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Real Analysis and Infinity

Name: Real Analysis and Infinity
Brand: Oxford University Press
SKU: 9780192895622
Price: 101.44 EUR
Availability: InStock

Автор: Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)

Език:

Корици: С твърди корици

Издател: Oxford University Press

Наличност: Външен склад

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101.44 € 198.40 лв

Real Analysis and Infinity presents the essential topics for a first course in real analysis with an...

Информация за книгата

Автор

Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2022

страници

320

EAN

9780192895622

ISBN

0192895621

Enbook ID

37144339

Издател

Oxford University Press

Теглоt

1078

Размери

156 x 234 x 32

Пълно описание

Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts. After introducing sequences of numbers, it develops the set of real numbers in terms of Cauchy sequences of rational numbers, and uses this development to derive the important properties of real numbers like completeness. The book then develops the concepts of continuity, derivative, and integral, and presents the theory of infinite sequences and series of functions. Topics discussed are wide-ranging and include the convergence of sequences, definition of limits and continuity via converging sequences, and the development of derivative. The proofs of the vast majority of theorems are presented and pedagogical considerations are given priority to help cement the reader's knowledge. Preliminary discussion of each major topic is supplemented with examples and diagrams, and historical asides. Examples follow most major results to improve comprehension, and exercises at the end of each chapter help with the refinement of proof and calculation skills.

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