Автор: S Kumaresan Ajit Kumar & Название: Basic Course in Real Analysis ISBN: 148221637X ISBN-13(EAN): 9781482216370 Издательство: Taylor&Francis Рейтинг: Цена: 15312.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations.
With more than 100 pictures, the book creates interest in real analysis by encouraging students to think geometrically. Each difficult proof is prefaced by a strategy and explanation of how the strategy is translated into rigorous and precise proofs. The authors then explain the mystery and role of inequalities in analysis to train students to arrive at estimates that will be useful for proofs. They highlight the role of the least upper bound property of real numbers, which underlies all crucial results in real analysis. In addition, the book demonstrates analysis as a qualitative as well as quantitative study of functions, exposing students to arguments that fall under hard analysis.
Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this book explains the hows and whys of real analysis and provides guidance that makes readers think at every stage.
Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Автор: Murray H. Protter; Charles B. Jr. Morrey Название: A First Course in Real Analysis ISBN: 0387974377 ISBN-13(EAN): 9780387974378 Издательство: Springer Рейтинг: Цена: 7680.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises.
Автор: Murray H. Protter; Charles B. Jr. Morrey Название: A First Course in Real Analysis ISBN: 146126460X ISBN-13(EAN): 9781461264606 Издательство: Springer Рейтинг: Цена: 7680.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises.
Автор: Burn Название: Numbers and Functions ISBN: 1107444535 ISBN-13(EAN): 9781107444539 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this updated edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of over 800 problems to concepts, definitions and proofs of classical real analysis.
Автор: Little Charles H.C. Название: Real Analysis via Sequences and Series ISBN: 1493926500 ISBN-13(EAN): 9781493926503 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis`s formula and Stirling`s formula, proofs of the irrationality of ГЇВїВЅ and e and a treatment of Newton`s method as a special instance of finding fixed points of iterated functions.
Описание: This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable.
Автор: Koerner, T. W. (university Of Cambridge) Название: Fourier analysis ISBN: 1009230050 ISBN-13(EAN): 9781009230056 Издательство: Cambridge Academ Рейтинг: Цена: 6176.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Koerner`s much-loved book provides a shop window for the ideas, techniques and elegant results of Fourier analysis, and for their applications, emphasising the subject`s diversity of interest. This edition includes a foreword written by Professor Terence Tao introducing the text to a new generation of fans.
Автор: Kadets Vladimir Название: A Course in Functional Analysis and Measure Theory ISBN: 3319920030 ISBN-13(EAN): 9783319920030 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduction.- Chapter 1. Metric and topological spaces.- Chapter 2. Measure theory.- Chapter 3. Measurable functions.- Chapter 4. The Lebesgue integral.- Chapter 5. Linear spaces, linear functionals, and the Hahn-Banach theorem.- Chapter 6. Normed spaces.- Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral.- Chapter 8. The integral on C(K).- Chapter 9. Continuous linear functionals.- Chapter 10. Classical theorems on continuous operators.- Chapter 11. Elements of spectral theory of operators. Compact operators.- Chapter 12. Hilbert spaces.- Chapter 13. Functions of an operator.- Chapter 14. Operators in Lp.- Chapter 15. Fixed-point theorems and applications.- Chapter 16. Topological vector spaces.- Chapter 17. Elements of duality theory.- Chapter 18. The Krein-Milman theorem and applications.- References. Index.
Автор: Cui, Ying Pang, Jong-shi Название: Modern nonconvex nondifferentiable optimization ISBN: 1611976731 ISBN-13(EAN): 9781611976731 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 14923.00 р. Наличие на складе: Нет в наличии.
Описание: Starting with the fundamentals of classical smooth optimization and building on established convex programming techniques, this research monograph presents a foundation and methodology for modern nonconvex nondifferentiable optimization. It provides readers with theory, methods, and applications of nonconvex and nondifferentiable optimization in statistical estimation, operations research, machine learning, and decision making. A comprehensive and rigorous treatment of this emergent mathematical topic is urgently needed in today's complex world of big data and machine learning. This book takes a thorough approach to the subject and includes examples and exercises to enrich the main themes, making it suitable for classroom instruction. Modern Nonconvex Nondifferentiable Optimization is intended for applied and computational mathematicians, optimizers, operations researchers, statisticians, computer scientists, engineers, economists, and machine learners. It could be used in advanced courses on optimization/operations research and nonconvex and nonsmooth optimization.
Автор: Stein, Elias M. Shakarchi, Rami Название: Real analysis ISBN: 0691113866 ISBN-13(EAN): 9780691113869 Издательство: Wiley Рейтинг: Цена: 14573.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for the students interested in the disciplines of mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels, this third volume in a series of titles focuses on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals.
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