Item #:
168209483
Basic Algebra I: Second Edition Dover Books on Mathematics
86% of respondents would recommend this to a friend
Item #:
168209483
DOP 2418
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What Stands Out
Comprehensive Coverage
This edition provides extensive coverage of fundamental algebra concepts, ensuring a solid foundation for students and self-learners alike.
Illustrated Format
Featuring illustrations, this paperback enhances understanding of complex algebraic concepts, making it easier to grasp the material effectively.
Affordable Resource
As part of the Dover Books series, this title offers an accessible price point, providing quality education at a value for budget-conscious learners.
Product Details
- A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to their value as classroom texts, they serve as valuable references.Volume I explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. Its comprehensive treatment extends to such rigorous topics as Lie and Jordan algebras, lattices, and Boolean algebras. Exercises appear throughout the text, along with insightful, carefully explained proofs. Volume II comprises all subjects customary to a first-year graduate course in algebra, and it revisits many topics from Volume I with greater depth and sophistication.
| Item Weight | 1 lbs (450 grams) |
Who Should Buy?
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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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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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Pros
- 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.
Cons
- Lack of solutions for exercises presents a challenge for learners.
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