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Advanced Algebra by Arthur Schultze




Advanced Algebra - Table of Contents

  • 1. Introduction
  • 2. Addition, Subtraction, and Parentheses
  • 3. Multiplication
  • 4. Division
  • 5. Linear Equations and Problems
  • 6. Factoring
  • 7. Highest Common Factor & Lowest Common Multiple
  • 8. Fractions
  • 9. Fractional and Literal Equations
  • 10. Ratio and Proportion
  • 11. Simultaneous Equations of the First Degree
  • 12. Involution
  • 13. Evolution
  • 14. Theory of Exponents
  • 15. Radicals
  • 16. The Factor Theorem
  • 17. Graphic Representation of Functions and Equations
  • 18. Quadratic Equations
  • 19. Simultaneous Quadratic Equations
  • 20. Properties of Quadratic Equations
  • 21. Progressions
  • 22. Binomial Theorem
  • 23. Inequalities
  • 24. Variables and Limits
  • 25. Imaginary and Complex Numbers
  • 26. Permutations and Combinations
  • 27. Determinants
  • 28. Theory of Equations
  • 29. Solution of Higher Equations

What You Will Learn in Advanced Algebra

Advanced Algebra by Arthur Schultze is a comprehensive and structured classic textbook designed to bridge intermediate algebra with college-level mathematics. Serving as an essential academic reference, this volume provides a robust foundation for advanced algebra problem solving practice.

The book systematically covers quadratic equations, complex numbers, inequalities, mathematical induction, permutations, combinations, determinants, mathematical series, and theory of equations. By placing strong emphasis on logical proofs and structured exercise sets, Schultze enables students to perform essential algebraic derivations and formula solutions with precision.

Treasured for its pedagogical clarity, clear examples, and timeless mathematical rigor, this treatise remains an invaluable learning guide. Schultze’s systematic methodology equips learners with necessary analytical tools required for mastering modern advanced algebra principles.

Book Details & Specifications

Title: Advanced Algebra by Arthur Schultze
Publisher: The Macmillan company
Year: 1906
Pages: 588
Type: PDF
Language: English
ISBN-10 #: B00BK83F3K, 1298967147
ISBN-13 #: 978-1298967145
License: Public Domain Work
Amazon: Amazon

About the Author: Arthur Schultze

The author Arthur Schultze (1861–1937) was a distinguished educator, mathematician, and Head of the Department of Mathematics at DeWitt Clinton High School in New York, as well as an Assistant Professor at New York University.

Throughout his career, Professor Schultze authored widely acclaimed secondary and collegiate mathematics textbooks, providing generations of students with clear algebra and geometry study guides.


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