An Introduction to Algebra by Jeremiah Day, Anthony D. Stanley
An Introduction to Algebra - Table of Contents
0. Introductory Observations on Mathematics in General
1. Notation; Positive and Negative Quantities; Axioms
2. Addition
3. Subtraction
4. Multiplication
5. Division
6. Algebraic Fractions
7. Simple Equations
8. Equations Containing Two or More Unknown Quantities
9. Involution and Evolution
10. Quadratic Equations
11. Ratio and Proportion
12. Variation or General Proportion
13. Arithmetical and Geometrical Progression
14. Infinites and Infinitesimals
15. Common Measure and Multiple; Permutations and Combinations
16. Involution or Expansion of Binomials
17. Evolution of Compound Quantities
18. Infinite Series
19. General Properties of Equations
20. Resolution of Equations
21. Application of Algebra to Geometry
What You Will Learn in An Introduction to Algebra
"An Introduction to Algebra" by "Jeremiah Day" and "Anthony D. Stanley" (Being the First Part of A Course of Mathematics, Adapted to the Method of Instruction in the American Colleges) is a textbook designed to provide a strong foundation in "elementary algebra" for beginners and intermediate learners. The book introduces algebraic concepts gradually, making it easy to follow for students new to the subject. It covers essential topics such as "basic operations, equations, factors, polynomials, and ratios", providing a comprehensive introduction to algebraic thinking.
The book emphasizes "clarity" and systematic learning, offering numerous examples and exercises to reinforce understanding. Each chapter builds on the previous one, ensuring students develop confidence before moving to more complex topics. Practical applications are included to show how algebra is used in everyday problem-solving, which helps learners connect theory with real-life scenarios.
Day and Stanley’s approach makes abstract concepts accessible and engaging, making it suitable for self-learners, school students, and teachers seeking a structured reference. With its logical progression, detailed explanations, and problem-solving focus, "An Introduction to Algebra" remains a trusted guide for building a solid foundation in "algebra". It equips learners with the necessary skills to tackle more advanced mathematics with ease.
Book Details & Specifications
Title:
An Introduction to Algebra by Jeremiah Day, Anthony D. Stanley
Publisher:
Loomis & Peck
Year:
1859
Pages:
429
Type:
PDF
Language:
English
ISBN-10 #:
3382303825
ISBN-13 #:
978-3382303822
License:
Public Domain Work
Amazon:
Amazon
About the Author: Jeremiah Day and Anthony Dumond Stanley
The author
Jeremiah Day and Anthony Dumond Stanley
are the authors of the classic textbook "An Introduction to Algebra". Day, a renowned mathematician and educator, focused on teaching "elementary algebra" with clear explanations and a logical approach. Stanley later revised the book, making it more accessible for students. Their combined work emphasizes "equations, polynomials, ratios, basic operations", and problem-solving. With structured lessons, numerous examples, and exercises, the book helps learners build a solid foundation in algebra. It remains a trusted reference for students, teachers, and self-learners seeking clarity and confidence in "algebraic concepts".
Read or Downloadable An Introduction to Algebra
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