diff --git a/README.md b/README.md
index 13b533a..dcda988 100644
--- a/README.md
+++ b/README.md
@@ -4,21 +4,75 @@ This is my (Eli Bradley's) computer science project, a Kotlin DSL focusing on va
 through school and just on my own. This includes:
 
 - [X] Vector Algebra
+  - [X] Included functions: Vector addition, subtraction, multiplication, division
 - [X] Multivariable Calculus
   - [X] Gradient Descent
+    - [X] Included functions: Descent line, isocline and next point calculation
 - [X] Basic Linear Algebra
+  - [X] Included functions: Addition, subtraction, multiplication, division for standard and matrixcalculations 
 - [X] Electrostatic Simulations
+  - [X] Included functions: Graphical conversion, charge cluster calculation, in bounds calculation
 - [X] Analytic Transformations
   - [X] Taylor Series
+    - [X] Included functions: Factorial calculator, nth Derivative calculator, Maclaurin series calculator
   - [ ] Fourier Series and Transformations
+    - [X] Included functions: Quantum Fournier transformation
 - [X] Complex Algebra
   - [X] Complex Numbers
+    - [X] Included functions: Complex four function calculator, trigonometric functions, natural log, exponents
   - [X] Complex Vectors
+    - [X] Included functions: Extended complex vector calculation, conversion to char/double/float/int/long/short,  double vector calculation
   - [X] Complex Matrices
+    - [X] Included functions: Square matrix, unitary matrix, vector matrices
 - [X] Quantum Computing
   - [X] Entangled Qubit States
+    - [X] Included functions: Combining and measuring qubit states
   - [X] Quantum Gates
+    - [X] Included functions: Qubit Communication Gates, Qubit Shift Gates
   - [X] Quantum Circuits
     - [X] Parallel Gates
+      - [X] Included functions: Combining and controlling parallel gates
     - [X] Sequential Gates
+      - [X] Included functions: Combining and controlling sequential gates
   - [X] Measuring
+    - [X] Included functions: Torque, acceleration, force calculations
+       
+# Technical Specification
+
+Specific technical specifications for each of the functions avliable in the library are located in this section
+- [X] Vector Algebra:
+- [X] Multivariable Calculus
+  - [X] Gradient Descent:
+- [X] Basic Linear Algebra:
+- [X] Electrostatic Simulations:
+- [X] Analytic Transformations:
+  - [X] Taylor Series:
+  - [ ] Fourier Series and Transformations:
+- [X] Complex Algebra
+  - [X] Complex Numbers:
+  - [X] Complex Vectors:
+  - [X] Complex Matrices:
+- [X] Quantum Computing
+  - [X] Entangled Qubit States:
+  - [X] Quantum Gates:
+  - [X] Quantum Circuits
+    - [X] Parallel Gates:
+    - [X] Sequential Gates:
+  - [X] Measuring:
+
+Reference images:
+
+# Installation 
+
+Instructions for installing MathLibrary are located in this section.
+Download link for Math library:
+
+# Contribution Policies
+
+Any rules or instructions for contributing to MathLibrary are located in this section.
+
+# Credits
+
+Credits for any future contributions to MathLibrary would go in this section.
+Repository Support Information: 
+