Sources and Studies in the History of Mathematics and Physical Sciences

The Mathematics of Frobenius in Context

A Journey Through 18th to 20th Century Mathematics

Authors: Hawkins, Thomas

  • Written by an expert in the field with forty years of research on the subject
  • Presented in three parts for optimal accessibility
  • Contains a detailed table of contents to guide readers to the works of greatest interest to them
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Hardcover $149.00
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  • ISBN 978-1-4614-6332-0
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Softcover $149.00
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  • ISBN 978-1-4899-8700-6
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About this book

Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.

About the authors

Thomas Hawkins won the 2001 Whiteman Prize, an AMS prize that honors notable exposition in the history of mathematics. The citation for the prize calls Hawkins "an outstanding historian of mathematics whose current research and numerous publications display the highest standards of mathematical and historical sophistication."  The citation also mentions a number of Hawkins’ works, including his book, The Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926.  "Hawkins’ work has truly transformed our understanding of how modern mathematics has evolved," the citation concludes.

Reviews

From the book reviews:

“I highly recommend Hawkins’ book. It is very mathematical all the way through. … Hawkins’ work is extraordinarily useful. It allows the mathematical community, even the great majority of us who do not read German well, to understand the work of the very important mathematician Frobenius. The great length of the book is essential to the book’s success.” (David P. Roberts, MAA Reviews, October, 2014)

“The author has succeeded admirably in describing the mathematical work of Frobenius. … this book is an excellent contribution to the mathematical literature … it is, or should be, a role model for historical writing, and for bringing the mathematics of the recent past back to life.” (Franz Lemmermeyer, zbMATH, Vol. 1281, 2014)


Table of contents (18 chapters)

  • A Berlin Education

    Hawkins, Thomas

    Pages 3-31

  • Professor at the Zurich Polytechnic: 1874–1892

    Hawkins, Thomas

    Pages 33-51

  • Berlin Professor: 1892–1917

    Hawkins, Thomas

    Pages 53-70

  • The Paradigm: Weierstrass’ Memoir of 1858

    Hawkins, Thomas

    Pages 73-113

  • Further Development of the Paradigm: 1858–1874

    Hawkins, Thomas

    Pages 115-152

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-6333-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-6332-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-8700-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematics of Frobenius in Context
Book Subtitle
A Journey Through 18th to 20th Century Mathematics
Authors
Series Title
Sources and Studies in the History of Mathematics and Physical Sciences
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6333-7
DOI
10.1007/978-1-4614-6333-7
Hardcover ISBN
978-1-4614-6332-0
Softcover ISBN
978-1-4899-8700-6
Series ISSN
2196-8810
Edition Number
1
Number of Pages
XIII, 699
Topics