Title
Advanced Calculus of Several Variables (Dover Books on Mathematics),Used
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In this highlevel treatment, the author provides a modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, the book gives equal attention to the classical applications and computational methods responsible for much of the interest and importance of this subject.Beginning with a discussion of Euclidean space and linear mappings, Professor Edwards (University of Georgia) follows with a thorough and detailed exposition of multivariable differential and integral calculus. Among the topics covered are the basics of singlevariable differential calculus generalized to higher dimensions, the use of approximation methods to treat the fundamental existence theorems of multivariable calculus, iterated integrals and change of variable, improper multiple integrals and a comprehensive discussion, from the viewpoint of differential forms, of the classical material associated with line and surface integrals, Stokes' theorem, and vector analysis. The author closes with a modern treatment of some venerable problems of the calculus of variations.Intended for students who have completed a standard introductory calculus sequence, the book includes many hundreds of carefully chosen examples, problems, and figures. Indeed, the author has devoted a great deal of attention to the 430 problems, mainly concrete computational ones, that will reward students who solve them with a rich intuitive and conceptual grasp of the material.
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- Q: What topics are covered in 'Advanced Calculus of Several Variables'? A: The book covers multivariable differential and integral calculus, linear mappings, iterated integrals, change of variable, improper multiple integrals, line and surface integrals, Stokes' theorem, vector analysis, and the calculus of variations.
- Q: Who is the author of this book? A: The author of 'Advanced Calculus of Several Variables' is C. H. Edwards Jr., a professor from the University of Georgia.
- Q: What is the intended audience for this book? A: This book is intended for students who have completed a standard introductory calculus sequence and are looking to deepen their understanding of multivariable calculus.
- Q: How many pages does the book have? A: The book contains 478 pages.
- Q: What is the binding type of this book? A: 'Advanced Calculus of Several Variables' is available in paperback binding.
- Q: When was this book published? A: The book was published on February 1, 1995.
- Q: Does the book include examples and problems for practice? A: Yes, the book includes many hundreds of carefully chosen examples, problems, and figures, along with 430 concrete computational problems for student practice.
- Q: Is this book suitable for self-study? A: Yes, the book is well-structured for self-study, providing comprehensive explanations and numerous problems to enhance understanding.
- Q: What edition of the book is available? A: The book is a revised edition.
- Q: What is the main focus of the book's teaching approach? A: The book emphasizes the interplay of geometry and analysis via linear algebra and provides a modern conceptual approach to multivariable calculus.