Keywords:
Mathematics.
;
Engineering.
;
Life sciences.
;
Social sciences.
;
Humanities.
;
Science.
Description / Table of Contents:
Preface -- Numbers and mathematical symbols: natural, rational, irrational and complex numbers/complex plane: formula reading, often used symbols in mathematical formulas -- Equations: equalities and inequalities: expansions, series: fractional equations: equation solving techniques: various rules (such as Cramer’s rule) to solve equations: introduction to basic functions (e.g. square, square root) -- Trigonometry: trigonometric ratios, angles: trigonometric functions (sin, cos, tan) and their complex definitions: epicycles: Fourier series and transform -- Vectors: geometric interpretation of vectors: vector addition/subtraction, scalar multiplication: projections: inner product (including related aspects such as correlation, independence and orthogonality) -- Matrices: basic matrix manipulations e.g. multiplication and inversion with examples such as the Jacobian, affine transformation, and rotation: Principal Component analysis in matrix notation -- Differentiation: limits and infinity: continuity of a function: the differential: basic differentiation rules: partial differential equations: introduction to dynamic systems -- Integration: explanation in terms of antiderivatives and area under the curve: basic integration rules: convolution -- statistics -- differential equations.
Type of Medium:
Online Resource
Pages:
1 Online-Ressource(XVIII, 309 p. 118 illus., 58 illus. in color.)
Edition:
2nd ed. 2023.
ISBN:
9783031441400
URL:
https://doi.org/10.1007/978-3-031-44140-0
DOI:
10.1007/978-3-031-44140-0
Language:
English
Permalink
