English
About the book: The list of topics covered is quite exhaustive and the book has over 2500 problems and solutions. The topics covered are plane and solid analytic geometry, vector algebra, analysis, derivatives, integrals, series, differential equations etc. A good reference for those looking for many problems to solve. The book was translated from the Russian by Yuri Ermolyev and was first published by Mir Publishers in 1975. Chapter I. Plane Analytic Geometry 11 1.1. Coordinates of a Point on· a Straight Line and in a Plane. The Distance Between Two Points 11 1.2. Dividing a Line Segment in a Given Ratio. The Area of a Triangle and a Polygon 13 1.3. The Equation of a Line as a Locus of Points 15 1.4. The Equation of a Straight Line: (1) Slope-Intercept Form, (2) General Form, (3) Intercept Form 17 1.5. The Angle Between Two Straight Lines. The Equation of a Pencil of Straight Lines Passing Through a Given Point. The Equation of a Straight Line Passing Through Two Given Points. The Point of Intersection of Two Straight Lines 20 1.6. The Normal Equation of a Straight Line. The Distance of a Point from a Straight Line. Equations of Bisectors. The Equations of a Pencil of Straight Lin
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mathematics · problems and solutions · algebra · calculus · geometry · series · differential equations · line integrals · double integrals · quadratic equations