- First undergraduate text that provides accessible introduction to real and convex analysis
- Top authors from Princeton University (both published previously successful books)
- Lots of examples and exercises
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- About this Textbook
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This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program. The book is built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory. The treatment is modern and aesthetically pleasing. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory.
- About the authors
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Erhan Cinlar, Professor and former Chair of Operations Research and Financial Engineering, Princeton University Robert J. Vanderbei, Professor and former Chair of Operations Research and Financial Engineering, Princeton University
- Reviews
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From the reviews:
“The purpose of this slim volume is to serve as a (very quick) introduction to analysis for advanced undergraduate or graduate students in science and engineering. Einlar and Vanderbei (both, Princeton) base this introduction to analysis on metric spaces. … Summing Up: Recommended. Upper-division undergraduates and graduate students.” (D. Robbins, Choice, Vol. 50 (11), July, 2013)
- Table of contents (7 chapters)
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Sets and Functions
Pages 1-21
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Metric Spaces
Pages 23-45
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Functions on Metric Spaces
Pages 47-63
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Differential and Integral Equations
Pages 65-84
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Convexity
Pages 85-99
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Real and Convex Analysis
- Authors
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- Erhan Çınlar
- Robert J. Vanderbei
- Series Title
- Undergraduate Texts in Mathematics
- Copyright
- 2013
- Publisher
- Springer US
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4614-5257-7
- DOI
- 10.1007/978-1-4614-5257-7
- Hardcover ISBN
- 978-1-4614-5256-0
- Softcover ISBN
- 978-1-4899-9859-0
- Series ISSN
- 0172-6056
- Edition Number
- 1
- Number of Pages
- IX, 161
- Topics
