tailieunhanh - Ebook A Concrete introduction to higher algebra (3/E): Part 1

Part 1 book “A Concrete introduction to higher algebra” has contents: Numbers, euclid’s algorithm, unique factorization, congruence, congruence classes, rings and fields, matrices and codes, fermat’s and euler’s theorems, applications of euler’s theorem, the chinese remainder theorem, and other contents. | Undergraduate Texts in Mathematics Editors: S. Axler K. Ribet Undergraduate Texts in Mathematics For other titles published in this series, go to Lindsay N. Childs A Concrete Introduction to Higher Algebra Third edition 123 Lindsay N. Childs University at Albany State University of New York Department of Mathematics 1400 Washington Avenue Albany, NY 12222 USA lc802@ Editorial Board S. Axler Mathematics Department San Francisco State University San Francisco, CA 94132 USA axler@ ISSN: 0172-6056 ISBN: 978-0-387-74527-5 DOI: . Ribet Mathematics Department University of California at Berkeley Berkeley, CA 94720 USA ribet@ e-ISBN: 978-0-387-74725-5 Library of Congress Control Number: 2008939988 Mathematics Subject Classification (2000): 12-01 c Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free .

• Toán học
• A Concrete introduction to higher algebra
• Higher algebra
• Euclid’s algorithm
• Unique factorization
• Applications of euler’s theorem
• The chinese remainder theorem
• The fundamental theorem of algebra
• Carmichael numbers
• Quadratic reciprocity