Posted on 2013-08-04. By anonymous.
English | ISBN: 3319011944 | 2013 | 1025 pages | PDF | 11 MB
The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories.
This second edition is a substantial revision of the first one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition, namely the balance between rigor and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.
Einstein has famously said, "The most incomprehensible thing about nature is that it is comprehensible." What he had in mind was reiterated in another one of his famous quotes concerning the question of how " ... mathematics, being after all a product of human thought, is so admirably appropriate to the objects of reality." It is a question that comes to everyone's mind when encountering the highly abstract mathematics required for a deep understanding of modern physics. It is the experience that Eugene Wigner so profoundly described as "the unreasonable effectiveness of mathematics in the natural sciences."
Some praise for the previous edition:
PAGEOPH [Pure and Applied Geophysics]
Review by Daniel Wojcik, University of Maryland
"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. … I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."
- Ebooks list page : 22876
- 2017-12-08[PDF] Mathematical Physics: A Modern Introduction to Its Foundations,, 2nd edition
- 2013-12-28Mathematical Physics: A Modern Introduction to Its Foundations, 2nd edition (Repost)
- 2013-09-24Mathematical Physics: A Modern Introduction to Its Foundations (2nd edition)
- 2018-01-07[PDF] Mathematical Physics: A Modern Introduction to Its Foundations
- 2017-02-09[PDF] Mathematical Physics: A Modern Introduction to Its Foundations
- 2013-12-01Mathematical Physics A Modern Introduction to Its Foundations
- 2011-11-14Mathematical Physics: A Modern Introduction to Its Foundations (repost)
- 2009-08-23Mathematical Physics: A Modern Introduction to Its Foundations (reload)
- 2007-07-22Mathematical Physics: A Modern Introduction to Its Foundations
- 2007-07-06Mathematical Physics: A Modern Introduction to Its Foundations
- 2014-02-02A Modern Introduction to Differential Equations, (2nd Edition) (Repost)
- 2013-02-16Academic Press - A Modern Introduction to Differential Equations (2nd Edition) [PDF]
- 2012-12-14A Modern Introduction to Differential Equations (2nd Edition) [Repost]
- 2011-11-04Content Analysis: An Introduction to Its Methodology, 2nd Edition
- 2011-10-09Content Analysis: An Introduction to Its Methodology, 2nd Edition
- 2010-09-30Mathematical Physics: Applied Mathematics for Scientists and Engineers, 2nd edition
- 2012-01-15Fourier Series. A Modern Introduction: Volume 2 (2nd edition)
- 2011-08-16"Special Functions of Mathematical Physics and Chemistry (LMT)" by Ian N. Sneddon
- 2017-10-10[PDF] Special Functions of Mathematical Physics: A Unified Introduction with Applications
- Download links and password may be in the description section, read description carefully!
- Do a search to find mirrors if no download links or dead links.