Screen LibraryAlgebra 1 : Groups, Rings, Fields and Arithmetic /
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 stu...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Springer Singapore : Imprint: Springer,
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| Publisher Address: | Singapore : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Infosys Science Foundation Series,
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| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-981-10-4253-9 |
| Summary: |
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. |
| Carrier Form: | 1 online resource (XVII, 307 pages). |
| ISBN: | 9789811042539 |
| Index Number: | QA174 |
| CLC: | O152 |
| Contents: | 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. |