{"title":"James R Kirkwood","description":null,"products":[{"product_id":"bridge-to-higher-mathematics-book-james-r-kirkwood-9781032611846","title":"A Bridge to Higher Mathematics","description":"The goal of this unique text is to provide an experience that would facilitate a better transition for mathematics majors to the advanced proof-based courses required for their major. If you love mathematics, but I hate proofs this book is for you. 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Writing style is less formal and material presented in a way such that the student can develop an intuition for the subject and acquire some experience in constructing proofs. The slower pace of the subject and the attention given to examples are meant to ease the student's transition from computational to theoretical mathematics.","brand":"WoB","offers":[{"title":"US \/ WELL_READ \/ SBYB","offer_id":50355765707025,"sku":"CIN0534944221A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0534944221.jpg?v=1751392193"},{"product_id":"linear-algebra-book-james-r-kirkwood-9781498776851","title":"Linear Algebra","description":"Linear Algebra, James R. Kirkwood and Bessie H. Kirkwood, 978-1-4987-7685-1, K29751  Shelving Guide: Mathematics  This text has a major focus on demonstrating facts and techniques of linear systems that will be invaluable in higher mathematics and related fields. A linear algebra course has two major audiences that it must satisfy. It provides an important theoretical and computational tool for nearly every discipline that uses mathematics. It also provides an introduction to abstract mathematics.   This book has two parts. Chapters 1–7 are written as an introduction. Two primary goals of these chapters are to enable students to become adept at computations and to develop an understanding of the theory of basic topics including linear transformations. Important applications are presented.   Part two, which consists of Chapters 8–14, is at a higher level. It includes topics not usually taught in a first course, such as a detailed justification of the Jordan canonical form, properties of the determinant derived from axioms, the Perron–Frobenius theorem and bilinear and quadratic forms.   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Key features include:         Chapters 1–7 may be used for a first course relying on applications      Chapters 8–14 offer a more advanced, theoretical course      Definitions are highlighted throughout      MATLAB® and R Project tutorials in the appendices      Exercises span a range from simple computations to fairly direct abstract exercises      Historical notes motivate the presentation","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51030704455953,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51030706585873,"sku":"NIN9781498776851","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52407566205201,"sku":"NLS9781498776851","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/149877685X.jpg?v=1751243580"},{"product_id":"introduction-to-analysis-book-james-r-kirkwood-9781032021867","title":"An Introduction to Analysis","description":"The third edition of this widely popular textbook is authored by a master teacher. This book provides a mathematically rigorous introduction to analysis of real­valued functions of one variable. This intuitive, student-friendly text is written in a manner that will help to ease the transition from primarily computational to primarily theoretical mathematics.   The material is presented clearly and as intuitive as possible while maintaining mathematical integrity. The author supplies the ideas of the proof and leaves the write-up as an exercise. The text also states why a step in a proof is the reasonable thing to do and which techniques are recurrent.  Examples, while no substitute for a proof, are a valuable tool in helping to develop intuition and are an important feature of this text. Examples can also provide a vivid reminder that what one hopes might be true is not always true.   Features of the Third Edition:         Begins with a discussion of the axioms of the real number system.         The limit is introduced via sequences.      Examples motivate what is to come, highlight the need for hypothesis in a theorem, and make abstract ideas more concrete.      A new section on the Cantor set and the Cantor function.       Additional material on connectedness.      Exercises range in difficulty from the routine \"getting your feet wet\" types of problems to the moderately challenging problems.      Topology of the real number system is developed to obtain the familiar properties of continuous functions.      Some exercises are devoted to the construction of counterexamples.   The author presents the material to make the subject understandable and perhaps exciting to those who are beginning their study of abstract mathematics.  Table of Contents  Preface  Introduction         The Real Number System      Sequences of Real Numbers      Topology of the Real Numbers      Continuous Functions      Differentiation      Integration      Series of Real Numbers      Sequences and Series of Functions      Fourier Series  Bibliography  Hints and Answers to Selected Exercises  Index  Biography  James R. Kirkwood holds a Ph.D. from University of Virginia. He has authored fifteen, published mathematics textbooks on various topics including calculus, real analysis, mathematical biology and mathematical physics. His original research was in mathematical physics, and he co-authored the seminal paper in a topic now called Kirkwood-Thomas Theory in mathematical physics. During the summer, he teaches real analysis to entering graduate students at the University of Virginia. He has been awarded several National Science Foundation grants. 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This intuitive, student-friendly text is written in a manner that will help to ease the transition from primarily computational to primarily theoretical mathematics.   The material is presented clearly and as intuitive as possible while maintaining mathematical integrity. The author supplies the ideas of the proof and leaves the write-up as an exercise. The text also states why a step in a proof is the reasonable thing to do and which techniques are recurrent.  Examples, while no substitute for a proof, are a valuable tool in helping to develop intuition and are an important feature of this text. Examples can also provide a vivid reminder that what one hopes might be true is not always true.   Features of the Third Edition:         Begins with a discussion of the axioms of the real number system.         The limit is introduced via sequences.      Examples motivate what is to come, highlight the need for hypothesis in a theorem, and make abstract ideas more concrete.      A new section on the Cantor set and the Cantor function.       Additional material on connectedness.      Exercises range in difficulty from the routine \"getting your feet wet\" types of problems to the moderately challenging problems.      Topology of the real number system is developed to obtain the familiar properties of continuous functions.      Some exercises are devoted to the construction of counterexamples.   The author presents the material to make the subject understandable and perhaps exciting to those who are beginning their study of abstract mathematics.  Table of Contents  Preface  Introduction         The Real Number System      Sequences of Real Numbers      Topology of the Real Numbers      Continuous Functions      Differentiation      Integration      Series of Real Numbers      Sequences and Series of Functions      Fourier Series  Bibliography  Hints and Answers to Selected Exercises  Index  Biography  James R. Kirkwood holds a Ph.D. from University of Virginia. 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His texts, \u003ci\u003eElementary\u003c\/i\u003e \u003ci\u003eLinear Algebra\u003c\/i\u003e, \u003ci\u003eLinear Algebra\u003c\/i\u003e, and \u003ci\u003eMarkov Processes, \u003c\/i\u003eare also published by CRC Press.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51417321341201,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":51417322258705,"sku":"CIN1577662326G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1577662326.jpg?v=1751182028"},{"product_id":"markov-processes-book-james-r-kirkwood-9781032921648","title":"Markov Processes","description":"Clear, rigorous, and intuitive, Markov Processes provides a bridge from an undergraduate probability course to a course in stochastic processes and also as a reference for those that want to see detailed proofs of the theorems of Markov processes. It contains copious computational examples that motivate and illustrate the theorems. The text is designed to be understandable to students who have taken an undergraduate probability course without needing an instructor to fill in any gaps.   The book begins with a review of basic probability, then covers the case of finite state, discrete time Markov processes. Building on this, the text deals with the discrete time, infinite state case and provides background for continuous Markov processes with exponential random variables and Poisson processes. It presents continuous Markov processes which include the basic material of Kolmogorov’s equations, infinitesimal generators, and explosions. The book concludes with coverage of both discrete and continuous reversible Markov chains.  While Markov processes are touched on in probability courses, this book offers the opportunity to concentrate on the topic when additional study is required. It discusses how Markov processes are applied in a number of fields, including economics, physics, and mathematical biology. The book fills the gap between a calculus based probability course, normally taken as an upper level undergraduate course, and a course in stochastic processes, which is typically a graduate course.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51597866828049,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51597866991889,"sku":"NGR9781032921648","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1032921641.jpg?v=1751174086"},{"product_id":"markov-processes-book-james-r-kirkwood-9781041045311","title":"Markov Processes","description":"Markov Processes provides a bridge from an undergraduate probability course to a course in stochastic processes. The text is designed to be understandable to students who have taken an undergraduate probability course without needing an instructor to fill in any gaps.  Clear, rigorous, and intuitive, the second edition builds on the successful first, used in courses and as a reference for those who want to see detailed proofs of the theorems of Markov processes. It contains copious computational examples that motivate and illustrate the theorems.  This second edition presents a new chapter illustrating the utility of using digraphs to describe whether a Markov process is reducible, absorbing, etc. There are additional exercises, and some material has been applied in a number of fields, including economics, physics, and mathematical biology.  This book begins with a review of basic probability, then covers the case of finite-state, discrete-time Markov processes. Building on this, the text deals with the discrete-time, infinite-state case and provides background for continuous Markov processes with exponential random variables and Poisson processes. It presents continuous Markov processes that include the basic content of Kolmogorov’s equations, infinitesimal generators, and explosions. This book concludes with coverage of both discrete and continuous reversible Markov chains.  While Markov processes are touched on in probability courses, this book offers the opportunity to concentrate on the topic when additional study is required. It creates a more seamless transition to prepare the student for what comes next.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51598973010193,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51598973141265,"sku":"NGR9781041045311","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52614440321297,"sku":"NLS9781041045311","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/104104531X.jpg?v=1759509975"},{"product_id":"markov-processes-book-james-r-kirkwood-9781041046660","title":"Markov Processes","description":"Markov Processes provides a bridge from an undergraduate probability course to a course in stochastic processes. The text is designed to be understandable to students who have taken an undergraduate probability course without needing an instructor to fill in any gaps.  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It presents continuous Markov processes that include the basic content of Kolmogorov’s equations, infinitesimal generators, and explosions. This book concludes with coverage of both discrete and continuous reversible Markov chains.  While Markov processes are touched on in probability courses, this book offers the opportunity to concentrate on the topic when additional study is required. It creates a more seamless transition to prepare the student for what comes next.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51598979399953,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51598979662097,"sku":"NGR9781041046660","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52614452314385,"sku":"NLS9781041046660","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52725054570769,"sku":"NIN9781041046660","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1041046669.jpg?v=1758880757"},{"product_id":"linear-algebra-book-james-r-kirkwood-9780367569020","title":"Linear Algebra","description":"Linear Algebra, James R. Kirkwood and Bessie H. Kirkwood, 978-1-4987-7685-1, K29751  Shelving Guide: Mathematics  This text has a major focus on demonstrating facts and techniques of linear systems that will be invaluable in higher mathematics and related fields. A linear algebra course has two major audiences that it must satisfy. It provides an important theoretical and computational tool for nearly every discipline that uses mathematics. It also provides an introduction to abstract mathematics.   This book has two parts. Chapters 1–7 are written as an introduction. Two primary goals of these chapters are to enable students to become adept at computations and to develop an understanding of the theory of basic topics including linear transformations. Important applications are presented.   Part two, which consists of Chapters 8–14, is at a higher level. It includes topics not usually taught in a first course, such as a detailed justification of the Jordan canonical form, properties of the determinant derived from axioms, the Perron–Frobenius theorem and bilinear and quadratic forms.   Though users will want to make use of technology for many of the computations, topics are explained in the text in a way that will enable students to do these computations by hand if that is desired.  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The organization of the book helps to focus on the specific methods of proof and main ideas that will be emphasized in each of the courses.  The text may also be used as a review tool at the end of each course and for readers who want to learn the language and scope of the broad disciplines of linear algebra, abstract algebra, real analysis, and probability, before transitioning to these courses.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52597366915345,"sku":"NLS9781032623856","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53656549982481,"sku":"NIN9781032623856","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781032623856.jpg?v=1761074209"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-james-r-kirkwood.oembed","provider":"World of Books ","version":"1.0","type":"link"}