Linear Algebra and Group Theory for Physicists and Engineers

Authors: Shapira, Yair

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  • Offers readers a deeper, more intuitive understanding of applied mathematics by introducing linear algebra and group theory together
  • Adopts an interdisciplinary approach, making it flexible enough to appeal to engineers, physicists, chemists, computer scientists, and more 
  • Provides an array of examples throughout, perfect for practicing what is taught
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  • ISBN 978-3-030-17856-7
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  • ISBN 978-3-030-17855-0
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この教本について

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.

著者について

Yair Shapira, PhD, Department of Computer Science, Technion, Israeli Institute of Technology

Table of contents (16 chapters)

Table of contents (16 chapters)
  • Vectors and Matrices

    Pages 3-49

    Shapira, Yair

  • Vector Product with Applications in Geometrical Mechanics

    Pages 51-88

    Shapira, Yair

  • Markov Chain in a Graph

    Pages 89-101

    Shapira, Yair

  • Special Relativity: Algebraic Point of View

    Pages 103-141

    Shapira, Yair

  • Group Representation and Isomorphism Theorems

    Pages 145-185

    Shapira, Yair

書籍の購入

イーブック n/a
  • ISBN 978-3-030-17856-7
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ハードカバー n/a
  • ISBN 978-3-030-17855-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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書誌情報

Bibliographic Information
Book Title
Linear Algebra and Group Theory for Physicists and Engineers
Authors
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-17856-7
DOI
10.1007/978-3-030-17856-7
ハードカバー ISBN
978-3-030-17855-0
Edition Number
1
Number of Pages
XXXI, 441
Number of Illustrations
92 b/w illustrations, 1 illustrations in colour
Topics