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MadAsMaths.com :: Maths Booklets :: Advanced Topics


 

ADVANCED TOPICS

 

These booklets are suitable for

  • students having taken A Level Further Mathematics and preparing for mathematics or engineering degrees.

  • introduction/revision/practice of fairly advanced mathematical topics, for undergraduates in science degrees, science diplomas or mathematics degrees.


 

Please click on the titles below to download the files

 

bessel_functions.pdf

big_integral_theorems.pdf

calculus_of_variations.pdf

complex_variables.pdf

d_operator.pdf

diagonalization_of_conics_and_quadrics.pdf

difference_equations.pdf

differential_geometry.pdf

differentiation_under_the_integral_sign.pdf

fourier_series.pdf

fourier_transform.pdf

gamma_and_beta_functions.pdf

heaviside_function.pdf

impulse_function.pdf

index_summation_notation.pdf

integral_equations.pdf

integration_further_applications.pdf

intrinsic_coordinates.pdf

jacobians_and_curvilinear_coodinates.pdf

laplace_transforms_introduction.pdf

laplace_transforms_further.pdf

laplace_transforms_applications.pdf

legendre_functions_and_polynomials.pdf

limits.pdf

line_integrals.pdf

matrix_row_reducing.pdf

multivariable_integration_in_cartesian.pdf

multivariable_integration_in_polars.pdf

multivariable_integration_in_spherical_polars.pdf

odes_by_variation_of_parameters.pdf

odes_series_solutions.pdf

odes_systematic_1.pdf

odes_systematic_2.pdf

odes_various.pdf

parameterization.pdf

partial_differentiation_introduction.pdf

partial_differentiation_applications.pdf

pdes_general_applied.pdf

pdes_general_introduction.pdf

pdes_integral_tranformations.pdf

pdes_the_heat_equation.pdf

pdes_the_laplace_equation.pdf

pdes_the_wave_equation.pdf

product_operator.pdf

residues_and_applications_in_integration.pdf

residues_and_applications_in_series_summation.pdf

series_exam_questions.pdf

sketching_in_3_dimensions.pdf

special_functions_and_general_transforms.pdf

surface_integrals.pdf

tensors.pdf

vector_integrals.pdf

vector_operators.pdf

volume_by_slicing.pdf

z_transforms.pdf

 

 

 
       
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