Theory of continuous groups. Notes by Harley Flanders and Murray H. Protter.
Language: English
Published by MIT Press, [1971]., Cambridge, MA:, 1971
- First Edition
- Hardcover
- Used
Seller: Zephyr Used & Rare Books, Vancouver, WA, U.S.A.Zephyr Used & Rare Books
AbeBooks seller since June 24, 1997
Condition: Used
US$ 18.50
Quantity: 1 available
Add to basketItem description from seller
Tall 8vo. ix, [3], 110 pp. Orange cloth, silver lettrng (ownrshp stmps on title, half-title, dmpstng to hd of spine), w/ d.j. (clsd tear on spine, tidemrk to hd of spine, fore-edges, edgewear), reference copy from library of mathematician & physicist, John A. Simmons. First edition of this work on possible applications of continuous groups in geometry and analysis.
Seller Inventory # 36407
- Title
- Theory of continuous groups. Notes by Harley Flanders and Murray H. Protter.
- Author
- LOEWNER, Charles.
- Publisher
- MIT Press, [1971]., Cambridge, MA:
- Publication year
- 1971
- Dust jacket
- Dust Jacket Included
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0262060418
- ISBN 13
- 9780262060417
- Edition
- 1st Edition
- Seller catalogs
- Mathematics
Loewner became interested in continuous groupsparticularly with respect to possible applications in geometry and analysiswhen he studied the three volume work on transformation groups by Sophus Lie. He managed to reconstruct a coherent development of the subject by synthesizing Lie's numerous illustrative examples, many of which appeared only as footnotes. The examples contained in this book are primarily geometric in character and reflect the unique way in which Loewner viewed each of the topics he treated.
This book is part of the series Mathematicians of Our Time, edited by Professor Gian-Carlo Rota, Department of Mathematics, Massachusetts Institute of Technology.
Contents: Transformation Groups; Similarity; Representations of Groups; Combinations of Representations; Similarity and Reducibility; Representations of Cyclic Groups; Representations of Finite Abelian Groups; Representations of Finite Groups; Characters; Introduction to Differentiable Manifolds; Tensor Calculus on a Manifold; Quantities, Vectors, Tensors; Generation of Quantities by Differentiation; Commutator of Two Covariant Vector Fields; Hurwitz Integration on a Group Manifold; Representation of Compact Groups; Existence of Representations; Characters; Examples; Lie Groups; Infinitesimal Transformation on a Manifold; Infinitesimal Transformations on a Group; Examples; Geometry on the Group Space; Parallelism; First Fundamental Theorem of Lie Groups; Mayer-Lie Systems; The Sufficiency Proof; First Fundamental Theorem, Converse; Second Fundamental Theorem, Converse; Concept of Group Germ; Converse of the Third Fundamental Theorem; The Helmholtz-Lie Problem.
"Synopsis" may belong to another edition of this title.
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