Emil Artin's Books

Exposition by Emil Artin: A Selection

A Selection

By: Emil Artin

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Exposition by Emil Artin: A Selection

A Selection

By: Emil Artin

Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. He also discovered and proved the Artin reciprocity law, the culmination of over a century and a half of progress in algebraic number theory. Artin had a great influence on the development of mathematics in his time, both by means of his many contributions to research and by the high level and excellence of his teaching and expository writing. In this volume we gather together in one place a selection of his writings wherein the reader can learn some beautiful mathematics as seen through the eyes of a true master. The volume's Introduction provides a short biographical sketch of Emil Artin, followed by an introduction to the books and papers included in the volume. The reader will first find three of Artin's short books, titled The Gamma Function, Galois Theory, and Theory of Algebraic Numbers, respectively. These are followed by papers on algebra, algebraic number theory, real fields, braid groups, and complex and functional analysis. The three papers on real fields have been translated into English for the first time. The flavor of these works is best captured by the following quote of Richard Brauer. ``There are a number of books and sets of lecture notes by Emil Artin. Each of them presents a novel approach. There are always new ideas and new results. It was a compulsion for him to present each argument in its purest form, to replace computation by conceptual arguments, to strip the theory of unnecessary ballast. What was the decisive point for him was to show the beauty of the subject to the reader.'' Information for our distributors: Copublished with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

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Page Count

359

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821841726

ISBN 13

9780821841723

Geometric Algebra

By: Emil Artin

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Geometric Algebra

By: Emil Artin

Originally published: New York: Interscience Publishers, Inc., 1957.

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228

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Courier Dover Publications

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ISBN 10

0486801551

ISBN 13

9780486801551

Exposition by Emil Artin: A Selection

A Selection

By: Emil Artin

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Exposition by Emil Artin: A Selection

A Selection

By: Emil Artin

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Page Count

359

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American Mathematical Soc.

Published Date

ISBN 10

0821841726

ISBN 13

9780821841723

Emil Artin and Helmut Hasse

By: Emil Artin,Helmut Hasse,Günther Frei,Peter Roquette,Franz Lemmermeyer

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Emil Artin and Helmut Hasse

By: Emil Artin,Helmut Hasse,Günther Frei,Peter Roquette,Franz Lemmermeyer

This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's L-series and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung.

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502

Publisher

Universitätsverlag Göttingen

Published Date

ISBN 10

3940344508

ISBN 13

9783940344502

Algebraic Numbers and Algebraic Functions

By: Emil Artin

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Algebraic Numbers and Algebraic Functions

By: Emil Artin

Originated from the notes of a course given at Princeton University in 1950-1951, this text offers an introduction to algebraic numbers and algebraic functions. It starts with the general theory of valuation fields, proceeds to the local class field theory, and then to the theory of function fields in one variable.

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Page Count

366

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821840754

ISBN 13

9780821840757

The Gamma Function

By: Emil Artin

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The Gamma Function

By: Emil Artin

This brief monograph on the gamma function by a major 20th century mathematician was designed to bridge a gap in the literature of mathematics between incomplete and over-complicated treatments. Topics include functions, the Euler integrals and the Gauss formula, large values of X and the multiplication formula, the connection with sin X applications to definite integrals, and other subjects. "--

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Courier Dover Publications

Published Date

ISBN 10

0486789780

ISBN 13

9780486789781

Class Field Theory

By: Emil Artin,John Torrence Tate

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Class Field Theory

By: Emil Artin,John Torrence Tate

This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory ... In this revised edition, two mathematical additions complementing the exposition of the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.

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Page Count

206

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821869515

ISBN 13

9780821869512

The Gamma Function

By: Emil Artin

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The Gamma Function

By: Emil Artin

This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.

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Courier Dover Publications

Published Date

ISBN 10

0486803007

ISBN 13

9780486803005

Algebra

Based in Part on Lectures by E. Artin and E. Noether. ...

By: B.L. van der Waerden,Emil Artin,Emmy Noether

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Algebra

Based in Part on Lectures by E. Artin and E. Noether. ...

By: B.L. van der Waerden,Emil Artin,Emmy Noether

Based in part on lectures by E. Artin and E. Noether

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Page Count

284

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387406247

ISBN 13

9780387406244

Algebra with Galois Theory

By: Emil Artin

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Algebra with Galois Theory

By: Emil Artin

Algebra with Galois Theory' is based on lectures by Emil Artin. The book is an ideal textbook for instructors and a supplementary or primary textbook for students.

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137

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821841297

ISBN 13

9780821841297

Geometric Algebra

By: Emil Artin

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Geometric Algebra

By: Emil Artin

This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.

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228

Publisher

Courier Dover Publications

Published Date

ISBN 10

048680920X

ISBN 13

9780486809205

Galois Theory

By: Emil Artin,Arthur Norton Milgram

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Galois Theory

By: Emil Artin,Arthur Norton Milgram

In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups-one of the most penetrating concepts in modem mathematics. The elements of the theory are clearly presented in this second, revised edition of a volume of lectures delivered by noted mathematician Emil Artin. The book has been edited by Dr. Arthur N. Milgram, who has also supplemented the work with a Section on Applications. The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more. Dr. Milgram's section on applications discusses solvable groups, permutation groups, solution of equations by radicals, and other concepts.

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Page Count

100

Publisher

Courier Corporation

Published Date

ISBN 10

0486623424

ISBN 13

9780486623429

Galois Theory

Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures,

By: Emil Artin

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Galois Theory

Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures,

By: Emil Artin

Clearly presented discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.

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Page Count

100

Publisher

Courier Corporation

Published Date

ISBN 10

048615825X

ISBN 13

9780486158259

Topics from the Theory of Numbers

By: Emil Grosswald

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Topics from the Theory of Numbers

By: Emil Grosswald

Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.

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336

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817648380

ISBN 13

9780817648381

Analysis and Geometry in Several Complex Variables

By: Shiferaw Berhanu,Nordine Mir,Emil J. Straube

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Analysis and Geometry in Several Complex Variables

By: Shiferaw Berhanu,Nordine Mir,Emil J. Straube

This volume contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4–8, 2015, at Texas A&M University at Qatar, Doha, Qatar. This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas. Papers feature original research on diverse topics such as the rigidity of CR mappings, normal forms in CR geometry, the d-bar Neumann operator, asymptotic expansion of the Bergman kernel, and hypoellipticity of complex vector fields. Also included are two survey articles on complex Brunn-Minkowski theory and the regularity of systems of complex vector fields and their associated Laplacians.

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Page Count

194

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470422557

ISBN 13

9781470422554

Design of Buildings for Wind

A Guide for ASCE 7-10 Standard Users and Designers of Special Structures

By: Emil Simiu

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Design of Buildings for Wind

A Guide for ASCE 7-10 Standard Users and Designers of Special Structures

By: Emil Simiu

ASCE 7 is the US standard for identifying minimum design loads for buildings and other structures. ASCE 7 covers many load types, of which wind is one. The purpose of this book is to provide structural and architectural engineers with the practical state-of-the-art knowledge and tools needed for designing and retrofitting buildings for wind loads. The book will also cover wind-induced loss estimation. This new edition include a guide to the thoroughly revised, 2010 version of the ASCE 7 Standard provisions for wind loads; incorporate major advances achieved in recent years in the design of tall buildings for wind; present material on retrofitting and loss estimation; and improve the presentation of the material to increase its usefulness to structural engineers. Key features: New focus on tall buildings helps make the analysis and design guidance easier and less complex. Covers the new simplified design methods of ASCE 7-10, guiding designers to clearly understand the spirit and letter of the provisions and use the design methods with confidence and ease. Includes new coverage of retrofitting for wind load resistance and loss estimation from hurricane winds. Thoroughly revised and updated to conform with current practice and research.

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Page Count

262

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118077377

ISBN 13

9781118077375

Algebra with Galois Theory

By: Emil Artin

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Algebra with Galois Theory

By: Emil Artin

Algebra with Galois Theory' is based on lectures by Emil Artin. The book is an ideal textbook for instructors and a supplementary or primary textbook for students.

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