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Essentials of Topology with Applications - Textbooks in Mathematics Steven G. Krantz 1. izdevums
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Essentials of Topology with Applications - Textbooks in Mathematics
Steven G. Krantz
Brings Readers Up to Speed in This Important and Rapidly Growing Area
Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories.
After discussing the key ideas of topology, the author examines the more advanced topics of algebraic topology and manifold theory. He also explores meaningful applications in a number of areas, including the traveling salesman problem, digital imaging, mathematical economics, and dynamical systems. The appendices offer background material on logic, set theory, the properties of real numbers, the axiom of choice, and basic algebraic structures.
Taking a fresh and accessible approach to a venerable subject, this text provides excellent representations of topological ideas. It forms the foundation for further mathematical study in real analysis, abstract algebra, and beyond.
420 pages, 500+; 156 Illustrations, black and white
| Mediji | Grāmatas Paperback Book (Grāmata ar mīksto vāku un līmēto muguru) |
| Izlaists | 2017. gada 31. maijs |
| ISBN13 | 9781138114456 |
| Izdevēji | Taylor & Francis Ltd |
| Lapas | 424 |
| Izmēri | 254 × 179 × 35 mm · 788 g |
| Valoda | Angļu |
![Cover for Steven G. Krantz · The E. M. Stein Lectures on Hardy Spaces - Lecture Notes in Mathematics (Paperback Book) [1st ed. 2023 edition] (2023)](https://imusic.b-cdn.net/images/item/original/511/9783031219511.jpg?steven-g-krantz-2023-the-e-m-stein-lectures-on-hardy-spaces-lecture-notes-in-mathematics-paperback-book&class=scaled&v=1694760026)
![Cover for Steven G. Krantz · Harmonic and Complex Analysis in Several Variables - Springer Monographs in Mathematics (Paperback Book) [Softcover reprint of the original 1st ed. 2017 edition] (2018)](https://imusic.b-cdn.net/images/item/original/033/9783319875033.jpg?steven-g-krantz-2018-harmonic-and-complex-analysis-in-several-variables-springer-monographs-in-mathematics-paperback-book&class=scaled&v=1615225243)
![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)
![Cover for Steven G. Krantz · Geometric Analysis of the Bergman Kernel and Metric - Graduate Texts in Mathematics (Paperback Book) [Softcover reprint of the original 1st ed. 2013 edition] (2016)](https://imusic.b-cdn.net/images/item/original/293/9781493944293.jpg?steven-g-krantz-2016-geometric-analysis-of-the-bergman-kernel-and-metric-graduate-texts-in-mathematics-paperback-book&class=scaled&v=1589510298)
![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)
