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9780387944845: A Concrete Introduction to Higher Algebra (Undergraduate Texts in Mathematics)
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Book by Childs Lindsay N

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Reseña del editor:
This book is written as an introduction to higher algebra for students with a background of a year of calculus. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra. The main theoretical thread is to develop algebraic properties of the ring of integers: unique factorization into primes, congruences and congruence classes, Fermat's theorem, the Chinese remainder theorem, and then again for the ring of polynomials. Concurrently with the theoretical development, the book presents a broad variety of applications, to cryptography, error-correcting codes, Latin squares, tournaments, techniques of integration and especially to elementary and computational number theory. Many of the recent advances in computational number theory are built on the mathematics which is presented in this book. Thus the book may be used as a first course in higher algebra, as originally intended, but may also serve as an introduction to modern computational number theory, or to applied algebra.
Reseña del editor:
This is an introduction to higher algebra for students with a background of a year of calculus. The book aims to give these students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra. The main theoretical thread is to develop algebraic properties of the ring of integers: unique factorization into primes; congruences and congrunce classes; Fermat's theorem; the Chinese remainder theorem; and for the ring of polynomials. Concurrently with the theoretical development, the book presents a broad variety of applications, to cryptography, error-correcting codes, Latin squares, tournaments, techniques of integration and especially to elementary and computational number theory. Many of the recent advances in computational number theory are built on the mathematics which is presented in this book. Thus the book may be used as a first course in higher algebra, as originally intended, but may also serve as an introduction to modern computational number theory, or to applied algebra.

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  • EditorialSpringer-Verlag New York Inc.
  • Año de publicación1995
  • ISBN 10 0387944842
  • ISBN 13 9780387944845
  • EncuadernaciónTapa dura
  • Número de páginas500
  • Valoración
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9780387903330: Concrete Introduction to Higher Algebra (Undergraduate Texts in Mathematics)

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Childs, Lindsay N.
Publicado por Springer (1995)
ISBN 10: 0387944842 ISBN 13: 9780387944845
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Childs, Lindsay N.
Publicado por Springer (1995)
ISBN 10: 0387944842 ISBN 13: 9780387944845
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Descripción Condición: Good. 2nd Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Nº de ref. del artículo: GRP102790447

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Lindsay N. Childs
Publicado por Springer (1995)
ISBN 10: 0387944842 ISBN 13: 9780387944845
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Descripción Condición: Good. SHIPS FROM USA. Used books have different signs of use and do not include supplemental materials such as CDs, Dvds, Access Codes, charts or any other extra material. All used books might have various degrees of writing, highliting and wear and tear and possibly be an ex-library with the usual stickers and stamps. Dust Jackets are not guaranteed and when still present, they will have various degrees of tear and damage. All images are Stock Photos, not of the actual item. book. Nº de ref. del artículo: 2-0387944842-G

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Childs, Lindsay N.:
ISBN 10: 0387944842 ISBN 13: 9780387944845
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Descripción gebundene Ausgabe. Zust: Gutes Exemplar. 522 Seiten, Deutsch 898g. Nº de ref. del artículo: 493587

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