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A New Algebra by Samuel Barnard, J. M. Child




A New Algebra - Table of Contents

Part I: Natural Numbers
  • 1. Laws of Counting
  • 2. Laws of Addition and Subtraction
  • 3. Equations and Problems
  • 4. Laws of Multiplication
  • 5. The Distributive Law
  • 6. Algebraic Factors
  • 7. Equations and Problems (Continued)
  • 8. Laws of Division
  • 9. Evolution
  • 10. Graphical Representation of Number
Part II: Zero and Negative Numbers
  • 11. The Extended Scale
  • 12. Addition and Subtraction
  • 13. Graphical Representation of Number
  • 14. Multiplication, Division, Powers and Roots
  • 15. Miscellaneous Factors, H.C.F. and L.C.M.
  • 16. Long Multiplication & Division Transformation
Part III: Rational Numbers
  • 17. Algebraic Fractions
  • 18. Simplification of Fractions
  • 19. Long Multiplication & Division Transformation
  • 20. Equal and Unequal Fractions
  • 21. Fractions in Measurement
  • 22. Equations and Problems
  • 23. Algebraic Graphs
  • 24. Quadratic Equations
  • 25. Problems Involving Quadratics

What You Will Learn in A New Algebra

A New Algebra by Samuel Barnard and J.M. Child is an authoritative, classic textbook crafted for high school and early undergraduate students in mathematics. Serving as an essential open study guide, this volume provides a structured framework for classical algebra and algebraic equation problem solving practice.

The textbook systematically covers algebraic notation, fundamental operations, factorization, linear equations, simultaneous equations, quadratic equations, ratios, proportions, progressions, and logarithmic fundamentals. By combining rigorous logical proofs with extensive graded practice problems, Barnard and Child enable readers to execute complex algebraic manipulations and polynomial simplifications with confidence.

Treasured globally by mathematics educators, self-learners, and students preparing for competitive examinations, this timeless text serves as an outstanding self-study guide. Barnard and Child’s pedagogical clarity equips learners with vital algebraic reasoning required for mastering modern foundational algebra principles.

Book Details & Specifications

Title: A New Algebra by Samuel Barnard, J. M. Child
Publisher: Macmillan
Year: 1908
Pages: 396
Type: PDF
Language: English
ISBN-10 #: 1016604378
ISBN-13 #: 978-1016604376
License: Public Domain Work
Amazon: Amazon

About the Author: Samuel Barnard and James Mark Child

The author Samuel Barnard and James Mark Child were renowned 20th-century British mathematics educators and authors, celebrated for authoring authoritative textbooks in algebra, geometry, and calculus for schools and colleges.

Their classic works stand as foundational elementary algebra, pure mathematics, and classical problem solving study guides.


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