A New Algebra by Samuel Barnard, J. M. Child
A New Algebra - Table of Contents
PART I. NATURAL NUMBERS
1. The Laws of Counting
2. Laws of Addition and Subtraction
3. Equations and Problems
4. Laws of Multiplication
5. The Distributive Law
6. 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 and Division; The Division Transformation
PART III. RATIONAL NUMBERS
17. Fractions
18. Simplification of Fractions
19. Long Multiplication and the Division Transformation
20. Equal and Unequal Fractions
21. Fractions in Measurement
22. Equations and Problems
23. 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 a classic textbook designed to provide a clear and systematic approach to learning "algebra". The book introduces students to foundational concepts, making it suitable for high school and early college learners. It covers essential topics such as "basic operations, equations, factors, polynomials, and ratios", helping learners gradually build their understanding of algebraic principles.
The book emphasizes "clarity" and step-by-step instruction, with numerous examples and exercises that reinforce learning. Each chapter is structured to guide students from simpler concepts to more complex problems, ensuring they develop confidence in solving algebraic equations and applying their knowledge in practical scenarios. The explanations are straightforward, making abstract concepts easier to grasp and retain.
Barnard and Child’s approach combines theory with "problem-solving", encouraging students to practice extensively while understanding the logic behind each method. With its organized structure and abundant exercises, "A New Algebra" remains a trusted resource for students, teachers, and self-learners. It provides a solid foundation in "algebra", preparing learners for more advanced mathematics and helping them develop strong analytical and critical thinking skills.
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 early 20th-century mathematics educators known for their clear and structured approach to teaching "algebra". Barnard, a former Fellow and Lecturer at Emmanuel College, Cambridge, and Child, a lecturer at the University of Manchester, collaborated to create textbooks that focused on "conceptual understanding" rather than memorization. Their book, "A New Algebra", emphasizes "foundational mathematics" and problem-solving skills, making it accessible to students. Although personal details about the authors are limited, their work continues to influence "mathematics education" and remains a key reference for learning "algebraic principles".
Read or Downloadable A New Algebra
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