A Physicist's Introduction to Algebraic Structures
Vector Spaces, Groups, Topological Spaces and More
Published on 23. May 2019
978-1-108-66139-3 (ISBN)
Description
An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra, measure space and Lebesgue integral. Important topics including finite and infinite dimensional vector spaces, finite groups and their representations, unitary groups and their representations and representations of the Lorentz group, homotopy and homology of topological spaces are covered extensively. Rich pedagogy includes various problems interspersed throughout the book for better understanding of concepts.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
5,96 MB
ISBN-13
978-1-108-66139-3 (9781108661393)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Palash B. Pal
A Physicist's Introduction to Algebraic Structures
Vector Spaces, Groups, Topological Spaces and More
Book
05/2019
Cambridge University Press
€98.60
Shipment within 15-20 days
Person
Content
Preface; Part I. General Introduction: 1. Rules of logic; 2. Sets and functions; 3. Algebraic structures; Part II. Vector Spaces: 4. Basics; 5. Operators on vector spaces; 6. Infinite dimensional vector spaces; Part III. Group Theory: 7. General properties of groups; 8. Finite groups; 9. Representation of finite groups; 10. Symmetries of regular geometrical objects; 11. Countably infinite groups; 12. General properties of Lie groups; 13. Rotations and translations; 14. Unitary groups and their representations; 15. Orthogonal groups and their representations; 16. Parameter space of Lie groups; 17. Representations of the Lorentz group; 18. Roots and weights; 19. Some other groups and algebras; Part IV. Topology: 20. Continuity of functions; 21. Topological spaces; 22. Homotopy theory; 23. Homology; Appendices; References; Index.
