Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations
by K. Yosida
Publisher: Tata Institute of Fundamental Research 1957
Number of pages: 160
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and with some of their applications to the initial value problem (Cauchy's problem) for differential equations, especially for the diffusion equation (heat equation) and the wave equation.
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by Michael Ruzhansky, Ville Turunen - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
by Willard Miller - Academic Press
A beginning graduate level book on applied group theory. Only those aspects of group theory are treated which are useful in the physical sciences, but the mathematical apparatus underlying the applications is presented with a high degree of rigor.
by G. A. Miller, H. F. Blichfeldt, L. E. Dickson - J. Wiley
The book presents in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time preserves the advantage which arises when each branch of an extensive subject is written by a specialist in that branch.
by Harold Hilton - Oxford Clarendon Press
This book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra. I have tried to lighten for him the initial difficulties.