Cover image for Wolf prize in mathematics
Title:
Wolf prize in mathematics
Physical Description:
2 v. : ill. ; 26 cm.
ISBN:
9789810239459

9789810239466

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30000010225699 QA2 W64 2000 issue.1 Open Access Book Great Book
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30000010225698 QA2 W64 2000 issue.2 Open Access Book Great Book
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Summary

Summary

The Wolf Prize, awarded by the Wolf Foundation in Israel, often goes to mathematicians who are in their sixties or older. That is to say, the Prize honours the achievements of a lifetime.This invaluable book features bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners, such as L Ahlfors, H Cartan, L Carleson, S S Chern, E de Giorgi, S Eilenberg, P Erdös, F Hirzebruch, L Hörmander, K Itô, J B Keller, K Kodaira, R Langlands and J Leray. This is the first time that lectures by some Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in this book.


Table of Contents

J.-P. SerreJ.-P. SerreP. W. JonesM. BenedicksA. WeilJ.-L. Lions and F. MuratM. MirandaE. Bombieri and E. GiustiH. Bass and H. Cartan and P. Freyd and A. Heller and S. MacLaneS. MacLaneN. E. SteenrodB. BollobasM. KacJ. L. SelfridgeH. Grauert and G. Harder and R. RemmertM. F. AtiyahM. F. AtiyahY. Miyaoka and K. UenoP. MalliavinP. MalliavinJ. SchauderA. WeinsteinY. Hamada and C. WagschalY. Hamada and A. Takeuchi
List of Wolf Prize winnersp. v
Prefacep. vii
Lars V. AhlforsF. W. Gehring
Curriculum Vitaep. 1
Publicationsp. 2
Ahlfors' Preface to his Collected Papersp. 7
Caratheodory's Report on Ahlfors' Work for the Fields Medal at the ICM in Oslo 1936p. 11
Ahlfors' Address as Honorary President at the Opening of the ICM in Berkeley 1986p. 14
An Extension of Schwarz's Lemmap. 15
Quasiconformal Reflectionsp. 21
Finitely Generated Kleinian Groupsp. 32
Henri Cartan
Curriculum Vitaep. 49
Breve analyse des travauxp. 51
Les Seminaires Cartan (allocution prononcee par J.-P. Serre en 1975)p. 62
Varietes analytiques complexes et cohomologiep. 67
Espaces fibres et groupes d'homotopie. I. Constructions generalesp. 82
Espaces fibres et groupes d'homotopie. II. Applicationsp. 85
Discours prononce le ler fevrier 1977 a l'occasion de la remise de la Medaille d'Or du C.N.R.S.p. 88
Lennart A. E. Carleson
Curriculum Vitaep. 91
Bibliographyp. 92
Lennart Carleson's Work in Analysisp. 96
Lennart Carleson's Work in Statistical Mechanics and Dynamical Systemsp. 108
On Convergence and Growth of Partial Sums of Fourier Seriesp. 120
Shiing-Shen Chern
Curriculum Vitaep. 143
Bibliographyp. 145
My Mathematical Educationp. 154
S. S. Chern as Geometer and Friendp. 169
Abzahlungen fur Gewebep. 173
A Simple Intrinsic Proof of the Gauss-Bonnet Formula for Closed Riemannian Manifoldsp. 181
On Finsler Geometryp. 187
Ennio De GiorgiM. Miranda
Ennio de Giorgi (1928-1996)p. 192
Bibliographyp. 195
De Giorgi's Summer Holidays and XIX Hilbert Problemp. 206
Alcune applicazioni al Calcolo delle variazioni di una teoria della misura K-dimensionalep. 207
Minimal Cones and the Bernstein Problemp. 208
New Problems in [Gamma]-convergence and G-convergencep. 234
Samuel EilenbergW. S. Massey
Samuel Eilenberg (1913-1998)p. 242
Bibliographyp. 251
Natural Isomorphisms in Group Theoryp. 256
Singular Homology Theoryp. 263
Axiomatic Approach to Homology Theoryp. 288
Paul ErdosB. Bollobas
The Life and Work of Paul Erdosp. 292
Selected Publications of Paul Erdosp. 316
The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functionsp. 328
The Product of Consecutive Integers is Never a Powerp. 333
Friedrich Hirzebruch
Preliminary Remarksp. 343
Bibliography after 1987p. 344
Curriculum vitae mathematicaep. 345
Friedrich Hirzebruch - An Appreciationp. 347
On Steenrod's Reduced Powers, The Index of Inertia, and the Todd Genusp. 352
Arithmetic Genera and the Theorem of Riemann-Roch for Algebraic Varietiesp. 358
Riemann-Roch Theorems for Differentiable Manifoldsp. 363
Learning Complex Analysis in Munster-Paris, Zurich and Princeton from 1945 to 1953p. 369
Kunihiko Kodaira: Mathematician, Friend, and Teacherp. 382
Wolf Prize Ceremony The Knessetp. 389
Opening Speech, ICM Berlin 1998p. 390
Lars Hormander
Curriculum Vitaep. 393
Bibliographyp. 395
My Mathematical Educationp. 404
On the Theory of General Partial Differential Operatorsp. 410
Differential Equations without Solutionsp. 500
Hypoelliptic Second Order Differential Equationsp. 505
Kiyosi Ito
Vitap. 530
Foreword in Kiyosi Ito: Selected Papersp. 531
Bibliographyp. 536
On a Formula Concerning Stochastic Differentialsp. 540
Multiple Wiener Integralp. 551
The Brownian Motion and Tensor Fields on Riemannian Manifoldp. 564
Stochastic Differentialsp. 568
Joseph B. Keller
Curriculum Vitaep. 576
Biographical Sketchp. 578
Publication Listp. 579
Geometrical Theory of Diffractionp. 599
Corrected Bohr-Sommerfeld Quantum Conditions for Nonseparable Systemsp. 614
Kunihiko KodairaY. Miyaoka and K. Ueno
Life of Kunihiko Kodairap. 623
Bibliographyp. 647
On a Differential-Geometric Method in the Theory of Analytic Stacksp. 653
On Compact Analytic Surfacesp. 659
Robert Langlands
Bibliographyp. 674
Problems in the Theory of Automorphic Formsp. 679
Jean LerayP. Malliavin
Jean Leray Worksp. 706
Biographie de Jean Lerayp. 709
Sur le mouvement d'un fluide visqueux emplissant l'espace (introduction only)p. 711
Topologie et equations fonctionnellesp. 715
Sur un probleme de representation conforme pose par la theorie de Helmholtzp. 718
L'anneau d'homologie d'une representationp. 721
Structure de l'anneau d'homologie d'une representationp. 724
Proprietes de l'anneau d'homologie de la projection d'un espace fibre sur sa basep. 727
Determination, dans les cas non exceptionnels, de l'anneau de cohomologie de l'espace homogene quotient d'un groupe de Lie compact par un sous-groupe de meme rangp. 730
Prolongement de la transformation de Laplacep. 733
La theorie des residus sur une variete analytique complexep. 741
La calcul differentiel et integral sur une variete analytique complexep. 746
Systeme d'equations aux derivees partielles a caracteristiques multiples: probleme de Cauchy ramifie; hyperbolicite partielle (introduction only)p. 753
Prolongements analytiques de la solution du probleme de Cauchy lineaire (introduction only)p. 756