Mathematics for Theoretical Physics
by Jean Claude Dutailly
Publisher: arXiv 2012
Number of pages: 767
Description:
This is a comprehensive and precise coverage of the mathematical concepts and tools used in present theoretical physics: differential geometry, Lie groups, fiber bundles, Clifford algebra, differential operators, normed algebras, connections, etc.
Download or read it online for free here:
Download link
(5MB, PDF)
Download mirrors:
Mirror 1
Similar books
![Book cover: Random Matrices](images/5180.jpg)
by B. Eynard - arXiv.org
This is an introductory course about random matrices. These notes will give the reader a smell of that fascinating tool for physicists and mathematicians that are Random Matrices, and they can give the envy to learn and search more.
(11250 views)
![Book cover: Solitons](images/7453.jpg)
by David Tong - University of Cambridge
These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton.
(11376 views)
![Book cover: Floer Homology, Gauge Theory, and Low Dimensional Topology](images/5220.jpg)
by David Ellwood, at al. - American Mathematical Society
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
(13654 views)
![Book cover: Clifford Algebra, Geometric Algebra, and Applications](images/4130.jpg)
by Douglas Lundholm, Lars Svensson - arXiv
These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.
(15582 views)