Mathematical Physics: A Modern Introduction to Its Foundations by Sadri Hassani

Mathematical Physics: A Modern Introduction to Its Foundations

bySadri Hassani

Kobo ebook | July 27, 2013

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The goal of this book is to expose the reader to the indispensable role that mathematics 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 fibre bundles and their applications to differential geometry and gauge theories.

This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour 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.

Title:Mathematical Physics: A Modern Introduction to Its FoundationsFormat:Kobo ebookPublished:July 27, 2013Publisher:Springer International PublishingLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319011952

ISBN - 13:9783319011950

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