plumiUniversity maths booklets
Fourier and Laplace transforms, vector calculus, partial differential equations and complex variables. Answers and worked solutions are included.
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51 booklets
Bessel functions
Complex variables
Diagonalisation of conics and quadrics
Difference equations
Differentiation under the integral sign
Fourier series
Fourier transforms
Further applications of integration
Gamma and beta functions
Index summation notation
Integral equations
Intrinsic coordinates
Jacobians and curvilinear coordinates
Laplace transforms: an introduction
Laplace transforms: applications
Laplace transforms: further
Legendre functions and polynomials
Leibniz's rule for differentiation
Limits
Line integrals
Multivariable integration in Cartesian coordinates
Multivariable integration in polar coordinates
Multivariable integration in spherical polar coordinates
ODEs by variation of parameters
ODEs, systematic methods I
ODEs, systematic methods II
ODEs, various methods
ODEs: series solutions
Parameterisation
Partial differentiation: an introduction
Partial differentiation: applications
PDEs by integral transforms
PDEs: an introduction
PDEs: applications
PDEs: Laplace's equation
PDEs: the heat equation
Product operator
Residues: applications in integration
Residues: applications in series summation
Row reduction of matrices
Series
Sketching in three dimensions
Special functions and general transforms
Surface integrals
The big integral theorems
The D operator
The Heaviside function
The impulse function
Vector integrals
Vector operators
Volume by slicing
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