An Introduction to Twistor Theory

Author: S. A. Huggett,None,K. P. Tod

Publisher: Cambridge University Press

ISBN: 9780521456890

Category: Mathematics

Page: 178

View: 2368

This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics.
Posted in Mathematics

An Introduction to K-Theory for C*-Algebras

Author: M. Rørdam,Flemming Larsen,N. Laustsen

Publisher: Cambridge University Press

ISBN: 9780521789448

Category: Mathematics

Page: 242

View: 6582

This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
Posted in Mathematics

A Brief Guide to Algebraic Number Theory

Author: H. P. F. Swinnerton-Dyer

Publisher: Cambridge University Press

ISBN: 9780521004237

Category: Mathematics

Page: 146

View: 5927

Broad graduate-level account of Algebraic Number Theory, including exercises, by a world-renowned author.
Posted in Mathematics

An Introduction to Noncommutative Noetherian Rings

Author: K. R. Goodearl,R. B. Warfield, Jr

Publisher: Cambridge University Press

ISBN: 9780521369251

Category: Mathematics

Page: 303

View: 6855

Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).
Posted in Mathematics

An Introduction to Hankel Operators

Author: Jonathan R. Partington

Publisher: Cambridge University Press

ISBN: 9780521367912

Category: Mathematics

Page: 103

View: 6102

Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
Posted in Mathematics

LMSST: 24 Lectures on Elliptic Curves

Author: John William Scott Cassels

Publisher: Cambridge University Press

ISBN: 9780521425308

Category: Mathematics

Page: 137

View: 8901

The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the "Riemann hypothesis for function fields") and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction.
Posted in Mathematics

Hyperbolic Geometry

Author: Birger Iversen

Publisher: Cambridge University Press

ISBN: 0521435080

Category: Mathematics

Page: 298

View: 4801

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.
Posted in Mathematics

Dynamical Systems and Ergodic Theory

Author: Mark Pollicott,Michiko Yuri

Publisher: Cambridge University Press

ISBN: 9780521575997

Category: Mathematics

Page: 179

View: 1563

This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).
Posted in Mathematics

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2440

Posted in Mathematics

New Technical Books

Author: New York Public Library

Publisher: N.A

ISBN: N.A

Category: Engineering

Page: N.A

View: 8548

Posted in Engineering

British Book News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 6686

Includes no. 53a: British wartime books for young people.
Posted in Best books

Twistors in Mathematics and Physics

Author: T. N. Bailey,R. J. Baston

Publisher: Cambridge University Press

ISBN: 9780521397834

Category: Mathematics

Page: 396

View: 1718

Twistor theory has become a diverse subject as it has spread from its origins in theoretical physics to applications in pure mathematics. This 1990 collection of review articles covers the considerable progress made in a wide range of applications such as relativity, integrable systems, differential and integral geometry and representation theory. The articles explore the wealth of geometric ideas which provide the unifying themes in twistor theory, from Penrose's quasi-local mass construction in relativity, to the study of conformally invariant differential operators, using techniques of representation theory.
Posted in Mathematics

Twistor Newsletter

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Spinor analysis

Page: N.A

View: 8665

Posted in Spinor analysis

Mathematics

frontiers and perspectives

Author: Vladimir Igorevich Arnolʹd,International Mathematical Union

Publisher: Amer Mathematical Society

ISBN: 9780821820704

Category: Mathematics

Page: 459

View: 8710

This remarkable book is a celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the volume was born as part of the activities observing the World Mathematical Year 2000. The volume consists of 30 articles written by some of the most influential mathematicians of our time. Authors of 15 contributions were recognized in various years by the IMU as recipients of the Fields Medal, from K. F. Roth (Fields Medalist, 1958) to W. T. Gowers (Fields Medalist, 1998). The articles offer valuable reflections about the amazing mathematical progress we have witnessed in this century and insightful speculations about the possible development of mathematics over the next century. Some articles formulate important problems, challenging future mathematicians. Others pay explicit homage to the famous set of Hilbert Problems posed one hundred years ago, giving enlightening commentary. Yet other papers offer a deeply personal perspective, allowing singular insight into the minds and hearts of people doing mathematics today. Mathematics: Frontiers and Perspectives is a unique volume that pertains to a broad mathematical audience of various backgrounds and levels of interest. It offers readers true and unequaled insight into the wonderful world of mathematics at this important juncture: the turn of the millennium. The work is one of those rare volumes that can be browsed, and if you do simply browse through it, you get a wonderful sense of mathematics today. Yet it also can be intensely studied on a detailed technical level for gaining insight into some of the great problems on which mathematicians are currently working. Individual members of mathematical societies of the IMU member countries can purchase this volume at the AMS member price when buying directly from the AMS.
Posted in Mathematics

Presentations of Groups

Author: D. L. Johnson

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 1526

Posted in

Bulletin

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3910

Posted in Mathematics