WorldCat Identities

Abhyankar, Shreeram Shankar

Overview
Works: 198 works in 491 publications in 6 languages and 8,863 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Honoree, Other, Editor, Director, Dedicatee
Classifications: QA3, 516.35
Publication Timeline
.
Most widely held works by Shreeram Shankar Abhyankar
Local analytic geometry by Shreeram Shankar Abhyankar( )

13 editions published between 1964 and 2001 in English and Undetermined and held by 1,455 WorldCat member libraries worldwide

This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: algebraic treatment of several complex variables; geometric approach to algebraic geometry via analytic sets; survey of local algebra; and survey of sheaf theory. The book has been written in the spirit of Weierstrass. Power series play the dominant role. The treatment, being algebraic, is not restricted to complex numbers, but remains valid over any complete-valued field. This makes it applicable to situations arising from number theory. When it is specialized to the complex case, connectivity and other topological properties come to the fore. In particular, via singularities of analytic sets, topological fundamental groups can be studied. In the transition from punctual to local, ie. from properties at a point to properties near a point, the classical work of Osgood plays an important role. This gives rise to normic forms and the concept of the Osgoodian. Following Serre, the passage from local to global properties of analytic spaces is facilitated by introducing sheaf theory. Here the fundamental results are the coherence theorems of Oka and Cartan. They are followed by theory normalization due to Oka and Zariski in the analytic and algebraic cases, respectively
Resolution of singularities of embedded algebraic surfaces by Shreeram Shankar Abhyankar( Book )

25 editions published between 1966 and 2014 in English and Italian and held by 898 WorldCat member libraries worldwide

This book pays modest tribute to "Reduction of Singularities of Algebraic Three-dimensional Varieties" by Oscar Zariski, in the form of an exposition of it, while extending some of the results to nonzero characteristic. It also addresses global resolution, global principalization, dominance, birational invariance, uniformization, and birational resolution
Lectures on algebra by Shreeram Shankar Abhyankar( )

11 editions published in 2006 in English and Undetermined and held by 843 WorldCat member libraries worldwide

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling. The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more lo
Ramification theoretic methods in algebraic geometry by Shreeram Shankar Abhyankar( Book )

33 editions published between 1956 and 1994 in 3 languages and held by 721 WorldCat member libraries worldwide

Local analytic geometry by Shreeram Shankar Abhyankar( Book )

4 editions published in 1964 in English and held by 579 WorldCat member libraries worldwide

Weighted expansions for canonical desingularization by Shreeram Shankar Abhyankar( Book )

25 editions published between 1982 and 2008 in English and German and held by 579 WorldCat member libraries worldwide

Geometric theory of algebraic space curves by Shreeram Shankar Abhyankar( Book )

14 editions published in 1974 in English and German and held by 575 WorldCat member libraries worldwide

Algebraic geometry for scientists and engineers by Shreeram Shankar Abhyankar( Book )

17 editions published between 1990 and 2000 in English and Undetermined and held by 572 WorldCat member libraries worldwide

Algebraic geometry; papers presented at the Bombay Colloquium, 1968 by Shreeram Shankar Abhyankar( Book )

12 editions published in 1969 in English and Undetermined and held by 307 WorldCat member libraries worldwide

Algebraic space curves by Shreeram Shankar Abhyankar( Book )

17 editions published between 1970 and 1971 in English and French and held by 270 WorldCat member libraries worldwide

Enumerative combinatorics of Young tableaux by Shreeram Shankar Abhyankar( Book )

7 editions published in 1988 in English and held by 268 WorldCat member libraries worldwide

Recent developments in the inverse Galois problem : a Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, July 17-23, 1993, University of Washington, Seattle by Shreeram Shankar Abhyankar( Book )

10 editions published between 1995 and 2012 in English and held by 266 WorldCat member libraries worldwide

Group theory and a first course in algebraic curves are sufficient for understanding many papers in the volume. Graduate students will find this an excellent reference to current research, as it contains a list of problems appropriate for thesis material in arithmetic geometry, algebraic number theory, and group theory
Algebraic geometry and its applications : collections of papers from Shreeram S. Abhyankar's 60th birthday conference by Chandrajit Bajaj( Book )

10 editions published in 1994 in English and held by 245 WorldCat member libraries worldwide

Algebraic Geometry and its Applications will be of interest not only to mathematicians but also to computer scientists working on visualization and related topics. The book is based on 32 invited papers presented at a conference in honor of Shreeram Abhyankar's 60th birthday, which was held in June 1990 at Purdue University and attended by many renowned mathematicians (field medalists), computer scientists and engineers. The keynote paper is by G. Birkhoff; other contributors include such leading names in algebraic geometry as R. Hartshorne, J. Heintz, J.I. Igusa, D. Lazard, D. Mumford, and J.-P. Serre
Algebra, arithmetic and geometry with applications : papers from Shreeram S. Abhyankar's 70th birthday conference by C Christensen( Book )

7 editions published between 1994 and 2004 in English and Undetermined and held by 172 WorldCat member libraries worldwide

This volume is the proceedings of the Conference on Algebra and Algebraic Geometry with Applications which was held July 19 26, 2000, at Purdue University to honor Professor Shreeram S. Abhyankar on the occasion of his seventieth birthday. Eighty-five of Professor Abhyankar's students, collaborators, and colleagues were invited participants. Sixty participants presented papers related to Professor Abhyankar's broad areas of mathematical interest. There were sessions on algebraic geometry, singularities, group theory, Galois theory, combinatorics, Drinfield modules, affine geometry, and the Jacobian problem. This volume offers an outstanding collection of papers by authors who are among the experts in their areas
Lectures on algebra by Shreeram Shankar Abhyankar( Book )

9 editions published in 2006 in English and held by 125 WorldCat member libraries worldwide

Geometry and analysis : papers presented at the Bombay colloquium 1992( Book )

6 editions published in 1995 in English and French and held by 106 WorldCat member libraries worldwide

"This volume consists of a collection of articles based on lectures delivered in an International Colloquium held at the Tata Institute of Fundamental Research, Bombay in January 1992. Prof. M. S. Narasimhan and Prof. C. S. Seshadri turned sixty about that time and in view of the crucial role they played in the evolution of the School of Mathematics of the Tata Institute as one of the major centres of mathematical activity in the world, the occasion was used to felicitate them and to focus on questions close to their interests. Experts from all over the world spoke at the conference on different aspects of geometry and analysis."--BOOK JACKET
Encyclopaedia of Mathematics, Supplement III by Shreeram Shankar Abhyankar( )

1 edition published in 2002 in English and held by 102 WorldCat member libraries worldwide

This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available
Lectures on expansion techniques in algebraic geometry by Shreeram Shankar Abhyankar( Book )

4 editions published in 1977 in English and Undetermined and held by 85 WorldCat member libraries worldwide

Geometric theory of algebraic space curves by Shreeram Shankar Abhyankar( Book )

9 editions published between 1974 and 2006 in English and German and held by 65 WorldCat member libraries worldwide

Local analytic geometry by Shreeram Shankar Abhyankar( Book )

5 editions published in 1964 in English and Italian and held by 64 WorldCat member libraries worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.46 (from 0.00 for Jackie Rob ... to 1.00 for American S ...)

Geometric theory of algebraic space curves Geometric theory of algebraic space curves
Covers
Resolution of singularities of embedded algebraic surfacesLectures on algebraRamification theoretic methods in algebraic geometryLocal analytic geometryWeighted expansions for canonical desingularizationGeometric theory of algebraic space curvesAlgebra, arithmetic and geometry with applications : papers from Shreeram S. Abhyankar's 70th birthday conferenceLectures on algebra
Alternative Names
Abhyankar.

Abhyankar, S.

Abhyankar, S.S.

Abhyankar, S. S. 1930-

Abhyankar, S. S. (Shreeram Shankar)

Abhyankar, Shreeram 1930-

Abhyankar, Shreeram S.

Abhyankar, Shreeram S. 1930-

Abhyankar, Shreeram S. (Shreeram Shankar)

Abhyankar, Shreeram Shankar

Abhyankar, Shreeram Shankar 1930-

Abhyankar, Shriram

Abhyaṅkara, Śrīrāma

biography

Shankar Abhyankar, Shreeram 1930-

Shreeram Abhyankar

Shreeram Abhyankar Amerikaans wiskundige (1930-2012)

Shreeram Abhyankar indischer Mathematiker

Shreeram Shankar Abhyankar

Shreeram Shankar Abhyankar 1930-....

Shreeram Shankar Abhyanker

Shreeram Shankar Abhyanker 1930-

Sríram Sankar Abhjankar indiai matematikus

شیرام شانکار آبیانکار

श्रीराम शंकर अभ्यंकर

ಶ್ರೀರಾಮ ಶಂಕರ ಅಭಯಂಕರ

シュリーラム・シャンカール・アビヤンカール

Languages