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020 _a9783031603938
040 _aICTS-TIFR
050 _aQC20 .D48
100 _aSanjeev Dhurandhar
245 _aUnderstanding mathematical concepts in physics
_b: insights from geometrical and numerical approaches
260 _aSwitzerland:
_bSpringer Nature,
_c[c2024]
300 _a351 p.
490 _a Lecture Notes in Physics
_vVol. 1030
505 _aChapter 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
520 _aModern 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
650 _aMathematical physics
856 _uhttps://www.google.co.in/books/edition/Understanding_Mathematical_Concepts_in_P/fnMUEQAAQBAJ?hl=en&gbpv=1
_yGoogle books partial view
942 _2lcc
_cBK
999 _c35474
_d35474