Mathematics for Physics: A Guided Tour for Graduate Students
by Michael Stone, Paul Goldbart
Publisher: Cambridge University Press 2009
ISBN/ASIN: 0521854032
Number of pages: 919
Description:
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics - differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables.
Download or read it online for free here:
Download link
(5.3MB, PDF)
Similar books
Differential Equations of Mathematical Physics
by Max Lein - arXiv
These lecture notes give an overview of how to view and solve differential equations that are common in physics. They cover Hamilton's equations, variations of the Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.
(9274 views)
by Max Lein - arXiv
These lecture notes give an overview of how to view and solve differential equations that are common in physics. They cover Hamilton's equations, variations of the Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.
(9274 views)
Physics, Topology, Logic and Computation: A Rosetta Stone
by John C. Baez, Mike Stay - arXiv
There is extensive network of analogies between physics, topology, logic and computation. In this paper we make these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory.
(10990 views)
by John C. Baez, Mike Stay - arXiv
There is extensive network of analogies between physics, topology, logic and computation. In this paper we make these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory.
(10990 views)
Introduction to Quantum Integrability
by A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos - arXiv
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.
(9960 views)
by A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos - arXiv
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.
(9960 views)
Graph and Network Theory in Physics: A Short Introduction
by Ernesto Estrada - arXiv
Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...
(9461 views)
by Ernesto Estrada - arXiv
Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...
(9461 views)