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

Book 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

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

About Author :-
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".

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