# Gamma Function, Lecture Notes - Mathematics

The product formula, Euler's integrals, Euler's constant, The Gamma function has the product formulas , Consequences of the product formula, Stirling approximation , The logarithmic derivative.

# Chebyshev Theorem, Lecture Notes - Mathematics

Analytic Number Theory, Chebyshev, the Prime Number Theorem, von Mangoldt function, Euler-Maclaurin summation, Bertrand's Postulate, Bernoulli polynomials, Euler-Maclaurin formula.

# Contour Integral Formula, Lecture Notes - Mathematics

The contour integral formula, Dirichlet series, complex variable logarithmic derivative, Euler produc,t von Mangoldt function, analytic continuation, Mellin transform , Mobius function.

# Recurrence Relation, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, Recurrence Relations, Inclusion, Exclusion, Columbia, Lecture Notes

# Discrete Mathematics, Lecture Notes - Computer Science

Zeph Grunschlag, Logic, Tautologies/Equivalence, Predicates/Quantifiers, Sets, Set Theory Operations, Functions, Sequences/Sums, Big(O), Algorithms, Complexity, Basic Number Theory, Number Theory Algorithms, RSA, Matrices, Proofs, Induction, Recur...

# RSA Encryption, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, RSA Encryption, RSA Cryptography, Fast Exponentiation, Extended Euler’s Algorithm, Modular inverses, Fermat’s Little Theorem, Chinese Remainder Theorem, Columbia, Lecture Notes

# Probability and Exceptions, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, Probability and Exceptation, Counting with Repetitions, Columbia, Lecture Notes

# Gamma Function, Lecture Notes - Mathematics

The product formula, Euler's integrals, Euler's constant, The Gamma function has the product formulas , Consequences of the product formula, Stirling approximation , The logarithmic derivative.

# Set Operations, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, Set Operations, Symmetric Difference in sets, Columbia, Lecture Notes

# RSA Encryption, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, RSA Encryption, RSA Cryptography, Fast Exponentiation, Extended Euler’s Algorithm, Modular inverses, Fermat’s Little Theorem, Chinese Remainder Theorem, Columbia, Lecture Notes

# Relations, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, Relation, Representing Relations, Operations on Relations, Columbia, Lecture Notes

# Recursion, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, Recursion and Induction, Recursive Algorithms, Recursion, Columbia, Lecture Notes

# Recurrence Relation, Lecture Notes - Computer Science

Prof. Zeph Grunschlag, Computer Science, Recurrence Relations, Inclusion, Exclusion, Columbia, Lecture Notes