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 Operations
- 3. Subtraction Rules
- 4. Multiplication Principles
- 5. Division Methods
- 6. Algebraic Fractions Operations
- 7. Simple Equations Solving
- 8. Equations Containing Two or More Unknown Quantities
- 9. Involution and Evolution Operations
- 10. Quadratic Equations Methods
- 11. Ratio and Proportion Principles
- 12. Variation or General Proportion
- 13. Arithmetical and Geometrical Progression
- 14. Infinites and Infinitesimals Concepts
- 15. Common Measure and Multiple; Permutations and Combinations
- 16. Involution or Expansion of Binomials
- 17. Evolution of Compound Quantities
- 18. Infinite Series Analysis
- 19. General Properties of Polynomial 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 is a classic beginner’s guide that makes learning fundamental algebraic operations, linear equations, and functional reasoning simple and approachable. This famous textbook breaks down complex topics like algebraic notation, positive and negative quantities, linear equations in one and multiple variables, special product expansion, factoring techniques, algebraic fractions, simultaneous linear equations, powers, roots, and quadratic equation solving into easy-to-understand explanations. Ideal for students and self-learners, it removes the academic confusion often associated with higher mathematics.
Perfect for high school and college introductory algebra students, this foundational text helps readers build an intuitive understanding of mathematical concepts. Day and Stanley use clear, informal language and practical examples to make the subject less intimidating and more accessible. Whether you are completely new to the field or just need a quick refresher, the book provides step-by-step guidance through every chapter.
Known for its straightforward style and focus on core principles, it remains one of the best classical elementary algebra books for students worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering basic and intermediate algebra with confidence.
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
The author Jeremiah Day
was a prominent 19th-century American educator, mathematician, and President of Yale College, widely celebrated for authoring early American mathematics textbooks that defined collegiate instruction. Anthony D. Stanley was a Professor of Mathematics at Yale College, known for his rigorous revisions and enhancements to classic mathematical texts.
Through An Introduction to Algebra, Day and Stanley deliver a masterfully structured, clear presentation of fundamental algebraic mechanics and problem-solving strategies. Their logical progression, well-graded exercise sets, and emphasis on intuitive clarity make this volume a classic reference for introductory algebra valued by educators and students worldwide.
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