Mathematical tools for physicists

Mathematical Tools for Physisists is a unique collection of 18 review articles, each one written by a renowned expert of its field. Their professional style will be beneficial for advanced students as well as for the scientist at work. The first may find a comprehensive introduction while the latter use it as a quick reference. The contributions range from fundamental methods right up to the latest applications, including: Algebraic/ analytic / geometric methods Symmetries and conservation laws Mathematical modelling Quantum computation Great attention was paid to ensuring fast access to the information, and each carefully reviewed article features: an abstract a detailed table of contents continuous cross-referencing references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as highly specialized. In addition, a comprehensive index provides easy access to the enormous number of key words beyond the headlines. Algebraic Methods / A.j. Coleman. -- Analytic Methods / Charlie Harper. -- Fourier And Other Mathematical Transforms / Ronald N. Bracewell. -- Fractal Geometry / Paul Meakin. -- Geometrical Methods / V. Alan Kostelecký. -- Green's Functions / Kazuo Ohtaka. -- Group Theory / M. Hamermesh. -- Mathematical Modeling / Kenneth Hartt. -- Monte-carlo Methods / K. Binder. -- Numerical Methods / Christina C. Christara And Kenneth R. Jackson. -- Perturbation Methods / James Murdock. -- Quantum Computation / Samuel L. Braunstein. -- Quantum Logic / David J. Foulis, Richard J. Greechie, Maria Louisa Dalla Chiara, And Roberto Giuntini. -- Special Functions / Charlie Harper. -- Stochastic Processes / Melvin Lax. -- Symmetries And Conservation Laws / Gino Segrè. -- Topology / S.p. Smith. -- Variational Methods / G.w.f. Drake. Edited By George L. Trigg. This Edition Is Based On Review Articles Originally Written For The Encyclopedia Of Applied Physics / Edited By George L. Trigg ; Associate Editors, Eduardo S. Vera, Walter Greulich. 25 Volumes. 1991-2000--t.p. Verso. Includes Bibliographical References And Index. Cover Page......Page 1 Title Page......Page 3 ISBN 3527405488......Page 4 Contents (with page links)......Page 5 Preface......Page 7 List of Contributors......Page 9 Algebraic Methods......Page 11 Analytic Methods......Page 43 Fourier and Other Mathematical Transforms......Page 93 Fractal Geometry......Page 119 Geometrical Methods......Page 137 Green’s Functions......Page 169 Group Theory......Page 199 Mathematical Modeling......Page 223 Monte-Carlo Methods......Page 259 Numerical Methods......Page 291 Perturbation Methods......Page 395 Quantum Computation......Page 427 Quantum Logic......Page 449 Special Functions......Page 485 Stochastic Processes......Page 523 Symmetries and Conservation Laws......Page 575 Topology......Page 597 Variational Methods......Page 629 A......Page 667 C......Page 668 D......Page 670 E......Page 671 F......Page 672 G......Page 673 I......Page 675 L......Page 676 M......Page 677 N......Page 678 O......Page 679 P......Page 680 Q......Page 681 R......Page 682 S......Page 683 U......Page 685 X,Y,Z......Page 686 Mathematical Tools for Physicists is a unique collection of 18 carefully reviewed articles, each one written by a renowned expert working in the relevant field. The result is beneficial to both advanced students as well as scientists at work; the former will appreciate it as a comprehensive introduction, while the latter will use it as a ready reference. The contributions range from fundamental methods right up to the latest applications, - Algebraic/ analytic / geometric methods - Symmetries and conservation laws - Mathematical modeling - Quantum computation The emphasis throughout is ensuring quick access to the information sought, and each article - an abstract - a detailed table of contents - continuous cross-referencing - references to the most relevant publications in the field, and - suggestions for further reading, both introductory as well as highly specialized. In addition, a comprehensive index provides easy access to the vast number of key words extending beyond the range of the headlines. Cover Page 1 Title Page 3 ISBN 3527405488 4 Contents (with page links) 5 Preface 7 List of Contributors 9 Algebraic Methods 11 Analytic Methods 43 Fourier and Other Mathematical Transforms 93 Fractal Geometry 119 Geometrical Methods 137 Green’s Functions 169 Group Theory 199 Mathematical Modeling 223 Monte-Carlo Methods 259 Numerical Methods 291 Perturbation Methods 395 Quantum Computation 427 Quantum Logic 449 Special Functions 485 Stochastic Processes 523 Symmetries and Conservation Laws 575 Topology 597 Variational Methods 629 Index (with page links) 667 A 667 B 668 C 668 D 670 E 671 F 672 G 673 H 675 I 675 J 676 K 676 L 676 M 677 N 678 O 679 P 680 Q 681 R 682 S 683 T 685 U 685 V 686 W 686 X,Y,Z 686