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    Higher Algebra
    Cód:
    491_9781443730860
    HIGHER ALGEBRA by S. BARNARD. First published in 1936. Contents include: ix CHAPTER EXERCISE XV ( 128). Minors, Expansion in Terms of Second Minors ( 132, 133). Product of Two Iteterminants ( 134). Rectangular Arrays ( 135). Reciprocal Deteyrrtlilnts, Two Methods of Expansion ( 136, 137). Use of Double Suffix, Symmetric and Skew-symmetric Determinants, Pfaffian ( 138-143), EXERCISE XVI ( 143) X. SYSTEMS OF EQUATIONS. Definitions, Equivalent Systems ( 149, 150). Linear Equations in Two Unknowns, Line at Infinity ( 150-152). Linear Equations in Three Unknowns, Equation to a Plane, Plane at Infinity ( 153-157). EXERCISE XVII ( 158). Systems of Equations of any Degree, Methods of Solution for Special Types ( 160-164). EXERCISE XVIII ( 164). XL RECIPROCAL AND BINOMIAL EQUATIONS. Reduction of Reciprocal Equations ( 168-170). The Equation x n - 1= 0, Special Roots ( 170, 171). The Equation x n - A = 0 ( 172). The Equation a 17 - 1 == 0, Regular 17-sided Polygon ( 173-176). EXERCISE XIX ( 177). AND BIQUADRATIC EQUATIONS. The Cubic Equation ( roots a, jS, y), Equation whose Roots are ( - y) 2 , etc., Value of J, Character of Roots ( 179, 180). Cardans Solution, Trigonometrical Solution, the Functions a - f eo/? - f-\> V> a-f a> 2 4-a> y ( 180, 181). Cubic as Sum of Two Cubes, the Hessftfh ( 182, 183). Tschirnhausens Transformation ( 186). EXERCISE XX ( 184). The Biquadratic Equation ( roots a, , y, 8) ( 186). The Functions A= y + aS, etc., the Functions /, J, J, Reducing Cubic, Character of Roots ( 187-189). Ferraris Solution and Deductions ( 189-191). Descartes Solution ( 191). Conditions for Four Real Roots ( 192-ty). Transformation into Reciprocal Form ( 194). Tschirnhausens Trans formation ( 195). EXERCISE XXI ( 197). OP IRRATIONALS. Sections of the System of Rationals, Dedekinds Definition ( 200, 201). Equality and Inequality ( 202). Use of Sequences in defining a Real Number, Endless Decimals ( 203, 204). The Fundamental Operations of Arithmetic, Powers, Roots an
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