Introduction:
The IIT JAM (Joint Admission Test for M.Sc.) is a national-level entrance exam conducted for admission to various M.Sc. programs offered by the Indian Institutes of Technology (IITs). The physics syllabus for the IIT JAM exam covers a wide range of topics, including numerical problem-solving and mathematical concepts. There are several books available that focus on these aspects of the syllabus and provide comprehensive coverage of the topics.

Books for Numerical Problem-Solving and Mathematical Concepts in IIT JAM Physics:

1. "Mathematical Methods for Physics and Engineering" by K. F. Riley, M. P. Hobson, and S. J. Bence: This book provides a comprehensive introduction to the mathematical techniques used in physics and engineering. It covers topics such as vector calculus, complex analysis, differential equations, and linear algebra. The book also includes numerous solved examples and practice problems to enhance problem-solving skills.

2. "Mathematical Physics" by H.K. Dass: This book covers a wide range of mathematical concepts and techniques relevant to physics. It includes topics such as calculus, differential equations, complex analysis, linear algebra, and Fourier series. The book provides a good balance between theory and problem-solving, with numerous solved examples and practice questions.

3. "Mathematical Methods in the Physical Sciences" by Mary L. Boas: This book is widely used for learning mathematical methods in various physical sciences, including physics. It covers topics such as vector analysis, complex analysis, Fourier analysis, partial differential equations, and numerical methods. The book includes numerous worked-out examples and exercises to reinforce understanding and problem-solving skills.

4. "Advanced Engineering Mathematics" by Erwin Kreyszig: This book covers a wide range of mathematical topics relevant to engineering and physics. It includes topics such as linear algebra, differential equations, complex analysis, and Fourier analysis. The book provides a rigorous treatment of the topics with a focus on problem-solving. It includes numerous solved examples and practice problems to enhance problem-solving skills.

5. "Mathematical Methods for Physicists" by George B. Arfken and Hans J. Weber: This book provides a comprehensive introduction to mathematical methods used in physics. It covers topics such as vector calculus, complex analysis, differential equations, and Fourier analysis. The book includes numerous examples and problems with detailed solutions to enhance problem-solving skills.

Conclusion:
These books provide comprehensive coverage of the mathematical concepts and numerical problem-solving techniques required for the IIT JAM Physics syllabus. They include a wide range of topics and provide numerous examples and practice problems to enhance problem-solving skills. Students can choose the book that suits their learning style and preferences. It is recommended to practice solving a variety of problems from these books to gain a deeper understanding of the concepts and improve problem-solving abilities.