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What is Introduction To Higher Algebra about?

1 (p1): CHAPTER I POLYNOMIALS AND THEIR MOST FUNDAMENTAL PROPERTIES 1 (p1-1): 1.Polynomials in One Variable 4 (p1-2): 2.Polynomials in More than One Variable 8 (p1-3): 3.Geometric Interpretations 11 (p1-4): 4.Homogeneous Coordinates 14 (p1-5): 5.The Continuity of Polynomials 16 (p1-6): 6.The Fundamental Theorem of Algebra 20 (p2): CHAPTER II A FEW PROPERTIES OF DETERMINANTS 20 (p2-1): 7.Some Definitions 24 (p2-2): 8.Laplace's Development 26 (p2-3): 9.The Multiplication Theorem 28 (p2-4): 10.Bordered Determinants 30 (p2-5): 11.Adjoint Determinants and their Minors 34 (p3): CHAPTER III THE THEORY OF LINEAR DEPHNDENCE 34 (p3-1): 12.Definitions and Preliminary Theorems 36 (p3-2): 13.The Condition for Linear Dependence of Sets of Constants 38 (p3-3): 14.The Linear Dependence of Polynomials 39 (p3-4): 15.Geometric Illustrations 43 (p4): CHAPTER IV LINEAR EQUATIONS 43 (p4-1): 16.Non-Homogeneous Linear Equations 47 (p4-2): 17.Homogeneous Linear Equations 49 (p4-3): 18.Fundamental Systems of Solutions of Homogeneous Linear Equations 54 (p5): CHAPTER V SOME THEOREMS CONCERNING THE RANK OF A MATRIX 54 (p5-1): 19.General Matrices 56 (p5-2): 20.Symmetrical Matrices 60 (p6): CHAPTER VI LINEAR TR

Author

MAXIME BOCHER

Published

1800

Language

EN