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Item #:
59152093
Understanding Infinity: The Mathematics of Infinite Processes (Dover Books on Mathematics)
Item #:
59152093
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A critical reexamination of the infinite processes encountered in elementary mathematics.
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What Stands Out
Comprehensive Approach
Explores complex infinite processes thoroughly, making advanced concepts accessible to students and enthusiasts alike. It demystifies infinite mathematics, bridging gaps in understanding for readers at various levels of expertise.
Educational Resource
Ideal for educators and self-learners, this book serves as a teaching tool that enhances the curriculum, providing clear explanations and practical examples that facilitate deeper comprehension of infinity in mathematics.
Dover Quality
Published by Dover Books, known for high-quality mathematical literature, it ensures durability and well-researched content, delivering exceptional value that supports both casual readers and serious mathematical study.
Product Details
| Publisher | Dover Publications |
| Publication date | December 22, 2010 |
| Edition | English Language |
| Language | English |
| Print length | 318 pages |
| ISBN-10 | 048642538X |
| ISBN-13 | 978-0486425382 |
| Item Weight | 14.4 ounces (408.24 grams) |
| Dimensions | 6.22 x 0.65 x 9.26 inches (15.8 x 1.7 x 23.5 cm) |
Who Should Buy?
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Mathematics Students
Ideal for undergraduate students seeking to deepen their understanding of infinite processes and mathematical concepts.
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Educators and Instructors
Useful for teachers looking for a comprehensive resource to explain complex ideas around infinity in mathematics.
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Mathematical Enthusiasts
Perfect for hobbyists interested in the philosophical and theoretical aspects of infinity beyond standard curriculum.
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Casual Readers
Not suitable for those seeking light reading as the content is heavily mathematical and dense.
Product Description
Understanding Infinity: The Mathematics of Infinite Processes (Dover Books on Mathematics)
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Customer Questions & Answers
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Question:
What topics does this book cover?
Answer: The book covers infinite processes in calculus, number theory, geometry, and the evolution of functions. -
Question:
Is this book suitable for beginners?
Answer: Yes, it serves as an introduction to the concepts of calculus and is designed for those new to the subject. -
Question:
What additional features does the book include?
Answer: The book includes exercises for practice and skill reinforcement, enhancing the learning experience.
Infinity Editorial Review
**Editorial Review of "Understanding Infinity: The Mathematics of Infinite Processes"** "Understanding Infinity" offers a comprehensive exploration of infinite processes that is both engaging and thought-provoking. The book has been praised for its clear writing style, making the complex subject matter more accessible to those with a background in math or physics. Readers report that it often keeps them captivated enough to read in extended sittings, indicating the author’s ability to break down challenging concepts into digestible portions. The book handles the abstract notions surrounding infinity, including the manipulation of infinite decimals and the fundamental underpinnings of calculus, without requiring readers to have advanced calculus knowledge. This makes it a suitable candidate for high school graduates equipped with a decent grounding in basic geometry and algebra. However, while many readers appreciate the clarity and motivation behind the mathematical concepts, some find that the book tackles difficult topics which can lead to a challenging reading experience. Thus, it invites readers to take their time to absorb the material fully. Feedback from professionals in the field of mathematics and physics has been mixed. While one theoretical physicist found the focus on infinity to be somewhat misaligned with their domain, suggesting alternative literature instead, others, including a PhD in math education, have expressed high regard for the book and its teaching potential. Despite its strengths, not every reader was entirely satisfied—with one reviewer noting that while they did not love the book, they found it a valuable resource for gaining insight into certain mathematical concepts, particularly understanding the motivations for technical vocabulary such as "epsilons" and "deltas." Overall, "Understanding Infinity" is a well-regarded, though sometimes challenging, addition to the mathematical literature, making it a worthwhile read for those interested in digging deeper into the concept of infinity and its implications in mathematics. **Pros and Cons:** **
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Pros
- Engaging writing style that keeps readers interested.
- Accessible for those with high school-level math education.
- Excellent at explaining complex mathematical concepts, such as continuity and limits.
- Provides insight into the motivation behind mathematical definitions.
Cons
- Some topics are challenging, requiring readers to return multiple times to fully grasp concepts.
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Features & Benefits
- Introduces the foundations of calculus and analysis.
- Examines infinite processes in number theory, including rational and irrational numbers.
- Analyzes geometric concepts such as length, area, and volume through infinite processes.
- Explores the evolution of various function types, including polynomial and trigonometric functions.
- Includes numerous exercises to reinforce learning and skill acquisition.
- Unabridged republication ensuring integrity of the original work.
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