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: 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: 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
Автор: Junghenn, Hugo D. Название: A Course in Real Analysis ISBN: 1482219271 ISBN-13(EAN): 9781482219272 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. Наличие на складе: Нет в наличии.
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.
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: 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: Junghenn Название: Principles Of Real Analysis ISBN: 1498773281 ISBN-13(EAN): 9781498773287 Издательство: Taylor&Francis Рейтинг: Цена: 6600.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book prepares readers taking advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. It is also designed so that the reader or instructor may select topics suitable to their needs. The text is also a thorough examination of the essentials of measure, integration and functional analysis.
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: Steven G. Krantz Название: A Handbook of Real Variables ISBN: 146126409X ISBN-13(EAN): 9781461264095 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. We learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools.
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