A Review of Algebra by Romeyn Henry Rivenburg
A Review of Algebra - Table of Contents
- 1. Outline of Elementary and Intermediate Algebra
- 2. Order of Operations, Evaluation, Parentheses
- 3. Special Rules of Multiplication and Division
- 4. Cases in Factoring
- 5. Factoring Methods and Applications
- 6. Highest Common Factor and Lowest Common Multiple
- 7. Fractions Principles
- 8. Complex Fractions and Fractional Equations
- 9. Simultaneous Equations and Involution
- 10. Square Root Extraction
- 11. Theory of Exponents
- 12. Radicals and Irrational Expressions
- 13. Miscellaneous Examples, Algebra to Quadratics
- 14. Quadratic Equations Methods
- 15. The Theory of Quadratic Equations
- 16. Outline of Simultaneous Quadratics
- 17. Simultaneous Quadratics Systems
- 18. Ratio and Proportion Principles
- 19. Arithmetical Progression
- 20. Geometrical Progression
- 21. The Binomial Theorem Expansion
- 22. Miscellaneous Examples, Quadratics and Beyond
- 23. Problems—Linear Equations, Simultaneous Equations
- 24. Quadratic Equations, Simultaneous Quadratics
- 25. College Entrance Examinations
What You Will Learn in A Review of Algebra
A Review of Algebra by Romeyn Henry Rivenburg is a classic review guide designed to make consolidating elementary and intermediate algebra simple and approachable for high school seniors and college entrance candidates. This famous review textbook breaks down complex topics like order of operations, cases in factoring, highest common factor and lowest common multiple, complex fractions, simultaneous linear equations solving, involution, square roots, theory of exponents and radicals, quadratic equations and discriminant theory, simultaneous quadratics, ratio and proportion, arithmetical and geometrical progressions, and the binomial theorem expansion into easy-to-understand outlines and exercise sets. Ideal for students and self-learners, it removes the academic confusion often associated with higher mathematics through systematic revision.
Perfect for high school and introductory college algebra students, this foundational text helps readers build an intuitive understanding of mathematical concepts through structured drill material. Rivenburg uses clear, informal language and authentic entrance exam questions 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 algebra review books for students worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering secondary algebra with confidence.
Book Details & Specifications
Title:
A Review of Algebra by Romeyn Henry Rivenburg
Publisher:
American Book Company
Year:
1914
Pages:
80`
Type:
PDF
Language:
English
ISBN-10 #:
B006CN21OW, 1533305390
ISBN-13 #:
978-1533305398
License:
Public Domain Work
Amazon:
Amazon
About the Author: Romeyn Henry Rivenburg
The author Romeyn Henry Rivenburg
was a prominent American educator and Master of Mathematics at The Peddie School in Hightstown, New Jersey, widely celebrated for compiling concise, outcome-oriented algebra review manuals designed for university preparation.
Through A Review of Algebra, Rivenburg delivers a masterfully structured, clear presentation of fundamental algebraic mechanics and problem-solving strategies. His logical progression, well-graded exam-style exercise sets, and emphasis on intuitive clarity make this volume a classic reference for introductory algebra review valued by educators and students worldwide.
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