An Introduction to Analysis

Gunning, Robert C.

ISBN 10: 0691178798 ISBN 13: 9780691178790

Published by Princeton University Press, Princeton, New Jersey, 2018

Language: English

Condition: New Hardcover

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With diagrams. Light shelfwear. ; Quarto; xii, 370 pages.

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Bibliographic Details

Title

An Introduction to Analysis

Publisher

Princeton University Press, Princeton, New Jersey

Publication Date

2018

Language

English

ISBN 10

0691178798

ISBN 13

9780691178790

Binding

Original Boards

Edition

First Edition; First Impression.

Condition

New

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About this title

Synopsis

An essential undergraduate textbook on algebra, topology, and calculus

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.

Proven in the classroom, An Introduction to Analysis is the first textbook to bring these topics together in one easy-to-use and comprehensive volume.

Provides a rigorous introduction to calculus in one and several variables
Introduces students to basic topology
Covers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings
Discusses differential forms and Stokes's theorem in n dimensions
Also covers the Riemann integral, integrability, improper integrals, and series expansions

About the Author

Robert C. Gunning is professor of mathematics at Princeton University. His books include Lectures on Riemann Surfaces and Lectures on Complex Analytic Varieties (both Princeton).

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