A Text-Book on Advanced Algebra and Trigonometry by William Brenke
Advanced Algebra and Trigonometry - Table of Contents
- 1. The Operations of Algebra
- 2. Involution, Evolution, Surds & Imaginaries
- 3. Logarithms & Positive Binomial Theorem
- 4. Linear Equations & System Solvers
- 5. Quadratic Equations & Roots Analysis
- 6. Ratio, Proportion, Variation
- 7. The Trigonometric Functions
- 8. Functions of Several Angles
- 9. Inverse Functions Trigonometric Equations
- 10. Oblique Plane Triangles
- 11. The Progressions, Interest and Annuities
- 12. Infinite Series
- 13. Functions, Derivatives, Maclaurin's Series
- 14. Computation, Approximations, Differences and Interpolation
- 15. Undetermined Coefficients Partial Fractions
- 16. Determinants
- 17. Polar Coordinates Complex Numbers De Moivre's Theorem Exponential Values of sin x and cos x Hyperbolic Functions
- 18. Permutations Combinations Chance
- 19. Theory of Equations
- 20. Spherical Trigonometry
What You Will Learn in Advanced Algebra and Trigonometry
Advanced Algebra and Trigonometry by William Charles Brenke is an authoritative, classic college-level mathematical textbook published by the Century Company that provides a comprehensive, systematically structured transition from foundational high school algebra to advanced analytical trigonometry and college algebra. This foundational volume guides readers through involution power operations, evolution root extraction methods, general theory of rational and irrational exponents, simplification of surds, arithmetic of imaginary and complex numbers, logarithmic rules and natural logarithms, the binomial theorem for positive integral exponents, linear equations in one and several variables, matrix determinant solvers, and quadratic equation algorithms with exceptional pedagogical clarity and logical rigor.
Designed for undergraduate STEM majors, secondary mathematics educators, engineering students, and college algebra self-learners, this classic work bridges elementary arithmetic manipulation directly with advanced trigonometric and functions analysis. Brenke details step-by-step algebraic derivations, radical simplification techniques, logarithmic computation methods, complex plane operations, and explicit quadratic factorization algorithms. Whether you are reviewing historical methods of early 20th-century American university instruction, building computational fluency for calculus, or mastering classical algebraic identities, this book offers an indispensable roadmap.
Recognized globally for its rigorous problem sets and clear exposition, it stands as one of the best classical references for mastering advanced college algebra and introductory trigonometry. By connecting radical algebra and exponent rules directly to exponential equations and quadratic solvers, it serves as an essential tool for learning advanced algebra with confidence.
Book Details & Specifications
Title:
A Text-Book on Advanced Algebra and Trigonometry by William Brenke
Publisher:
The Century Co.
Year:
1910
Pages:
368
Type:
PDF
Language:
English
ISBN-10 #:
1436754682
ISBN-13 #:
978-1436754682
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Charles Brenke
The author William Charles Brenke
(1874–1964) was an eminent American mathematician and Professor of Mathematics at the University of Nebraska, widely celebrated for his clear, rigorous university textbooks in advanced algebra, spherical trigonometry, and differential equations.
Through Advanced Algebra and Trigonometry, Brenke delivers a masterfully structured, accessible introduction to higher algebraic techniques and exponential theory. His clear problem sets, step-by-step radical derivations, and practical application examples make this volume a classic reference for college algebra and advanced trigonometry valued by educators and students worldwide.
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