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Twisted calculus in several variables
This book contains below topics, Huber rings, Twisted principal parts in several variables and coordinates, Twisted Connections, Twisted differential operators of infinite level, Twisted calculus of finite radius.
Author(s): Pierre Houédry
60 Pages
This book contains below topics, Parametric Equations and Polar Coordinates, Vectors in Space, Vector Valued Functions, Differentiation of Functions of Several Variables, Multiple Integration, Vector Calculus, Second Order Differential Equations.
Author(s): Gilbert Strang and Edwin Jed Herman, OpenStax
1023 Pages
Single and Multivariable Calculus
This note explains the following topics, Analytic Geometry, Instantaneous Rate of Change, The Derivative, Rules for Finding Derivatives, Transcendental Functions, Curve Sketching, Applications of the Derivative, Integration, Techniques of Integration, Applications of Integration, Polar Coordinates, Parametric Equations, Sequences and Series, Vector Functions, Partial Differentiation, Multiple Integration, Vector Calculus, Differential Equations.
Author(s): David Farmer, Albert Schueller, and David Guichard
NA Pages
This note covers the following topics, Vectors and the geometry of space, Directional derivatives, gradients, tangent planes, introduction to integration, Integration over nonrectangular regions, Integration in polar coordinates, applications of multiple integrals, surface area, Triple integration, Spherical coordinates, The Fundamental Theorem of Calculus for line integrals, Greens Theorem, Divergence and curl, Surface integrals of scalar functions, Tangent planes, introduction to flux, Surface integrals of vector fields, The Divergence Theorem.
Author(s): Dartmouth College
NA Pages
