Advanced Algebra by Herbert E. Hawkes
Advanced Algebra - Table of Contents
Part-I Algebra to Quadratics
1. Fundamental Operations
2. Factoring
3. Fractions
4. Equations
5. Ratio and Proportion
6. Irrational Numbers and Radicals
7. Theory of Indices
Part-II Quadratics and Beyond
8. Quadratic Equations
9. Graphical Representation
10. Simultaneous Quadratic Equations in two Variables
11. Mathematical Inductions
12. Binomial Theorem
13. Arithmetical Progession
14. Geometrical Progression
Part-III Advanced Algebra
15. Permutations and Combinations
16. Complex Numbers
17. Theory of Equations
18. Determinants
Part-IV Partial Fractions
20. Logarithms
21. Continued Fractions
22. Inequalities
23. Variation
24. Probability
25. Scales of Notation
What You Will Learn in Advanced Algebra
The book Advanced Algebra by Herbert E. Hawkes covers a wide range of topics, including "polynomials", factoring, equations, inequalities, rational and irrational expressions, functions, and logarithms. More advanced concepts such as "complex numbers", sequences, series, and determinants are also included, giving students a thorough understanding of algebraic structures and problem-solving techniques. Each chapter provides step-by-step examples and exercises that progressively increase in difficulty, making it suitable for both beginners and advanced learners.
Hawkes’ writing emphasizes clarity and logical progression, making challenging concepts approachable. While traditional in style, the book remains an effective resource for students preparing for college-level mathematics, standardized tests, or anyone looking to strengthen their algebra skills. With its comprehensive coverage and practical exercises, "Advanced Algebra" by Herbert E. Hawkes continues to be a valuable guide for mastering algebra and building a strong mathematical foundation.
Book Details & Specifications
Title:
Advanced Algebra by Herbert E. Hawkes
Publisher:
Ginn and Company
Year:
1905
Pages:
314
Type:
PDF
Language:
English
ISBN-10 #:
B0006AKBTY, 0265454433
ISBN-13 #:
978-0265454435
License:
Public Domain Work
Amazon:
Amazon
About the Author: Herbert Edwin Hawkes
The author
Herbert Edwin Hawkes
(1872–1943) was a renowned American "mathematician" and educator, best known for his influential work in algebra and long tenure as Dean of Columbia College. He earned his Ph.D. from Yale University and taught mathematics at Columbia, shaping generations of students with his clear, structured approach to learning. Hawkes authored several textbooks, including the classic "Advanced Algebra", making complex algebra concepts accessible to learners. His contributions to "mathematics education" and the development of Columbia’s Core Curriculum highlight his dedication to rigorous, practical teaching.
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