Abstract
A conference on Algebra, Arithmetic, Geometry, and its Applications was held at Purdue University, to celebrate the seventieth birthday of Professor Shreeram Abhyankar. This conference was held between the 20th and 26th, of July, 2000; close to one hundred mathematicians participated, and over sixty of them presented their work. This volume contains papers from several of the participants, and some others who could not make it to the conference. The conference was supported by contributions from: Bell Labs, The office of Naval Research, The School of Science — Purdue University, and The Department of Mathematics — Purdue University. We sincerely thank Professor Carl Cowen, Head of the Department of Mathematics, Purdue University, the administrative staff of the department, and Ms. Susan Umberger, Purdue Conferences, for all their help. Without their help and dedication the conference would not have been possible. In addition, our sincere thanks to Professor Bajaj and Professor Sathaye who did the lion’s share of the editing of these proceedings.
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Additional Lecture Notes
Some Remarks on the Jacobian Question, Lectures given by S. S.Abhyankar at Purdue University, notes by M. van der Put and W. Heinzer, 1971–1972.
Lectures in Algebraic Geometry, Lectures given by S. S. Abhyankar at University of Minnesota and Purdue University, Notes by C. Christensen, 1974.
Approximate Roots of Polynomials and Special Cases of the Epimorphism Theorem, Lectures given by S. S. Abhyankar to an undergraduate class at Purdue University, Notes by C. Christensen, 1975.
Algebraic Geometry for Scientists and Engineers, Lectures given by S. S. Abhyankar in February 1986 under a course titled “Algebraic Geometry for Scientists and Engineers” at Purdue University organized by Professors Ramkrishna (School of Chemical Engineering) and Bajaj (Department of Computer Science), Notes by C. Bajaj and S. Ghorpade, 1986.
Algorithmic Algebraic Geometry I, Lectures given by S. S. Abhyankar in September 1986 at Purdue University, Notes by C. Bajaj (Department of Computer Science) and Foreword by T. L. Morin (School of Industrial Engineering), First Tech Report of the ONR sponsored URI (University Research Initiative) in Computational Combinatorics at Purdue University, 1986.
Videotape of A4, Engineering Library, Purdue University, 1986.
Algorithmic Algebraic Geometry II, Lectures given by S. S. Abhyankar in February 1987 at Purdue University, Notes by C. Bajaj (Department of Computer Science), 1987.
Videotape of A6, Engineering Library, Purdue University, 1987.
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Christensen, C., Sundaram, G.S. (2004). Preface to the Proceedings. In: Christensen, C., Sathaye, A., Sundaram, G., Bajaj, C. (eds) Algebra, Arithmetic and Geometry with Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18487-1_1
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