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Oxford University Press Real Analysis and Infinity

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£67.11 £63.75 £65.10 £66.44 £67.78 £69.12 £70.47 25 July 2026 29 July 2026 03 August 2026 07 August 2026 12 August 2026
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Description
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.

Product Specifications
Brand
Oxford University Press
Format
hardcover
ASIN
0192895621
Category
Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Real Analysis
Domain
Amazon UK
Release Date
31 March 2022
Listed Since
17 September 2021

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No barcode data available

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