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
A Treatise on Infinitesimal Calculus by Bartholomew Price is a historic multi-volume masterpiece engineered to supply advanced mathematics scholars with an exhaustive, mathematically rigorous foundation in infinitesimal analysis. Tailored specifically for higher mathematical training, this volume serves as an exceptional guide for applied infinitesimal calculus differential equation practice.
The monograph systematically explores functional expansion, algebraic differentiation, definite integration, differential geometry, and partial differential equations. By connecting fundamental theoretical theorems with classical mechanics and geometric problems, Price enables readers to execute essential calculus mathematical problem derivations with complete logical precision and analytical clarity.
Universally respected by academic historians and university faculty for its profound depth and structured pedagogical development, this enduring educational reference remains an invaluable manual for self-directed study. Price’s rigorous framework equips scholars with exact analytical tools required for mastering modern foundational calculus differential integration across diverse technical disciplines.
Book Details & Specifications
Title:
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
(1818–1898) was an eminent English mathematician, Sedleian Professor of Natural Philosophy, and Master of Pembroke College at the University of Oxford, widely celebrated for his monumental contributions to classical analysis.
Throughout his distinguished career at Oxford, Professor Price dedicated himself to elevating higher mathematical education. His authoritative classical treatises provided enduring foundational references for educators seeking accessible classical infinitesimal calculus study materials.
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