It discusses vector fields in about three pages, introduces the gradient, shows two basic examples and poses an exercise. Level surfaces and normals to a surface get similar treatment. Divergence and curl of a vector field are treated next and in the same way. Although this would be a natural place at least to allude to applications in physics, the author adds very little by way of motivation. But the content of the current book is forbiddingly dull. It is like learning carpentry by studying individual tools one-by-one but never using them together to build something.

Nowhere does a student get a sense of the breadth of the whole subject or the depth of any single part. The author and his colleagues have clearly given their approach a lot of thought, and the book is carefully and logically assembled.

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Several of the end-of-chapter exercises are quite good. Bill Satzer bsatzer gmail.

His training is in dynamical systems and particularly celestial mechanics; his current interests are broadly in applied mathematics and the teaching of mathematics. Skip to main content. Search form Search. Login Join Give Shops.

## An Introduction to Mathematical Physics

Halmos - Lester R. Ford Awards Merten M. Derek Raine.

Publication Date:. This book provides an introduction to Lie theory for first-year graduate students and professional physicists who may not have come across the theory in their studies. It is an overview of the theory of finite groups, a brief description of a manifold, and an informal development of the theory of one-parameter Lie groups.

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## Introduction to Mathematical Physics: Physics Today: Vol 30, No 4

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