Introduction To Higher Algebra by Maxime Boucher
Introduction To Higher Algebra - Table of Contents
- 1. Polynomials and Their Most Fundamental Properties
- 2. Properties of Determinants
- 3. Theory of Linear Dependence
- 4. Linear Equations
- 5. Rank of a Matrix
- 6. Linear Transformations & Combination of Matrices
- 7. Invariants: First Principles and Illustrations
- 8. Bilinear Forms
- 9. Geometric Introduction to Quadratic Forms
- 10. Quadratic Forms
- 11. Real Quadratic Forms
- 12. Quadratic Forms and Linear Forms System
- 13. Pairs of Quadratic Forms
- 14. Properties of Polynomials in General
- 15. Factors of Polynomials and Binary Forms
- 16. Factors of Polynomials in Several Variables
- 17. General Theorems on Integral Rational Invariants
- 18. Symmetric Polynomials
- 19. Polynomials Symmetric in Pairs of Variables
- 20. Elementary Divisors and Equivalence of Matrices
- 21. Equivalence & Classification of Bilinear Forms
- 22. Equivalence & Classification of Quadratic Forms
What You Will Learn in Introduction To Higher Algebra
Introduction to Higher Algebra by Maxime Bôcher is a seminal mathematics textbook prepared for advanced undergraduate students, mathematicians, and researchers. As an essential classic guide, this volume establishes a rigorous foundation in linear algebra, polynomial theory, and higher algebraic structures.
The textbook systematically covers polynomials, determinants, systems of linear equations, vector spaces, matrices, linear transformations, invariants, quadratic forms, and Hermitian forms. By combining clear geometric intuition with algebraic precision, Bôcher equips readers to execute complex matrix operations and polynomial algebraic calculations with clarity.
Celebrated globally for decades by university educators and algebraists for its logical progression and historical depth, this classic monograph serves as an invaluable self-study resource. Bôcher's classic exposition prepares learners with core tools essential for mastering higher algebra and modern linear analysis.
Book Details & Specifications
Title:
Introduction To Higher Algebra by Maxime Boucher
Publisher:
The Macmillan Company
Year:
1907
Pages:
332
Type:
PDF
Language:
English
ISBN-10 #:
9391270840
ISBN-13 #:
978-9391270841
License:
Public Domain Work
Amazon:
Amazon
About the Author: Maxime Boucher
The author Maxime Boucher
(1867–1918) was a distinguished American mathematician, professor at Harvard University, and co-founder of the American Mathematical Society (AMS) Transactions.
His pioneering textbooks remain benchmark historical works in higher algebra, differential equations, and pure mathematics.
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