- 432 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
The Calculus Primer
About this book
Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers.
Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Ample exercises permit students to test their grasp of subjects before moving forward, making this volume appropriate not only for classroom use but also for review and home study.
Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Ample exercises permit students to test their grasp of subjects before moving forward, making this volume appropriate not only for classroom use but also for review and home study.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access The Calculus Primer by William L. Schaaf in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.
Information
Answers to Problems
Ex. 1—1:
1. −1, 8, 23, 44.
2. The positive integers and zero.
3. 7, 11, 15, 19, ··· ; 1, 2, 3, ··· ; 7, 11, 15, 19, · · · .
4. u = 0, 1, 2, ··· 9; t = 0, 1, 2, ··· 9; h = 1, 2, 3, ··· 9.
7. Functions: a, c, e, g, i, k, o, p, q, r; non-functions: b, d, f, h, j, l, m, n, s, t, ...
Table of contents
- Cover
- Title
- Copyright
- Preface
- Contents
- Introduction
- One Functions, Rates, and Limits
- Two The Derivative of a Function
- Three Differentiation of Algebraic Functions
- Four Using the Derivative
- Five Differentiation of Transcendental Functions
- Six Further Applications of the Derivative
- Seven Differentials
- Eight Curvature
- Nine Indeterminate Forms
- Ten Partial Differentiation
- Eleven Expansion of Functions
- Twelve General Methods of Integration
- Thirteen Special Methods of Integration
- Fourteen The Definite Integral
- Fifteen Integration as a Process of Summation
- Sixteen Successive and Partial Integration; Approximate Integration
- Tables
- Reference Material from Other Branches of Mathematics
- Answers to Problems
- Index