math.md 5.3 KB
- PAPERS
- BOOKS
- Resources
- Calculus and Analysis
- Calculus-II
- Combinatorics
- Numerical Analysis
- Geometry
- Linear Algebra
- Type Theory
PAPERS
- Arithmetic : A "two-product" style algorithm paper.
- Associative-Commutative Discrimination Nets
- Richard Jenk's paper "A Pattern Compiler"
Books
- The Art of Problem Solving, Volume 2: and Beyond, Richard Rusczyk and Sandor Lehoczky.
Resources
- https://github.com/rossant/awesome-math
- http://www.youtube.com/watch?v=hE7l6Adoiiw
- vihart.com/doodling , http://vihart.com/doodling/
- WaterJugs puzzle, http://delphiforfun.org/programs/WaterJugs.htm
- math-sci-net, http://www.ams.org/mathscinet
- highwire, http://highwire.stanford.edu:4141/
Calculus and Analysis
- https://en.wikipedia.org/wiki/Lambda_calculus
- http://tutorial.math.lamar.edu/Classes/Calci/RateOfChange.aspx
- https://en.wikipedia.org/wiki/Antiderivative
- ceil and the matlab definition
Calculus-II
- Calculus-II course at Lamar University: http://tutorial.math.lamar.edu/Classes/CalcII/CalcII.aspx
Integral Transforms
- http://stankova.net/statistics_2012/double_integration.pdf
- https://en.wikipedia.org/wiki/Exponential_integral
- https://en.wikipedia.org/wiki/Integral_geometry
- http://mathworld.wolfram.com/IntegralTransform.html
- http://www.encyclopediaofmath.org/index.php/Singular_integral_equation
Crypto
Combinatorics
- Curse of dimensionality, https://en.wikipedia.org/wiki/Curse_of_dimensionality
- http://aofa.cs.princeton.edu
- http://ac.cs.princeton.edu
Julia Sets
- 2004, Hyperbolic Julia Sets are Poly-Time Computable, Mark Braverman.
- A BRIEF INTRODUCTION TO JULIA SETS OF RATIONAL MAPS, SAMUEL J. GHITELMAN
Numerical Analysis
Geometry
- Chirality in MATH and Chirality in Organic Chemistry.
- http://mathworld.wolfram.com/Slope.html
- https://en.wikipedia.org/wiki/Integral_geometry
- https://en.wikipedia.org/wiki/Geometric_Shapes
Papers
HPC-Math
- Lecture "Software Basics for High Performance Computing" (MATH9367) at Ulm University:
- http://apfel.mathematik.uni-ulm.de/~lehn/ulmBLAS
- http://apfel.mathematik.uni-ulm.de/~lehn/sghpc
- section demonstrating how to achieve peak performance for the matrix-matrix product: http://apfel.mathematik.uni-ulm.de/~lehn/sghpc/gemm/index.html
Linear Algebra
- https://www.khanacademy.org/math/linear-algebra
- https://en.wikipedia.org/wiki/Linear_algebra
- https://en.wikipedia.org/wiki/Cholesky_decomposition
- https://en.wikipedia.org/wiki/LU_decomposition
- https://en.wikipedia.org/wiki/Matrix_%28mathematics%29
- Matrix and Linear Algebra
sparse distributed matrix
- https://en.wikipedia.org/wiki/Array_data_type
- https://ch.mathworks.com/help/distcomp/sparse.html
- https://ch.mathworks.com/help/distcomp/distributed.spalloc.html
Type Theory
Data Types
Greek Alphabets
| Letter | Name | |Α α | alpha, άλφα | Β β beta, βήτα [b] [v] Γ γ gamma, γάμμα [ɡ] [ɣ] ~ [ʝ] Δ δ delta, δέλτα [d] [ð] Ε ε epsilon, έψιλον [e] [e] Ζ ζ zeta, ζήτα [zd]A [z] Η η eta, ήτα [ɛː] [i] Θ θ theta, θήτα [tʰ] [θ] Ι ι iota, ιώτα [i] [iː] [i] Κ κ kappa, κάππα [k] [k] ~ [c] Λ λ lambda, λάμδα [l] [l] Μ μ mu, μυ [m] [m]
Letter Name Sound Ancient[5] Modern[6] Ν ν nu, νυ [n] [n] Ξ ξ xi, ξι [ks] [ks] Ο ο omicron, όμικρον [o] [o] Π π pi, πι [p] [p] Ρ ρ rho, ρώ [r] [r] Σ σ/ς[8] sigma, σίγμα [s] [s] Τ τ tau, ταυ [t] [t] Υ υ upsilon, ύψιλον [y] [yː] [i] Φ φ phi, φι [pʰ] [f] Χ χ chi, χι [kʰ] [x] ~ [ç] Ψ ψ psi, ψι [ps] [ps] Ω ω omega, ωμέγα [ɔː] [o]