The Mathematics of Frobenius in Context: A Journey Through 18th to 20th Century Mathematics (Sources and Studies in the History of Mathematics and Physical Sciences)

0 avg rating
( 0 ratings by Goodreads )
 
9781461463320: The Mathematics of Frobenius in Context: A Journey Through 18th to 20th Century Mathematics (Sources and Studies in the History of Mathematics and Physical Sciences)
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

From the Back Cover:

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).

About the Author:

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.

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 159.00
US$ 141.25

Convert Currency

Shipping: US$ 3.99
Within U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Thomas Hawkins
Published by Springer-Verlag New York Inc. (2013)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag New York Inc., 2013. HRD. Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IP-9781461463320

More information about this seller | Contact this seller

Buy New
US$ 141.25
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

Thomas Hawkins
Published by Springer-Verlag New York Inc., United States (2013)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Hardcover Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2013. Hardback. Condition: New. 2013 ed.. Language: English . Brand New 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. Seller Inventory # LIB9781461463320

More information about this seller | Contact this seller

Buy New
US$ 149.20
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Hawkins, Thomas
Published by Springer (2016)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9781461463320_lsuk

More information about this seller | Contact this seller

Buy New
US$ 146.32
Convert Currency

Add to Basket

Shipping: US$ 5.37
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Thomas Hawkins
Published by Springer-Verlag New York Inc., United States (2013)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2013. Hardback. Condition: New. 2013 ed.. Language: English . Brand New 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. Seller Inventory # LIB9781461463320

More information about this seller | Contact this seller

Buy New
US$ 152.29
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

THOMAS HAWKINS
Published by Springer (2013)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Hardcover Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 2013. Hardback. Condition: NEW. 9781461463320 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0305663

More information about this seller | Contact this seller

Buy New
US$ 163.90
Convert Currency

Add to Basket

Shipping: US$ 11.13
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Hawkins, Thomas
Published by Springer
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Hardcover Quantity Available: 1
Seller:
Ohmsoft LLC
(Lake Forest, IL, U.S.A.)
Rating
[?]

Book Description Springer. Condition: New. Hardcover. Worldwide shipping. FREE fast shipping inside USA (express 2-3 day delivery also available). Tracking service included. Ships from United States of America. Seller Inventory # 1461463327

More information about this seller | Contact this seller

Buy New
US$ 176.59
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

7.

Thomas Hawkins
Published by Springer New York 2013-07-23, New York (2013)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Hardcover Quantity Available: > 20
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Springer New York 2013-07-23, New York, 2013. hardback. Condition: New. Seller Inventory # 9781461463320

More information about this seller | Contact this seller

Buy New
US$ 169.05
Convert Currency

Add to Basket

Shipping: US$ 8.35
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Thomas Hawkins
Published by Springer 2013-08-05 (2013)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Quantity Available: 3
Seller:
Chiron Media
(Wallingford, United Kingdom)
Rating
[?]

Book Description Springer 2013-08-05, 2013. Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Seller Inventory # NU-LBR-01208496

More information about this seller | Contact this seller

Buy New
US$ 171.94
Convert Currency

Add to Basket

Shipping: US$ 5.55
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Hawkins, Thomas
Published by Springer (2018)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Hardcover Quantity Available: > 20
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2018. Hardcover. Condition: New. Never used! This item is printed on demand. Seller Inventory # 1461463327

More information about this seller | Contact this seller

Buy New
US$ 180.65
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

10.

Thomas Hawkins
Published by Springer (2013)
ISBN 10: 1461463327 ISBN 13: 9781461463320
New Hardcover Quantity Available: 1
Seller:
Rating
[?]

Book Description Springer, 2013. Condition: New. Seller Inventory # L9781461463320

More information about this seller | Contact this seller

Buy New
US$ 179.42
Convert Currency

Add to Basket

Shipping: US$ 3.67
From Germany to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book