Morris W. Hirsch , University of California, Berkeley
Stephen Smale , University of California, Berkeley
Robert Devaney , Boston University, Massachussetts, USA

Differential Equations, Dynamical Systems and Linear Algebra, 2nd Edition

ISBN 0-12-349703-5 E Hardback E 400 Pages
Academic Press (December 2003)


This is perhaps AP's most successful mathematics text ever published. Steve Smale is perhpas the best known mathematician in the world. The AMS recently published a three volume set of his collected works. He is a Field's Medalist and has many, many other accomplishments. This book is considered one of his seminal works. It came from work being done at UC-Berkeley in the early 1970s. Since it's original publication in 1974, it became the standard textbook for courses at this level (graduate). Morris Hirsch is also famous for his work. Bob Devaney, the new co-author, was a PhD student of Smale's at UC. He is now at BU and has written several books, including a best-selling book on Chaotic Dynamical Systems published by AW and a undergraduate textbook on DE and dynamical systems published by Brooks-Cole (ITP). Smale recommened Bob as the co-author for the revision.

The basic plan for the revision is to add a chapter on chaotic dynamical systems, to update all other chapters (the book's presentation is seriously dated) and to add many additional figures. Devaney will be expanding the plan soon but the simple plan above will go along way toward the success of the new edition.


Dominique Perrin / Jean Pin

Infinite Words
Automata, Semigroups, Logic and Game

ISBN 0-12-532111-2 E Hardback
Academic Press E(May 2003)


Infinite Words is an important theory in both Mathematics and Computer Sciences. Many new developments have been made in the field, encouraged by its application to problems in computer science. Infinite Words is the first manual devoted to this topic.

Infinite Words explores all aspects of the theory, including Automata, Semigroups, Topology, Games, Logic, Bi-infinite Words, Infinite Trees and Finite Words. The book also looks at the early pioneering work of Buchi, McNaughton and Schutzenberger.


Edited by Colin Campbell, Edmund Robertson, Geoff Smith

Groups St Andrews 2001 in Oxford
Volume I

Publication is planned for June 2003 | Paperback | 290 pages | ISBN: 0-521-53739-8

This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.

Contents

Introduction; 1. Permutability and subnormality in finite groups M. J. Alejandre, A. Ballester-Bolinches, R. Esteban-Romero and M. C. Pedraza-Aguilera; 2. (Pro)-finite and (topologically) locally finite groups with a CC-subgroup Z. Arad and W. Herfort; 3. Table algebras generated by elements of small degrees Z. Arad and M. Muzychuk; 4. Subgroups which are a union of a given number of conjugacy classes A. R. Ashraf and H. Sahraei; 5. Some results on finite factorized groups A. Ballester-Bolinches, J. Cossey, X. Guo and M. C. Pedraza-Aguilera; 6. On nilpotent-like Fitting formations A. Ballester-Bolinches, A. Martinez-Pastor, M. C. Pedraza-Aguilera and M. D. Perez-Ramos; 7. Locally finite groups with min-p for all primes p A. Ballester-Bolinches and T. Pedraza; 8. Quasi-permutation representations of 2-groups of class 2 with cyclic centre H. Behravesh; 9. Groups acting on bordered Klein surfaces with maximal symmetry E. Bujalance, F. J. Cirre and P. Turbek; 10. Breaking points in subgroup lattices G. Calugareanu and M. Deaconescu; 11. Group actions on graphs, maps and surfaces with maximum symmetry M. D. E. Conder; 12. On dual pronormal subgroups and Fitting classes A. D'Aniello and M. D. Perez-Ramos; 13. (p; q; r)-generations of the sporadic group O'N M. R. Darafsheh, A. R. Ashrafi and G. A. Moghani; 14. Computations with almost-crystallographic groups K. Dekimpe and B. Eick; 15. Random walks on groups: characters and geometry P. Diaconis; 16. On distances of 2-groups and 3-groups A. Drapal; 17. Zeta functions of groups: the quest for order versus the flight from ennui M. P. F. du Sautoy; 18. Some factorizations involving hypercentrally embedded subgroups in finite soluble groups L. M. Ezquerro and X. Soler-Escriva; 19. Elementary theory of groups B. Fine, A. M. Gaglione, A. G. Myasnikov, G. Rosenberger and D. Spellman; 20. Andrews-Curtis and Todd-Coxeter proof words G. Havas and C. Ramsay; 21. Short balanced presentations of perfect groups G. Havas and C. Ramsay; 22. Finite p-extensions of free pro-p groups W. Herfort and P. A. Zalesskii; 23. Elements and groups of finite length M. Herzog, P. Longobardi and M. Maj; 24. Logged rewriting and identities among relators A. Heyworth and C. D. Wensley; 25. A characterization of F4(q) where q is an odd prime power A. Iranmanesh and B Khosravi; 26. On associated groups of rings Y. B. Ishchuk.



Edited by Colin Campbell, Edmund Robertson, Geoff Smith

Groups St Andrews 2001 in Oxford
Volume II

Publication is planned for June 2003 | Paperback | 290 pages | ISBN: 0-521-53740-1

This second volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Peter Palfy (Eotvos Lorand, Budapest) and Michael Vaughan-Lee (Oxford). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in Group Theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.

Contents
Introduction; 27. Gracefulness, group sequencings and graph factorizations G. Kaplan, A. Lev and Y. Roditty; 28. Orbits in finite group actions T. M. Keller; 29. Groups with finitely generated integral homologies D. H. Kochloukova; 30. Invariants of discrete groups, Lie algebras and pro-p groups D. H. Kochloukova; 31. Groups with all non-subnormal subgroups of finite rank L. A. Kurdachenko and P. Soules; 32. On some infinite dimensional linear groups L. A. Kurdachenko and I. Y. Subbotin; 33. Groups and semisymmetric graphs S. Lipschutz and Ming-Yao Xu; 34. On the covers of finite groups M. S. Lucido; 35. Groupland O. Macedonska; 36. On maximal nilpotent pi-subgroups J Medina; Characters of p-groups and Sylow p-subgroups A. Moreto; 37. On the relation between group theory and loop theory M. Niemenmaa; 38. Groups and lattices P. P. Palfy; 39. Finite generalized tetrahedron groups with a cubic relator G. Rosenberger, M. Scheer and R. M. Thomas; 40. Character degrees of the Sylow p-subgroups of classical groups J. Sangroni; 42. Character correspondences and perfect isometries L. Sanus; 43. The characters of finite projective symplectic group PSp(4; q) M. A. Shahabi and H. Mohtadifar; 44. Exponent of finite groups with automorphisms P. Shumyatsky; 45. Classifying irreducible representations in characteristic zero A. Turull; 46. Lie methods in group theory M. R. Vaughan-Lee; 47. Chevalley groups of type G2 as automorphism groups of loops P. Vojtechovsky.


Anthony Levi

Applied Quantum Mechanics
For Engineers and Physicists

Publication is planned for June 2003 | Hardback | 544 pages 220 line diagrams | ISBN: 0-521-81765-X
Publication is planned for June 2003 | Paperback| 544 pages 220 line diagrams | ISBN: 0-521-52086-X

Written specifically for electronic and mechanical engineers and students, this book takes quantum mechanics out of the theory books and into the real world, using practical engineering examples throughout. Levifs unique, practical approach engages the reader and keeps them motivated with numerous illustrations, exercises and worked solutions. Starting with some scene setting revision material on classical mechanics and electromagnetics, Levi takes the reader from first principles and Schrodingerfs equation on to more advanced topics including scattering, eigenstates, the harmonic oscillator and time dependent perturbation theory. A CD-ROM is included which contains MATLAB source code to support the text. Quantum mechanics is usually thought of as being a difficult subject to master - this book sets out to prove it doesnft need to be.

Contents

Preface; 1. Introduction; 2. Towards quantum mechanics; 3. Using the Schrodinger wave equation; 4. Scattering in one dimension: the propagation matrix method; 5. Eigenstates and operators; 6. The harmonic oscillator; 7. Fermions and bosons; 8. Time dependent perturbation; 9. The semiconductor laser; 10. Time-independent perturbation; 11. Angular momentum and the hydrogen atom; 12. Additional concepts; Appendix A. Table of physical values; Appendix B. Coordinates and trigonometry; Appendix C. Expansions, integrals, and mathematical relations; Appendix D. Linear algebra; Appendix E. Vector calculus and Maxwellfs equations; Appendix F. The Greek alphabet; Index.