Foundations of Mathematics and Physics One Century After Hilbert
New Perspectives
Editors: Kouneiher, Joseph (Ed.)
Free Preview- With contributions from Michael Atiyah, Roger Penrose, Edward Witten, Misha Gromov, Alain Connes, Lee Smolin, John Stachel and many others
- Accessible to a broad audience with a background in mathematics or physics
- Contains historical chapters such as the one on the relationship between Hilbert and Einstein
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- About this book
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This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.
- Reviews
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“This wonderful book is full of such insights, reflections, analyses, appraisals, and even anecdotes, and should be a smash hit: we should all seek to know more about these foundations, and we have a wonderful set of essays here, based off Hilbert’s original wonderful lectures, and a lot more.” (Michael Berg, MAA Reviews, July, 2018)
- Table of contents (14 chapters)
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Where We Stand Today
Pages 1-73
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Mie’s Electromagnetic Theory of Matter and the Background to Hilbert’s Unified Foundations of Physics
Pages 75-96
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Hilbert and Einstein
Pages 97-106
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Grothendieck’s Unifying Vision of Geometry
Pages 107-127
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Understanding the 6-Dimensional Sphere
Pages 129-133
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Table of contents (14 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Foundations of Mathematics and Physics One Century After Hilbert
- Book Subtitle
- New Perspectives
- Editors
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- Joseph Kouneiher
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG, part of Springer Nature
- eBook ISBN
- 978-3-319-64813-2
- DOI
- 10.1007/978-3-319-64813-2
- Hardcover ISBN
- 978-3-319-64812-5
- Softcover ISBN
- 978-3-030-09728-8
- Edition Number
- 1
- Number of Pages
- XXI, 441
- Topics
