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Item #:
33999031
Algebra (Cambridge Mathematical Textbooks)
Item #:
33999031
CVE 5100
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What Stands Out
Comprehensive Coverage
This textbook offers in-depth explanations of algebraic concepts, catering to both beginners and advanced learners, making it an ideal resource for students and educators alike.
Real-World Applications
The book includes practical examples and exercises that demonstrate the relevance of algebra in everyday situations, enhancing understanding and retention for readers.
Structured Learning
Featuring a clear and organized layout, this textbook allows for progressive learning, guiding students through complex topics systematically for optimal comprehension.
Product Details
- From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional path. The text emphasizes a modern perspective on the subject, with gentle mentions of the unifying categorical principles underlying the various constructions and the role of universal properties. A key feature is the treatment of modules, including a proof of the classification theorem for finitely generated modules over Euclidean domains. Noetherian modules and some of the language of exact complexes are introduced. In addition, standard topics - such as the Chinese Remainder Theorem, the Gauss Lemma, the Sylow Theorems, simplicity of alternating groups, standard results on field extensions, and the Fundamental Theorem of Galois Theory - are all treated in detail. Students will appreciate the text's conversational style, 400+ exercises, an appendix with complete solutions to around 150 of the main text problems, and an appendix with general background on basic logic and naïve set theory.
| Publisher | Cambridge University Press |
| Publication date | June 3, 2021 |
| Edition | 1st |
| Language | English |
| Print length | 488 pages |
| ISBN-10 | 1108958230 |
| ISBN-13 | 978-1108958233 |
| Item Weight | 1.85 pounds (840 grams) |
| Dimensions | 6.69 x 1.1 x 9.61 inches (17 x 2.8 x 24.4 cm) |
| Part of series | Cambridge Mathematical Textbooks |
Who Should Buy?
-
Undergraduate Students
Ideal for undergraduate students seeking a solid foundation in algebra concepts and techniques for advanced studies.
-
Educators and Teachers
Useful for educators who are looking for a comprehensive textbook to teach algebra in an academic setting.
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Self-Learners
Great resource for individuals motivated to learn algebra independently with structured material and exercises.
-
Beginners in Math
Not suitable for complete beginners lacking basic mathematical knowledge or foundations to build upon.
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Algebra Editorial Review
Algebra Cambridge Mathematical Textbooks is a meticulously crafted resource published by Cambridge University Press on June 3, 2021. This 1st edition offers a comprehensive approach to algebra, spanning 488 pages that are rich in content and insights. With dimensions of 6.69 x 1.1 x 9.61 inches and a weight of 1.85 pounds, it is designed for both ease of handling and robust academic engagement. This textbook stands as part of the esteemed Cambridge Mathematical Textbooks series, making it a reliable reference for students and educators alike. Users have praised its clear explanations and rigorous approach, establishing it as a valuable addition to any mathematical curriculum.
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Pros
- Comprehensive algebra coverage for students
- Clear explanations enhance understanding
- Part of a respected series
- High-quality publication by Cambridge University Press
- Ideal for both classroom and self-study
Cons
- May not cover advanced topics extensively
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