User:Chrislaing/Books/Mathematics & mechanics
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- 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)