Author: Alan Baker Publisher: Cambridge University Press ISBN: 9780521335454 Category : Mathematics Languages : en Pages : 456
Book Description
This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles.
Author: A. Baker Publisher: ISBN: Category : Mathematics Languages : en Pages : 256
Book Description
This volume is an account of the proceedings of a conference on transcendence theory and its applications held in the University of Cambridge during January and February, 1976. The sixteen papers reflect the considerable current activity in this area, and establish a wide variety of original results. The papers have been arranged in groups with a common themes, such as the theory of linear forms in the logarithms of algebraic numbers and its applications, the transcendence theory of elliptic and Abelian functions, and linear and algebraic independence of meromorphic functions, and arithmetical properties of polynomials in several variables.
Author: Michael Atiyah Publisher: World Scientific ISBN: 9814497517 Category : Mathematics Languages : en Pages : 644
Book Description
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.
Author: Sheng Gong Publisher: Springer ISBN: 366207981X Category : Mathematics Languages : en Pages : 356
Book Description
The international symposium on number theory and analysis in memory of the late famous Chinese mathematician Professor Hua Loo Keng took place in August 1988 at the Tsinghua University in Beijing. Excellent survey lectures and expositions of the most recent results in number theory and analysis were given by experts from all over the world. While Volume I focuses on number theory, Volume II deals mainly with several complex variables, differential geometry and classical complex analysis. Both volumes also include two fascinating accounts of Professor Hua Loo Keng's life and work by Professor S. Iyanaga and Professor Wang Yuan. Highlights in Volume I: D.A. Hejhal: Eigenvalues of the Laplacian for PSL (2 Z): Some new Results and Computational Techniques.- A.A. Karatsuba: On the Zeros of Riemann's Zeta-Function on the Critical Line.- H.E. Richert: Aspects of the Small Sieve.- W.M. Schmidt: On the Number of Good Simultaneous Approximations to Algebraic Numbers.- M.V. Subbarao, Wang Yuan: On a Generalized Waring's Problem in Algebraic Number Fields.- G. WA1/4stholz: From Baker to Mordell. Highlights in Volume II: F. Capocasa, F. Catanese: Periodic Meroporphic Functions and Lefschetz Type Theorems on Quasi-Abelian Varieties.- S.S. Chern: Families of Hypersurfaces Under Contact Transformations in Rn.- G. Dethloff, H. Grauert: On the Infinitesimal Deformation of Simply Connected Domains in One Complex Variable.- D. Drasin: Asymptotic Periods of Entire and Meromorphic Functions.- D. Gaier: On the Convergence of the Bieberbach Polynomials in Regions With Corners.- Gong Sheng, Zheng Xuena: Distortion Theorem for Biholomorphic Mappings in Transitive Domains (I).- C.O. Kiselman: Tangents of Plurisubharmonic Functions.- A. KorAnyi: Hua-Type Integrals, Hypergeometric Functions and Symmetric Polynomials.- J. Mitchell: Two-Sided L1-Estimates for SzegA Kernels on Classical Domains.- I. Satake: On the Rational Structures of Symmetric Domains, I.- Y.-T. Siu: Some Problems of Rigidity in Several Complex Variables.- S.-T. Yau, F. Zheng: On Projective Manifolds Covered by Space in Cn.
Author: F. Halter-Koch Publisher: Walter de Gruyter ISBN: 3110801957 Category : Mathematics Languages : en Pages : 573
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author: Shigeyoshi Owa Publisher: World Scientific ISBN: 9814505692 Category : Mathematics Languages : en Pages : 475
Book Description
This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.
Author: Serge Lang Publisher: Springer Science & Business Media ISBN: 3642582273 Category : Mathematics Languages : en Pages : 307
Book Description
In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational numbers, or various generalizations, such as finitely generated rings over Z or finitely generated fields over Q. The word Geometry is tacked on to suggest geometric methods. This means that the present volume is not elementary. For a survey of some basic problems with a much more elementary approach, see [La 9Oc]. The field of diophantine geometry is now moving quite rapidly. Out standing conjectures ranging from decades back are being proved. I have tried to give the book some sort of coherence and permanence by em phasizing structural conjectures as much as results, so that one has a clear picture of the field. On the whole, I omit proofs, according to the boundary conditions of the encyclopedia. On some occasions I do give some ideas for the proofs when these are especially important. In any case, a lengthy bibliography refers to papers and books where proofs may be found. I have also followed Shafarevich's suggestion to give examples, and I have especially chosen these examples which show how some classical problems do or do not get solved by contemporary in sights. Fermat's last theorem occupies an intermediate position. Al though it is not proved, it is not an isolated problem any more.
Author: Alan Baker
Author: A. Baker
Author: Michael Atiyah
Author: Rajat Tandon
Author: Jan-Hendrik Evertse
Author: G. Wüstholz
Author: Sheng Gong
Author: F. Halter-Koch
Author: Shigeyoshi Owa
Author: Serge Lang