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## Compare Algebraic Proof And Geometric Proof, Which One Is Stronger?

For example, the Pythagoras theorem is one of the most famous and known theorems of Pythagoras, proving that if we know the squared value of the hypotenuse is same as the squared value of added other two lengths, in right-angled triangle. Even this is theorem based on right-angled triangle; we can prove it in both proofs, Algebraic and geometric. For example, to prove this in geometric proof

## Summary: Unit 2 Of College Algebra

After applying more of my critical thinking in solving some exercises while reading has been of a great effect to my learning process in unit 2 of College Algebra. According to Stitz, C. & Zeager, J. (2011), During the second week of term 4, I could read and cover many topics but the text I found difficult to read are firstly, Graphs of Polynomials that states where a0, a1, . . . , an are real numbers and n _ 1 is a natural number. According to 3.2 definition where we can now think of linear functions

## Niels Abel and Some of His Work

Many innovational mathematicians come and go, but only a few remembered for their great accomplishments. Niels Henrik Abel is one of the greatest mathematicians that have influenced modern mathematics, solving and creating theorems, like the Abelian-Ruffini theorem and Abel's theorem, and formulas/equations, like the abel equation, Abel’s inequality. He started discovering and creating these at a young age. Niels Abel was born in Norway, in a neighborhood parish, to Georg Abel, who was a pastor with

## All the Mathematics You Missed but Need to Know for Graduate School

emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, differential equations, probability theory, complex analysis, abstract algebra, and more. An annotated bibliography offers a guide to further reading and

## The Progression Of Abstract Algebra

Math 559 IDEALS IN RINGS by Naira Arakelyan 1. Introduction The progression of abstract algebra has come to be due to problems which were deemed to be unsolvable through classical methods, as well as discoveries from past mathematicians. Firstly, these problems had been associated with the theory of algebraic equations by the closing of the 19th century. Significant topics of abstract algebra would consist of Diophantine equations, as well as arithmetical investigations of higher and quadratic

## Basic Logic And Circuit Simplification

and Circuit Simplification OBJECTIVES: The objective of this lab is to become familiar with digital design in order to derive Boolean expressions that represent logic circuits and then simplifying these expressions using the rules of Boolean Algebra. We will also verify the equivalency of the original and simplified Boolean expressions by implementing the logic circuits represented by each expression. Using Multisim, we will simulate the logic circuits and create their truth tables for further

## How Did Calculus Contribute To The Development Of Europe

and was one of the most significant developments of this time. Rene Descartes development of analytical geometry and Cartesian coordinates allowed the orbits of the planets to be plotted. Other mathematicians such as Fermat and Pascal formulated theorems which extended our knowledge on number theory. Pascal is most famous for his Pascal triangle even though similar figures had been done by the Chinese and Persian mathematicians before him. Newton and Leibniz revolutionized mathematics by developing

## Compilation of Mathematicians and Their Contributions

circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal. * Accredited with foundation of the Ionian school of Mathematics that was a centre of learning and research. * Thales theorems used in Geometry: 1. The pairs of opposite angles formed by two intersecting lines are equal. 2. The base angles of an isosceles triangle are equal. 3. The sum of the angles in a triangle is 180°. 4. An angle

## Contribution of India in Mathematics

Contribution of India in mathematics The most fundamental contribution of India in mathematics is the invention of decimal system of enumeration, including the invention of zero. The decimal system uses nine digits (1 to 9) and the symbol zero (for nothing) to denote all natural numbers by assigning a place value to the digits. The Arabs carried this system to Africa and Europe. 1) Aryabhata is the first well known Indian mathematician. Born in Kerala, he completed his studies at the university

## Mathematics : The Joy Of Mathematics In The World

Mathematics is defined as "the abstract science of number, quantity, and space", and to many individuals, this definition is very black and white (Definition of mathematics in English by Oxford Dictionaries). Copious people do not like mathematics, as they do not have an appreciation for it. Before I took this class, I had a much narrower understanding and weaker background on mathematics due to how I was taught these topics throughout my time in primary schooling. After taking The Joy of Mathematics