User:Chrislaing/Books/Mathematics & mechanics


 * Vector calculus
 * Calculus of variations
 * Vector field
 * Joseph-Louis Lagrange
 * Integral
 * Derivative
 * Configurational mechanics
 * Continuum mechanics
 * Drucker stability
 * Arruda–Boyce model
 * Bending moment
 * Bending of plates
 * Bending stiffness
 * Betti's theorem
 * Bimoment
 * Birch–Murnaghan equation of state
 * Brittleness
 * Cauchy elastic material
 * Cauchy momentum equation
 * Cauchy stress tensor
 * Clapeyron's theorem (elasticity)
 * Clausius–Duhem inequality
 * Collapsible flow
 * Compatibility (mechanics)
 * Compression (physics)
 * Convective momentum transport
 * Critical resolved shear stress
 * Damage mechanics
 * Deformation (mechanics)
 * Diffuse element method
 * Digital image correlation
 * Dilatant
 * Dislocation creep
 * Displacement field (mechanics)
 * Ductility
 * Dynamic fluid film equations
 * Elastic instability
 * Elastica theory
 * A. Cemal Eringen
 * Eshelby's inclusion
 * Extended discrete element method
 * Extended finite element method
 * Ferrofluid
 * Finite element method
 * Dynamic Design Analysis Method
 * Finite strain theory
 * Flexural strength
 * Flow conditioning
 * Flow plasticity theory
 * Fluid dynamics
 * Food rheology
 * Föppl–von Kármán equations
 * Force lines
 * Generalized Lagrangian mean
 * Gent (hyperelastic model)
 * Halpin–Tsai model
 * Hu Washizu principle
 * Hydrostatic stress
 * Hyperelastic material
 * Hypoelastic material
 * Impulse excitation technique
 * Izod impact strength test
 * JWL equation of state
 * Kirchhoff–Love plate theory
 * Lateral strain
 * Levy–Mises equations
 * Limit loads
 * Gérard Maugin
 * Mesophase
 * Mie–Gruneisen equation of state
 * Mindlin–Reissner plate theory
 * Momentum
 * Mooney–Rivlin solid
 * Murnaghan equation of state
 * Neo-Hookean solid
 * Newtonian material
 * Non-Newtonian fluid
 * Normal strain
 * Objective stress rates
 * Ogden (hyperelastic model)
 * Orthotropic material
 * Peridynamics
 * Piola transformation
 * Plane strain compression test
 * Plate theory
 * Polynomial (hyperelastic model)
 * Poromechanics
 * Principle of material objectivity
 * Rankine–Hugoniot conditions
 * Representative elementary volume
 * Residual stress
 * Reversibly assembled cellular composite materials
 * Reynolds transport theorem
 * Rheometry
 * Rock mass plasticity
 * Seismic metamaterials
 * Shakedown (continuum mechanics)
 * Shear and moment diagram
 * Shear rate
 * Shear strain
 * Shear stress
 * Shear thinning
 * Shearing (physics)
 * Signorini problem
 * Size effect on structural strength
 * Soft tissue
 * Spectral element method
 * Stiffness
 * Strain energy density function
 * Strain rate tensor
 * Stress measures
 * Stress resultants
 * Stress space
 * Structural Fracture Mechanics
 * Theorem of corresponding states
 * Theorem of three moments
 * Theory of tides
 * Thermomagnetic convection
 * Thixotropy
 * Timoshenko beam theory
 * Torsion constant
 * Toughness
 * Vibrating plate
 * Vibration of plates
 * Virial stress
 * Viscoelasticity
 * Viscoplasticity
 * Wave action (continuum mechanics)
 * Yeoh (hyperelastic model)
 * Yield surface
 * Calculus
 * List of calculus topics
 * Outline of calculus
 * Adaptive projected subgradient method
 * Alternating series
 * AP Calculus
 * Binary logarithm
 * Binomial series
 * Calculus of moving surfaces
 * Continuous function
 * Cours d'Analyse
 * Del
 * Differential (infinitesimal)
 * Differential operator
 * Dirichlet integral
 * Elementary Calculus: An Infinitesimal Approach
 * Euler spiral
 * Even and odd functions
 * First derivative test
 * Gabriel's Horn
 * General Leibniz rule
 * Geometric calculus
 * Geometric series
 * Hermitian function
 * Higher-order derivative test
 * Hyperinteger
 * Improper integral
 * Increment theorem
 * Infinitesimal
 * Infinitesimal calculus
 * Iterated limit
 * Linear function (calculus)
 * List of mathematical functions
 * List of types of functions
 * Maplets for Calculus
 * Maxima and minima
 * Non-standard calculus
 * Nova Methodus pro Maximis et Minimis
 * Operational calculus
 * Periodic function
 * Perron's formula
 * Power rule
 * Quasi-continuous function
 * Racetrack principle
 * Reduction (mathematics)
 * Reflection formula
 * Regiomontanus' angle maximization problem
 * Related rates
 * Series (mathematics)
 * Slope field
 * Standard part function
 * Tensor calculus
 * Theta operator
 * Thomae's function
 * Time-scale calculus
 * Undefined (mathematics)
 * Uniform continuity
 * Uniform convergence
 * Variable (mathematics)
 * Visual calculus
 * Voorhoeve index
 * List of multivariable calculus topics
 * Multivariable calculus
 * Change of variables (PDE)
 * Comparametric equation
 * Contact (mathematics)
 * Contour line
 * Critical point (mathematics)
 * Critical value
 * Curvature
 * Inverse function theorem
 * Differentiable function
 * Directional derivative
 * Equipotential
 * Equipotential surface
 * Exact differential
 * Frenet–Serret formulas
 * Function of a real variable
 * Function of several real variables
 * Hessian matrix
 * Implicit function
 * Inexact differential
 * Invariant factorization of LPDOs
 * Isoperimetric inequality
 * Jacobian matrix and determinant
 * Lagrange multiplier
 * Laplace invariant
 * Laplace operator
 * Vector Laplacian
 * Leibniz integral rule
 * Level set
 * Material derivative
 * Matrix calculus
 * Monkey saddle
 * Multiple integral
 * Parametric equation
 * Partial derivative
 * Partial differential algebraic equation
 * Partial differential equation
 * Power series
 * Radius of curvature (mathematics)
 * Real coordinate space
 * Ridge detection
 * Saddle point
 * Saddle surface
 * Sard's theorem
 * Scalar field
 * Second partial derivative test
 * Shift theorem
 * Surface integral
 * Symmetric decreasing rearrangement
 * Symmetry of second derivatives
 * Tortuosity
 * Total derivative
 * Triple product rule
 * Upper-convected time derivative
 * Volume element
 * Volume integral
 * Differential form
 * Berezin integral
 * Closed and exact differential forms
 * Complex differential form
 * De Rham cohomology
 * Differential ideal
 * Exterior algebra
 * Exterior bundle
 * Exterior derivative
 * Hodge dual
 * Interior product
 * One-form
 * Positive form
 * Solder form
 * Stokes' theorem
 * Two-form
 * Vector-valued differential form
 * Volume form
 * Atiyah–Singer index theorem
 * Bernstein–Sato polynomial
 * Cauchy–Euler operator
 * Constant coefficients
 * D'Alembert operator
 * Dirac operator
 * Dirichlet eigenvalue
 * Elliptic operator
 * Eta invariant
 * Functional derivative
 * GJMS operator
 * Homogeneous function
 * Hypoelliptic operator
 * Infinity Laplacian
 * Invariant differential operator
 * Kato's conjecture
 * Lagrangian system
 * Laplace operators in differential geometry
 * Laplace–Beltrami operator
 * Lie derivative
 * Nabla symbol
 * Paneitz operator
 * Peetre theorem
 * Proofs involving the Laplace–Beltrami operator
 * Pseudo-differential operator
 * Semi-elliptic operator
 * Symbol of a differential operator
 * Ultrahyperbolic equation
 * Weitzenböck identity
 * Weyl algebra
 * Wirtinger derivatives
 * List of partial differential equation topics
 * Consumption distribution
 * A priori estimate
 * Algebraic analysis
 * Alternating direction implicit method
 * Analytic semigroup
 * Asymptotic homogenization
 * Babuška–Lax–Milgram theorem
 * Bateman transform
 * Beltrami equation
 * Benjamin–Bona–Mahony equation
 * Benjamin–Ono equation
 * Bessel potential
 * Black-oil equations
 * Bochner space
 * Bogomol'nyi–Prasad–Sommerfield bound
 * Boltzmann equation
 * Borel's lemma
 * Boundary value problem
 * Burgers' equation
 * Allen–Cahn equation
 * Cahn–Hilliard equation
 * Calabi flow
 * Calogero–Degasperis–Fokas equation
 * Caloric polynomial
 * Camassa–Holm equation
 * Cartan–Kähler theorem
 * Cartan–Kuranishi prolongation theorem
 * Cauchy problem
 * Cauchy surface
 * Cauchy–Kowalevski theorem
 * Cauchy–Riemann equations
 * Chaplygin's equation
 * Clairaut's equation
 * Computational electromagnetics
 * Conserved current
 * Constraint counting
 * Continuity equation
 * D'Alembert's formula
 * D-module
 * Davey–Stewartson equation
 * Degasperis–Procesi equation
 * Derivation of the Navier–Stokes equations
 * Diffiety
 * Diffusion equation
 * Dirac equation
 * Dirac equation in curved spacetime
 * Dirichlet problem
 * Dirichlet's energy
 * Dirichlet's principle
 * Discontinuous Galerkin method
 * Dispersionless equation
 * Dispersive partial differential equation
 * Domain (mathematical analysis)
 * Duhamel's principle
 * Dynamic simulation
 * Eikonal equation
 * Einstein field equations
 * Electromagnetic wave equation
 * Elliptic boundary value problem
 * Elliptic partial differential equation
 * Energy operator
 * Ernst equation
 * Euler–Lagrange equation
 * Euler–Poisson–Darboux equation
 * Euler–Tricomi equation
 * Exner equation
 * First-order partial differential equation
 * Fisher's equation
 * Fourier integral operator
 * Free boundary problem
 * Fundamental solution
 * Gårding's inequality
 * Generalized Korteweg–de Vries equation
 * Green's function for the three-variable Laplace equation
 * Groundwater flow equation
 * Hadamard's method of descent
 * Hamilton–Jacobi equation
 * Hamilton–Jacobi–Bellman equation
 * Harmonic conjugate
 * Hartree equation
 * Hasegawa–Mima equation
 * Hearing the shape of a drum
 * Hilbert's nineteenth problem
 * Holmgren's uniqueness theorem
 * Homotopy analysis method
 * Homotopy perturbation method
 * Homotopy principle
 * Hopf lemma
 * Hörmander's condition
 * Hunter–Saxton equation
 * Inhomogeneous electromagnetic wave equation
 * Integrability conditions for differential systems
 * Integrable system
 * Inverse scattering transform
 * Ishimori equation
 * Isothermal coordinates
 * John's equation
 * Kadomtsev–Petviashvili equation
 * Kansa method
 * Kaup–Kupershmidt equation
 * KdV hierarchy
 * Klein–Gordon equation
 * Korteweg–de Vries equation
 * Kuramoto model
 * Lamm equation
 * Landau–Lifshitz model
 * Landau–Lifshitz–Gilbert equation
 * Large eddy simulation
 * Larmor formula
 * Lewy's example
 * Lin–Tsien equation
 * Lions–Lax–Milgram theorem
 * Madelung equations
 * Mason–Weaver equation
 * Maximum principle
 * History of Maxwell's equations
 * List of textbooks in electromagnetism
 * Matrix representation of Maxwell's equations
 * Maxwell's equations
 * Maxwell's equations in curved spacetime
 * Method of characteristics
 * Method of lines
 * Method of quantum characteristics
 * Minkowski problem
 * Mixed boundary condition
 * Monge cone
 * Monge equation
 * Monge–Ampère equation
 * Motz's problem
 * Multidimensional systems
 * Multigrid method
 * Navier–Stokes equations
 * Navier–Stokes existence and smoothness
 * Neumann–Poincaré operator
 * Newtonian potential
 * Noether's second theorem
 * Noether's theorem
 * List of nonlinear partial differential equations
 * Nonlinear Schrödinger equation
 * Novikov–Veselov equation
 * Numerical partial differential equations
 * Obstacle problem
 * Omega equation
 * Overdetermined system
 * Parametrix
 * Particle in a spherically symmetric potential
 * Perfectly matched layer
 * Perron method
 * Petrov–Galerkin method
 * Phase space method
 * Poincaré–Lelong equation
 * Poisson's equation
 * Population balance equation
 * Potential theory
 * Primitive equations
 * Pseudoanalytic function
 * Rarita–Schwinger equation
 * Reaction–diffusion–advection equation
 * Ricci flow
 * Richards equation
 * Riemann invariant
 * Riemann–Hilbert problem
 * Riesz potential
 * Saint-Venant's compatibility condition
 * Theoretical and experimental justification for the Schrödinger equation
 * Screened Poisson equation
 * Secondary calculus and cohomological physics
 * Seiberg–Witten invariant
 * Separation of variables
 * Shallow water equations
 * Sobolev spaces for planar domains
 * Solid harmonics
 * Solution algorithms for pressure-velocity coupling in steady flows
 * Sommerfeld radiation condition
 * Spherical harmonics
 * Spherical mean
 * Spheroidal wave function
 * Stefan problem
 * Stochastic partial differential equation
 * Stochastic processes and boundary value problems
 * Streamline diffusion
 * Swift–Hohenberg equation
 * Variational inequality
 * Vibrations of a circular membrane
 * Viscosity solution
 * Young–Laplace equation
 * Darboux's theorem
 * Frobenius theorem (differential topology)
 * Born–von Karman boundary condition
 * Cauchy boundary condition
 * Dirichlet boundary condition
 * Helical boundary conditions
 * Initial value problem
 * Neumann boundary condition
 * Perfect thermal contact
 * Periodic boundary conditions
 * Robin boundary condition
 * Abstract additive Schwarz method
 * Additive Schwarz method
 * Balancing domain decomposition method
 * BDDC
 * Coarse space (numerical analysis)