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An introduction to analysis

Author: Robert C Gunning
Publisher: Princeton, N. J. : Princeton University Press, [ 2018] ©2018.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs and formal mathematical writing skills they need to excel. With a range of problems throughout, An Introduction to Analysis treats  Read more...
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Document Type: Book
All Authors / Contributors: Robert C Gunning
ISBN: 9780691178790 0691178798
OCLC Number: 1004911428
Notes: Includes indexes.
Description: x, 370 pages : illustrations ; 27 cm
Responsibility: Robert C. Gunning.

Abstract:

An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs and formal mathematical writing skills they need to excel. With a range of problems throughout, An Introduction to Analysis treats n-dimensional calculus from the beginning (differentiation, the Riemann integral, series, and differential forms and Stokes's theorem) enabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings.

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The book is clearly written, with elegant proofs, and a clever selection of the topics, allowing to present in one volume in a coherent and self-contained manner, several topics, starting with Read more...

 
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