Overview

""Mirrors and Reflections"" presents a systematic and elementary introduction to the properties of finite groups generated by reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory of reflection groups. The exposition is directed at advanced undergraduates and first-year graduate students, and features a large number of exercises at various levels of difficulty.

Full Product Details

Author:   Alexandre V. Borovik ,  Anna Borovik
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2010 ed.
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.590kg
ISBN:  

9780387790657

ISBN 10:   0387790659
Pages:   172
Publication Date:   10 November 2009
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Reviews

From the reviews: In Mirrors and Reflections by Alexandre Borovik (Univ. of Manchester, UK) and Anna Borovik, readers get the whole stage ! . Mastering this book not only gives undergraduates a taste of the mathematics of special objects, but prepares the way to various more important abstract theories. Thoughtfully illustrated, compact, leisurely, and unique in its coverage, this work is the way to learn this critical material. Summing Up: Highly recommended. Academics students, all levels, and professionals. (D. V. Feldman, Choice, Vol. 48 (1), September, 2010) A different approach to the study of reflection groups: an intuitive geometric approach, suitable for undergraduate students. ! the book provides the reader with the necessary geometric background. ! The book ends with a very interesting appendix on the 'forgotten art of blackboard drawing', where the authors give advice on making usable mathematical drawings. ! the authors believe that pictures are indispensable tools which facilitate mathematical work. They also give hints and solutions to selected exercises. (Maria Chlouveraki, Mathematical Reviews, Issue 2011 b)

From the reviews: In Mirrors and Reflections by Alexandre Borovik (Univ. of Manchester, UK) and Anna Borovik, readers get the whole stage ... . Mastering this book not only gives undergraduates a taste of the mathematics of special objects, but prepares the way to various more important abstract theories. Thoughtfully illustrated, compact, leisurely, and unique in its coverage, this work is the way to learn this critical material. Summing Up: Highly recommended. Academics students, all levels, and professionals. (D. V. Feldman, Choice, Vol. 48 (1), September, 2010) A different approach to the study of reflection groups: an intuitive geometric approach, suitable for undergraduate students. ... the book provides the reader with the necessary geometric background. ... The book ends with a very interesting appendix on the `forgotten art of blackboard drawing', where the authors give advice on making usable mathematical drawings. ... the authors believe that pictures are indispensable tools which facilitate mathematical work. They also give hints and solutions to selected exercises. (Maria Chlouveraki, Mathematical Reviews, Issue 2011 b) This is a nice booklet! ... the authors present an almost purely geometric approach to the theory of reflection groups which can be followed even by undergraduates. ... The authors attach great value to geometric intuition ... which makes the theory easily accessible. A very recommendable booklet! (G. Kowol, Monatshefte fur Mathematik, Vol. 162 (2), February, 2011)

From the reviews: In Mirrors and Reflections by Alexandre Borovik (Univ. of Manchester, UK) and Anna Borovik, readers get the whole stage ! . Mastering this book not only gives undergraduates a taste of the mathematics of special objects, but prepares the way to various more important abstract theories. Thoughtfully illustrated, compact, leisurely, and unique in its coverage, this work is the way to learn this critical material. Summing Up: Highly recommended. Academics students, all levels, and professionals. (D. V. Feldman, Choice, Vol. 48 (1), September, 2010)

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions