Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

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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Frequently Asked Questions

  • Q: What is the main focus of 'Calculus On Manifolds'? A: 'Calculus On Manifolds' by Michael Spivak primarily focuses on advanced calculus concepts, emphasizing the subtlety of methods and rigor required at an advanced level.
  • Q: What are the prerequisites for reading this book? A: The formal prerequisites include a term of linear algebra, familiarity with set theory notation, and a solid understanding of first-year calculus.
  • Q: Is this book suitable for beginners in calculus? A: While the book is accessible, it is more suitable for readers who have a foundational understanding of calculus and some exposure to abstract mathematics.
  • Q: What is the condition of the book being sold? A: The book is listed as 'Used Book in Good Condition', indicating it may have some wear but is still functional and readable.
  • Q: How many pages are in 'Calculus On Manifolds'? A: 'Calculus On Manifolds' contains 162 pages, providing a concise yet comprehensive exploration of the subject matter.
  • Q: What is the binding type of this book? A: The book is available in paperback binding, making it lightweight and portable for easy reading.
  • Q: Who is the author of this book? A: The author of 'Calculus On Manifolds' is Michael Spivak, known for his contributions to mathematics and education.
  • Q: When was 'Calculus On Manifolds' published? A: 'Calculus On Manifolds' was published on January 22, 1971, and has since been a valuable resource for students and professionals alike.
  • Q: What category does this book fall under? A: This book is categorized under 'Linear', reflecting its focus on linear algebra concepts within the context of advanced calculus.
  • Q: What makes this book different from other calculus texts? A: This book takes a modern approach by using elementary versions of sophisticated mathematical methods, making complex concepts more accessible.