Symmetry, Representations, and Invariants (Graduate Texts in Mathematics)

0 valoración promedio
( 0 valoraciones por Goodreads )
 
9780387798516: Symmetry, Representations, and Invariants (Graduate Texts in Mathematics)

Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications.

The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case.

Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work.

"Sinopsis" puede pertenecer a otra edición de este libro.

About the Author:

Dr. Roe Goodman has been a professor for 45 years, and is currently a professor at Rutgers University. He as travelled internationally as a visiting professor to numerous prestigious universities. He has authored two books, and co-authored the previous highly successful version of this book. He has edited two books, and has published over 30 articles in refereed journals.

Dr. Nolan R. Wallach has been a professor since 1966, and is currently a professor at the University of California, San Diego. He has authored or co-authored over 100 publications. In 1992, he was the Chair of the Editorial Boards Committee of the American Mathematical Society. He has been an editor of Birkhäuser's series, Mathematics: Theory and Applications, since 2001. In addition to numerous other prizes, recognitions and professional organization affiliations, in 2004 he became and Elected Fellow of the American Academy of Arts and Sciences.

 

Review:

From the reviews:

"This is a terrific book, succeeding in its considerable ambitions, and doing so in the remarkable style ... . Symmetry, Representations, and Invariants is indeed capable of instructing the reader in the three themes given in its title, taking him from elementary and foundational notions to very advanced material ... . Symmetry, Representations, and Invariants promises to be a graduate text of major importance." (Michael Berg, The Mathematical Association of America, August, 2009)

“The book under review is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups. ... can be used as a source for various kinds of courses. ... supported by the rich collections of exercises (mostly with detailed hints for solutions) accompanying each section. Local reading is well supported by the structure of the book. The book can be recommended for a ... wide audience of readers: for graduate and postgraduate students as well as for researchers as a reference work.” (Sergei Platonov, Zentralblatt MATH, Vol. 1173, 2009)

“The book under review is a substantial rewriting and extension of the authors’ previous work ‘Representations and Invariants of the Classical Groups’. It is a thorough and comprehensive treatment of the geometry of Lie and algebraic group actions. ... More than 350 exercises are presented. This monograph is written with great care and provides an excellent basis for a variety of courses from this field.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 163 (1), May, 2011)

“The book will serve as a useful reference for a broad range of mathematicians, as well as physicists seeking a rigorous, systematic development of the representation theory underlying much of modern quantum mechanics. Detailed and careful statements of definitions, theorems, and proofs are provided, as well as over 350 exercises, many of them substantial. ... can be used as the basis for graduate-level courses in Lie groups and algebraic groups, representation theory, invariant theory, and a variety of applications.” (Peter J. Olver, SIAM Review, Vol. 53 (3), 2011)

“This volume is clearly a labour of love on the part of the authors, who have obviously thought very carefully about the best way to explain and motivate this often sophisticated material. ... The authors have taken great pains to make this book a textbook as well as a useful reference. ... It should be in the library of every university with a graduate mathematics program, as well as on the shelf of every lecturer teaching, or with research interests in, the material covered here.” (Mark Hunacek, The Mathematical Gazette, Vol. 96 (536), July, 2012)

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro

Gastos de envío: EUR 3,34
De Reino Unido a Estados Unidos de America

Destinos, gastos y plazos de envío

Añadir al carrito

Los mejores resultados en AbeBooks

1.

Roe Goodman, Nolan R. Wallach
Editorial: Springer New York 2009-06-16, New York |London (2009)
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 10
Librería
Blackwell's
(Oxford, OX, Reino Unido)
Valoración
[?]

Descripción Springer New York 2009-06-16, New York |London, 2009. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387798516

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 24,89
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,34
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

2.

Roe Goodman; Nolan R. Wallach
Editorial: Springer (2009)
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 1
Impresión bajo demanda
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración
[?]

Descripción Springer, 2009. Hardcover. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería SONG038779851X

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 32,39
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,42
A Estados Unidos de America
Destinos, gastos y plazos de envío

3.

Roe Goodman; Nolan R. Wallach
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Cantidad: 2
Librería
BWB
(Valley Stream, NY, Estados Unidos de America)
Valoración
[?]

Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97803877985160000000

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 45,05
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

4.

Roe Goodman, Nolan R. Wallach
Editorial: Springer (2009)
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 1
Impresión bajo demanda
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración
[?]

Descripción Springer, 2009. Hardcover. Estado de conservación: New. 2009. This item is printed on demand. Nº de ref. de la librería DADAX038779851X

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 41,82
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,42
A Estados Unidos de America
Destinos, gastos y plazos de envío

5.

Roe Goodman, Nolan R. Wallach
Editorial: Springer-Verlag New York Inc.
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 3
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
Valoración
[?]

Descripción Springer-Verlag New York Inc. Hardback. Estado de conservación: new. BRAND NEW, Symmetry, Representations, and Invariants (2nd Revised edition), Roe Goodman, Nolan R. Wallach, Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work. Nº de ref. de la librería B9780387798516

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 50,78
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 7,74
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

6.

Goodman, Roe, Wallach, Nolan R.
Editorial: Springer (2009)
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 1
Librería
Valoración
[?]

Descripción Springer, 2009. Estado de conservación: New. 2009. 2009th Edition. Hardcover. . . . . . . Nº de ref. de la librería V9780387798516

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 59,56
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Irlanda a Estados Unidos de America
Destinos, gastos y plazos de envío

7.

Roe Goodman, Nolan R. Wallach
Editorial: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 1
Librería
The Book Depository
(London, Reino Unido)
Valoración
[?]

Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd Revised edition. Language: English . Brand New Book. Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work. Nº de ref. de la librería AAU9780387798516

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 59,60
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

8.

Roe Goodman, Nolan R. Wallach
Editorial: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 1
Librería
The Book Depository US
(London, Reino Unido)
Valoración
[?]

Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd Revised edition. Language: English . Brand New Book. Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work. Nº de ref. de la librería AAU9780387798516

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 59,69
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

9.

Goodman, Roe, Wallach, Nolan R.
Editorial: Springer
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Tapa dura Cantidad: 1
Librería
Kennys Bookstore
(Olney, MD, Estados Unidos de America)
Valoración
[?]

Descripción Springer. Estado de conservación: New. 2009. 2009th Edition. Hardcover. . . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780387798516

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 62,80
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

10.

Roe Goodman
Editorial: Springer-Verlag New York Inc. (2009)
ISBN 10: 038779851X ISBN 13: 9780387798516
Nuevos Cantidad: > 20
Impresión bajo demanda
Librería
Pbshop
(Wood Dale, IL, Estados Unidos de America)
Valoración
[?]

Descripción Springer-Verlag New York Inc., 2009. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780387798516

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 60,57
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,42
A Estados Unidos de America
Destinos, gastos y plazos de envío

Existen otras copia(s) de este libro

Ver todos los resultados de su búsqueda