Fr. 69.00

Further Algebra and Applications

Inglese · Tascabile

Spedizione di solito entro 1 a 2 settimane (il titolo viene stampato sull'ordine)

Descrizione

Ulteriori informazioni

Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students.
The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as:
- groups and algebras
- homological algebra
- universal algebra
- general ring theory
- representations of finite groups
- coding theory
- languages and automata
The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

Sommario

1. Universal algebra.- 2. Homological algebra.- 3. Further group theory.- 4. Algebras.- 5. Central simple algebras.- 6. Representation theory of finite groups.- 7. Noetherian rings and polynomial identities.- 8. Rings without finiteness assumptions.- 9. Skew fields.- 10. Coding theory.- 11. Languages and automata.- List of Notations.- Author Index.

Riassunto

Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students.
The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as:
- groups and algebras
- homological algebra
- universal algebra
- general ring theory
- representations of finite groups
- coding theory
- languages and automata
The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

Testo aggiuntivo

From the reviews of the second volume of the revised edition:

"The reader is treated to the spectacle of a very fine mathematician developing many diverse branches of algebra in a direct and illuminating manner. … this volume contains a gold-mine of algebraic nuggets, each developed in a direct and economical manner highlighting the most important results. It is an invaluable source and is to be strongly recommended." (Robert Curtis, The Mathematical Gazette, Vol. 88 (512), 2004)

"The author has spent much effort at including a plentiful supply of worked concrete examples and carefully selected exercises. … it is especially the wealth of specific, non-standard topics and important applications that makes this algebra text … highly unique and valuable. … the author manages to cover a vast spectrum of concepts, methods, principles, aspects, and applications of modern algebra in a masterly style. … This introductory algebra text remains one of the very best available, all the more … in this new edition." (Werner Kleinert, Zentralblatt MATH, 1006, 2003)

Relazione

From the reviews of the second volume of the revised edition:

"The reader is treated to the spectacle of a very fine mathematician developing many diverse branches of algebra in a direct and illuminating manner. ... this volume contains a gold-mine of algebraic nuggets, each developed in a direct and economical manner highlighting the most important results. It is an invaluable source and is to be strongly recommended." (Robert Curtis, The Mathematical Gazette, Vol. 88 (512), 2004)
"The author has spent much effort at including a plentiful supply of worked concrete examples and carefully selected exercises. ... it is especially the wealth of specific, non-standard topics and important applications that makes this algebra text ... highly unique and valuable. ... the author manages to cover a vast spectrum of concepts, methods, principles, aspects, and applications of modern algebra in a masterly style. ... This introductory algebra text remains one of the very best available, all the more ... in this new edition." (Werner Kleinert, Zentralblatt MATH, 1006, 2003)

Dettagli sul prodotto

Autori Paul M Cohn, Paul M. Cohn
Editore Springer, Berlin
 
Lingue Inglese
Formato Tascabile
Pubblicazione 16.10.2013
 
EAN 9781447111207
ISBN 978-1-4471-1120-7
Pagine 451
Dimensioni 157 mm x 24 mm x 234 mm
Peso 748 g
Illustrazioni XI, 451 p.
Categorie Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra

Algebra, C, Mathematics and Statistics, Applications of Mathematics, Engineering mathematics, Applied mathematics, Field Theory and Polynomials, Field theory (Physics), Order, Lattices, Ordered Algebraic Structures, Ordered algebraic structures

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