The Resource The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics, by Thomas Hawkins, (electronic resource)

The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics, by Thomas Hawkins, (electronic resource)

Label
The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics
Title
The Mathematics of Frobenius in Context
Title remainder
A Journey Through 18th to 20th Century Mathematics
Statement of responsibility
by Thomas Hawkins
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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)
Member of
http://library.link/vocab/creatorName
Hawkins, Thomas
Dewey number
512.5
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
6V0b_4v3A3I
Language note
English
LC call number
QA21-27
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Sources and studies in the history of mathematics and physical sciences
  • Sources and Studies in the History of Mathematics and Physical Sciences,
http://library.link/vocab/subjectName
  • Matrix theory
  • History of Mathematical Sciences
  • Linear and Multilinear Algebras, Matrix Theory
Label
The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics, by Thomas Hawkins, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (698 p.)
Form of item
online
Isbn
9781461463337
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-6333-7
Specific material designation
remote
System control number
  • (CKB)2670000000399060
  • (EBL)1106484
  • (OCoLC)854969970
  • (SSID)ssj0000962925
  • (PQKBManifestationID)11558577
  • (PQKBTitleCode)TC0000962925
  • (PQKBWorkID)10980110
  • (PQKB)11063923
  • (DE-He213)978-1-4614-6333-7
  • (MiAaPQ)EBC1106484
  • (EXLCZ)992670000000399060
Label
The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics, by Thomas Hawkins, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (698 p.)
Form of item
online
Isbn
9781461463337
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-6333-7
Specific material designation
remote
System control number
  • (CKB)2670000000399060
  • (EBL)1106484
  • (OCoLC)854969970
  • (SSID)ssj0000962925
  • (PQKBManifestationID)11558577
  • (PQKBTitleCode)TC0000962925
  • (PQKBWorkID)10980110
  • (PQKB)11063923
  • (DE-He213)978-1-4614-6333-7
  • (MiAaPQ)EBC1106484
  • (EXLCZ)992670000000399060

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