Author: Philippe AndréPublisher:
ISBN:
Category :
Languages : fr
Pages :
Book Description
Nouveau Cours d'arithmétique (n°4)... par M. Ph. André
Author: Philippe AndréNouveau cours d'arithmétique
Author: Ph.. AndréNouveau cours d'arithmétique
Author: P. LeyssenneNouveau cours d'arithmétique cours moyen
Author: P. LeysenneThe Wild World of 4-Manifolds
Author: Alexandru ScorpanPublisher: American Mathematical Soc.
ISBN: 0821837494
Category : Mathematics
Languages : en
Pages : 642
Book Description
What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.
Nouveau cours d'arithmétique (n° 4)
Author: Philippe André (auteur de manuel scolaire).)Publisher:
ISBN:
Category :
Languages : fr
Pages : 352
Book Description
Nouveau cours d'arithmétique (n°4)
Author: Philippe AndréIntroduction to Siegel Modular Forms and Dirichlet Series
Author: Anatoli AndrianovPublisher: Springer Science & Business Media
ISBN: 0387787534
Category : Mathematics
Languages : en
Pages : 188
Book Description
Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The idea to present in a concise but basically complete and self-contained form an int- duction to an important and developing area based partly on my own work attracted me. I accepted the invitation and started to prepare the course. Unfortunately, the visit was not realized. But the idea of such a course continued to be alive till after a number of years this book was ?nally completed. I hope that this short book will serve to attract young researchers to this beautiful ?eld, and that it will simplify and make more pleasant the initial steps. No special knowledge is presupposed for reading this book beyond standard courses in algebra and calculus (one and several variables), although some skill in working with mathematical texts would be helpful. The reader will judge whether the result was worth the effort. Dedications. The ideas of Goro Shimura exerted a deep in?uence on the number theory of the second half of the twentieth century in general and on the author’s formation in particular. When Andre ` Weil was signing a copy of his “Basic Number Theory” to my son, he wrote in Russian, ”To Fedor Anatolievich hoping that he will become a number theoretist”. Fedor has chosen computer science. Now I pass on the idea to Fedor’s daughter, Alexandra Fedorovna.
Treatise on Analysis
Author: J. DieudonnéPublisher: Academic Press
ISBN: 1483144968
Category : Mathematics
Languages : en
Pages : 387
Book Description
Treatise on Analysis, Volume 10–VII provides information pertinent to the fundamental aspects of linear functional equations. This book discusses the problems dealing with functional equations of scalar or of vectors. Comprised of one chapter, this volume begins with a description and study of the primary concepts and tools that have prompted the progress in the study of linear partial differential equations. This text then explains the importance of the integral operators. The reader is also introduced to integral operators that operate not only on vector function, but also on sections of vector bundles. This book discusses as well the applications of the differential operators to spectral theory. This book is a valuable resource for mathematicians.
Author: