05458cam a2200661Mu 4500 ocn897070173 OCoLC 20171026081324.0 m o d cr cnu---unuuu 141129s2014 xx o 000 0 eng d 016965771 Uk 9781118979792 (electronic bk.) 1118979796 (electronic bk.) 9781118979808 111897980X CHBIS 010442240 CHNEW 000889401 CHVBK 334092787 CHVBK 374481202 DEBBG BV042990236 DEBBG BV043397329 DEBBG BV043613853 DEBSZ 422995231 (OCoLC)897070173 (OCoLC)903611583 EBLCP eng pn EBLCP IDEBK UKMGB DG1 YDXCP DEBSZ RECBK OCLCF DEBBG OCLCQ OCLCO MAIN QA39.3 .Y48 2015 510 Yevick, David. Fundamental Math and Physics for Scientists and Engineers / [electronic resource] Hoboken : Wiley, 2014. 1 online resource (464 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier 11.10 Systems of Equations, Eigenvalues, and Eigenvectors. Fundamental Math and Physics for Scientists and Engineers; Copyright; Contents; Chapter 1 Introduction; Chapter 2 Problem Solving; 2.1 Analysis; 2.2 Test-Taking Techniques; 2.2.1 Dimensional Analysis; Chapter 3 Scientific Programming; 3.1 Language Fundamentals; 3.1.1 Octave Programming; Chapter 4 Elementary Mathematics; 4.1 Algebra; 4.1.1 Equation Manipulation; 4.1.2 Linear Equation Systems; 4.1.3 Factoring; 4.1.4 Inequalities; 4.1.5 Sum Formulas; 4.1.6 Binomial Theorem; 4.2 Geometry; 4.2.1 Angles; 4.2.2 Triangles; 4.2.3 Right Triangles; 4.2.4 Polygons; 4.2.5 Circles. 4.3 Exponential, Logarithmic Functions, and Trigonometry4.3.1 Exponential Functions; 4.3.2 Inverse Functions and Logarithms; 4.3.3 Hyperbolic Functions; 4.3.4 Complex Numbers and Harmonic Functions; 4.3.5 Inverse Harmonic and Hyperbolic Functions; 4.3.6 Trigonometric Identities; 4.4 Analytic Geometry; 4.4.1 Lines and Planes; 4.4.2 Conic Sections; 4.4.3 Areas, Volumes, and Solid Angles; Chapter 5 Vectors and Matrices; 5.1 Matrices and Matrix Products; 5.2 Equation Systems; 5.3 Traces and Determinants; 5.4 Vectors and Inner Products; 5.5 Cross and Outer Products; 5.6 Vector Identities. 5.7 Rotations and Orthogonal Matrices5.8 Groups and Matrix Generators; 5.9 Eigenvalues and Eigenvectors; 5.10 Similarity Transformations; Chapter 6 Calculus of a Single Variable; 6.1 Derivatives; 6.2 Integrals; 6.3 Series; Chapter 7 Calculus of Several Variables; 7.1 Partial Derivatives; 7.2 Multidimensional Taylor Series and Extrema; 7.3 Multiple Integration; 7.4 Volumes and Surfaces of Revolution; 7.5 Change of Variables and Jacobians; Chapter 8 Calculus of Vector Functions; 8.1 Generalized Coordinates; 8.2 Vector Differential Operators; 8.3 Vector Differential Identities. 8.4 Gauss ́s and Stokes ́ Laws and Green ́s Identities8.5 Lagrange Multipliers; Chapter 9 Probability Theory and Statistics; 9.1 Random Variables, Probability Density, and Distributions; 9.2 Mean, Variance, and Standard Deviation; 9.3 Variable Transformations; 9.4 Moments and Moment-Generating Function; 9.5 Multivariate Probability Distributions, Covariance, and Correlation; 9.6 Gaussian, Binomial, and Poisson Distributions; 9.7 Least Squares Regression; 9.8 Error Propagation; 9.9 Numerical Models; Chapter 10 Complex Analysis; 10.1 Functions of a Complex Variable. 10.2 Derivatives, Analyticity, and the Cauchy-Riemann Relations10.3 Conformal Mapping; 10.4 Cauchy ́s Theorem and Taylor and Laurent Series; 10.5 Residue Theorem; 10.6 Dispersion Relations; 10.7 Method of Steepest Decent; Chapter 11 Differential Equations; 11.1 Linearity, Superposition, and Initial and Boundary Values; 11.2 Numerical Solutions; 11.3 First-Order Differential Equations; 11.4 Wronskian; 11.5 Factorization; 11.6 Method of Undetermined Coefficients; 11.7 Variation of Parameters; 11.8 Reduction of Order; 11.9 Series Solution and Method of Frobenius. This text summarizes the core undergraduate physics curriculum together with the mathematics frequently encountered in engineering and physics calculations, focusing on content relevant to practical applications. Covers major undergraduate physics topics including the complete Physics GRE subject examination syllabusOverview of key results in undergraduate applied mathematics and introduces scientific programmingPresents simple, coherent derivations and illustrations of fundamental concepts. Print version record. Mathematics. Physics. Engineers. Mathematics. Physics. Science. Mathematics. fast (OCoLC)fst01012163 Physics. fast (OCoLC)fst01063025 Electronic books. Yevick, Hannah. Print version: Yevick, David. Fundamental Math and Physics for Scientists and Engineers. Hoboken : Wiley, ©2014 9780470407844 http://onlinelibrary.wiley.com/book/10.1002/9781118979792 Wiley Online Library ddc BK 207772 207772