System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
This book provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. All modern fields in Theoretical and Mathematical Physics are covered. It is the only book which covers all the new techniques and methods in theoretical and mathematical physics.
Third edition updated with: Exercises in: Hilbert space theory, Lie groups, Matrix-valued differential forms, Bose-Fermi operators and string theory. All other chapters have been updated with new problems and materials. Most chapters contain an introduction to the subject discussed in the text.
Contents:- Volume I:
- Complex Numbers and Functions
- Sums and Products
- Discrete Fourier Transform
- Algebraic and Transcendental Equations
- Vector and Matrix Calculations
- Matrices and Groups
- Matrices and Eigenvalue Problems
- Functions of Matrices
- Transformations
- L'Hospital's Rule
- Lagrange Multiplier Method
- Linear Difference Equations
- Linear Differential Equations
- Integration
- Continuous Fourier Transform
- Complex Analysis
- Special Functions
- Inequalities
- Functional Analysis
- Combinatorics
- Convex Sets and Functions
- Optimization
- Volume II:
- Groups
- Kronecker and Tensor Products
- Nambu Mechanics
- Gateaux and Fréchet Derivatives
- Stability and Bifurcations
- Nonlinear Ordinary Difference Equations
- Nonlinear Ordinary Differential Equations
- Lax Representations in Classical Mechanics
- Hilbert Spaces
- Generalized Functions
- Linear Partial Differential Equations
- Nonlinear Partial Differential Equations
- Symmetries and Group Theoretical Reductions
- Soliton Equations
- Lax Pairs for Partial Differential Equations
- Bäcklund Transformations
- Hirota Technique
- Painlevé Test
- Lie Algebras
- Lie Groups
- Differential Forms
- Matrix-Valued Differential Forms
- Lie Derivative
- Metric Tensor Fields
- Killing Vector Fields
- Inequalities
- Ising Model and Heisenberg Model
- Number Theory
- Combinatorial Problems
- Fermi Operators
- Bose Operators
- Bose-Fermi Systems
- Lax Representations and Bethe Ansatz
- Gauge Transformations
- Chaos, Fractals and Complexity
