{"product_id":"boundary-and-eigenvalue-problems-in-mathematical-physics-dover-books-on-physics-9780486661322","title":"Boundary and Eigenvalue Problems in Mathematical Physics (Dover Books on Physics)","description":"\u003cp\u003eThis well-known text uses a limited number of basic concepts and techniques  Hamiltons principle  the theory of the first variation and Bernoullis separation method  to develop complete solutions to linear boundary value problems associated with second order partial differential equations such as the problems of the vibrating string  the vibrating membrane  and heat conduction. It is directed to advanced undergraduate and beginning graduate students in mathematics  applied mathematics  physics  and engineering who have completed a course in advanced calculus. In the first three chapters  Professor Sagan introduces Hamiltons principle and the theory of the first variation; he then discusses the representation of the vibrating string  the vibrating membrane and heat conduction (without convection) by partial differential equations. Bernoullis separation method and infinite series solutions of homogeneous boundary value problems are introduced as a means for solving these problems. The next three chapters take up Fourier series  self-adjoint boundary value problems  Legendre polynomials  and Bessel functions. The concluding three chapters address the characterization of eigenvalues by a variational principle; spherical harmonics  and the solution of the Schroedinger equation for the hydrogen atom; and the nonhomogeneous boundary value problem. Professor Sagan concludes most sections of this excellent text with selected problems (solutions provided for even-numbered problems) to reinforce the readers grasp of the theories and techniques presented.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45924595204149,"sku":"ByrdShop_0486661326","price":66.15,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780486661322.jpg?v=1787678321","url":"https:\/\/atxbooks.com\/products\/boundary-and-eigenvalue-problems-in-mathematical-physics-dover-books-on-physics-9780486661322","provider":"ATX Books","version":"1.0","type":"link"}