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Collected Papers of Salomon Bochner, Part 4 by Salomon Bochner Pdf
During his long and productive career, Salomon Bochner worked in a variety of different areas of mathematics. This four-part set brings together his collected papers, illustrating the range and depth of his mathematical interests. The books are available either individually or as a set.
Mathematics as Metaphor by I͡U. I. Manin,Jurij I. Manin,Yurii Ivanovich Manin,Ûrij Ivanovič Manin Pdf
Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.
Robert Steinberg Collected Papers by Robert Steinberg Pdf
This volume is a collection of published papers by Robert Steinberg. It contains all of his published papers on group theory, including those on "special" representations (now called Steinberg representations), Coxeter groups, regular nilpotent elements and Galois cohomology. After each paper, there is a section, "Comments on the papers", that contains minor corrections and clarifications and explains how ideas and results have evolved and been used since they first appeared.
Selected Papers of S. A. Amitsur with Commentary by Shimshon A. Amitsur Pdf
The second volume continues--and presumably concludes since they date to two years after his death--the selection of almost all of Amitsur's (1921-1994) work demonstrating his wide and enduring contribution to algebra, though some in Hebrew and some expositions are not included. The sections here are combinatorial polynomial identity theory and division algebras, each introduced by a mathematician. The papers are reproduced from their original publication in a variety of type styles and pay layouts. The biographical sketch must be in the first volume. There is no index. c. Book News Inc.
Selected Papers of E. B. Dynkin with Commentary by Evgeniĭ Borisovich Dynkin,Gary M. Seitz Pdf
Eugene Dynkin is a rare example of a contemporary mathematician who has achieved outstanding results in two quite different areas of research: algebra and probability. In both areas, his ideas constitute an essential part of modern mathematical knowledge and form a basis for further development. Although his last work in algebra was published in 1955, his contributions continue to influence current research in algebra and in the physics of elementary particles. His work in probability is part of both the historical and the modern development of the topic. This volume presents Dynkin's scientific contributions in both areas. Included are Commentary by recognized experts in the corresponding fields who describe the time, place, role, and impact of Dynkin's research and achievements. Biographical notes and the recollections of his students are also featured.This book is jointly published by the AMS and the International Press.
Selected Works of Ilya Piatetski-Shapiro by James Cogdell,Simon Gindikin,Peter Sarnak Pdf
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 by Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro Pdf
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. by Frederick J. Almgren Pdf
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 Ellis Kolchin with Commentary by Ellis Robert Kolchin,Alexandru Buium,Phyllis Joan Cassidy Pdf
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.
The Selected Works of V.S. Varadarajan by V. S. Varadarajan Pdf
V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions. This book is jointly published by the AMS and the International Press.
Selected Works of Maurice Auslander by Maurice Auslander Pdf
Auslander made contributions to many parts of algebra, and this 2-volume set (the set ISBN is 0-8218-0679-3, already published) contains a selection of his main work.
The Collected Works of Julia Robinson by Julia Robinson Pdf
This volume presents all the published works -- spanning more than thirty years -- of Julia Bowman Robinson. These papers constitute important contributions to the theory of effectively calculable functions and to its applications. Outstanding among the latter are Robinson's proof of the effective unsolvability of the decision problem for the rational number field (and, consequently of that for the first-order theory of all fields), and her work that provided the central step toward the negative solution of Hilbert's Tenth Problem. These results provide upper bound for what one can hope to obtain in the way of positive solutions to the decision problem for special classes of fields and for special classes of diophantine equations, respectively. Besides thematic unity, Robinson's papers are distinguished by their clarity of purpose and accessibility to non-specialists as well as specialists. The volume also includes an extensive biographical memoir on the life and work of Robinson, who will be remembered not only for her distinctive and vital contributions, but also as the first woman to be elected to the mathematical section of the National Academy of Sciences and as the first woman to be President of the American Mathematical Society.
Selected Papers of Walter E. Thirring with Commentaries by Walter E. Thirring Pdf
".... with the huge success of the quantum theory, starting especially with the Schrödinger equation in 1926, came a feeling among the leading physicists that mathematics should keep in the background or, as one person put it, `elegance is for tailors'. From the other side, mid-twentieth century mathematicians were not much more hospitable about intrusions of physics, as we can see, for instance, in Hardy's well known little essay. Walter was one of the first, in the post-war years, to try to put things back together." -- from the Foreword by Elliott Lieb This book contains Thirring's scientific contributions to mathematical physics, statistical physics, general relativity, quantum field theory, and elementary particle theory from 1950 onward. The order of the papers within the various sections is chronological and reflects the development of the fields during the second half of this century. In some cases, Thirring returned to problems decades later when the tools for their solution had ripened. Each section contains introductory comments by Thirring, outlining his motivation for the work at that time.