Algebra Preliminary to Differential Calculus by De Morgan
Elements of Algebra Preliminary to the Differential Calculus - Table of Contents
- 1. Equations of the First Degree
- 2. On the Symbols of Algebra, as Distinguished from Those of Arithmetic
- 3. Equations of the First Degree with More Than One Unknown Quantity
- 4. On Exponents, and on the Continuity of Algebraic Expressions
- 5. General Theory of Expressions of the First and Second Degrees; Including the Numerical Solution of Equations of the Second Degree
- 6. On Limits and Variable Quantities
- 7. Classification of Algebraical Expressions and Consequences. Rule of Division
- 8. On Series and Indeterminate Coefficients
- 9. On the Meaning of Equality in Algebra, as Distinguished from its Meaning in Arithmetic
- 10. On the Notation of Functions
- 11. On the Binomial Theorem
- 12. Exponential and Logarithmic Series
- 13. On the Use of Logarithms in Facilitating Computations
What You Will Learn in Elements of Algebra Preliminary to the Differential Calculus
Examples of Processes of Arithmetic and Algebra: Preliminary to the Differential Calculus by Augustus De Morgan is an influential foundational text written to prepare students for higher analysis. Designed to bridge elementary algebra and calculus, this masterwork serves as an outstanding reference for precalculus algebra problem solving practice.
The narrative systematically explores infinite series, expansion of functions, logarithmic calculations, algebraic transformations, and limiting ratios. By pairing De Morgan’s characteristic logical precision with extensive worked examples, this text enables learners to apply fundamental algebraic calculus prep rules with complete clarity and analytical confidence.
Revered by educators and historians for its unique instructional approach, this historic volume remains an invaluable asset for students advancing to higher mathematics. De Morgan’s systematic framework equips self-directed learners with the mathematical rigor required for mastering single variable derivative foundations across academic disciplines.
Book Details & Specifications
Title:
Algebra Preliminary to Differential Calculus by De Morgan
Publisher:
Taylor and walton
Year:
1837
Pages:
309
Type:
PDF
Language:
English
ISBN-10 #:
1016357583
ISBN-13 #:
978-1016357586
License:
Public Domain Work
Amazon:
Amazon
About the Author: Augustus De Morgan
The author Augustus De Morgan
(1806–1871) was a legendary British mathematician, logician, and the first Professor of Mathematics at University College London. Famous for formulating De Morgan's laws in logic and set theory, he was a prolific writer who revolutionized 19th-century mathematical instruction.
A passionate advocate for fundamental clarity, De Morgan published seminal textbooks on algebra, logic, probability, and calculus. His historical treatises continue to serve as gold standards for educators developing rigorous classical mathematics learning resources.
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