{"title":"Hugo D Junghenn","description":null,"products":[{"product_id":"principles-of-analysis-book-hugo-d-junghenn-9781032476216","title":"Principles of Analysis","description":"Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis.    The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter .    Features:            Contains direct and concise proofs with attention to detail          Features a substantial variety of interesting and nontrivial examples          Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises          Provides an eclectic set of special topics and applications      About the Author:    Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50698558931217,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50698562306321,"sku":"NGR9781032476216","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1032476214.jpg?v=1751143289"},{"product_id":"discrete-mathematics-with-coding-book-hugo-d-junghenn-9781032398525","title":"Discrete Mathematics with Coding","description":"This book, for a first undergraduate course in Discrete Mathematics, systematically exploits the relationship between discrete mathematics and computer programming. Unlike most discrete mathematics texts focusing on one of the other, the book explores the rich and important connection between these two disciplines and shows how each discipline reinforces and enhances the other.  The mathematics in the book is self-contained, requiring only a good background in precalculus and some mathematical maturity. New mathematical topics are introduced as needed.  The coding language used is VBA Excel. The language is easy to learn, has intuitive commands, and the reader can develop interesting programs from the outset. Additionally, the spreadsheet platform in Excel makes for convenient and transparent data input and output and provides a powerful venue for complex data manipulation. Manipulating data is greatly simplified using spreadsheet features and visualizing the data can make programming and debugging easier.   The VBA language is seamlessly integrated into the spreadsheet environment with no other resources required. Furthermore, as some of the modules in the book show, intricate patterns, graphs, and animation in the form of moving cells is possible.   Features         Introduces coding in VBA Excel assuming no previous coding experience.      Develops programs in Linear Analysis, Logic, Combinatorics, Probability, and Number Theory.      Contains over 90 fully tested and debugged programs. The code for these is as well as the exercises is available on the author's website.      Contains numerous examples that gradually introduce the reader to coding techniques.       Includes programs that solve systems of linear equations, linear programming problems, combinatorial problems, Venn diagram problems and programs that produce truth tables from logic statements and logic statements from switching and gate circuits, encrypt and decrypt messages and simulate probability experiments.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50698662510865,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50698664313105,"sku":"NGR9781032398525","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1032398523.jpg?v=1751111724"},{"product_id":"symbolic-mathematics-with-python-book-hugo-d-junghenn-9783031905216","title":"Symbolic Mathematics with Python","description":"This book provides a hands-on approach to computer symbolic computation using the elementary commands of Python. Symbolic computer mathematics is the study of algorithms that can be implemented as computer programs which provide exact results rather than numerical approximations. The author begins by discussing Python essentials an number theory. Then, the book covers the simplification and evaluation of expressions involving multivariate rational functions, the exact solutions of systems of linear equations, and applications of polynomial algebra. Programs in symbolic differentiation and indefinite integration programs are also developed.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51631548760337,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51631549055249,"sku":"NGR9783031905216","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52539792949521,"sku":"NLS9783031905216","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031905210.jpg?v=1754488476"},{"product_id":"course-in-real-analysis-book-hugo-d-junghenn-9781041045632","title":"A Course in Real Analysis","description":"Now in its second editon, A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus. It proceeds gradually from an axiomatic characterization of the real number system to the study of differentiation and integration on m-dimensional surfaces. Proofs of theorems are given in detail, and many examples are provided to illustrate the concepts expressed in the theorems.  The book consists of three parts. Part I treats the calculus of functions of one variable. Traditional topics such as sequences, continuity, differentiability, Riemann integrability, numerical series, and the convergence of sequences and series of functions are covered. Optional sections on Stirling’s formula, Riemann–Stieltjes integration, and other topics are also included.  The second part focuses on functions of several variables. It introduces the topological ideas (such as compact and connected sets) needed to describe analytical properties of multivariable functions. This part also discusses differentiability and integrability of multivariable functions, and it develops the theory of differential forms on surfaces in Rn.  Many proofs and explanations in the first edition have been revised, and details have been added to clarify the exposition. Part III contains the Appendices on set theory and linear algebra, as well as solutions to some of the exercises are offered, while a full Solutions Manual contains complete solutions to all exercises for qualifying instructors.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":52119449829649,"sku":"NGR9781041045632","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":53213614768401,"sku":"NLS9781041045632","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781041045632.jpg?v=1770893694"},{"product_id":"introduction-to-financial-mathematics-book-hugo-d-junghenn-9780367208820","title":"An Introduction to Financial Mathematics","description":"Designed for readers having a background in standard multivariable calculus, Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives. New examples and exercises have been added in this second edition.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52485864653073,"sku":"NLS9780367208820","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53689202540817,"sku":"NIN9780367208820","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780367208820.jpg?v=1759858314"},{"product_id":"introduction-to-financial-mathematics-book-hugo-d-junghenn-9781032475752","title":"An Introduction to Financial Mathematics","description":"Designed for readers having a background in standard multivariable calculus, Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives. 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