Applied Calculus: Principles and Applications by Robert Thomas
Applied Calculus: Principles and Applications - Table of Contents
0. INTRODUCTION.
Part-I DIFFERENTIAL CALCULUS.
1. FUNCTIONS. DIFFERENTIALS. RATES.
2. DIFFERENTIATION. DERIVATIVES. LIMITS.
3. SUCCESSIVE DIFFERENTIATION. ACCELERATION. CURVILINEAR MOTION.
4. GEOMETRICAL AND MECHANICAL APPLICATIONS
5. SUCCESSIVE INTEGRATION. MULTIPLE INTEGRALS. SURFACES AND VOLUMES.
6. CURVATURE. EVOLUTES.
7. CHANGE OF THE INDEPENDENT VARIABLE. FUNCTIONS OF TWO OR MORE VARIABLES
Part-II INTEGRAL CALCULUS
1. INTEGRATION. STANDARD FORMS.
2. DEFINITE INTEGRALS. AREAS.
3. INTEGRAL CURVES. LENGTHS OF CURVES. CURVE OF A FLEXIBLE CORD.
4. INTEGRATION AS THE LIMIT OF A SUM. SURFACES AND VOLUMES.
5. SUCCESSIVE INTEGRATION. MULTIPLE INTEGRALS. SURFACES AND VOLUMES.
6. MOMENT OF INERTIA. CENTER OF GRAVITY.
7. APPLICATIONS. PRESSURE. STRESS. ATTRACTION.
8. INFINITE SERIES. INTEGRATION BY SERIES.
9. TAYLOR'S THEOREM. EXPANSION OF FUNCTIONS. INDETERMINATE FORMS.
10. DIFFERENTIAL EQUATIONS. APPLICATIONS. CENTRAL FORCES.
What You Will Learn in Applied Calculus: Principles and Applications
This is a classic textbook designed to teach the "fundamentals of calculus" with a strong focus on "real-world applications". First published in 1919, it was written specifically for engineering, technical, and "applied science students", making complex topics accessible and practical.
The book covers core concepts in "differential and integral calculus", including functions, limits, derivatives, and integration. What sets this text apart is its emphasis on applying calculus to solve practical problems in fields like "engineering mechanics", physics, and technology. With clear explanations, diagrams, and step-by-step examples, Thomas helps students grasp how "calculus connects to real-life scenarios".
Though more than a century old, this book remains a valuable reference for understanding the "historical development of applied calculus". Its logical structure and focus on "problem-solving" make it relevant even today for learners seeking a straightforward and application-based approach. Ideal for students, educators, or anyone interested in the evolution of mathematical instruction in technical fields.
Book Details & Specifications
Title:
Applied Calculus: Principles and Applications by Robert Thomas
Publisher:
D. Van Nostrand company, New York
Year:
1919
Pages:
520
Type:
PDF
Language:
English
ISBN-10 #:
1346183767
ISBN-13 #:
978-1346183763
License:
Public Domain Work
Amazon:
Amazon
About the Author: Robert Gibbes Thomas
The author Robert Gibbes Thomas
is best known for his 1919 textbook "Applied Calculus: Principles and Applications". Though detailed personal information is scarce, his work highlights a practical approach to teaching calculus for engineering and "applied science" students. Thomas focused on making complex mathematical ideas accessible through clear explanations and real-world problem-solving. His textbook helped shape early 20th-century math education by bridging pure calculus theory with practical applications, making it a valuable resource for learners and educators in technical fields.
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