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A guided tour of mathematical methods for the physical sciences / Roel Snieder

Tác giả : Roel Snieder

Nhà xuất bản : Cambridge University Press

Năm xuất bản : 2001

Nơi xuất bản : Cambridge

Mô tả vật lý : xi, 429 p. : ill. ; 26 cm

ISBN : 0521787513 (pb)

Số phân loại : 530.15

Chủ đề : 1. Toán vật lý. 2. Mathematical physics. 3. Vật lý toán học.

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Tóm tắt :

Mathematical methods are essential tools for all physical scientists. This novel textbook provides a comprehensive guided tour of the mathematical knowledge and techniques needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are very well integrated. In this way the mathematical insights that the students acquire are driven by their physical insight. Topics that are covered include vector calculus (div, grad, curl, Laplacian), linear algebra, Fourier analysis, scale analysis, Green's functions, normal modes, tensor calculus and perturbation theory. This book can be used by undergraduates or by lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks. This guided tour of mathematical techniques is instructive, applied, and even fun.

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