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Real Analysis and Infinity
Engelsk Hardback
Real Analysis and Infinity
Engelsk Hardback

678 kr
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6 - 8 hverdage

Om denne bog
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 detaljer
Sprog:
Engelsk
Sider:
576
ISBN-13:
9780192895622
Indbinding:
Hardback
Udgave:
ISBN-10:
0192895621
Udg. Dato:
31 mar 2022
Længde:
32mm
Bredde:
164mm
Højde:
240mm
Forlag:
Oxford University Press
Oplagsdato:
31 mar 2022
Forfatter(e):
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