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A First Course in Rings and Ideals by David M. Burton
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**About this book :- **
**A First Course in Rings and Ideals ** written by
** David M. Burton **

As the title suggests, this volume is designed to 'serve as an introduction to the basic ideas and techniques of ring theory; it is intended to be an expository textbook, rather than a treatise on the subject. Thé,mathematical background required for a proper understanding of the coi1tents i~ not extensive. We assume that the average reader 4as had SbITle prior contact with' abstract algebra, but is stíll relatively inexperienced";in this respect. In consequence, nearly everything herein can be read by a person familiar with basic group-theoretic concepts and having a nodding acquaintance with linear algebra; .

The level of material should p'rove suitable-for advanced undergraduates and beginning graduate students. Indeed, a built-in flexibility perrnits the book to be used, either as the basic text or to be read independently by interested students, in a variety of situations.

(David M. Burton)

**Book Detail :- **
** Title: ** A First Course in Rings and Ideals
** Edition: **
** Author(s): ** David M. Burton
** Publisher: ** Addison-Wesley
** Series: **
** Year: ** 1970
** Pages: ** 320
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-0201007312
** Country: ** US

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**About Author :- **

Author ** David M. Burton ** received his B.A. from Clark University and his M.A. and Ph.D. degrees from the University of Rochester. He joined the faculty of the University of New Hampshire, where he is now Professor Emeritus of Mathematics, in 1959. His teaching experience also includes a year at Yale University, numerous summer institutes for high school teachers, and presentations at meetings of high school teachers’ organizations. Professor Burton is also the author of The History of Mathematics: An Introduction (McGraw-Hill, Seventh edition, 2009) and five textbooks on abstract and linear algebra.

**All Famous Books of this Author :- **

Here is list all books/editions avaliable of this author, We recomended you to download all.
** • Download PDF Introduction to Abstract Mathematical Systems by David M. Burton **

** • Download PDF Introduction to Modern Abstract Algebra by David M. Burton **

** • Download PDF A First Course in Rings and Ideals by David M. Burton **

** • Download PDF Elementary Number Theory (7E) by David M. Burton **

** • Download PDF The History of Mathematics (6E) by David M. Burton **

** • Download PDF The History of Mathematics (7E) by David M. Burton **

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**Book Contents :- **
**A First Course in Rings and Ideals ** written by
** David M. Burton **
cover the following topics.

1. Introductory Concepts

2. Ideals and Their Operations

3. The Classical Isomorphism Theorems

4. Integral Domains and Fields

5. Maximal, Prime, and Primary Ideals

6. Divisibility Theory in Integral Domains

7. PolynomiaI Rings

8. Certain Radicals of a Ring

9. Two Classic Theorems

10. Direct Sums of Rings

11. Rings with Chain Conditions

12. Further Results on Noetherian Rings

13. Some Noncommutative Theory

Appendix A Relations

Appendix B Zorn's Lernma

Bibliography

Appendix C Index Special Symbols

Index

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