Advanced Calculus of Several Variables - (Dover Books on Mathematics) by C H Edwards (Paperback)

This comprehensive and high-level textbook on multivariable calculus provides a modern approach to the subject, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones.

With over 400 well-chosen problems, this book is perfect for students who have completed a standard introductory calculus sequence and are looking to deepen their understanding of the subject.

The author's detailed exposition covers topics such as single-variable differential calculus generalized to higher dimensions, approximation methods, iterated integrals, and line and surface integrals, as well as a modern treatment of some venerable problems of the calculus of variations.

This book is sure to reward students with a rich intuitive and conceptual grasp of the material, making it an essential resource for anyone looking to master multivariable calculus.