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 ...
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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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Add this copy of Real Analysis and Infinity to cart. $96.81, like new condition, Sold by GreatBookPricesUK5 rated 5.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2022 by Oxford University Press.
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Add this copy of Real Analysis and Infinity to cart. $105.13, new condition, Sold by GreatBookPricesUK5 rated 5.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2022 by Oxford University Press.
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New. Contains: Unspecified. Includes unspecified. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of Real Analysis and Infinity to cart. $85.80, very good condition, Sold by Literary Cat Books rated 1.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 2022 by Oxford University Press.
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Near Fine in No Dust Jacket dust jacket. 0192895621. A modern and reader-friendly introduction to real analysis that places the concept of infinity at its core. Designed for undergraduate-level study, this textbook builds foundational rigor with fewer prerequisites than typical analysis texts by opening with set theory, logic, countability, and the principle of mathematical induction.; 16.5x24.4x3.8cm; viii, 547 pages.
Add this copy of Real Analysis and Infinity Format: Hardback to cart. $96.63, new condition, Sold by indoo rated 5.0 out of 5 stars, ships from Avenel, NJ, UNITED STATES, published 2022 by Oxford University Press.
Add this copy of Real Analysis and Infinity to cart. $106.97, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Oxford University Press.
Add this copy of Real Analysis and Infinity to cart. $125.04, new condition, Sold by Paperbackshop rated 5.0 out of 5 stars, ships from Bensenville, IL, UNITED STATES, published 2022 by Oxford University Press.
Add this copy of Real Analysis and Infinity to cart. $86.89, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2022 by Oxford University Press.
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New. Contains: Unspecified. Includes unspecified. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
