Real and Convex Analysis
Seiten
2013
Springer-Verlag New York Inc.
978-1-4614-5256-0 (ISBN)
Springer-Verlag New York Inc.
978-1-4614-5256-0 (ISBN)
This book offers a first course in analysis for scientists and engineers. In subsequent chapters, the basic tools of analysis are used to give briefintroductions to differential and integral equations, convex analysis, and measure theory.
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.
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.
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
Sets and Functions.- Metric Spaces.- Functions on Metric Spaces.- Differential and Integral Equations.- Convexity.-Convex Optimization.- Measure and Integration.- Bibiography.-Index.-
| Erscheint lt. Verlag | 3.1.2013 |
|---|---|
| Reihe/Serie | Undergraduate Texts in Mathematics |
| Zusatzinfo | IX, 161 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
| Wirtschaft ► Betriebswirtschaft / Management | |
| Schlagworte | Cinlar and Analysis • convex optimization textbook • differential equations textbook • Integral equations • Metric Spaces • Vanderbei and Analysis |
| ISBN-10 | 1-4614-5256-2 / 1461452562 |
| ISBN-13 | 978-1-4614-5256-0 / 9781461452560 |
| Zustand | Neuware |
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