Basic Algebra I: Second Edition Dover Books on Mathematics
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A classic text and standard reference for a generation
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Produktdetaljer
- Comprehensive coverage of undergraduate algebra topics including set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra
- Includes rigorous topics such as Lie and Jordan algebras, lattices, and Boolean algebras
- Written by an expert algebraist with a conceptual and theoretical orientation, also serving as a valuable reference
- Volume II revisits many topics from Volume I with greater depth and sophistication
- Contains insightful, carefully explained proofs and exercises throughout the text
- A standard reference for a generation and suitable for classroom use
| Item Weight | 1 lbs (450 grams) |
Hvem bør købe?
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Beginner Students
Ideal for high school students or adults new to algebra concepts who need clear explanations and examples.
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Self-Learners
Perfect for individuals studying math independently, providing structured content and practice problems to enhance understanding.
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Teachers' Resource
Useful for educators seeking supplemental material to aid in teaching basic algebra concepts effectively.
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Advanced Learners
Not suitable for those with a strong algebra background who require more challenging material and advanced concepts.
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Basic Algebra I: Second Edition Dover Books on Mathematics
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English Edition Nathan Jacobson Format: Paperback Editorial Review
**** Dover's "Basic Algebra I: Second Edition" by Nathan Jacobson is a textbook that provides a solid grounding in abstract algebra concepts such as groups, rings, modules, and Galois theory. The book garners appreciation for its readability compared to more complex texts like "Moderne Algebra" and "Algebra" by Lang, which many readers find daunting. Jacobson's approach is less about dense academic style and more about making the content accessible, while still maintaining a high standard of mathematical rigor. The author takes a historical contextual approach at the start of each chapter, allowing readers to better appreciate the development of the concepts. While primarily aimed at undergraduate mathematics students, some reviewers caution that those outside of the mathematics discipline—such as engineering or humanities students—may struggle with its content. Despite the challenges posed by complex subject matter, readers value the Consistent notation Jacobson employs throughout, promoting a cohesive understanding of algebra and its applications. The exercises at the end of each chapter provide an opportunity for practice but lack solutions, which has proven problematic for some readers trying to solidify their understanding without additional resources. Overall, this book is both a respected reference in academic circles and a well-loved text among readers who appreciate its blend of clarity and scholarly excellence. It serves as a commendable resource for anyone looking to deepen their understanding of algebra while being wary of its potential difficulties. **
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Fordele
- Accessible writing style compared to other abstract algebra texts.
- Clear historical context provided for each topic.
- Covers a wide range of topics in abstract algebra, including Galois theory.
- Maintains Consistent notation throughout, aiding comprehension.
Ulemper
- Lack of solutions for exercises presents a challenge for learners.
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Egenskaber og fordele
- Expert algebraist who taught at Yale
- Comprehensive coverage of undergraduate topics
- In-depth treatment of rigorous topics
- Exercises and proofs included throughout
- Suitable for undergraduates and graduate students
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