Search Results - The Divergent Series
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3000 solved problems in calculus
Published 1988Table of Contents: “…Inequalities -- Absolute value -- Lines -- Circles -- Functions and their graphs -- Limits -- Continuity -- The derivative -- The chain rule -- Trigonometric functions and their derivatives -- Rolle's theorem, the mean value theorem, and the sign of the derivative -- Higher-order derivatives and implicit differentiation -- Maxima and Minima -- Related rates -- Curve sketching (graphs) -- Applied maximum and minimum problems -- Rectilinear motion -- Approximation by differentials -- Antiderivatives (indefinite integrals) -- The definite integral and the fundamental theorem of calculus -- Area and arc length -- Volume -- The natural logarithm -- Exponential functions -- L'Hôpital's rule -- Exponential growth and decay -- Inverse trigonometric functions -- Integration by parts -- Trigonometric integrands and substitutions -- Integration of rational functions : the method of partial fractions -- Integrals for surface area, work, centroids : surface area of a solid of revolution, work, centroid of a planar region -- Improper integrals -- Planar vectors -- Parametric equations, vector functions, curvilinear motion : parametric equations of plane curves, vector-valued functions -- Polar coordinates -- Infinite sequences -- Infinite series -- Power series -- Taylor and MacLaurin series -- Vectors in space : lines and planes -- Functions of several variables : multivariate functions and their graphs, cylindrical and spherical coordinates -- Partial derivatives -- Directional derivatives and the gradient : extreme values -- Multiple integrals and their applications -- Vector functions in space, divergence and curl, line integrals -- Differential equations.…”
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Mathematical analysis for engineers
Published 2012Table of Contents: “…Applications to partial differential equations -- Exercises: Differential operators of mathematical physics -- Line integrals -- Gradient vector fields -- Green theorem -- Surface integrals -- Divergence theorem -- Stokes theorem -- Holomorphic functions and Cauchy-Riemann equations -- Complex integration -- Laurent series -- Residue theorem and applications -- Conformal mapping -- Fourier series -- Fourier transform -- Laplace transform -- Applications to ordinary differential equations -- Applications to partial differential equations…”
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Mathematical analysis for engineers
Published 2012Table of Contents: “…Applications to partial differential equations -- Exercises: Differential operators of mathematical physics -- Line integrals -- Gradient vector fields -- Green theorem -- Surface integrals -- Divergence theorem -- Stokes theorem -- Holomorphic functions and Cauchy-Riemann equations -- Complex integration -- Laurent series -- Residue theorem and applications -- Conformal mapping -- Fourier series -- Fourier transform -- Laplace transform -- Applications to ordinary differential equations -- Applications to partial differential equations…”
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Mathematics for engineers
Published 2010Table of Contents: “…Complex integrations -- 41. Power series and expansion in series -- 42. Singularities -- 43. …”
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