Collected Works of Witold Hurewicz

Collected Works of Witold Hurewicz
Title Collected Works of Witold Hurewicz PDF eBook
Author Witold Hurewicz
Publisher American Mathematical Soc.
Pages 654
Release 1995
Genre Mathematics
ISBN 0821800116

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This book contains papers of the outstanding and versatile mathematician, Witold Hurewicz. Preceding the collection are introductory articles describing Hurewicz's contributions to Borel sets, dimension theory, and algebraic topology. Hurewicz first studied set theory and dimension, and his papers on this topic are especially clear and precise, making them accessible to beginning mathematicians. His work in algebraic topology is marked by five fundamental papers which provide an introduction to homotopy groups and the Hurewicz Theorem concerning the relation between homotopy and singular homology. These papers are included here in their original form along with English translations. Each paper in the collection is followed by a review from one of the major reviewing journals. These reviews were written by eminent mathematicians and serve as excellent abstracts for the papers.

Collected Papers of John Milnor

Collected Papers of John Milnor
Title Collected Papers of John Milnor PDF eBook
Author John Willard Milnor
Publisher American Mathematical Soc.
Pages 388
Release 1994
Genre Algebra
ISBN 082184475X

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Selected Works of Ilya Piatetski-Shapiro

Selected Works of Ilya Piatetski-Shapiro
Title Selected Works of Ilya Piatetski-Shapiro PDF eBook
Author James Cogdell
Publisher American Mathematical Society
Pages 852
Release 2022-11-03
Genre Mathematics
ISBN 1470454947

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This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Selected Works of Ilya Piatetski-Shapiro

Selected Works of Ilya Piatetski-Shapiro
Title Selected Works of Ilya Piatetski-Shapiro PDF eBook
Author Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro
Publisher American Mathematical Soc.
Pages 860
Release 2000
Genre Mathematics
ISBN 9780821809303

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This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Selected Works of Frederick J. Almgren, Jr.

Selected Works of Frederick J. Almgren, Jr.
Title Selected Works of Frederick J. Almgren, Jr. PDF eBook
Author Frederick J. Almgren
Publisher American Mathematical Soc.
Pages 638
Release 1999
Genre Mathematics
ISBN 9780821810675

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This volume offers a unique collection of some of the work of Frederick J. Almgren, Jr., the man most noted for defining the shape of geometric variational problems and for his role in founding The Geometry Center. Included in the volume are the following: a summary by Sheldon Chang of the famous 1700 page paper on singular sets of area-minimizing $m$-dimensional surfaces in $Rn$, a detailed summary by Brian White of Almgren's contributions to mathematics, his own announcements of several longer papers, important shorter papers, and memorable expository papers. Almgren's enthusiasm for the subject and his ability to locate mathematically beautiful problems that were "ready to be solved" attracted many students who further expanded the subject into new areas. Many of these former students are now known for the clarity of their expositions and for the beauty of the problems that they work on. As Almgren's former graduate student, wife, and colleague, Professor Taylor has compiled an important volume on an extraordinary mathematician. This collection presents a fine comprehensive view of the man's mathematical legacy

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Phillip A. Griffiths with Commentary
Title Selected Works of Phillip A. Griffiths with Commentary PDF eBook
Author Phillip Griffiths
Publisher American Mathematical Soc.
Pages 694
Release 2003
Genre Mathematics
ISBN 9780821820865

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Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

Selected Works of Ellis Kolchin with Commentary

Selected Works of Ellis Kolchin with Commentary
Title Selected Works of Ellis Kolchin with Commentary PDF eBook
Author Ellis Robert Kolchin
Publisher American Mathematical Soc.
Pages 660
Release 1999
Genre Mathematics
ISBN 9780821805428

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The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a "new geometry" that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory.