Partial differential equations of first order and their applications to physics (Q2880037)

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scientific article; zbMATH DE number 6022910
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Partial differential equations of first order and their applications to physics
scientific article; zbMATH DE number 6022910

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    11 April 2012
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    Hamilton-Jacobi equation
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    quantum mechanics
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    heat propagation
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    renorinalization group equations
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    high energy physics
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    Einstein's equations
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    Partial differential equations of first order and their applications to physics (English)
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    The book consists of 6 chapters and an index. It is the second edition of the book reviewed in Zbl 1056.35001.NEWLINENEWLINEThe second edition is a slightly expanded version of the first one: some new material and exercises for students are added. The book is a collection of notes for students on a variety of questions, a discussion of which requires the usage of partial differential equations of first order (PDEFO). The book contains solutions to some problems of physics and mathematics that are formulated in terms of PDEFO. There are no formulations or proofs of theorems, and no systematic theory of PDEFO is presented.NEWLINENEWLINEThere is a book by \textit{H. K. Rhee}, \textit{R. Aris} and \textit{N. R. Amundson} [First-order partial differential equations. Volume I: Theory and application of single equations. Englewood Cliffs, NJ: Prentice-Hall, Inc. (1986; Zbl 0699.35001); Volume II. Theory and application of hyperbolic systems of quasilinear equations. Englewood Cliffs, NJ: Prentice Hall (1989; Zbl 0699.35002)] (the two volumes together contain more than a thousand pages), which contains theoretical material and discusses shock waves theory.NEWLINENEWLINEThe book may be useful for undergraduate students.
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