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 Introduces and evaluates numerous physical and engineering concepts in a rigorous mathematical framework
 Provides extremely detailed mathematical derivations and solutions with extensive proofs and weighting for application potential
 Explores an array of detailed examples from physics that give direct application to rigorous mathematics
 Offers instructors useful resources for teaching, including an illustrated instructor's manual, PowerPoint presentations in each chapter and a solutions manual

About the Book
Mathematical 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 physicsleaning 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 undergraduatefacing textbooks. The depth of some of these topics, such as the Diracdelta distribution, is not matched elsewhere.
New features in this edition include: novel and illustrative examples from physics including the 1dimensional quantum mechanical oscillator, the hydrogen atom and the rigid rotor model; chapterlength discussion of relevant functions, including the Hermite polynomials, Legendre polynomials, Laguerre polynomials and Bessel functions; and allnew focus on complex examples only solvable by multiple methods.
Readership
UG/Grad math students taking mathematical physics, engineering math, etc
Quotes "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
Content
1. Preliminaries 2. Vector Calculus 3. Green’s Function 4. Fourier Series 5. Three Important Equations 6. SturmLiouville 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 Functions




