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Item #:
41648577
Thinking Algebraically: An Introduction to Abstract Algebra (Ams/Maa Textbooks)
Item #:
41648577
ZMW 2718
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Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way.
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What Stands Out
Comprehensive Coverage
Offers a thorough introduction to abstract algebra concepts, ensuring a solid foundation for students. Ideal for beginners and those seeking to deepen their understanding.
Student-Friendly Approach
Designed with engaging examples and clear explanations, making complex topics accessible. Perfect for self-study and classroom use, enhancing learning experience.
Quality Resources
Includes exercises that reinforce concepts and develop problem-solving skills. The textbook is backed by AMS/MAA quality, ensuring reliability and academic credibility.
Product Details
- Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings\-first and groups\-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout.\n\nThe book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester\- or year\-long algebra course.
| Publisher | American Mathematical Society |
| Publication date | April 7, 2021 |
| Language | English |
| Print length | 478 pages |
| ISBN-10 | 1470460300 |
| ISBN-13 | 978-1470460303 |
| Item Weight | 1.94 pounds (880 grams) |
| Dimensions | 10.04 x 1.14 x 7.2 inches (25.5 x 2.9 x 18.3 cm) |
Who Should Buy?
-
Undergraduate Students
Ideal for undergraduate students eager to understand abstract algebra concepts with clarity and structured progression.
-
Self-learners
Great for individuals learning independently who want comprehensive explanations and examples in abstract algebra.
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Mathematics Educators
Suitable for educators looking for effective resources to teach abstract algebra and foster student understanding.
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Beginners in Math
Not suitable for math novices as it assumes prior knowledge of algebraic concepts and proofs.
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Quick Reference Seekers
Not ideal for users looking for quick answers; it's a comprehensive textbook, not a compact reference guide.
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Casual Readers
May not appeal to casual readers; it's an academic textbook requiring focus and dedication to studying.
Product Description
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Customer Questions & Answers
-
Question:
What level of math knowledge is required to understand this book?
Answer: A basic understanding of high school algebra is sufficient. -
Question:
Does the book include exercises for practice?
Answer: Yes, it contains numerous exercises and supplemental projects. -
Question:
Are there visual aids in the book to assist learning?
Answer: Yes, there are well over 100 figures included throughout the text.
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Pros
- Clear explanations of concepts
- Useful for beginners
- Engaging exercises
- Covers essential topics
- Well-organized structure
Cons
- Some sections may be confusing.
Product Price History
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ZMW 2718
Order now and get it around Saturday, July 04
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Only 2 items left in stock.
Secured transaction
Ubuy works hard to protect your security and privacy. Our advanced payment security system ensures confidentiality by encrypting your information during transmission using AES (Advanced Encryption Standards) and SSL (Secure Socket Layer) protocols. Your payment details are 100% secure as we do not share your payment details with third party sellers.
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Features & Benefits
- Blends rings-first and groups-first approaches effectively.
- Starts with historical overview and familiar examples.
- Introduces basic properties of groups and rings.
- Includes numerous exercises and projects for deeper understanding.
- Clear and conversational exposition throughout the text.
- Supports learning with over 100 figures and mathematician biographies.