Rustumova
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Русский
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Entries: 48
И.П.Рустюмова
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Preface
Other
Page 3
Chapter I. Rational functions
Theory
Page 4
§ 1. Identical transformations of numerical expressions
Theory
Page 4
§ 2. Identical transformations of rational algebraic expressions
Theory
Page 19
§ 3. Solving rational algebraic equations
Theory
Page 32
§ 4. Solving systems of algebraic equations
Theory
Page 45
§ 5. Solving rational inequalities
Theory
Page 59
§ 6. Solving equations with a variable under the modulus sign
Theory
Page 75
§ 7. Solving inequalities with a variable under the modulus sign
Theory
Page 82
Chapter II. Irrational functions
Theory
Page 90
§ 1. Identical transformations of irrational algebraic expressions
Theory
Page 90
§ 2. Solving irrational equations
Theory
Page 105
§ 3. Solving systems of irrational equations
Theory
Page 113
§ 4. Solving irrational inequalities
Theory
Page 121
Chapter III. Exponential and logarithmic functions
Theory
Page 130
§ 1. Solving exponential equations
Theory
Page 130
§ 2. Solving exponential inequalities
Theory
Page 140
§ 3. Identical transformations of logarithmic expressions
Theory
Page 151
§ 4. Solving logarithmic equations
Theory
Page 164
§ 5. Solving logarithmic inequalities
Theory
Page 178
§ 6. Solving systems of exponential and logarithmic equations
Theory
Page 193
Chapter IV. Trigonometric functions
Theory
Page 208
§ 1. Trigonometric transformations
Theory
Page 208
§ 2. Solving trigonometric equations
Theory
Page 229
§ 3. Solving trigonometric inequalities
Theory
Page 261
Chapter V. Solving problems related to progressions
Problem
Page 271
§ 1. Arithmetic progression
Theory
Page 271
§ 2. Geometric progression
Theory
Page 283
Chapter VI. Solving word problems
Problem
Page 301
Chapter VII. Foundations of calculus
Theory
Page 328
§ 1. Function and its properties
Theory
Page 328
§ 2. Differentiation of a function
Theory
Page 341
§ 3. Studying a function using the derivative
Theory
Page 360
§ 4. Derivative and equation of the tangent
Theory
Page 373
§ 5. Antiderivative of a function and its calculation
Theory
Page 378
Application of the definite integral
Theory
Page 383
Chapter VIII. Plane geometry
Theory
Page 389
§ 1. Triangles
Theory
Page 389
§ 2. Quadrilaterals
Theory
Page 410
§ 3. Circumference and circle
Theory
Page 427
Chapter IX. Solid geometry
Theory
Page 433
§ 1. Calculating distances and angles in space
Theory
Page 433
§ 2. Polyhedra
Theory
Page 445
§ 3. Solids of revolution
Theory
Page 458
Chapter X. Elements of analytic geometry and vector algebra
Theory
Page 483
§ 1. Cartesian coordinates
Theory
Page 483
§ 2. Vectors in the plane and in space
Theory
Page 495
Chapter XI. Logic problems
Problem
Page 508
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