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Fundamental Math and Physics for Scientists and Engineers / David Yevick

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: s.l. : Wiley, 2014Description: Online-RessourceISBN:
  • 1322348987
  • 9781118985595
  • 9781322348988
Subject(s): Additional physical formats: 9780470407844 | Erscheint auch als: 9780470407844 Druck-AusgabeDDC classification:
  • 530
  • 510 23
MSC: MSC: *00A06 | 00A05 | 00A79 | 97-01Online resources: Summary: Provides a concise overview of the core undergraduate physics and applied mathematics curriculum for students and practitioners of science and engineering Fundamental Math and Physics for Scientists and Engineers summarizes college and university level physics together with the mathematics frequently encountered in engineering and physics calculations. The presentation provides straightforward, coherent explanations of underlying concepts emphasizing essential formulas, derivations, examples, and computer programs. Content that should be thoroughly mastered and memorized is clearly identified while unnecessary technical details are omitted. Fundamental Math and Physics for Scientists and Engineers is an ideal resource for undergraduate science and engineering students and practitioners, students reviewing for the GRE and graduate-level comprehensive exams, and general readers seeking to improve their comprehension of undergraduate physics. Covers topics frequently encountered in undergraduate physics, in particular those appearing in the Physics GRE subject examination Reviews relevant areas of undergraduate applied mathematics, with an overview chapter on scientific programming Provides simple, concise explanations and illustrations of underlying concepts Succinct yet comprehensive, Fundamental Math and Physics for Scientists and Engineers constitutes a reference for science and engineering students, practitioners and non-practitioners alike.Summary: Cover -- Title page -- Copyright page -- Dedication -- 1 Introduction -- 2 Problem Solving -- 2.1 Analysis -- 2.2 Test-Taking Techniques -- 3 Scientific Programming -- 3.1 Language Fundamentals -- 4 Elementary Mathematics -- 4.1 Algebra -- 4.2 Geometry -- 4.3 Exponential, Logarithmic Functions, and Trigonometry -- 4.4 Analytic Geometry -- 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 Matrices -- 5.8 Groups and Matrix Generators -- 5.9 Eigenvalues and Eigenvectors -- 5.10 Similarity Transformations -- 6 Calculus of a Single Variable -- 6.1 Derivatives -- 6.2 Integrals -- 6.3 Series -- 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 -- 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 Identities -- 8.5 Lagrange Multipliers -- 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 -- 10 Complex Analysis -- 10.1 Functions of a Complex Variable -- 10.2 Derivatives, Analyticity, and the Cauchy-Riemann Relations -- 10.3 Conformal Mapping -- 10.4 Cauchy's Theorem and Taylor and Laurent Series.PPN: PPN: 816448302Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE
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