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#1
2nd August 2014, 03:21 PM
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| PHD Mathematics Research Topics
Can you give me information about research topics for students of PHD Mathematics course ?
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#2
2nd August 2014, 04:19 PM
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| Re: PHD Mathematics Research Topics
Here I am giving you information about research topics for students of PHD Mathematics course below : Types, methodologies, and terminologies of geometry Absolute geometry Affine geometry Algebraic geometry Analytic geometry Archimedes' use of infinitesimals Birational geometry Complex geometry Combinatorial geometry Limit (mathematics) Limit of a function One-sided limit Limit of a sequence Indeterminate form Orders of approximation (ε, δ)-definition of limit Differential calculus Derivative Notation Newton's notation for differentiation Leibniz's notation for differentiation Simplest rules Quotient rule Inverse functions and differentiation Implicit differentiation Stationary point Maxima and minima First derivative test Second derivative test Extreme value theorem Differential equation Differential operator Newton's method Taylor's theorem L'Hôpital's rule Leibniz's rule Mean value theorem Logarithmic derivative Differential (calculus) Related rates Regiomontanus' angle maximization problem Derivative of a constant Sum rule in differentiation Constant factor rule in differentiation Linearity of differentiation Power rule Derivative (examples) Chain rule local linearization Product rule Integral calculus Antiderivative, Indefinite integral Simplest rules Sum rule in integration Constant factor rule in integration Trigonometric substitution Partial fractions in integration Quadratic integral Proof that 22/7 exceeds π Trapezium rule Integral of the secant function Integral of secant cubed Arclength Linearity of integration Arbitrary constant of integration Fundamental theorem of calculus Integration by parts Inverse chain rule method Integration by substitution Tangent half-angle substitution Differentiation under the integral sign Computational geometry Conformal geometry Constructive solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance geometry Elliptic geometry Enumerative geometry Epipolar geometry Finite geometry Fractal geometry Geometry of numbers Hyperbolic geometry Incidence geometry Information geometry Integral geometry Inversive geometry Inversive ring geometry Klein geometry Lie sphere geometry Non-Euclidean geometry Numerical geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Reticular geometry Riemannian geometry Ruppeiner geometry Spherical geometry Symplectic geometry Synthetic geometry Systolic geometry Taxicab geometry Toric geometry Transformation geometry Tropical geometry Euclidean geometry, foundations Hilbert's axioms Point Locus Line Parallel Angle Concurrent lines Adjacent angles Central angle Complementary angles Inscribed angle Internal angle Supplementary angles Angle trisection Congruence Reflection Rotation Coordinate rotations and reflections Translation Glide reflection Similarity Similarity transformation Homothety Shear mapping Euclidean plane geometry 2D computer graphics 2D geometric model Altitude Brahmagupta's formula Compass and straightedge constructions Squaring the circle Complex geometry Conic section Focus Circle List of circle topics Thales' theorem Circumcircle Concyclic Incircle and excircles of a triangle Orthocentric system Monge's theorem Power center Nine-point circle Circle points segments proof Mrs. Miniver's problem Isoperimetric theorem Annulus Ptolemaios' theorem Steiner chain Eccentricity Ellipse Semi-major axis Hyperbola Parabola Matrix representation of conic sections Dandelin spheres Curve of constant width Cyclic quadrilateral Euler's line Equilateral triangle Frieze group Golden angle Heron's formula Heronian triangle Holditch's theorem Interactive geometry software Parallel postulate Pedal triangle Polygon Star polygon Pick's theorem Shape dissection Bolyai–Gerwien theorem Poncelet–Steiner theorem Polygon triangulation Pons asinorum Pythagorean triangle Sangaku Straightedge Symmedian Tessellation Prototile Aperiodic tiling Wang tile Penrose tiling Trapezoid, trapezium Isosceles trapezoid Triangle Pythagorean theorem Triangle inequality Pedoe's inequality Trigonometry List of trigonometry topics Wallpaper group 3-dimensional Euclidean geometry (solid geometry) 3D projection 3D computer graphics Binary space partitioning Ray tracing Graham scan Borromean rings Cavalieri's principle Cross section Crystal Cuisenaire rods Desargues' theorem Right circular cone Hyperboloid Napkin ring problem Pappus's centroid theorem Paraboloid Polyhedron Defect Dihedral angle Prism Prismatoid Honeycomb Pyramid Parallelepiped Tetrahedron Heronian tetrahedron Platonic solid Archimedean solid Kepler-Poinsot polyhedra Johnson solid Uniform polyhedron Polyhedral compound Hilbert's third problem Deltahedron Surface normal 3-sphere, spheroid, ellipsoid Parabolic microphone Parabolic reflector Soddy's hexlet Sphericon Stereographic projection Stereometry n-dimensional Euclidean geometry Ball Convex Convex hull Coxeter group Euclidean distance Homothetic center Hyperplane Lattice Ehrhart polynomial Leech lattice Minkowski's theorem Packing and covering Sphere packing Kepler conjecture Kissing number problem Honeycomb Andreini tessellation Uniform tessellation Voronoi tessellation Delaunay triangulation Quasicrystal Parallelogram law Polytope Schläfli symbol Regular polytope Regular Polytopes Sphere Quadric Hypersphere, sphere Spheroid Ellipsoid Hyperboloid Paraboloid Cone Torus Root system Similarity Zonotope Other Geometries (Not Euclidean) Projective geometry Arc (projective geometry) Desargues' theorem Girard Desargues Desarguesian plane Line at infinity Point at infinity Plane at infinity Hyperplane at infinity Projective line Projective plane Oval (projective plane) Roman surface Projective space Complex projective line Complex projective plane Fundamental theorem of projective geometry Projective transformation Möbius transformation Cross-ratio Duality Homogeneous coordinates Pappus's hexagon theorem Incidence Pascal's theorem Affine geometry Affine space Affine transformation Finite geometry Differential geometry Contact geometry Riemannian geometry Symplectic geometry Non-Euclidean plane geometry Angle excess Hyperbolic geometry Pseudosphere Tractricoid Elliptic geometry Spherical geometry Minkowski space Thurston's conjecture Numerical geometry Curve interpolation Parametric curve Bézier curve Spline Hermite spline Beta spline B-spline Higher-order spline NURBS Parametric surface Parametric patch Geometric algorithms Convex hull construction Euclidean shortest path Point in polygon Point location Hidden line removal |
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