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Naive Lie Theory

Af: John Stillwell Engelsk Hardback

Naive Lie Theory

Af: John Stillwell Engelsk Hardback
Tjek vores konkurrenters priser

In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'''' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra.

This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history.

John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).

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In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'''' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra.

This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history.

John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 217
ISBN-13: 9780387782140
Indbinding: Hardback
Udgave:
ISBN-10: 0387782141
Kategori: Grupper og gruppeteori
Udg. Dato: 24 jul 2008
Længde: 19mm
Bredde: 162mm
Højde: 241mm
Forlag: Springer-Verlag New York Inc.
Oplagsdato: 24 jul 2008
Forfatter(e): John Stillwell
Forfatter(e) John Stillwell

Kategori Grupper og gruppeteori

ISBN-13 9780387782140

Sprog Engelsk

Indbinding Hardback

Sider 217

Udgave

Længde 19mm

Bredde 162mm

Højde 241mm

Udg. Dato 24 jul 2008

Oplagsdato 24 jul 2008

Forlag Springer-Verlag New York Inc.

Kategori sammenhænge