Mathematical Methods in Physics and Engineering
Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter.
For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Calculus of Variations
Boundaryvalue Problems Separation of Variables
Boundaryvalue Problems Greens Functions
Analytic Function Theory
Integral Transform Methods
Other editions - View all
admissihle functions ahove ahsolutely analytic function arhitrary assume calculus of variations Cauchy Cauchy sequence completely continuous complex numhers conformal mapping consider constant continuous function contour converges uniformly coordinates corresponding curve defined displacement eigenfunctions eigenvalue eigenvectors equilihrium example Exercises exists feasihle solution finite numher follows Fourier transform Green's function hasic hasis hecause hecomes Hence hetween Hilhert space homogeneous hoth houndary conditions houndary-value prohlem hounded implies inequality integrahle integral equation interval inverse Laplace transform linear comhination linearly independent mapping Mathematics matrix memhrane minimize neighhorhood nonhomogeneous ohtain orthogonal orthonormal partial derivatives piccewise continuous possihle prohlem proof properties Prove real numhers region representation satisfies scalar product sequence serics solve Sturm-Liouville prohlem suhject suhscript suhspace theorem theory uniformly convergent unique value prohlem variational prohlem vector space vihrations zero