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Convex Analysis - Textbooks in Mathematics
Steven G. Krantz
Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.
Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically.
Featuring a user-friendly approach, the book contains copious examples and plenty of figures to illustrate the ideas presented. It also includes an appendix with the technical tools needed to understand certain arguments in the book, a tale of notation, and a thorough glossary to help readers with unfamiliar terms. This book is a definitive introductory text to the concept of convexity in the context of mathematical analysis and a suitable resource for students and faculty alike.
176 pages, 64 black & white illustrations
| Medij | Knjige Paperback Book (Knjiga z mehkimi platnicami in lepljenim hrbtom) |
| Izdano | 24. oktobra 2014 |
| ISBN13 | 9781498706377 |
| Založniki | Taylor & Francis Inc |
| Strani | 176 |
| Dimenzije | 158 × 233 × 12 mm · 317 g |
| Jezik | Angleščina |
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![Cover for Steven G. Krantz · A Mathematical Odyssey: Journey from the Real to the Complex (Paperback Book) [Softcover reprint of the original 1st ed. 2014 edition] (2016)](https://imusic.b-cdn.net/images/item/original/448/9781489978448.jpg?steven-g-krantz-2016-a-mathematical-odyssey-journey-from-the-real-to-the-complex-paperback-book&class=scaled&v=1603964167)
![Cover for Steven G. Krantz · The Proof is in the Pudding: The Changing Nature of Mathematical Proof (Paperback Book) [Softcover reprint of the original 1st ed. 2011 edition] (2016)](https://imusic.b-cdn.net/images/item/original/834/9781493938834.jpg?steven-g-krantz-2016-the-proof-is-in-the-pudding-the-changing-nature-of-mathematical-proof-paperback-book&class=scaled&v=1615213894)
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![Cover for Steven G. Krantz · The Implicit Function Theorem: History, Theory, and Applications - Modern Birkhauser Classics (Paperback Book) [2013 edition] (2012)](https://imusic.b-cdn.net/images/item/original/804/9781461459804.jpg?steven-g-krantz-2012-the-implicit-function-theorem-history-theory-and-applications-modern-birkhauser-classics-paperback-book&class=scaled&v=1490789025)
![Cover for Steven G. Krantz · Handbook of Logic and Proof Techniques for Computer Science (Paperback Book) [Softcover reprint of the original 1st ed. 2002 edition] (2012)](https://imusic.b-cdn.net/images/item/original/198/9781461266198.jpg?steven-g-krantz-2012-handbook-of-logic-and-proof-techniques-for-computer-science-paperback-book&class=scaled&v=1492633520)
![Cover for Steven G. Krantz · The Geometry of Domains in Space - Birkhauser Advanced Texts / Basler Lehrbucher (Paperback Book) [Softcover reprint of the original 1st ed. 1999 edition] (2012)](https://imusic.b-cdn.net/images/item/original/994/9781461271994.jpg?steven-g-krantz-2012-the-geometry-of-domains-in-space-birkhauser-advanced-texts-basler-lehrbucher-paperback-book&class=scaled&v=1501451615)
![Cover for Steven G. Krantz · Handbook of Complex Variables (Paperback Book) [Softcover reprint of the original 1st ed. 1999 edition] (2012)](https://imusic.b-cdn.net/images/item/original/069/9781461272069.jpg?steven-g-krantz-2012-handbook-of-complex-variables-paperback-book&class=scaled&v=1493182156)
![Cover for Steven G. Krantz · A Primer of Real Analytic Functions - Birkhauser Advanced Texts / Basler Lehrbucher (Paperback Book) [Softcover reprint of the original 2nd ed. 2002 edition] (2012)](https://imusic.b-cdn.net/images/item/original/125/9781461264125.jpg?steven-g-krantz-2012-a-primer-of-real-analytic-functions-birkhauser-advanced-texts-basler-lehrbucher-paperback-book&class=scaled&v=1582187977)
![Cover for Steven G. Krantz · A Handbook of Real Variables: With Applications to Differential Equations and Fourier Analysis (Paperback Book) [Softcover reprint of the original 1st ed. 2004 edition] (2012)](https://imusic.b-cdn.net/images/item/original/095/9781461264095.jpg?steven-g-krantz-2012-a-handbook-of-real-variables-with-applications-to-differential-equations-and-fourier-analysis-paperback-book&class=scaled&v=1554007207)
