"Learning abstract algebra is not hard. It is not like getting to know the deep forest - its trails, streams, lakes, flora, and fauna. It takes time, effort, and a willingness to venture into new territory, It is a task that cannot be done overnight. But with a good guide (this book!), it should be an exciting excursion with, perhaps, only a few bumps along the way. Students - even students who have done very well in calculus - often have trouble with abstract algebra. Our objective in writing this book is to make abstract algebra as accessible as elementary calculus and, we hope, a real joy to study. Our textbook has three advantages over the standard abstract algebra textbook. First, it covers all the foundational concepts needed for abstract algebra (the only prerequisite for this book is high school algebra). Second, it is easier to read and understand (so it is ideal for self-learners). Third, it gets the reader to think mathematically and to do mathematics - to experiment, make conjectures, and prove theorems - while reading the book. The result is not only a better learning experience but also a more enjoyable one" -- from back cover.
Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
[1928] Krull, W., Primidealketten in allgemeinen Ringbereichen, Sitz. Heidelberg Akad. Wiss. 1928, No. 7. [1932] Krull, W., Allgemeine Bewertungstheorie, J. reine angew. Math. 167 (1932), 160–196. [1922] Kuratowski, C., Une m ́ethode d' ...
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra.
The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course.
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The...
This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra.
Treatment is verbal . 346pp . 5 % x 8 % . 60509-4 THE HISTORICAL ROOTS OF ELEMENTARY MATHEMATICS , Lucas N. H. Bunt , Phillip S. Jones , and Jack D. Bedient . Fundamental underpinnings of modern arithmetic , algebra , geometry and ...
This book does nothing less than provide an account of the intellectual lineage of abstract algebra.
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract ...
The present volume completes the series of texts on algebra which the author began more than ten years ago.