The Calculus for Beginners by J. W. Mercer
The calculus for beginners - Table of Contents
- 1. Fundamental Notions
- 2. Differentiation from First Principles
- 3. Differentiation of X^n
- 4. Maxima And Minima
- 5. Small Errors and Approximations
- 6. The Inverse Operation
- 7. Integral Calculus. Areas of Plane Curves. Mean Ordinate
- 8. Further Applications of The Integral Calculus
- 9. Differentiation of Trigonometrical Ratios
- 10. Harder Differentiation
- 11. Differentiation of N^x
- 12. Approximate Solution Of Equations
- 13. Methods of Integration
- 14. Polar Co-ordinates
What You Will Learn in The calculus for beginners
The Calculus for Beginners by J. W. Mercer is a celebrated classical guide crafted specifically to introduce students to the core ideas of differential and integral calculus without unnecessary complexity. Designed for introductory technical and scientific training, this volume serves as an exceptional resource for applied introductory calculus differential equation practice.
The monograph systematically covers functional rates, algebraic differentiation, geometric integration applications, trigonometric derivatives, and simple mechanics problems. By illustrating fundamental analytical theorems through tangible physical examples, Mercer enables readers to execute essential calculus mathematical problem derivations with complete conceptual clarity.
Universally praised by educators for its step-by-step pedagogical progression and rich exercise sets, this enduring educational reference remains an invaluable manual for self-directed study. Mercer’s practical approach equips science scholars with exact analytical tools required for mastering modern introductory calculus integration principles across diverse mathematical disciplines.
Book Details & Specifications
Title:
The Calculus for Beginners by J. W. Mercer
Publisher:
Cambridge University Press
Year:
1914
Pages:
466
Type:
PDF
Language:
English
ISBN-10 #:
139797821X
ISBN-13 #:
978-1397978219
License:
Public Domain Work
Amazon:
Amazon
About the Author: John William Mercer
The author John William Mercer
was Head of the Mathematics Department at the Royal Naval College, Dartmouth, widely recognized for his pioneering methods in presenting applied calculus to young technical students.
Throughout his academic career, Professor Mercer focused on connecting abstract pure mathematics with practical physical applications. His clear instructional textbooks provided enduring foundational references for educators seeking accessible classical introductory calculus study materials.
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