Basic Algebra I
Book 1 of 2: Basic AlgebraJacobson, Nathan
Sold by Past Pages, Oshawa, ON, Canada
AbeBooks Seller since January 2, 2008
Used - Hardcover
Condition: Used - Very good
Ships from Canada to U.S.A.
Quantity: 1 available
Add to basketSold by Past Pages, Oshawa, ON, Canada
AbeBooks Seller since January 2, 2008
Condition: Used - Very good
Quantity: 1 available
Add to basketBOOK: Previous Owner Markings (Name Neatly Inked to Front Free Endpaper); Repaired; Corners, Spine Bumped; Light Shelf Rub to Boards; Boards, Edges Lightly Soiled; Slight Yellowing Due to Age. DUST JACKET: None, As Issued. CONTENTS: Preface; Introduction: Concepts from Set Theory. The Integers 1; 1 Monoids and Groups 2 Rings 3 Modules Over a Principal Ideal Domain 4 Galois Theory of Equations 5 Real Polynomial Equations and Inequalities 6 Metric Vector Spaces and the Classical Groups 7 Algebras Over a Field 8 Lattices and Boolean Algebras; Index. EXCERPT: Preface .The present book, Basic Algebra I, and the forthcoming Basic Algebra II were originally envisioned as new editions of our Lectures in Abstract Algebra (1951, 1953, and 1964 respectively). However, as we began to think about the task at hand, particularly that of taking into account the changed curricula in our undergraduate and graduate schools, we decided to organize the material in a manner quite different from that of our earlier books: a separation into two levels of abstraction, the first--treated in this volume--to encompass those parts of algebra which can be most readily appreciated by the beginning student. Much of the material which we present here has a classical flavor. It is hoped that this will foster an appreciation of the great contributions of the past and especially of the mathematics of the nineteenth century. In our treatment we have tried to make use of the most efficient modern tools. This has necessitated the development of a substantial body of foundational material of the sort that has become standard in text books on abstract algebra. However, we have tried throughout to bring to the fore well-defined objectives which we believe will prove appealing even to a student with little background in algebra. On the other hand, the topics considered are probed to a depth that often goes considerably beyond what is customary, and this will at times be quite demanding of talent and concentration on the part of the student. In our second volume we plan to follow a more traditional course in presenting material of a more abstract and sophisticated nature. It is hoped that after the study of the first volume a student will have achieved a level of maturity that will enable him to take in stride the level of abstraction of the second volume. Size: 8vo - over 7¾" - 9¾" tall.
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