Problems and Solutions in Theoretical and Mathematical Physics: Volume I: Introductory Level

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.

• 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