Advanced Algebra by Herbert E. Hawkes
Advanced Algebra - Table of Contents
- Part-I: Algebra to Quadratics
- 1. Fundamental Operations
- 2. Factoring Methods
- 3. Algebraic Fractions
- 4. Simple and Fractional Equations
- 5. Ratio and Proportion
- 6. Irrational Numbers and Radicals
- 7. Theory of Indices
- Part-II: Quadratics and Beyond
- 8. Quadratic Equations Methods
- 9. Graphical Representation
- 10. Simultaneous Quadratic Equations in Two Variables
- 11. Mathematical Induction
- 12. Binomial Theorem Expansion
- 13. Arithmetical Progression
- 14. Geometrical Progression
- Part-III: Advanced Algebra
- 15. Permutations and Combinations
- 16. Complex Numbers Analysis
- 17. Theory of Polynomial Equations
- 18. Determinants and Systems
- Part-IV: Special Topics
- 19. Partial Fractions Decomposition
- 20. Logarithms and Computation
- 21. Continued Fractions
- 22. Algebraic Inequalities
- 23. Variation Principles
- 24. Probability and Chance
- 25. Scales of Notation
What You Will Learn in Advanced Algebra
Advanced Algebra by Herbert E. Hawkes is a classic intermediate guide that makes learning advanced algebraic operations, polynomial functions, and analytical reasoning simple and approachable. This famous textbook breaks down complex topics like quadratic equations in two variables, complex numbers and De Moivre's principles, mathematical induction, ratio, proportion, and variation, arithmetic and geometric progressions, permutations and combinations, determinants, partial fractions decomposition, and the theory of equations into easy-to-understand explanations. Ideal for students and self-learners, it removes the academic confusion often associated with higher mathematics.
Perfect for college preparatory and intermediate algebra students, this foundational text helps readers build an intuitive understanding of mathematical concepts. Hawkes uses clear, informal language and practical examples 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 advanced algebra books for students worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering intermediate algebra with confidence.
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 distinguished American mathematician, educator, and long-serving Dean of Columbia College, widely celebrated for his contributions to algebraic research and his co-authorship of influential mathematics textbooks.
Through Advanced Algebra, Hawkes delivers a masterfully structured, clear presentation of higher algebraic principles and rigorous problem-solving strategies. His logical structure, clear proofs, and thorough exposition make this volume a classic reference for advanced high school and early college mathematics valued by educators and students worldwide.
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