{"title":"Avner Friedman","description":"\u003cp\u003eDelve into the thought-provoking works of Avner Friedman, exploring mathematical challenges and real-world applications. Discover how his books offer valuable insights into diverse scientific fields and problem-solving.\u003c\/p\u003e","products":[{"product_id":"foundations-of-modern-analysis-book-avner-friedman-9780486640624","title":"Foundations of Modern Analysis","description":"Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49520475341073,"sku":"GOR008492909","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":49570940682513,"sku":"GOR012012573","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50291863290129,"sku":"CIN0486640620G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50924679495953,"sku":"CIN0486640620VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":52110904885521,"sku":"NGR9780486640624","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486640620.jpg?v=1751434424"},{"product_id":"advanced-calculus-book-avner-friedman-9780486457956","title":"Advanced Calculus","description":"This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.\u003cbr\u003eThe first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49530387300625,"sku":"CIN0486457958VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50482145231121,"sku":"CIN0486457958G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50936433901841,"sku":"GOR006578911","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51002873774353,"sku":"NIN9780486457956","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486457958.jpg?v=1750943586"},{"product_id":"stochastic-differential-equations-and-applications-book-avner-friedman-9780486453590","title":"Stochastic Differential Equations and Applications","description":"This text develops the theory of systems of stochastic differential equations, and it presents applications in probability, partial differential equations, and stochastic control problems. Originally published in two volumes, it combines a book of basic theory and selected topics with a book of applications.\u003cbr\u003eThe first part explores Markov processes and Brownian motion; the stochastic integral and stochastic differential equations; elliptic and parabolic partial differential equations and their relations to stochastic differential equations; the Cameron-Martin-Girsanov theorem; and asymptotic estimates for solutions. The section concludes with a look at recurrent and transient solutions.\u003cbr\u003eVolume 2 begins with an overview of auxiliary results in partial differential equations, followed by chapters on nonattainability, stability and spiraling of solutions; the Dirichlet problem for degenerate elliptic equations; small random perturbations of dynamical systems; and fundamental solutions of degenerate parabolic equations. Final chapters examine stopping time problems and stochastic games and stochastic differential games. Problems appear at the end of each chapter, and a familiarity with elementary probability is the sole prerequisite.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50059256889617,"sku":"GOR013849672","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50351198568721,"sku":"CIN0486453596G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51002888683793,"sku":"NIN9780486453590","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486453596.jpg?v=1751007254"},{"product_id":"mathematical-modeling-of-biological-processes-book-avner-friedman-9783319083131","title":"Mathematical Modeling of Biological Processes","description":"This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50323259064593,"sku":"GOR013927326","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50893112770833,"sku":"NGR9783319083131","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51325173629201,"sku":"CIN3319083139VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52347631108369,"sku":"NLS9783319083131","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319083139.jpg?v=1750998870"},{"product_id":"differential-games-book-avner-friedman-9780486449951","title":"Differential Games","description":"This volume lays the mathematical foundations for the theory of differential games, developing a rigorous mathematical framework with existence theorems. It begins with a precise definition of a differential game and advances to considerations of games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, and games with restricted phase coordinates. Final chapters cover selected topics (including capturability and games with delayed information) and N-person games.\u003cbr\u003eGeared toward graduate students, Differential Games will be of particular interest to professionals in the fields of electrical engineering, industrial engineering, economics, and mathematics. Although intended primarily for self-study, it can be used as a core or ancillary text in courses in differential games, game theory, and control theory.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50355744964881,"sku":"CIN0486449955G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486449955.jpg?v=1751007250"},{"product_id":"industrial-mathematics-book-avner-friedman-9780898713244","title":"Industrial Mathematics","description":"Brings the excitement of real industrial problems into the undergraduate mathematical curriculum.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50366800789777,"sku":"CIN0898713242G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0898713242.jpg?v=1750705479"},{"product_id":"partial-differential-equations-book-avner-friedman-9780486469195","title":"Partial Differential Equations","description":"This three-part treatment focuses on elliptic and evolution equations. Largely self-contained, this volume concludes with a series of independent topics related to the methods and results of preceding sections and introduces advanced topics for further study. Geared toward graduate and postgraduate students, it also constitutes a valuable reference for professionals. 1969 edition.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50789513593105,"sku":"GOR014073345","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51002834682129,"sku":"NIN9780486469195","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":52325541609745,"sku":"CIN0486469190G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B00KEVFHOY.jpg?v=1751428076"},{"product_id":"variational-principles-and-free-boundary-problems-book-avner-friedman-9780471868491","title":"Variational Principles and Free-boundary Problems","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50823014875409,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":50823016644881,"sku":"CIN0471868493G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0471868493.jpg?v=1750814424"},{"product_id":"generalized-functions-and-partial-differential-equations-book-avner-friedman-9780486446103","title":"Generalized Functions and Partial Differential Equations","description":"This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy problem. In addition, the author provides applications developed through his own research. Geared toward upper-level undergraduates and graduate students, the text assumes a sound knowledge of both real and complex variables. Familiarity with the basic theory of functional analysis, especially normed spaces, is helpful but not necessary. An introductory chapter features helpful background on topological spaces. Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related topics. Supplementary materials include end-of-chapter problems, bibliographical remarks, and a bibliography.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51002889306385,"sku":"NIN9780486446103","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486446107.jpg?v=1751230032"},{"product_id":"partial-differential-equations-of-parabolic-type-book-avner-friedman-9780486466255","title":"Partial Differential Equations of Parabolic Type","description":"This accessible and self-contained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman -- Director of the Mathematical Biosciences Institute at The Ohio State University -- offers a systematic and thorough approach that begins with the main facts of the general theory of second order linear parabolic equations.\u003cbr\u003eSubsequent chapters explore asymptotic behavior of solutions, semi-linear equations and free boundary problems, and the extension of results concerning fundamental solutions and the Cauchy problem to systems of parabolic equations. The final chapter concerns questions of existence and uniqueness for the first boundary value problem and the differentiability of solutions, in terms of both elliptic and parabolic equations. The text concludes with an appendix on nonlinear equations and bibliographies of related works.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51002913554705,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51002916339985,"sku":"NIN9780486466255","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":53499497414929,"sku":"GOR010503177","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486466256.jpg?v=1751040262"},{"product_id":"generalized-functions-and-partial-differential-equations-book-avner-friedman-9781013423765","title":"Generalized Functions and Partial Differential Equations","description":null,"brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51012534894865,"sku":"NIN9781013423765","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1013423763.jpg?v=1751398335"},{"product_id":"tutorials-in-mathematical-biosciences-iv-book-avner-friedman-9783540743286","title":"Tutorials in Mathematical Biosciences IV","description":"Thisisthefourthvolumeintheseries“TutorialsinMathematicalBiosciences. ” These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical B- sciences Institute (MBI), at The Ohio State University. The aim of this series is to introduce graduate students and researchers with just a little ba- ground in either mathematics or biology to mathematical modeling of biol- ical processes. The ?rst volume was devoted to mathematical neuroscience, which was the focus of the MBI program 2002–2003. The second volume dealt with mathematical modeling of calcium dynamics in signal transduction, the focus of the MBI program in the winter of 2004. The third volume dealt with topics of cell cycle, tumor growth, and cancer therapy; these topics featured in several workshops held at the MBI in the fall of 2003. The present volume deals with a variety of topics of evolution and ecology, which were considered in the MBI during the year 2005–2006. These topics include phylogenetics; evolution of genes through migration–selection; ecological modeling; and e- lutionofdispersalandpopulationdynamics. Documentationofthe2005–2006 activities, including streaming videos of the workshops, can be found on the Web site: http:\/\/mbi. osu. edu. Phylogenetics is the study of the evolutionary relations of genes and - ganisms. Phylogenetic trees are represented by graphs in which the leaves represent observed biological entities. In constructing such graphs, one tries to trace the evolution of species, traits, or diseases. The ?rst two chapters of this volume deal with phylogenetics.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51333012554001,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51333015306513,"sku":"CIN3540743286VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52344327700753,"sku":"NLS9783540743286","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3540743286.jpg?v=1751032200"},{"product_id":"generalized-functions-and-partial-differential-equations-book-avner-friedman-9781013625480","title":"Generalized Functions and Partial Differential Equations","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51387889549585,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51387890237713,"sku":"NIN9781013625480","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/101362548X.jpg?v=1751365194"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9780387948652","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52133730484497,"sku":"NLS9780387948652","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53558361948433,"sku":"NIN9780387948652","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387948652.jpg?v=1757532821"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9780387949451","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52333713260817,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52333713981713,"sku":"NLS9780387949451","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387949451.jpg?v=1758155529"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461272571","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52337242669329,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52337243226385,"sku":"NLS9781461272571","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461272571.jpg?v=1758166016"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461391791","title":"Mathematics in Industrial Problems","description":"This is the fourth volume in the series Mathematics in Industrial Prob- lems. The motivation for these volumes is to foster interaction between Industry and Mathematics at the grass roots; that is, at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the third volume, as well as references to papers in which such solutions have been published.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52343636853009,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52343640883473,"sku":"NLS9781461391791","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461391791.jpg?v=1758173917"},{"product_id":"mathematical-models-in-photographic-science-book-avner-friedman-9783540442196","title":"Mathematical Models in Photographic Science","description":"th Although photography has its beginning in the 17 century, it was only in the 1920's that photography emerged as a science. And as with other s- ences, mathematics began to play an increasing role in the development of photography. The mathematical models and problems encountered in p- tography span a very broad spectrum, from the molecular level such as the interaction between photons and silver halide grains in image formation, to chemical processing in ?lm development and issues in manufacturing and quality control. In this book we present mathematical models that arise in today's p- tographic science. The book contains seventeen chapters, each dealing with oneareaofphotographicscience.Eachchapter,exceptthetwointroductory chapters, begins with general background information at a level understa- able by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as Ordinary Di?erential Equations, Partial Di?erential Equations, and Stochastic Processes. Next, some mathematical results are mentioned, often providing a partial solution to problemsraisedby the model.Finally,mostchaptersinclude problems.By the nature of the subject, there is quite a bit ofdisparity in the mathematical level of the various chapters.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52425057337617,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52425058189585,"sku":"NLS9783540442196","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540442196.jpg?v=1759153733"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9780387985183","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52431518368017,"sku":"NLS9780387985183","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387985183.jpg?v=1759172750"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781441928573","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52481743388945,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52481744568593,"sku":"NLS9781441928573","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781441928573.jpg?v=1759852174"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461391005","title":"Mathematics in Industrial Problems","description":"This is the third volume in the series Mathematics in Industrial Prob- lems. The motivation for these volumes is to foster interaction between Industry and Mathematics at the grass roots; that is, at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the second volume, as well as references to papers in which such solutions have been published.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52617584345361,"sku":"NLS9781461391005","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461391005.jpg?v=1761530742"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461384564","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52617843540241,"sku":"NLS9781461384564","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461384564.jpg?v=1761531494"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461383857","title":"Mathematics in Industrial Problems","description":"This is the sixth volume in the series Mathematics in Industrial Prob- lems.  The motivation for these volumes is to foster interaction between Industry and Mathematics at the grass roots level; that is, at the level of specific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob- lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subse- quent discussions. Each chapter is devoted to one of the talks and is self- contained. The chapters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in previous volumes, as well as references to papers in which such solutions have been published. The speakers in the seminar on Industrial Problems have given us at the IMA hours of delight and discovery. My thanks to Thomas Hoffend (3M), John Spence (Eastman Kodak Company), Marius Orlowski (Mo- torola, Inc. ), Robert J.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52619844485393,"sku":"NLS9781461383857","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461383857.jpg?v=1761537000"},{"product_id":"variational-and-free-boundary-problems-book-avner-friedman-9781461383598","title":"Variational and Free Boundary Problems","description":"This IMA Volume in Mathematics and its Applications VARIATIONAL AND FRE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on Phase Transitions and Free Boundaries.  The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L. A. Peletier for organizing the year-long program and, especially, J. Sprock for co-organizing the meeting and co-editing these proceedings. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. Avner Friedman Willard Miller, Jr. PREFACE In a free boundary one seeks to find a solution u to a partial differential equation in a domain, a part r of its boundary of which is unknown. Thus both u and r must be determined. In addition to the standard boundary conditions on the un- known domain, an additional condition must be prescribed on the free boundary. A classical example is the Stefan problem of melting of ice; here the temperature sat- isfies the heat equation in the water region, and yet this region itself (or rather the ice-water interface) is unknown and must be determined together with the tempera- ture within the water. Some free boundary problems lend themselves to variational formulation.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52622562066705,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52622562787601,"sku":"NLS9781461383598","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461383598.jpg?v=1761606472"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461574019","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52627143655697,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52627144409361,"sku":"NLS9781461574019","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461574019.jpg?v=1761692730"},{"product_id":"mathematical-models-in-photographic-science-book-avner-friedman-9783642629136","title":"Mathematical Models in Photographic Science","description":"th Although photography has its beginning in the 17 century, it was only in the 1920's that photography emerged as a science. And as with other s- ences, mathematics began to play an increasing role in the development of photography. The mathematical models and problems encountered in p- tography span a very broad spectrum, from the molecular level such as the interaction between photons and silver halide grains in image formation, to chemical processing in ?lm development and issues in manufacturing and quality control. In this book we present mathematical models that arise in today's p- tographic science. The book contains seventeen chapters, each dealing with oneareaofphotographicscience.Eachchapter,exceptthetwointroductory chapters, begins with general background information at a level understa- able by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as Ordinary Di?erential Equations, Partial Di?erential Equations, and Stochastic Processes. Next, some mathematical results are mentioned, often providing a partial solution to problemsraisedby the model.Finally,mostchaptersinclude problems.By the nature of the subject, there is quite a bit ofdisparity in the mathematical level of the various chapters.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52660117242129,"sku":"NLS9783642629136","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642629136.jpg?v=1762264538"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461273134","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52661814821137,"sku":"NLS9781461273134","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461273134.jpg?v=1762268078"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461574040","title":"Mathematics in Industrial Problems","description":"This is the second volume in the series Mathematics in Industrial Prob- lems. The motivation for both volumes is to foster inter action between Industry and Mathematics at the grass roots; that is at the level of spe- cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac- ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap- ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briey. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52665462587665,"sku":"NLS9781461574040","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461574040.jpg?v=1762277373"},{"product_id":"mathematics-in-industrial-problems-book-avner-friedman-9781461574071","title":"Mathematics in Industrial Problems","description":"Developed from the cooperation between mathematicians and industrial scientists on the grass roots level of specific problems, this book is the most recent in a collection of self-contained volumes which present industrial problems to mathematicians.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52666588070161,"sku":"NLS9781461574071","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461574071.jpg?v=1762280334"},{"product_id":"tutorials-in-mathematical-biosciences-iii-book-avner-friedman-9783540291626","title":"Tutorials in Mathematical Biosciences III","description":"This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52676183294225,"sku":"NLS9783540291626","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540291626.jpg?v=1762303666"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-avner-friedman.oembed?page=2","provider":"World of Books ","version":"1.0","type":"link"}