Vector Calculus (Dover Books on Mathematics),New

Vector Calculus (Dover Books on Mathematics),New

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Traditionally, linear algebra, vector analysis, and the calculus of functions of several variables are taught as separate subjects. This text explores their close relationship and establishes the underlying links. A rigorous and comprehensive introductory treatment, it features clear, readable proofs that illustrate the classical theorems of vector calculus, including the inverse and implicit function theorems. Prerequisites include a knowledge of elementary linear algebra and onevariable calculus.Starting with basic linear algebra and concluding with the integration theorems of Green, Stokes, and Gauss, the text pays particular attention to the relationships between different parametrizations of curves and surfaces, and it surveys their application in line and surface integrals. Concepts are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.

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Frequently Asked Questions

  • Q: What topics are covered in 'Vector Calculus' by Peter Baxandall? A: The book covers the relationship between linear algebra, vector analysis, and calculus of functions of several variables. It includes classical theorems, integration theorems of Green, Stokes, and Gauss, and applications in line and surface integrals.
  • Q: What is the recommended prerequisite knowledge for this book? A: Readers should have a knowledge of elementary linear algebra and one-variable calculus to fully understand the material presented in the book.
  • Q: Is 'Vector Calculus' suitable for beginners? A: While the book is comprehensive and introductory, it is best suited for readers with some background in linear algebra and calculus, as it builds on these concepts.
  • Q: How many pages does the book contain? A: The book has a total of 560 pages, providing a thorough exploration of vector calculus.
  • Q: What is the binding type of this book? A: The book is available in paperback binding, making it suitable for both reading and referencing.
  • Q: When was 'Vector Calculus' published? A: The book was published on July 24, 2008.
  • Q: Who is the author of 'Vector Calculus'? A: The book is authored by Peter Baxandall.
  • Q: Does this book include exercises for practice? A: Yes, the book includes numerous exercises ranging from routine calculations to theoretical problems, along with hints and answers.
  • Q: Are there illustrations or figures in the book? A: Yes, the text is amply illustrated with figures and worked examples to help clarify the concepts discussed.
  • Q: What edition of the book is available? A: This is the illustrated edition of 'Vector Calculus'.