Description

Fraleigh, J. B. This edition of the standard text for modern algebra courses, teaches students as much about groups, rings and fields as possible in a first abstract algebra course with a minimum of introductory material on set theory. New chapters on isomorphism theorems, applications of G-sets to counting, free Abelian groups, and a proof of the Jorden-Hoelder Theorem have been added. Also included are sections of group action on a set, applications to Burhside counting and the Sylow theorems, with complete proofs. ISBN 81-85015-70-8 Mathematical Analysis Apostol, T. M. A glance at the table of contents will reveal that this textbook treats topics in analysis at the advanced calculus level. The aim has been to provide a development of the subject which is honest, rigorous, up-to-date, and, at the same time, not too pedantic. This book provides a transition from elementary calculus to advanced courses in real and complex function theory, and it introduces the reader to some of the abstract thinking that pervades modern analysis. The second edition differs from the first in many respects. Point set topology is developed in the setting of general metric spaces as well as in Euclidean n-space, and two new chapters have been added on Lebesque integration. The material on line integrals, vector analysis and surface integrals has been deleted. The order of some chapters has been rearranged, many sections have been completely re-written, and several new exercises have been added. ISBN 81-85015-66-X