书目名称 | Mathematical Methods in Physics |
副标题 | Distributions, Hilbe |
编辑 | Philippe Blanchard,Erwin Brüning |
视频video | |
概述 | Covers the essential mathematics needed for all areas of theoretical physics.Includes numerous detailed proofs, examples, and over 200 exercises.Contains five new chapters on such topics as distributi |
丛书名称 | Progress in Mathematical Physics |
图书封面 |  |
描述 | .The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods..The text is divided into three parts:.- Part I: A brief introduction to (Schwartz) distribution theory. Elements from the theories of ultra distributions and (Fourier) hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties and methods for distributions are developed with applications to constant coefficient ODEs and PDEs. The relation between distributions and holomorphic f |
出版日期 | Textbook 2015Latest edition |
关键词 | Distribution theory; Hilbert space operators; Linear Operators; Tensor products; Variational methods |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-319-14045-2 |
isbn_softcover | 978-3-319-37430-7 |
isbn_ebook | 978-3-319-14045-2Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
issn_series | 1544-9998 |
copyright | Springer International Publishing Switzerland 2015 |