Ramification Theoretic Methods in Algebraic Geometry
Ramification Theoretic Methods in Algebraic Geometry

Author: Shreeram Shankar Abhyankar

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 117

ISBN-13: 1400881390

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A classic treatment of ramification theoretic methods in algebraic geometry from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Knot Groups
Knot Groups

Author: Lee Paul Neuwirth

Publisher: Princeton University Press

Published: 1965-03-21

Total Pages: 124

ISBN-13: 9780691079912

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The description for this book, Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56, will be forthcoming.

Algebra, Arithmetic and Geometry with Applications
Algebra, Arithmetic and Geometry with Applications

Author: Chris Christensen

Publisher: Springer Science & Business Media

Published: 2011-06-27

Total Pages: 778

ISBN-13: 3642184871

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Proceedings of the Conference on Algebra and Algebraic Geometry with Applications, 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. Sessions were held 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 expert authors.

Lectures on Fourier Integrals
Lectures on Fourier Integrals

Author: Salomon Bochner Trust

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 348

ISBN-13: 1400881994

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Salomon Bochner’s classic lectures on Fourier integrals from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Resolution of Singularities of Embedded Algebraic Surfaces
Resolution of Singularities of Embedded Algebraic Surfaces

Author: Shreeram S. Abhyankar

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 319

ISBN-13: 3662035804

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The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety. The degrees of freedom of a moving point on the variety is the dimension of the variety. A one-dimensional variety is a curve and a two-dimensional variety is a surface. A three-dimensional variety may be called asolid. Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater than one. Points of multiplicity two are double points, points of multiplicity three are tripie points, and so on. A nodal point of a curve is a double point where the curve crosses itself, such as the alpha curve. A cusp is a double point where the curve has a beak. The vertex of a cone provides an example of a surface singularity. A reversible change of variables gives abirational transformation of a variety. Singularities of a variety may be resolved by birational transformations.

The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Author: Krishnaswami Alladi

Publisher: Springer Science & Business Media

Published: 2010-08-26

Total Pages: 571

ISBN-13: 1441962638

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In the spirit of Alladi Ramakrishnan’s profound interest and contributions to three fields of science — Mathematics, Statistics, and Physics — this volume contains invited surveys and research articles from prominent members of these communities who also knew Ramakrishnan personally and greatly respected his influence in these areas of science. Historical photos, telegrams, and biographical narratives of Alladi Ramakrishnan’s illustrious career of special interest are included as well.