Mastering Calculus through Practice: A Study Guide with over 300 Solved Exercises

✍ Scribed by Bárbara de Holanda Maia Teixeira, Edmundo Capelas de Oliveira

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 353
• Edition: 1
• Category: Library

✦ Synopsis

This textbook covers key topics of Elementary Calculus through selected exercises, in a sequence that facilitates development of problem-solving abilities and techniques. It opens with an introduction to fundamental facts of mathematical logic, set theory, and pre-calculus, extending toward functions, limits, derivatives, and integrals. Over 300 solved problems are approached with a simple, direct style, ordered in a way that positively challenges students and helps them build self-confidence as they progress. A special final chapter adds five carefully crafted problems for a comprehensive recap of the work.
The book is aimed at first-year students of fields in which calculus and its applications have a role, including Science, Technology, Engineering, Mathematics, Economics, Architecture, Management, and Applied Social Sciences, as well as students of Quantitative Methods courses. It can also serve as rich supplementary reading for self-study.

✦ Table of Contents

Foreword
Foreword to the Brazilian Edition
Contents
Preface
1 Preliminaries
2 Functions
3 Limits
4 Derivatives
5 Integrals
6 Brief Recap
7 Solutions
7.1 Chapter 1
7.2 Chapter 2
7.3 Chapter 3
7.4 Chapter 4
7.5 Chapter 5
7.6 Chapter 6
A Pyramid and Inequality
A.1 Pyramid Trunk
A.2 Triangle Inequality
A.3 Generality
A.4 A Few Tricky Concepts
B Sources
Index

✦ Subjects

Calculus; Functions; Limits; Derivatives; Integrals