Mathematics has had an incredible impact on technology as we know it today. Understanding this impact aids in understanding the history of how technology has developed so thoroughly and what significant events happened to facilitate such an advanced society. A better understanding can be derived by analyzing the historical background on the mathematicians, the time periods, and the contributions that affected their society and modern society as well as specific examples of how the mathematical developments affected society. Math had and has a great impact in technology. During the 20th century mathematics made very quick advances on all fronts. Mathematics sped up the development of symbolic logic as the foundation of Math became solidly grounded. Aside from logic, physics and philosophy also benefited from the quantum theory and the relativity theory during this time. New fields were developed like the chaos theory, the game theory and computational mathematics. During the 20th century, mathematics reached broader application than any other time before.

David Hilbert (1862-1943) was born in East Prussia. He studied and taught at the University of Konigsberg, East Prussia until the mid 1890's. He soon transferred to the University of Gottingen which he later developed into a very popular mathematical center.

Hilbert was a mathematician of many fields like calculus of variations and the number theory. However he made a significant contribution in the field of geometry. His contribution to integral equations influenced the study in functional analysis.

Alfred North Whitehead - (1861-1947) Born in Ramsgate, England Whitehead was a professor of Mathematics at the University of Cambridge and Trinity College, University of London and Harvard University He made great contributions in the theoretical mathematics

Hermann Minkowski - (1864-1909) He was born in Russia, he moved to Germany where he...

...Mathematical logic is something that has been around for a very long time. Centuries Ago Greek and other logicians tried to make sense out of mathematical proofs. As time went on other people tried to do the same thing but using only symbols and variables. But I will get into detail about that a little later. There is also something called set theory, which is related with this. In mathematical logic a lot of terms are used such as axiom and proofs. A...

...FRENCH CONNECTION SEQUENCE ANALYSIS
For this sequence analysis, I have chosen a scene from William Friedkin’s The French Connection. The scene chosen is the chase sequence and confrontation between Popeye Doyle and the sniper on the roof who worked for “Frog number one”. I believe that this sequence differs from classical Hollywood conventions in a numbers of important ways, marking it quite clearly as a different sort of film to the police procedurals which...

...LECTURE NOTES ON MATHEMATICAL INDUCTION
PETE L. CLARK
Contents
1. Introduction
2. The (Pedagogically) First Induction Proof
3. The (Historically) First(?) Induction Proof
4. Closed Form Identities
5. More on Power Sums
6. Inequalities
7. Extending binary properties to n-ary properties
8. Miscellany
9. The Principle of Strong/Complete Induction
10. Solving Homogeneous Linear Recurrences
11. The Well-Ordering Principle
12. Upward-Downward Induction
13. The...

...Mathematical modeling is commonly used to predict the
behavior of phenomena in the environment. Basically,
it involves analyzing a set of points from given data
by plotting them, finding a line of "best fit" through
these points, and then using the resulting graph to
evaluate any given point. Models are useful in
hypothesizing the future behavior of populations,
investments, businesses, and many other things that
are characterized by fluctuations. A...

...Mathematical modelling of a hyperboloid container
Mathematical model is a method of simulating real-life situations with mathematical equations to forecast their future behaviour. Eykhoff (1974) defined a mathematical model as 'a representation of the essential aspects of an existing system (or a system to be constructed) which presents knowledge of that system in usable form'. Mathematical models are used particularly in...

...problems, represent different problems and transfer knowledge and skill about the different problems. Mathematical models have often being developed to solve and represent these problems especially in natural sciences and engineering disciplines (Arnold 2000). Mathematical models can be defined as a mathematical language that would describe the behavior of a system or rather a problem. Mathematical modeling can be done to develop...

...ABSTRACT
MATEL, PABLO B., Reading Comprehension and Mathematical Problem-Solving Skills of Fourth Year High School Students of Tagaytay City Science National High School, SY 2013 – 2014. Master’s Thesis. Master of Arts in Education major in Mathematics Cavite State University, Indang, Cavite. Octber 2013. Adviser: Dr. Constancia G. Cueno.
This study determined the relation between reading comprehension skills and mathematical problem-solving skills...

...Mathematical model
A mathematical model is a description of a system using mathematical language. The process of developing a mathematical model is termed mathematical modelling (also writtenmodeling). Mathematical models are used not only in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (e.g. computer science,artificial intelligence), but also in the...