A Concrete Introduction to Higher Algebra

Lindsay N. Childs

ISBN 10: 1441925619 ISBN 13: 9781441925619
Verlag: Springer, 2010
Neu Taschenbuch

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Beschreibung

Beschreibung:

A Concrete Introduction to Higher Algebra | Lindsay N. Childs | Taschenbuch | xiv | Englisch | 2010 | Springer | EAN 9781441925619 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 107181740

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Inhaltsangabe:

This book is written as an introduction to higher algebra for students with a background of a year of calculus. It has been used as a successful undergraduate text for more than 20 years. 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. New sections on Luhn's formula, Cosets and equations, and detaching coefficients are included. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are found throughout the book; hints and answers for many of them are included in an appendix.

Über die Autorin bzw. den Autor: Lindsay N. Childs is Professor Emeritus at the University of Albany where he earned recognition as a much-loved mentor of students, and as an expert in Galois field theory. Capping his tenure at Albany, he was named a Collins Fellow for his extraordinary devotion to the University at Albany and the people in it over a sustained period of time. Post University of Albany, Professor Childs has taught a sequence of online courses whose content evolved into this book. Lindsay Childs is author of A Concrete Introduction to Higher Algebra, published in Springer's Undergraduate Texts in Mathematics series, as well as a monograph, Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory (American Mathematical Society), and more than 60 research publications in abstract algebra.

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Bibliografische Details

Titel: A Concrete Introduction to Higher Algebra
Verlag: Springer
Erscheinungsdatum: 2010
Einband: Taschenbuch
Zustand: Neu

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