Preface; Chapter 1 Complex Analysis; 1.1. Complex Algebra; 1.2. Functions of a Complex Variable; 1.3. Cauchy's Theorem and Its Applications; 1.4. Isolated Singularities and Residues; Exercises; Chapter 2 Elements of Linear Algebra; 2.1. Linear Spaces; 2.2. Cauchy Sequences and Complete Spaces; 2.3. Linear Operators on Euclidean Spaces; Chapter 3 Ordinary Differential Equations; 3.1. Setting the Stage; 3.2. Initial Value Problem; 3.3. Boundary Value Problem; 3.4. Fourier Analysis; Chapter 4 Partial Differential Equations; 4.1. Taxonomy; 4.2. Wave Equation; 4.3. Diffusion Equation
4.4. Laplace Equation4.5. Applications to Quantum Mechanics; Appendix A Conformal Transformations; Appendix B Gamma Function; Appendix C Gibbs Phenomenon; Appendix D Laplace Transform; Appendix E Ausstrahlungsbedingung; Answers and Comments on the Exercises; Chapter 1; Chapter 2; Chapter 3; Chapter 4; References
Bibliography
Includes bibliographical references (pages [209]-210) and index
Notes
Description based on print version record and CIP data provided by publisher
