The mathematics of Frobenius in context: a journey through 18th to 20th century mathematics
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2013
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| Series: | Sources and studies in the history of mathematics and physical sciences
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| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XIII, 699 S.) graph. Darst. |
| ISBN: | 9781461463320 9781461463337 |
| DOI: | 10.1007/978-1-4614-6333-7 |
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Record in the Search Index
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| adam_text | THE MATHEMATICS OF FROBENIUS IN CONTEXT
/ HAWKINS, THOMAS
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE MATHEMATICS OF FROBENIUS IN CONTEXT
/ HAWKINS, THOMAS
: 2013
ABSTRACT / INHALTSTEXT
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 MATHEMATICSIS 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)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Hawkins, Thomas 1938- |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-6333-7 |
| format | Electronic eBook |
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| spelling | Hawkins, Thomas 1938- Verfasser (DE-588)133470687 aut The mathematics of Frobenius in context a journey through 18th to 20th century mathematics Thomas Hawkins New York [u.a.] Springer 2013 1 Online-Ressource (XIII, 699 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Sources and studies in the history of mathematics and physical sciences Frobenius, Georg 1849-1917 (DE-588)119045605 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Frobenius, Georg 1849-1917 (DE-588)119045605 p Mathematik (DE-588)4037944-9 s DE-604 https://doi.org/10.1007/978-1-4614-6333-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026226334&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026226334&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Hawkins, Thomas 1938- The mathematics of Frobenius in context a journey through 18th to 20th century mathematics Frobenius, Georg 1849-1917 (DE-588)119045605 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)119045605 (DE-588)4037944-9 |
| title | The mathematics of Frobenius in context a journey through 18th to 20th century mathematics |
| title_auth | The mathematics of Frobenius in context a journey through 18th to 20th century mathematics |
| title_exact_search | The mathematics of Frobenius in context a journey through 18th to 20th century mathematics |
| title_full | The mathematics of Frobenius in context a journey through 18th to 20th century mathematics Thomas Hawkins |
| title_fullStr | The mathematics of Frobenius in context a journey through 18th to 20th century mathematics Thomas Hawkins |
| title_full_unstemmed | The mathematics of Frobenius in context a journey through 18th to 20th century mathematics Thomas Hawkins |
| title_short | The mathematics of Frobenius in context |
| title_sort | the mathematics of frobenius in context a journey through 18th to 20th century mathematics |
| title_sub | a journey through 18th to 20th century mathematics |
| topic | Frobenius, Georg 1849-1917 (DE-588)119045605 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Frobenius, Georg 1849-1917 Mathematik |
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