Treatise on Infinitesimal Calculus by Price Bartholome
Treatise on Infinitesimal Calculus - Table of Contents
INTEGRAL CALCULUS
1. The Theory of Definite and Indefinite Integration
2. Rules for the Integration of Algebraical Functions
3. Integration of Logarithmic and Circular Functions
4. On Definite Integration and on Definite Integrals
5. Successive Integration of an Explicit Function of One Variable
6. The Application of Single Integration to Questions of Geometry
7. The Application of Single Definite Integration to the Theory of Series
8. On Multiple Integration and the Transformation of Multiple Integrals
9. Quadratures of Surfaces, Plane and Curved
10. Cubature of Solids
11. On Some Questions in the Calculus of Probabilities, and on the Determination of Mean Values
12. Reduction of Multiple Integrals
CALCULUS OF VARIATIONS
13. Exposition of the Principles of the Calculus of Variations
14. Applications of the Calculus of Variations to Problems of Maxima and Minima
15. The Integration of Differential Equations of the First Order
16. Integration of Differential Equations of Orders Higher than the First
17. The Solution of Differential Equations by the Calculus of Operations
18. Integration of Simultaneous Differential Equations
19. Integration of Differential Equations by Series
What You Will Learn in Treatise on Infinitesimal Calculus
"Treatise on Infinitesimal Calculus" by "Bartholomew Price" is a comprehensive guide to understanding "differential calculus". The book presents foundational concepts such as derivatives, limits, and rates of change with clarity and precision. Price emphasizes logical reasoning and structured explanations, making complex calculus concepts approachable for students and learners at all levels.
In addition to differentiation, the text thoroughly covers "integral calculus", demonstrating how integrals are applied to compute areas, solve equations, and model real-world phenomena. Each chapter includes worked examples and exercises designed to reinforce learning and enhance problem-solving skills. By blending theoretical principles with practical applications, Price ensures readers can connect calculus concepts to science, engineering, and applied mathematics.
The treatise also serves as an essential resource for "mathematical analysis", linking foundational calculus ideas to broader analytical reasoning. Ideal for students, educators, and self-learners, Price’s work provides a structured approach to mastering calculus. Its detailed explanations, examples, and focus on applications make it a valuable reference for anyone seeking to understand both the theory and practice of infinitesimal calculus.
Book Details & Specifications
Title:
Treatise on Infinitesimal Calculus by Price Bartholome
Publisher:
University Press
Year:
1854
Pages:
762
Type:
PDF
Language:
English
ISBN-10 #:
1145777376
ISBN-13 #:
978-1145777378
License:
Public Domain Work
Amazon:
Amazon
About the Author: Price Bartholome
The author
Price Bartholome
was a renowned "mathematician" and educator studied at Cambridge University, where he developed a strong foundation in mathematics and analytical reasoning. He later taught at various institutions, including leadership roles at schools and universities, focusing on structured explanations, worked examples, and practical applications. Price recognized for his expertise in "differential calculus" and "integral calculus". He focused on making complex mathematical concepts clear and accessible to students and scholars. He emphasized structured explanations, worked examples, and practical applications, helping learners develop both theoretical understanding and problem-solving skills.
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