LEADER 04759nam 22007335 450 001 9910763597003321 005 20250502133152.0 010 $a9783031441400 010 $a3031441400 024 7 $a10.1007/978-3-031-44140-0 035 $a(MiAaPQ)EBC30881070 035 $a(Au-PeEL)EBL30881070 035 $a(DE-He213)978-3-031-44140-0 035 $a(CKB)28817573100041 035 $a(MiFhGG)9783031441400 035 $a(EXLCZ)9928817573100041 100 $a20231110d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMath for Scientists $eRefreshing the Essentials /$fby Natasha Maurits, Branislava ?ur?i?-Blake 205 $a2nd ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (319 pages) 311 08$aPrint version: Maurits, Natasha Math for Scientists Cham : Springer International Publishing AG,c2023 9783031441394 320 $aIncludes bibliographical references and index. 327 $aPreface -- 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. 330 $aAccessible 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 data 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. In this new edition, two new chapters covering statistics and differential equations have been added, which have been workshopped in the 'authors' popular lecture series in order to maximize the benefit for readers. 606 $aMathematics 606 $aEngineering 606 $aLife sciences 606 $aSocial sciences 606 $aHumanities 606 $aScience 606 $aMathematics 606 $aTechnology and Engineering 606 $aLife Sciences 606 $aHumanities and Social Sciences 606 $aPhysical Sciences 606 $aMathematics and Computing 615 0$aMathematics. 615 0$aEngineering. 615 0$aLife sciences. 615 0$aSocial sciences. 615 0$aHumanities. 615 0$aScience. 615 14$aMathematics. 615 24$aTechnology and Engineering. 615 24$aLife Sciences. 615 24$aHumanities and Social Sciences. 615 24$aPhysical Sciences. 615 24$aMathematics and Computing. 676 $a510 700 $aMaurits$b Natasha M.$0888902 702 $aCurcic-Blake$b Branislava 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910763597003321 996 $aMath for Scientists$91985616 997 $aUNINA