TY - BOOK AU - Sanjeev Dhurandhar TI - Understanding mathematical concepts in physics: : insights from geometrical and numerical approaches T2 - Lecture Notes in Physics SN - 9783031603938 AV - QC20 .D48 PY - 2024///] CY - Switzerland PB - Springer Nature KW - Mathematical physics N1 - Chapter 1. Topology Chapter 2. Hilbert Spaces Chapter 3. Fourier Analysis Chapter 4. Complex Analysis: Hands On Chapter 5. Understanding Differential Equations Chapter 6. Solving Differential Equations Chapter 7. Differential Geometry and Tensors Chapter 8. The Rotation Group, Lorentz Group and Lie Groups Chapter 9. Probability and Random Variables Chapter 10. Probability Distributions in Physics Chapter 11. The Statistical Detection of Signals in Noisy Data N2 - Modern mathematics has become an essential part of today’s physicist’s arsenal and this book covers several relevant such topics. The primary aim of this book is to present key mathematical concepts in an intuitive way with the help of geometrical and numerical methods - understanding is the key. Not all differential equations can be solved with standard techniques. Examples illustrate how geometrical insights and numerical methods are useful in understanding differential equations in general but are indispensable when extracting relevant information from equations that do not yield to standard methods. --- Summary provided by publisher UR - https://www.google.co.in/books/edition/Understanding_Mathematical_Concepts_in_P/fnMUEQAAQBAJ?hl=en&gbpv=1 ER -