Hawkins, Thomas 1938
Overview
Works:  12 works in 73 publications in 2 languages and 1,879 library holdings 

Genres:  History Educational films Filmed lectures Nonfiction films Filmed speeches 
Roles:  Author 
Classifications:  QA312, 517.3 
Publication Timeline
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Most widely held works by
Thomas Hawkins
Lebesgue's theory of integration : its origins and development by
Thomas Hawkins(
Book
)
44 editions published between 1970 and 2002 in English and held by 1,016 WorldCat member libraries worldwide
In this book, Hawkins places Lebesgue's early work on integration theory within in proper historical context by relating it to the developments during the nineteenth century that motivated it and gave it significance and also to the contributions made inthis field by Lebesgue's contemporaries
44 editions published between 1970 and 2002 in English and held by 1,016 WorldCat member libraries worldwide
In this book, Hawkins places Lebesgue's early work on integration theory within in proper historical context by relating it to the developments during the nineteenth century that motivated it and gave it significance and also to the contributions made inthis field by Lebesgue's contemporaries
Emergence of the theory of Lie groups : an essay in the history of mathematics, 18691926 by
Thomas Hawkins(
Book
)
14 editions published in 2000 in English and held by 485 WorldCat member libraries worldwide
Written by the recipient of the 1997 MAA Chauvenet Prize for mathematical exposition, this book tells how the theory of Lie groups emerged from a fascinating cross fertilization of many strains of 19th and early 20th century geometry, analysis, mathematical physics, algebra and topology. The reader will meet a host of mathematicians from the period and become acquainted with the major mathematical schools. The first part describes the geometrical and analytical considerations that initiated the theory at the hands of the Norwegian mathematician, Sophus Lie. The main figure in the second part is Weierstrass'student Wilhelm Killing, whose interest in the foundations of nonEuclidean geometry led to his discovery of almost all the central concepts and theorems on the structure and classification of semisimple Lie algebras. The scene then shifts to the Paris mathematical community and Elie Cartans work on the representation of Lie algebras. The final part describes the influential, unifying contributions of Hermann Weyl and their context: Hilberts Göttingen, general relativity and the FrobeniusSchur theory of characters. The book is written with the conviction that mathematical understanding is deepened by familiarity with underlying motivations and the less formal, more intuitive manner of original conception. The human side of the story is evoked through extensive use of correspondence between mathematicians. The book should prove enlightening to a broad range of readers, including prospective students of Lie theory, mathematicians, physicists and historians and philosophers of science
14 editions published in 2000 in English and held by 485 WorldCat member libraries worldwide
Written by the recipient of the 1997 MAA Chauvenet Prize for mathematical exposition, this book tells how the theory of Lie groups emerged from a fascinating cross fertilization of many strains of 19th and early 20th century geometry, analysis, mathematical physics, algebra and topology. The reader will meet a host of mathematicians from the period and become acquainted with the major mathematical schools. The first part describes the geometrical and analytical considerations that initiated the theory at the hands of the Norwegian mathematician, Sophus Lie. The main figure in the second part is Weierstrass'student Wilhelm Killing, whose interest in the foundations of nonEuclidean geometry led to his discovery of almost all the central concepts and theorems on the structure and classification of semisimple Lie algebras. The scene then shifts to the Paris mathematical community and Elie Cartans work on the representation of Lie algebras. The final part describes the influential, unifying contributions of Hermann Weyl and their context: Hilberts Göttingen, general relativity and the FrobeniusSchur theory of characters. The book is written with the conviction that mathematical understanding is deepened by familiarity with underlying motivations and the less formal, more intuitive manner of original conception. The human side of the story is evoked through extensive use of correspondence between mathematicians. The book should prove enlightening to a broad range of readers, including prospective students of Lie theory, mathematicians, physicists and historians and philosophers of science
The mathematics of Frobenius in context : a journey through 18th to 20th century mathematics by
Thomas Hawkins(
)
4 editions published in 2013 in English and held by 344 WorldCat member libraries worldwide
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
4 editions published in 2013 in English and held by 344 WorldCat member libraries worldwide
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
Episodes in the origins of the representation theory of lie algebras by
Thomas Hawkins(
Visual
)
3 editions published between 1986 and 2009 in English and held by 26 WorldCat member libraries worldwide
Traces the historical thread of nineteenth century mathematical ideas that led to the development of lie algebras
3 editions published between 1986 and 2009 in English and held by 26 WorldCat member libraries worldwide
Traces the historical thread of nineteenth century mathematical ideas that led to the development of lie algebras
NonEuclidean geometry and Weierstrassian mathematics : the background to Killing's work on Lie algebras by
Thomas Hawkins(
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
The definitive guide to MongoDB : a complete guide to dealing with big data using MongoDB by
David Hows(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Teaching you everything you need to know to become a MongoDB pro, this authoritative guide was written for database admins and developers who need to get up to speed on MongoDB and its Big Data, NoSQL approach to dealing with data management. 
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Teaching you everything you need to know to become a MongoDB pro, this authoritative guide was written for database admins and developers who need to get up to speed on MongoDB and its Big Data, NoSQL approach to dealing with data management. 
Episodes in the origins of the representation theory of Lie algebra (videorecording) by
Thomas Hawkins(
Book
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Continued fractions and the origins of the PerronFrobenius theorem by
Thomas Hawkins(
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Frobenius and the symbolical algebra of matrices by
Thomas Hawkins(
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
The "Erlanger Programm" of Felix Klein : reflections on its place in the history of mathematics by
Thomas Hawkins(
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
Frobenius, Cartan, and the problem of Pfaff by
Thomas Hawkins(
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Frobenius, Ferdinand Georg 18491917
 Lebesgue, Henri Léon 18751941
 American Mathematical Society
 American Mathematical Society Meeting 1986 : New Orleans, La.)
 Mathematical Association of America
 Membrey, Peter
 Plugge, Eelco
 American Mathematical Society Meeting 1986 : Nova Orleans)
 Howse, Derek Author
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