Artículos relacionados a Introduction to Algebra
Sinopsis
The book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students meet, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, as students gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, an outline of universal algebra, lattices and categories) and to applications such as Galois theory and coding theory. There is also a chapter outlining the construction of the number systems from scratch and proving in three different ways that transcendental numbers exist.
"Sinopsis" puede pertenecer a otra edición de este libro.
Críticas
"Cameron goes somewhat against conventional wisdom by choosing rings over groups as the primary algebraic structure of study. This choice allows an introduction to the ideas of abstract algebra in a setting most students will find a bit more familiar and comfortable. After the obligatory chapter reviewing some of the basics of sets, functions, and logic, Cameron introduces the essentials of rings and fields and then the standard first topics in group theory. . . . Subsequent chapters provide ample opportunity to delve into less traditional and/or more advanced topics. . . . This book will support a very rigorous first course in abstract algebra and contains more than enough material to fill up a two-semester course. Upper-division undergraduate and graduate students."--Choice "This book contains more information than can be covered in a year-long algebra course, which allows for flexibility in its use. . . . Cameron's writing style is very enjoyable and reader-friendly. He uses entertaining verbs such as 'whittle' and 'blur' and gives many examples throughout the book. Modern and up-to-date analogies help students relate to concepts . . . Connections between concepts are emphasized. The use of certain terminology and notation is explained, and differences in notation are pointed out. . . . Even though the text is reader-friendly, a high level of rigor is maintained. Kernels are first defined as equivalence relations, polynomials are defined as infinite sequences, and three different proofs of the existence of transcendental numbers are given. . . . Cameron's book also includes some interesting mathematical folklore, which piques the interest of many students."--American Mathematical Monthly "Cameron goes somewhat against conventional wisdom by choosing rings over groups as the primary algebraic structure of study. This choice allows an introduction to the ideas of abstract algebra in a setting most students will find a bit more familiar and comfortable. After the obligatory chapter reviewing some of the basics of sets, functions, and logic, Cameron introduces the essentials of rings and fields and then the standard first topics in group theory. . . . Subsequent chapters provide ample opportunity to delve into less traditional and/or more advanced topics. . . . This book will support a very rigorous first course in abstract algebra and contains more than enough material to fill up a two-semester course. Upper-division undergraduate and graduate students."--Choice "This book contains more information than can be covered in a year-long algebra course, which allows for flexibility in its use. . . . Cameron's writing style is very enjoyable and reader-friendly. He uses entertaining verbs such as 'whittle' and 'blur' and gives many examples throughout the book. Modern and up-to-date analogies help students relate to concepts . . . Connections between concepts are emphasized. The use of certain terminology and notation is explained, and differences in notation are pointed out. . . . Even though the text is reader-friendly, a high level of rigor is maintained. Kernels are first defined as equivalence relations, polynomials are defined as infinite sequences, and three different proofs of the existence of transcendental numbers are given. . . . Cameron's book also includes some interesting mathematical folklore, which piques the interest of many students."--AmericanMathematical Monthly "Cameron goes somewhat against conventional wisdom by choosing rings over groups as the primary algebraic structure of study. This choice allows an introduction to the ideas of abstract algebra in a setting most students will find a bit more familiar and comfortable. After the obligatory chapter reviewing some of the basics of sets, functions, and logic, Cameron introduces the essentials of rings and fields and then the standard first topics in group theory. . . . Subsequent chapters provide ample opportunity to delve into less traditional and/or more advanced topics. . . . This book will support a very rigorous first course in abstract algebra and contains more than enough material to fill up a two-semester course. Upper-division undergraduate and graduate students."--Choice "This book contains more information than can be covered in a year-long algebra course, which allows for flexibility in its use. . . . Cameron's writing style is very enjoyable and reader-friendly. He uses entertaining verbs such as 'whittle' and 'blur' and gives many examples throughout the book. Modern and up-to-date analogies help students relate to concepts . . . Connections between concepts are emphasized. The use of certain terminology and notation is explained, and differences in notation are pointed out. . . . Even though the text is reader-friendly, a high level of rigor is maintained. Kernels are first defined as equivalence relations, polynomials are defined as infinite sequences, and three different proofs of the existence of transcendental numbers are given. . . . Cameron's book also includes some interesting mathematical folklore, which piques theinterest of many students."--American Mathematical Monthly "Cameron goes somewhat against conventional wisdom by choosing rings over groups as the primary algebraic structure of study. This choice allows an introduction to the ideas of abstract algebra in a setting most students will find a bit more familiar and comfortable. After the obligatory chapter reviewing some of the basics of sets, functions, and logic, Cameron introduces the essentials of rings and fields and then the standard first topics in group theory. . . . Subsequent chapters provide ample opportunity to delve into less traditional and/or more advanced topics. . . . This book will support a very rigorous first course in abstract algebra and contains more than enough material to fill up a two-semester course. Upper-division undergraduate and graduate students."--Choice "This book contains more information than can be covered in a year-long algebra course, which allows for flexibility in its use. . . . Cameron's writing style is very enjoyable and reader-friendly. He uses entertaining verbs such as 'whittle' and 'blur' and gives many examples throughout the book. Modern and up-to-date analogies help students relate to concepts . . . Connections between concepts are emphasized. The use of certain terminology and notation is explained, and differences in notation are pointed out. . . . Even though the text is reader-friendly, a high level of rigor is maintained. Kernels are first defined as equivalence relations, polynomials are defined as infinite sequences, and three different proofs of the existence of transcendental numbers are given. . . . Cameron's book also includes some interesting mathematical folklore, which piques the interest ofmany students."--American Mathematical Monthly
Reseña del editor
The book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students meet, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, as students gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, an outline of universal algebra, lattices and categories) and to applications such as Galois theory and coding theory. There is also a chapter outlining the construction of the number systems from scratch and proving in three different ways that transcendental numbers exist.
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Introduction to Algebra
Publicado por
Oxford University Press, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
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Librería: WorldofBooks, Goring-By-Sea, WS, Reino Unido
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Paperback. Condición: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Nº de ref. del artículo: GOR003091949
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Introduction to Algebra
Publicado por
Oxford University Press, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
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Librería: Anybook.com, Lincoln, Reino Unido
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Condición: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780198501947. Nº de ref. del artículo: 9978241
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Introduction to Algebra
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Oxford University Press, 2003
ISBN 10: 0198501943
ISBN 13: 9780198501947
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Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780198501947. Nº de ref. del artículo: 9892459
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Introduction to Algebra
Publicado por
Oxford University Press, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
Antiguo o usado
Tapa blanda
Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9780198501947. Nº de ref. del artículo: 9986568
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Introduction to Algebra
Publicado por
Oxford University Press, 2004
ISBN 10: 0198501943
ISBN 13: 9780198501947
Antiguo o usado
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Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780198501947. Nº de ref. del artículo: 9978240
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Introduction to Algebra
Publicado por
Oxford University Press, USA, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
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Paperback. Condición: Very Good. No Jacket. Former library book; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.1. Nº de ref. del artículo: G0198501943I4N10
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Introduction to Algebra
Publicado por
Oxford University Press, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
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Paperback. Condición: Fair. No Jacket. Former library book; Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less 1.1. Nº de ref. del artículo: G0198501943I5N10
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Introduction to Algebra
Publicado por
Oxford University Press, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
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Paperback
Librería: WorldofBooks, Goring-By-Sea, WS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Good. The book has been read but remains in clean condition. All pages are intact and the cover is intact. Some minor wear to the spine. Nº de ref. del artículo: GOR005144661
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Introduction to Algebra
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Oxford University Press, Incorporated, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
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Introduction to Algebra
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Oxford University Press, Oxford, 1998
ISBN 10: 0198501943
ISBN 13: 9780198501947
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