| 书目名称 | Understanding Mathematical Concepts in Physics |
| 副标题 | Insights from Geomet |
| 编辑 | Sanjeev Dhurandhar |
| 视频video | http://file.papertrans.cn/942/941540/941540.mp4 |
| 概述 | Aims at helping the reader understand the mathematical concepts required in physics.Emphasises the understanding of differential equations and complex analysis through a numerical/geometrical approach |
| 丛书名称 | Lecture Notes in Physics |
| 图书封面 |  |
| 描述 | .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...Adopting a numerical approach to complex analysis it is shown that Cauchy’s theorem, the Cauchy integral formula, the residue theorem, etc. can be verified by performing hands-on computations with Python codes. Figures elucidate the concept of poles and essential singularities...Further the book covers topology, Hilbert spaces, Fourier transforms (discussing how fast Fourier transform works), modern differential geometry, Lie groups and Lie algebras, probability and useful probability distributions, and statistical detection of signals. Novel features include: (i) Topology is in |
| 出版日期 | Book 2024 |
| 关键词 | Mathematics for physicists; Differential equations; topology and differential geometry; representations |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-60394-5 |
| isbn_softcover | 978-3-031-60393-8 |
| isbn_ebook | 978-3-031-60394-5Series ISSN 0075-8450 Series E-ISSN 1616-6361 |
| issn_series | 0075-8450 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
|Archiver|手机版|小黑屋|
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