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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)
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The item The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics, by Thomas Hawkins, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics, by Thomas Hawkins, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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 presentday 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)
 Language

 eng
 eng
 Edition
 1st ed. 2013.
 Extent
 1 online resource (698 p.)
 Note
 Description based upon print version of record
 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 CayleyHermite 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
 Isbn
 9781461463337
 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
 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 presentday 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)
 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
 QA2127
 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)
 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 CayleyHermite 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
 10.1007/9781461463337
 Specific material designation
 remote
 System control number

 (CKB)2670000000399060
 (EBL)1106484
 (OCoLC)854969970
 (SSID)ssj0000962925
 (PQKBManifestationID)11558577
 (PQKBTitleCode)TC0000962925
 (PQKBWorkID)10980110
 (PQKB)11063923
 (DEHe213)9781461463337
 (MiAaPQ)EBC1106484
 (EXLCZ)992670000000399060
 Label
 The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics, by Thomas Hawkins, (electronic resource)
 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 CayleyHermite 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
 10.1007/9781461463337
 Specific material designation
 remote
 System control number

 (CKB)2670000000399060
 (EBL)1106484
 (OCoLC)854969970
 (SSID)ssj0000962925
 (PQKBManifestationID)11558577
 (PQKBTitleCode)TC0000962925
 (PQKBWorkID)10980110
 (PQKB)11063923
 (DEHe213)9781461463337
 (MiAaPQ)EBC1106484
 (EXLCZ)992670000000399060
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