Groups, rings, fields and arithmetic
著者
書誌事項
Groups, rings, fields and arithmetic
（Infosys Science Foundation series, . Infosys Science Foundation series in mathematical sciences . Algebra ; 1）
Springer, c2017
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注記
Includes bibliographical references (p. 427) and index
内容説明・目次
内容説明
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
目次
Chapter 1. Language of mathematics 1 (Logic).- Chapter 2. Language Of Mathematics 2 (Set Theory).- Chapter 3. Number System.- Chapter 4. Group Theory.- Chapter 5. Fundamental Theorems.- Chapter 6. Permutation groups and Classical Groups.- Chapter 7. Elementary Theory of Rings and Fields.- Chapter 8. Number Theory 2.- Chapter 9. Structure theory of groups.- Chapter 10. Structure theory continued.- Chapter 11. Arithmetic in Rings.
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