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OverviewMathematical Physics with Partial Differential Equations, Second Edition, is designed for upper division undergraduate and beginning graduate students taking mathematical physics taught out by math departments. The new edition is based on the success of the first, with a continuing focus on clear presentation, detailed examples, mathematical rigor and a careful selection of topics. It presents the familiar classical topics and methods of mathematical physics with more extensive coverage of the three most important partial differential equations in the field of mathematical physics—the heat equation, the wave equation and Laplace’s equation. The book presents the most common techniques of solving these equations, and their derivations are developed in detail for a deeper understanding of mathematical applications. Unlike many physics-leaning mathematical physics books on the market, this work is heavily rooted in math, making the book more appealing for students wanting to progress in mathematical physics, with particularly deep coverage of Green’s functions, the Fourier transform, and the Laplace transform. A salient characteristic is the focus on fewer topics but at a far more rigorous level of detail than comparable undergraduate-facing textbooks. The depth of some of these topics, such as the Dirac-delta distribution, is not matched elsewhere. New features in this edition include: novel and illustrative examples from physics including the 1-dimensional quantum mechanical oscillator, the hydrogen atom and the rigid rotor model; chapter-length discussion of relevant functions, including the Hermite polynomials, Legendre polynomials, Laguerre polynomials and Bessel functions; and all-new focus on complex examples only solvable by multiple methods. Full Product DetailsAuthor: James Kirkwood (Professor of Mathematical Sciences, Sweet Briar College, Sweet Briar, VA, USA)Publisher: Elsevier Science Publishing Co Inc Imprint: Academic Press Inc Edition: 2nd edition Weight: 0.450kg ISBN: 9780128147597ISBN 10: 0128147598 Pages: 492 Publication Date: 28 February 2018 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contents1. Preliminaries 2. Vector Calculus 3. Green’s Function 4. Fourier Series 5. Three Important Equations 6. Sturm-Liouville Theory 7. Solving PDE’s in Cartesian Coordinates by Separation of Variables 8. Generating Functions 9. Solving PDE’s in Cylindrical Coordinates by Separation of Variables 10. Solving PDE’s in spherical coordinates w/Sep. of Variables 11. The Fourier Transform 12. The Laplace Transform 13. Solving PDE’s using Green’s FunctionsReviews"""This is an interesting book with, perhaps, a somewhat inaccurate title. I do not really see this book as any kind of text on physics, but rather as an introduction to partial differential equations or, perhaps, mathematical modeling. ...The author’s writing style is reasonably clear and quite detailed, and he provides numerous examples throughout the book. ...People teaching a course that is more narrowly focused on the “big three PDEs of mathematical physics might, however, want to take a look at this text. In addition, the level of detail and rigor found in the book might also make it quite suitable as a reference."" --The Mathematical Gazette" This is an interesting book with, perhaps, a somewhat inaccurate title. I do not really see this book as any kind of text on physics, but rather as an introduction to partial differential equations or, perhaps, mathematical modeling. ...The author's writing style is reasonably clear and quite detailed, and he provides numerous examples throughout the book. ...People teaching a course that is more narrowly focused on the big three PDEs of mathematical physics might, however, want to take a look at this text. In addition, the level of detail and rigor found in the book might also make it quite suitable as a reference. --The Mathematical Gazette Author InformationBringing over 25 years of teaching expertise, James Kirkwood is the author of ten mathematics books published in a range of areas from calculus to real analysis and mathematical biology. He has been awarded 4 awards for continuing research in the area of mathematical physics, including the 2016 ‘Outstanding Faculty Award of the State Council for Higher Education in Virginia’ – the highest award the state bestows. Tab Content 6Author Website:Countries AvailableAll regions |