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An Introduction to Real Analysis - Yitzhak Katznelson, Yonatan Katznelson

An Introduction to Real Analysis

Buch | Softcover
264 Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-7421-8 (ISBN)
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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.
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.

Yitzhak Katznelson, Stanford University, CA, and Yonatan Katznelson, University of California, Santa Cruz, CA.

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 $/mathbb {R}$

Erscheinungsdatum
Reihe/Serie Pure and Applied Undergraduate Texts ; 65
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 1-4704-7421-2 / 1470474212
ISBN-13 978-1-4704-7421-8 / 9781470474218
Zustand Neuware
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