Item description for Differential Geometry for Physicists (Advanced Series on Theoretical Physical Science, Vol 6) by Bo-Yuan Hou...
This book provides an introduction to prerequisite topological and algebraic knowledge. The first seven chapters, focusing on local analysis, can be used as a fundamental textbook for graduate students of theoretical physics. The later chapters discuss geometry in fibre bundles, and deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry. The text aims to provide coverage of current research in theoretical physics.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 1.5" Width: 6.5" Height: 9" Weight: 1.95 lbs.
Publisher World Scientific Publishing Company
ISBN 9810231059 ISBN13 9789810231057
Reviews - What do customers think about Differential Geometry for Physicists (Advanced Series on Theoretical Physical Science, Vol 6)?
not all that bad May 14, 2002
as a whole, the book isn't all that bad; however the authors' writing (syntax) is, at times, profusely irritating. the mathematician, of course, would desire more, by way of rigour and (more) detailed proofs. it packs in a lot of interesting mathematics, but does justice to none of the topics presented herein.
the book's main aim is to be comprehensive, hinting at the flavour of almost all of the current trends in mathematics motivated by physics.
i could suggest other books similar in content to the one here: husemoller on fibre bundles, bott and tu on de Rham cohomology via differential forms, griffiths and harris on the Chern-Weil theory of characteristic classes, gilkey on the index theorem (be aware that 'the' index theorem appears in many different guises in the literature); connes on noncommutative geometry (although the book by madore would suit readers of the present volume better, as it appears to be closer in spirit i.e. with a view toward physical applications).
in other words, there are many other good (if not better) books out there.
very good book Feb 26, 2000
written for physicists but worth reading for mathematicians. the book is a good intuition builder on the subject.