ریاضیات برای فیزیک‌دانان (پیش‌نویس)

Mathematics as the language for physics......Page 11 The product of two powers......Page 13 Exponential Function......Page 14 The Logarithmic Function......Page 15 Trigonometric functions......Page 16 Trigonometric identities......Page 18 Inverse Trig Functions......Page 20 Polar Coordinates......Page 21 Polar curves......Page 22 What is a vector?......Page 25 Negative of a vector......Page 26 Triangle Law......Page 27 Associativity......Page 28 Components in 2 dimensions......Page 29 Sum and Difference of vectors in Component Form......Page 30 Scaling of Vector......Page 31 The scalar or dot product......Page 32 Component form of dot product......Page 33 Work......Page 34 The vector product......Page 35 *triple products*......Page 36 Some physical examples......Page 37 Standard form of L......Page 38 Differential of a sum......Page 41 Function of a function (chain rule)......Page 42 Differential of inverse function......Page 43 Implicit Differentiation......Page 44 Differentiation of parametric equations......Page 45 Vector functions......Page 46 Polar curves......Page 47 Partial derivatives......Page 48 Multiple partial derivatives......Page 51 Application of differentiation: Calculation of small errors......Page 52 Inverse of differentiation......Page 53 Strategy......Page 54 Type 1......Page 55 Type 2......Page 56 Integration by Parts......Page 57 Integrals of the form I=(px+q)/(x2+ax+b) d x......Page 59 Completing the Square......Page 60 Partial fractions......Page 61 Integrals with square roots in denominator......Page 64 Area between two curves......Page 67 Basic Derivation of Area Formula......Page 68 Volumes of Revolution......Page 69 First moment of the area about the y axis......Page 70 First Moment of the area about the x axis......Page 72 Centroid of a plane area......Page 73 Second Moment of Area......Page 74 introduction......Page 75 Separable type......Page 76 linear type......Page 78 Homogeneous Type......Page 79 Bernoulli's Equation......Page 81