Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Mathematics of Classical and Quantum Physics
Nicholas P. Landsman. Mackenzie, K. [1987a] Lie Groupoids and ... Malliavin, P. [1997] Stochastic Analysis. Springer, Berlin. Malliavin, M.-P. and P. ... In: Hirsch, M.W., J.E. Marsden, and M. Shub (eds.) From Topology to Computation: ...
This book enables entry-level graduate students to tackle fresh problems in this rich field.
Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism.
This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics.
Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase.
Prior to this book, mathematicians could find these topics only in physics textbooks and in specialized literature. This book is written in a concise style with careful attention to precise mathematics formulation of methods and results.
Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory.
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques.