• 자연과학/공학 > 각종 교양과학 > 수학의 이해

출판사 리뷰

Preface 3
저자 소개 4
이 책의 특징 5
TOPIC 1 Essence of Graphs
11 | Graphs in Cartesian Coordinates10
12 | Distance formula and Midpoint formula11
13 | Symmetry12
14 | Application of Analytic Geometry:Circles and Quadratic Curves16

TOPIC 2 Essence of Functions
21 | Function Basics30
22 | Function Arithmetic32
23 | Domain and Range35
24 | Composition of Functions80
25 | Inverse Function83

TOPIC 3 Revisiting Logs and Exponentials
31 | Exponential and Logarithmic Functions90
32 | Exponential and Logarithmic Property95

TOPIC 4 Trigonometric Ratio
41 | Basic Ratio108
42 | Extension of Basic Ratio110

TOPIC 5 Trigonometric Functions
51 | Graphs of Primary Trigonometric Functions122
52 | Transformation of Sinusoidal Functions130
53 | Graphs of Reciprocal Trigonometric Functions132
54 | Maximum and minimum of Trigonometric Functions137
55 | Solving Trigonometric Equations139
56 | Inverse Trigonometric Functions146

TOPIC 6 Trigonometric Identities
61 | Sum and Difference Formula156
62 | Double-Angle and Half-Angle Formula159
63 | Product-to-Sum Formula and Vice Versa161

TOPIC 7 Application of Trigonometry
71 | Law of Sines and Law of Cosines174
72 | Vectors in the Plane181
73 | Dot Product or Scalar Product183
74 | Vector Algebra186
75 | Complex Numbers190
76 | Fundamental Theorem of Algebra193
77 | Complex Numbers in Polar Form195
78 | Multiplication and Division of Complex Numbers in Polar Form197
79 | De Moivre's Theorem198

TOPIC 8 Polar Coordinates and Graphs
81 | Polar Coordinates210
82 | Rectangular Coordinates and Polar Coordinates212
83 | Transforming Equations215
84 | Polar Equation of a Line216
85 | Polar Equation of a Circle219
86 | Polar Expressions for Other Conic Sections221
87 | Cardioid, Limacon, Rose and Lemniscate225

TOPIC 9 Matrices
91 | Multiplication Methods for 3×3 Matrices240
92 | Inverse Matrices for 3×3 Matrices243
93 | Elementary Matrices247
94 | Snapshot of Eigenvalue253

Solution Manual