Advanced Calculus (Dover Books on Mathematics)

Book Details

• Author: Widder, David V.

• Brand: Dover

• Edition: New edition

• Binding: Paperback

• Number of Pages: 544

• Release Date: 01-08-1989

• ISBN: 9780486661032

• Languages: English

• Package Dimensions:

  • Length: 8.5 inches

  • Width: 5.5 inches

  • Height: 1.7 inches

About The Book
"Advanced Calculus" by David V. Widder is a classic text that bridges the gap between elementary calculus and more advanced theoretical problems in calculus. Aimed at students who are familiar with elementary calculus, this book guides them through the complexities of advanced topics, making it an ideal resource for both mathematics and engineering students.

Widder’s careful and precise exposition is a hallmark of this work. The book is structured around definitions, theorems, proofs, examples, and exercises, with each theorem presented concisely to highlight the essential hypotheses and conclusions. The clarity of the author’s statements ensures that students can easily grasp the core ideas and develop a solid understanding of advanced calculus.

In this new edition, Widder enhances the treatment of Stieltjes integrals, providing better clarity for readers less familiar with the Riemann integral. The section on series is also expanded, with the inclusion of partial summation, Schwarz-Hölder inequalities, and additional results related to power series. A wide range of carefully selected exercises, graded by difficulty, helps reinforce the concepts presented in each chapter, with answers to many included in the final section for self-assessment.

This text remains a comprehensive and valuable resource for anyone studying advanced calculus, making it an essential addition to the library of any student pursuing mathematics, applied mathematics, or engineering.