Math for Scientists Refreshing the Essentials
Accessible and comprehensive, this guide is an indispensable tool for anyone in the sciences – new and established researchers, students and scientists – looking either to refresh their math skills or to prepare for the broad range of math, statistical and data-related challenges they are likely to...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2023, 2023
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| Edition: | 2nd ed. 2023 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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