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Item #:
41543712
Analysis On Manifolds Advanced Books Classics 1st Edition
86% of respondents would recommend this to a friend
Item #:
41543712
ETB 16138
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A readable introduction to the subject of calculus on arbitrary surfaces or manifolds.
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What Stands Out
Comprehensive Coverage
Delivers an extensive exploration of manifold theory, offering in-depth explanations and examples that cater to both beginners and advanced learners, making complex concepts accessible.
Classic Reference
As part of the Advanced Books Classics series, this title is recognized for its authoritative content, providing a trusted resource for students and professionals in differential geometry.
Modern Applications
Integrates contemporary mathematical applications, illustrating how manifold theory impacts current research fields, ensuring relevance and engagement for modern readers and researchers.
Product Details
| Publisher | CRC Press |
| Publication date | September 1, 1997 |
| Edition | 1st |
| Language | English |
| Print length | 384 pages |
| ISBN-10 | 0201315963 |
| ISBN-13 | 978-0201315967 |
| Item Weight | 1.25 pounds (570 grams) |
| Dimensions | 1.1 x 5.9 x 8.9 inches (2.8 x 15 x 22.6 cm) |
Who Should Buy?
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Mathematics Students
Ideal for graduate students seeking a rigorous understanding of manifold theory and differential geometry.
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Academics and Researchers
Valuable resource for those conducting research requiring advanced knowledge in topology and analysis on manifolds.
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Enthusiastic Learners
Great for self-motivated learners who enjoy exploring complex mathematical concepts beyond undergraduate studies.
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Novice Learners
Not suitable for beginners in mathematics due to its advanced nature and assumed prior knowledge.
Product Description
Analysis On Manifolds Advanced Books Classics 1st Edition
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Differential Geometry Editorial Review
"Analysis On Manifolds: Advanced Books Classics 1st Edition" is a well-known and widely used textbook in multivariable analysis, aimed at advanced undergraduate students and graduate students. The writing style is clear and user-friendly, with an emphasis on geometry. One of the standout features of the book is its clear and complete treatment of Stokes' Theorem, without relying on incomplete lemmas. However, the book does have some weaknesses, such as being too slow-paced and not including enough interesting problems. The Kindle version of the book is also criticized for its inConsistent symbols and numerous typos. Moreover, while the book is praised for its clarity and elementary approach, it also tends to spoon-feed students and lacks the inclusion of discussions on formalism of simplicial or cubical chains, and development of differential forms only on R^n rather than on manifolds in general. Lastly, some readers feel that the proofs are too long and unintuitive, and could benefit from working through the exercises or switching to a more advanced book. Overall, while "Analysis On Manifolds" is a well-regarded textbook, it may not be the ideal choice for all learners.
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Pros
- Clear writing style with an emphasis on geometry
- Clear and complete treatment of Stokes' Theorem without relying on incomplete lemmas
- Includes helpful examples in the text
Cons
- Too slow-paced and tends to spoon-feed students
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ETB 16138
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Features & Benefits
- Accessible to readers with basic calculus and linear algebra knowledge.
- Focuses on calculus applications on various surfaces.
- Includes sections with problems to reinforce learning.
- Ideal for students and enthusiasts of advanced mathematics.
- Perfect for self-study or supplementary material.
- 1st Edition from the Advanced Books Classics series.
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