Differential and Integral Calculus by Augustus De Morgan
Differential and Integral Calculus - Table of Contents
- 1. On the Processes of Direct Differentiation
- 2. On the General Theory of Functional Increments and Differentiation
- 3. On Algebraical Development
- 4. Calculus of Finite Differences
- 5. On Implicit Differentiation
- 6. Meaning of, and Processes in, Integration
- 7. Trigonometrical Analysis
- 8. On the Meaning of Differential Coefficients, and on the First Principles of the Application of the Science to Geometry and Mechanics
- 9. On the Connexion of Differentiations of Different Kinds
- 10. On Singular Values
- 11. On Differential Equations
- 12. Further Applications to Algebra
- 13. Miscellaneous Examples and Developments
- 14. Application to Geometry of Two Dimensions
- 15. Application to Geometry of Three Dimensions
- 16. On the Calculus of Variations
- 17. Application to Mechanics
- 18. On Interpolation and Summation
- 19. On the Transformation of Divergent Developments
- 20. On Definite Integrals
- 21. On Differential Equations and Equations of Differences
What You Will Learn in Differential and Integral Calculus
Differential and Integral Calculus by Augustus De Morgan is a monumental classical treatise that laid the logical and philosophical bedrock for modern mathematical analysis. Written for university students and scholars, this timeless text bridges early infinitesimal methods with rigorous limit theories, making it an irreplaceable resource for classical calculus foundational study practice.
The volume systematically covers first principles of differentiation, infinite series expansions, integral evaluations, and differential equations. By combining profound analytical logic with exhaustive historical context, De Morgan enables readers to understand fundamental mathematical principles and execute step-by-step classical integration methods with absolute analytical clarity.
Widely celebrated by educators and historians of science, this comprehensive reference remains an essential companion for courses in the history of mathematics and advanced analysis. De Morgan’s methodical framework equips students with the logical reasoning required for mastering foundational calculus proof techniques across academic research.
Book Details & Specifications
Title:
Differential and Integral Calculus by Augustus De Morgan
Publisher:
R. Baldwin
Year:
1842
Pages:
882
Type:
PDF
Language:
English
ISBN-10 #:
1293863807
ISBN-13 #:
978-1293863800
License:
Public Domain Work
Amazon:
Amazon
About the Author: Augustus De Morgan
The author Augustus De Morgan
(1806–1871) was a legendary British mathematician and logician, widely known for formulating De Morgan's laws and introducing mathematical induction. As the first Professor of Mathematics at University College London, he profoundly shaped 19th-century mathematical pedagogy.
Authoring numerous influential textbooks on algebra, logic, and calculus, De Morgan championed clear, accessible, and logically rigorous education. His pioneering writings remain timeless landmarks for scholars seeking foundational university level calculus history resources and classical analysis references.
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