Maurits, Natasha. Math for Scientists : Refreshing the Essentials / [electronic resource] : / by Natasha Maurits, Branislava Ćurčić-Blake.. — 1st ed. 2017.. — XIII, 233 p. 125 illus., 70 illus. in color. : online resource.
1.Preface -- 2.Numbers and mathematical symbols: natural, rational, irrational and complex numbers/complex plane: formula reading, often used symbols in mathematical formulas -- 3.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) -- 4.Trigonometry: trigonometric ratios, angles: trigonometric functions (sin, cos, tan) and their complex definitions: epicycles: Fourier series and transform -- 5.Vectors: geometric interpretation of vectors: vector addition/subtraction, scalar multiplication: projections: inner product (including related aspects such as correlation, independence and orthogonality) -- 6.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 -- 7.Differentiation: limits and infinity: continuity of a function: the differential: basic differentiation rules: partial differential equations: introduction to dynamic systems -- 8.Integration: explanation in terms of antiderivatives and area under the curve: basic integration rules: convolution.
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Анотація: 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 encounter in their work or studies. In addition to helping scientists improve their knowledge of key mathematical concepts, this unique book will help readers: · Read mathematical symbols · Understand formulas, data or statistical information · Determine medication equivalents · Analyze neuroimaging Mathematical concepts are presented alongside illustrative and useful real-world scientific examples and are further clarified through practical pen-and-paper exercises. Whether you are a student encountering high-level mathematics in your research or a seasoned scientist looking to refresh or strengthen your understanding, Math for Scientists: Refreshing the Essentials will be the book you reach for again and again. .
9783319573540
10.1007/978-3-319-57354-0 doi
Mathematics. Popular works. Life sciences. Study Skills. Popular Science in Mathematics. Popular Science, general. Life Sciences, general. Study and Learning Skills.