Title
Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus
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This Little Book Is Especially Concerned With Those Portions Of ?Advanced Calculus? In Which The Subtlety Of The Concepts And Methods Makes Rigor Difficult To Attain At An Elementary Level. The Approach Taken Here Uses Elementary Versions Of Modern Methods Found In Sophisticated Mathematics. The Formal Prerequisites Include Only A Term Of Linear Algebra, A Nodding Acquaintance With The Notation Of Set Theory, And A Respectable Firstyear Calculus Course (One Which At Least Mentions The Least Upper Bound (Sup) And Greatest Lower Bound (Inf) Of A Set Of Real Numbers). Beyond This A Certain (Perhaps Latent) Rapport With Abstract Mathematics Will Be Found Almost Essential.
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- Q: How many pages does this book have? A: This book has one hundred sixty-two pages. It offers a concise exploration of advanced calculus concepts.
- Q: What is the binding type of this book? A: This book is a paperback edition. The paperback binding makes it lightweight and easy to handle.
- Q: What are the dimensions of this book? A: The book measures five point twenty-five inches in length, zero point twenty-five inches in width, and eight point twenty-seven inches in height. These dimensions make it portable and suitable for carrying.
- Q: Who is the author of this book? A: The author of this book is Michael Spivak. He is known for his contributions to mathematics and educational literature.
- Q: What topics does this book cover? A: This book covers advanced calculus concepts through modern mathematical approaches. It focuses on the subtleties of advanced calculus that challenge elementary understanding.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners with some mathematical background. A basic understanding of linear algebra and introductory calculus is recommended.
- Q: What prerequisites should I have before reading this book? A: A term of linear algebra and familiarity with set theory notation are prerequisites. Additionally, a respectable first-year calculus course is advised.
- Q: How does this book approach advanced calculus? A: This book uses elementary versions of modern methods found in sophisticated mathematics. It aims to clarify complex concepts for better understanding.
- Q: Is this book appropriate for self-study? A: Yes, this book is appropriate for self-study. It presents advanced topics in a digestible format for independent learners.
- Q: Can I use this book for a calculus course? A: Yes, this book can be used as a supplementary resource for a calculus course. Its focus on advanced topics supports deeper understanding.
- Q: How should I store this book? A: Store this book in a cool, dry place, away from direct sunlight to prevent damage. Keeping it on a shelf will help maintain its condition.
- Q: Can I clean the pages of this book? A: No, it is not recommended to clean the pages of this book. Instead, handle it with clean hands to avoid dirt and smudges.
- Q: What is the condition of the used book? A: This is a used book in good condition. It may show minor signs of wear but remains fully readable.
- Q: Is this book safe for young readers? A: Yes, this book is safe for young readers with a mathematical interest. However, a basic understanding of calculus is necessary.
- Q: What makes this book unique? A: This book is unique due to its focus on advanced calculus through a modern lens. It aims to bridge the gap between elementary understanding and advanced concepts.
- Q: Where is this book published? A: This book is published by CRC Press. The publisher is known for its educational and technical resources.