Advanced Calculus

Advanced Calculus: Theory and Practice

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$99.95
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ISBN 9781466565630
Cat# K16111
 

Features

  • Provides students with computational skills and the ability to read and write proofs, helping them succeed in further mathematical studies
  • Begins with the calculus of one variable and then proceeds to multivariable calculus
  • Presents all of the theorems and definitions in a careful and complete manner
  • Weaves historical facts into the main presentation, making the text interesting and more motivating for students
  • Emphasizes the reasons why certain topics are being studied

Solutions manual available with qualifying course adoption

Summary

This textbook strengthens students’ computational skills, teaches them how to prove theorems, and helps them understand proofs. Designed for junior and senior undergraduates, the book includes historical background for many concepts and theorems. It begins with the calculus of one variable and progresses to multivariable calculus in the second half of the book. An introductory section in each chapter reviews the material covered in earlier calculus courses, easing students into the more serious material. A solutions manual is available with qualifying course adoption.

Table of Contents

Sequences and Their Limits. Real Numbers. Continuity. The Derivative. The Indefinite Integral. The Definite Integral. Infinite Series. Sequences and Series of Functions. Functions of Several Variables. Derivatives. Implicit Functions and Optimization. Integrals Depending on a Parameter. Integration in Rn.

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