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OverviewMathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three most important partial differential equations in the field – the heat equation, the wave equation, and Laplace’s equation. The most common techniques of solving such equations are developed in this book, including Green’s functions, the Fourier transform, and the Laplace transform, which all have applications in mathematics and physics far beyond solving the above equations. The book’s focus is on both the equations and their methods of solution. Ordinary differential equations and PDEs are solved including Bessel Functions, making the book useful as a graduate level textbook. The book’s rigor supports the vital sophistication for someone wanting to continue further in areas of mathematical physics. 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 Dimensions: Width: 15.20cm , Height: 2.80cm , Length: 22.90cm Weight: 0.700kg ISBN: 9780123869111ISBN 10: 0123869110 Pages: 432 Publication Date: 24 February 2012 Audience: College/higher education , Tertiary & Higher Education Replaced By: 9780128147597 Format: Hardback Publisher's Status: Out of Print Availability: Awaiting stock  Table of Contents1. Prelimininaries 2. Vector Calculus 3. Green’s Functions 4. Fourier Series 5. Three Important Equations 6. Sturm-Liouville Theory 7. Solving PDE’s in Cartesian Coordinates by Separation of Variables 8. Solving PDE’s in Cylindrical Coordinates by Separation of Variables 9. Solving PDE’s in Spherical Coordinates w/ Sep. of Variables 10. The Fourier Transform 11. The Laplace Transform 12. Solving PDE’s Using Green’s Functions Appendix BibliographyReviewsThe text presents some of the most important topics and methods of mathematical physics.The book's rigor is appropriate for readers wanting to continue their study of further areas of mathematical physics. --Zentralblatt MATH 2012-1235-35002 The text presents some of the most important topics and methods of mathematical physics...The book's rigor is appropriate for readers wanting to continue their study of further areas of mathematical physics. --Zentralblatt MATH 2012-1235-35002 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 |
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