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تحميل Basic Mathematics by Serge Lang

Mathematics 2022-05-10

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عدد الدروس 74

قسم Mathematics

Introduction Basic Mathematics

1 1 Integers Basic Mathematics

1 2 Rules for Addition Basic Mathematics

1 3 Rules for Multiplication Basic Mathematics

1 4 Even and Odd Integers Divisibility Basic Mathematics

1 5 Rationals Basic Mathematics

1 6 Multiplicative inverses Basic Mathematics

2 1 Equations in two unknowns Basic Mathematics

2 2 Equations in three unknowns Basic Mathematics

3 1 Real numbers Addition and subtraction Basic Mathematics

3 2 Real numbers Positivity Basic Mathematics

3 3 Powers and roots Basic Mathematics

3 4 Inequalities Basic Mathematics

4 Quadratic Equations Basic Mathematics

Logic 1 On reading books Basic Mathematics

Logic 2 Logic Basic Mathematics

Logic 3 Sets and Elements Basic Mathematics

Logic 4 Indices Basic Mathematics

Logic 5 Notation Basic Mathematics

Part 2 Intuitive Geometry Basic Mathematics

5 1 Distance Basic Mathematics

5 2 Angles Basic Mathematics

5 3 Pythagoras Theorem Basic Mathematics

6 1 Some Standard Mappings of the Plane Basic Mathematics

6 2 Isometry Basic Mathematics

6 3 Composition of Isometries Basic Mathematics

6 4 Inverse of Isometries Basic Mathematics

6 5 Characterization of Isometries Basic Mathematics

6 6 Congruence Basic Mathematics

7 1 Area of a disc of radius r Basic Mathematics

7 2 Circumference of a Circle of Radius r Basic Mathematics

8 1 Coordinate Systems Basic Mathematics

8 2 Distance Between Points Basic Mathematics

8 3 Equation of a Circle Basic Mathematics

8 4 Rational Points on a Circle Basic Mathematics

9 1 Dilations and Reflections Basic Mathematics

10 1 Segments Basic Mathematics

10 Rays Basic Mathematics

10 3 Lines Basic Mathematics

10 4 Ordinary Equation of the Line Basic Mathematics

11 1 Radian Measure Basic Mathematics

11 2 Sine and Cosine Basic Mathematics

11 3 The Graphs Basic Mathematics

11 4 Tangent Basic Mathematics

11 5 Addition Formula Basic Mathematics

11 6 Rotation Basic Mathematics

12 1 The Straight Line Again Basic Mathematics

12 2 The Parabola Basic Mathematics

12 3 The Ellipse Basic Mathematics

12 4 The Hyperbola Basic Mathematics

12 5 Rotation of Hyperbolas Basic Mathematics

13 1 Definition of a Function Basic Mathematics

13 2 Polynomial Functions 1 2 Basic Mathematics

13 2 Polynomial Functions 2 2 Basic Mathematics

13 3 Graphs of Functions Basic Mathematics

13 4 Exponential Function Basic Mathematics

13 5 Logarithms Basic Mathematics

14 1 Definition of a Mapping Basic Mathematics

14 2 Formalism of Mappings Basic Mathematics

14 3 Permutations 1 3 Basic Mathematics

14 3 Permutations 2 3 Basic Mathematics

14 3 Permutations 3 3 Basic Mathematics

15 1 The Complex Plane Basic Mathematics

15 2 Polar Form Basic Mathematics

16 1 Inductions Basic Mathematics

16 2 Summations Basic Mathematics

16 3 Geometric Series Basic Mathematics

17 Determinants 17 1 Matrices Basic Mathematics

17 2 Determinants of Order 2 Basic Mathematics

17 3 Properties of 2x2 Determinants Basic Mathematics

17 4 Determinants of Order 3 Basic Mathematics

17 5 Properties of 3x3 Determinants Basic Mathematics

17 6 Cramer s Rule Basic Mathematics

Review Basic Mathematics

Mathematics
2022-05-10