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An Introduction to Algebra by Jeremiah Day, Anthony D. Stanley - PDF



About this book :-
"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 Detail :-
Title: An Introduction to Algebra by Jeremiah Day, Anthony D. Stanley - PDF
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 Author :-
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".

Book 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

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