An Introduction to Real Analysis
Published on 31. July 2024
Book
Paperback/Softback
264 pages
978-1-4704-7421-8 (ISBN)
Description
An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome.
The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.
The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7421-8 (9781470474218)
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Schweitzer Classification
Persons
Yitzhak Katznelson, Stanford University, CA, and Yonatan Katznelson, University of California, Santa Cruz, CA.
Content
The real numbers
Sequences and series
The topology of the real line
Continuous functions
Sequences and series of functions
Differentiation
The Riemann integral
The Lebesgue integral
Appendix A. Set theory and constructing $\mathbb {R}$
Sequences and series
The topology of the real line
Continuous functions
Sequences and series of functions
Differentiation
The Riemann integral
The Lebesgue integral
Appendix A. Set theory and constructing $\mathbb {R}$