An Introduction to the Infinitesimal Calculus by Horatio Carslaw
An Introduction to the Infinitesimal Calculus - Table of Contents
- 1. Co-Ordinate Geometry Fundamentals
- 2. The Meaning Of Differentiation
- 3. Differentiation Of Algebraic Functions; And Some General Theorems In Differentiation
- 4. The Differentiation Of The Trigonometric Functions
- 5. The Exponential And Logarithmic Functions; Maxima And Minima; Partial Differentiation Methods
- 6. The Conic Sections Analysis
- 7. The Integral Calculus, Integration
- 8. The Definite Integral Applications
What You Will Learn in An Introduction to the Infinitesimal Calculus
An Introduction to the Infinitesimal Calculus by Horatio Carslaw is a celebrated historical textbook that offers a lucid, rigorous foundation in classical calculus. Designed to bridge the gap between elementary algebra and advanced mathematical analysis, this work systematically breaks down core topics including real numbers, limits, rates of change, implicit differentiation, definite and indefinite integrals, logarithmic functions, and infinite series expansion into clear, structured lessons.
Tailored for undergraduate mathematics students, physics scholars, and teachers of classical analysis, Prof. Carslaw emphasizes conceptual clarity without sacrificing analytical precision. The text guides readers step-by-step through geometric applications of derivatives, arc length calculation, area under curves, partial differentiation, and basic differential equations. Whether evaluating Taylor expansions or solving physical rate problems, learners will benefit from this clear exposition.
Globally recognized for its historical significance, structural elegance, and carefully chosen exercises, it remains one of the best classical calculus introductory books pdf available for independent study. It systematically equips students with essential analytical tools for mastering infinitesimal calculus with confidence.
Book Details & Specifications
Title:
An Introduction to the Infinitesimal Calculus by Horatio Carslaw
Publisher:
Longmans, Green
Year:
1905
Pages:
122
Type:
PDF
Language:
English
ISBN-10 #:
1436889170
ISBN-13 #:
978-1436889179
License:
Public Domain Work
Amazon:
Amazon
About the Author: Horatio Scott Carslaw
The author Horatio Scott Carslaw
was an eminent Scottish-Australian mathematician who served as Professor of Mathematics at the University of Sydney. He earned his Doctor of Science from the University of Glasgow and studied extensively at the University of Cambridge.
Renowned worldwide for his foundational contributions to mathematical analysis and heat conduction theory, Prof. Carslaw authored several benchmark textbooks in calculus, Fourier series, and operational mathematics that influenced generations of mathematicians.
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