Tag: groups

January 5, 2024

Groups A Path to Geometry

By  E-Books  0 Comments

Free Download R. P. Burn, "Groups: A Path to Geometry"
English | ISBN: 0521347939 | | 256 pages | PDF | 10 MB
Following the same successful approach as Dr. Burn’s previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.

(more…)

January 1, 2024

Lie Groups

By  E-Books  0 Comments

Free Download Daniel Bump, "Lie Groups "
English | ISBN: 1493938428 | 2013 | 564 pages | EPUB | 8 MB
This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range of material to give the student the bigger picture. The book is organized to allow different paths through the material depending on one’s interests. This second edition has substantial new material, including improved discussions of underlying principles, streamlining of some proofs, and many results and topics that were not in the first edition.

(more…)

January 1, 2024

Applications of Lie Groups to Differential Equations (2024)

By  E-Books  0 Comments

Free Download Applications of Lie Groups to Differential Equations by Peter J. Olver
English | PDF | 1986 | 524 Pages | ISBN : 0387962506 | 105.9 MB
This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations.

(more…)

December 29, 2023

An Invitation to Coarse Groups

By  E-Books  0 Comments

Free Download An Invitation to Coarse Groups
English | 2023 | ISBN: 3031427599 | 249 Pages | PDF EPUB (True) | 20 MB
The first aim is to provide a standard entry-level introduction to coarse groups. Extra care has been taken to give a detailed, self-contained and accessible account of the theory. The second aim is to quickly bring the reader to the forefront of research. This is easily accomplished, as the subject is still young, and even basic questions remain unanswered.

(more…)