书目名称 | Linear Algebra and Group Theory for Physicists and Engineers | 编辑 | Yair Shapira | 视频video | | 概述 | Introduces linear algebra and group theory together for a more intuitive understanding of applied mathematics.Utilizes an interdisciplinary approach to appeal to a broad scientific audience.Provides a | 图书封面 |  | 描述 | This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with applications to mechanics and statistics, followed by group theory with applications to projective geometry. Then, high-order finite elements are presented to design a regular mesh and assemble the stiffness and mass matrices in advanced applications in quantum chemistry and general relativity..This text is ideal for undergraduates majoring in engineering, physics, chemistry, computer science, or applied mathematics. It is mostly self-contained—readers should only be familiar with elementary calculus. There are numerous exercises, with hints or full solutions provided. A series of roadmaps are also provided to help instructors choose the optimal teaching approach for their discipline..The second edition has been revised and updated throughout and includes new material on the Jordan form, the | 出版日期 | Textbook 2023Latest edition | 关键词 | Group theory; Linear algebra; High dimensional vectors; Fourier matrices; Markov chain; Quantum mechanics | 版次 | 2 | doi | https://doi.org/10.1007/978-3-031-22422-5 | isbn_softcover | 978-3-031-22424-9 | isbn_ebook | 978-3-031-22422-5 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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