Mathematical methods in dynamical systems
Methods of Statistical Physics
This graduate-level textbook on thermal physics covers classical thermodynamics, statistical mechanics and its applications. It describes theoretical methods to calculate thermodynamic properties, such as the equation of state, specific heat, Helmholtz free energy, magnetic susceptibility and phase transitions of macroscopic systems. In addition to the more standard mater...
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Modern Quantum Chemistry
Preface to Revised edition Preface1. Mathematical Review 1.1 Linear Algebra 1.1.1 Three-dimensional vector algebra 1.1.2 Matrices 1.1.3 Determinants 1.1.4 N-Dimensional Complex Vector spaces 1.1.5 Change of Basis 1.1.6 The Eigenvalue Problem 1.1.7 Functions of Matrices 1.2 Orthogonal functions, Eigenfunctions, and Operators 1.3 The Variation Metho...
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