The Mathematics of Frobenius in Context (Record no. 44607)
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| fixed length control field | 04470nam a22004817a 4500 |
| 001 - CONTROL NUMBER | |
| control field | sulb-eb0022515 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | BD-SySUS |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20160413122302.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130723s2013 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781461463337 |
| -- | 978-1-4614-6333-7 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-1-4614-6333-7 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA21-27 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBX |
| Source | bicssc |
| Subject category code | MAT015000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510.9 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hawkins, Thomas. |
| Relator term | author. |
| 245 14 - TITLE STATEMENT | |
| Title | The Mathematics of Frobenius in Context |
| Medium | [electronic resource] : |
| Remainder of title | A Journey Through 18th to 20th Century Mathematics / |
| Statement of responsibility, etc. | by Thomas Hawkins. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | New York, NY : |
| Name of producer, publisher, distributor, manufacturer | Springer New York : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIII, 699 p. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Sources and Studies in the History of Mathematics and Physical Sciences, |
| International Standard Serial Number | 2196-8810 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. A Berlin Education -- 2. Professor at the Zurich Polytechnic -- 3. Berlin Professor -- 4. The Paradigm -- 5. Further Development of the Paradigm -- 6. The Problem of Pfaff -- 7. The Cayley-Hermite Problem and Matrix Algebra -- 8. Arithmetical Investigations: Linear Algebra -- 9. Arithmetical Investigations: Groups -- 10. Abelian Functions -- 11. Frobenius' Generalized Theory of Theta Functions -- 12. The Group Determinant Problem -- 13. Group Characters and Representations -- 14. Alternate Routes to Representation Theory -- 15. Characters and Representations after 1897 -- 16. Loose Ends -- 17. Nonnegative Matrices -- 18. The Mathematics of Frobenius in Retrospect -- References -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Frobenius is best known as creator of the theory of group characters and representations, but his name is attached to a multitude of theorems and concepts from a broad spectrum of mathematical disciplines. In this book his mathematics is presented “in context” in two senses. The first provides the reader with the historical background necessary to understand why Frobenius undertook to solve a particular problem and to appreciate the magnitude of his achievement. Part of the context involves Frobenius’ training in the Berlin school of mathematics presided over by Weierstrass, Kronecker, and Kummer, from whom he learned disciplinary ideals as well as theorems. Frobenius’ mathematics is also presented “in context” in that the author traces the ways in which his work was subsequently applied, developed, and ultimately incorporated into present-day mathematics. As a consequence of the contextual approach, the reader will encounter a broad swath of diverse and important strands of 18th–20th century mathematics, ranging from the work of Lagrange and Laplace on stability of linear systems of differential equations to the theory of complex abelian varieties. The book is divided into three parts. Part I provides an overview of Frobenius’ entire mathematical career and thus serves as an introduction to the main body of the book. Here, within the framework of his educational and professional career, his contributions to mathematics and the attendant backgrounds are briefly sketched and their subsequent impact upon the development of mathematics indicated. Part II presents the development of core aspects of linear algebra up to and including the work of Weierstrass and Kronecker. The chapters of Part III deal in depth with Frobenius’ major works and can be read independently of one another. Thomas Hawkins was awarded the MAA Chauvenet Prize for expository writing and was the first recipient of the AMS Whiteman Prize for historical exposition. His last book was Emergence of the Theory of Lie Groups (Springer, 2000). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | Matrix theory. |
| Topical term or geographic name as entry element | Algebra. |
| Topical term or geographic name as entry element | History. |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | History of Mathematical Sciences. |
| Topical term or geographic name as entry element | Linear and Multilinear Algebras, Matrix Theory. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9781461463320 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Sources and Studies in the History of Mathematics and Physical Sciences, |
| International Standard Serial Number | 2196-8810 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-1-4614-6333-7">http://dx.doi.org/10.1007/978-1-4614-6333-7</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
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