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Elements of Algebra by Arthur Schultze




Elements of Algebra - Table of Contents

  • 1. Introduction to Algebraic Concepts
  • 2. Addition, Subtraction and Parentheses
  • 3. Multiplication Techniques
  • 4. Division Rules
  • 5. Linear Equations and Problems
  • 6. Factoring Methods
  • 7. Highest Common Factor and Lowest Common Multiple
  • 8. Algebraic Fractions
  • 9. Fractional and Literal Equations
  • 10. Ratio and Proportion
  • 11. Simultaneous Equations of the First Degree
  • 12. Graphic Representation of Functions and Equations
  • 13. Involution Principles
  • 14. Evolution Operations
  • 15. Quadratic Equations Involving One Unknown Quantity
  • 16. The Theory of Exponents
  • 17. Radicals and Radical Operations
  • 18. The Factor Theorem
  • 19. Simultaneous Quadratic Equations
  • 20. Arithmetic and Geometric Progressions
  • 21. Binomial Theorem Operations

What You Will Learn in Elements of Algebra

Elements of Algebra by Arthur Schultze is a classic beginner’s guide that makes learning fundamental algebraic operations, linear equations, and quadratic functions simple and approachable. This famous textbook breaks down complex topics like algebraic expressions, positive and negative numbers, fundamental arithmetic operations, linear equations in one and multiple variables, factoring techniques, algebraic fractions, simultaneous linear equations, radicals, exponents, and quadratic equations with one unknown 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. Schultze uses 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: Elements of Algebra by Arthur Schultze
Publisher: The Macmillan Company
Year: 1917
Pages: 377
Type: PDF
Language: English
ISBN-10 #: 1406700339, 1436565111
ISBN-13 #: 978-1436565110, 978-1406700336
License: Public Domain Work
Amazon: Amazon

About the Author: Arthur Schultze

The author Arthur Schultze was an eminent 19th and early 20th-century mathematician, educator, and Assistant Professor of Mathematics at New York University, widely celebrated for authoring highly influential secondary and college mathematics textbooks in algebra and geometry.

Through Elements of Algebra, Schultze delivers a masterfully structured, clear presentation of fundamental algebraic mechanics and problem-solving strategies. His logical progression, extensive drill exercises, and practical application examples make this volume a classic reference for elementary and intermediate algebra valued by educators and students worldwide.


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