Linear Algebra and Group Theory for Physicists and Engineers (Paperback)

Yair Shapira

ISBN 10: 3031224248 / ISBN 13: 9783031224249

Published by Birkhauser Verlag AG, Basel, 2024

About this Item

Paperback. 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-containedreaders 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 Hermitian matrix and its eigenbasis, and applications in numerical relativity and electromagnetics. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783031224249

Bibliographic Details

• Title: Linear Algebra and Group Theory for Physicists and Engineers (Paperback)
• Publisher: Birkhauser Verlag AG, Basel
• Publication Date: 2024
• Language: English
• ISBN 10: 3031224248
• ISBN 13: 9783031224249
• Binding: Paperback
• Edition: 2nd Edition
• Condition: new

About this title

Synopsis

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 Hermitian matrix and its eigenbasis, and applications in numerical relativity and electromagnetics. 

About the Author

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