Seminaires et Congres, Number: 16
2009; 232 pp; softcover
ISBN-13: 978-2-85629-238-9
The International Congress on Analysis and Probability, held in Hammamet, Tunisia, in 2003, was organized under the aegis of the French Mathematical Society and the Tunisian Mathematical Society. The aim of this conference was to present recent developments in analysis, mainly in harmonic analysis and probability, stressing their interplay. The papers in this volume, originating from talks given at this conference, are related to stochastic analysis, harmonic analysis, and partial differential equations.
Graduate students and research mathematicians interested in analysis.
T. Deck -- Holomorphic functionals of complex processes
U. C. Ji and N. Obata -- Generalized white noise operator fields and quantum white noise derivatives
S. H. Djah, H. Gottschalk, and H. Ouerdiane -- Feynman graphs for non-Gaussian measures
G. Di Nunno -- On Orthogonal polynomials and the Malliavin derivative for Levy stochastic measures
G. Di Nunno and B. Oksendal -- The Donsker delta function, a representation formula for functionals of a Levy process and application to hedging in incomplete markets
U. Franz -- Boolean convolution of probability measures on the unit circle
J. Faraut -- Loi du demi-cercle de Wigner et polynomes de Laguerre
P. Kree -- Problemes lies aux controles de taille legendriens. I. Premiers resultats generaux et premieres interactions
S. B. Said and B. Orsted -- On contractions of hypergeometric functions associated with root systems
S. B. Said and B. Orsted -- On Fock spaces and sl(2)-triples for Dunkl
operators
S. Mustapha -- Principe SAK de Feerman et puissances d'operateurs pseudo-differentiels
N. Belhaj Rhouma, M. Bezzarga, and M. Mosbah -- On the solutions of noncooperative
system of elliptic equations in \mathbb{R}^d
Cloth Text, 638pgs.
ISBN-13: 978-1-429-22462-8
Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor to the course, incorporating the computer and offering an integrated approach to inference that includes the frequency approach and Bayesian inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout. Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities.
The new edition includes a number of features designed to make the material more accessible and level-appropriate to the students taking this course today.
2010; 300 pp; hardcover
ISBN-13: 978-81-85931-99-9
This book presents a collection of problems from an annual competition for college students organized by the Iranian Mathematical Society. The author has compiled problems from these competitions between 1973 to 2007 and provided solutions to most of them.
Students from Iran have done very well in international mathematics competitions and, to some extent, that is a reflection on the training they receive in special courses. Students of mathematics everywhere, whether preparing for competitions or for advanced studies, can sharpen their skills by solving the problems in this book. The book will be a valuable resource for teachers as well.
A publication of Hindustan Book Agency. Distributed on an exclusive basis by the AMS in North America. Online bookstore rights worldwide.
Part 1. Problems
Part 2. Solutions
Part 3. Problem Index
Index
ISBN: 978-3-527-40846-7
Paperback
438 pages
May 2010
A new, updated and enhanced edition of the classic work, which was welcomed for its general approach and self-sustaining organization of the chapters.
Written by a highly respected textbook writer and researcher, this book has a more general scope and adopts a more practical approach than other books. It includes applications of condensed matter physics, first developing traditional concepts, including Feynman graphs, before moving on to such key topics as functional integrals, statistical mechanics and Wilson's renormalization group. The author takes care to explain the connection between the latter and conventional perturbative renormalization. Due to the rapid advance and increase in importance of low dimensional systems, this second edition fills a gap in the market with its added discussions of low dimensional systems, including one-dimensional conductors.
All the chapters have been revised, while more clarifying explanations, problems, and solutions have been added.
1. Introducing Quantum Fields
2. Scalar Fields
3. Relativistic Fields
4. Canonical Formalism
5. Electromagnetic Field
6. Dirac Equation
7. The Dirac Field
8. Dynamics of Interacting Fields
9. Feynman Graphs
10. Vacuum Correlation Functions
11. Quantum Electrodynamics
12. Processes in Quantum Electrodynamics
13. Perturbative Renormalization
14. Path Integrals
15. Broken Symmetry
16. Renormalization
17. The Gaussian Fixed Point
18. In Two Dimensions
19. Topological Excitations
Appendix A. Background Material
Appendix B. Superfluidity
Appendix C. Polchinski's Renormalization Equation