Essays Tagged: "Number theory"
Gauss, Carl Friedrich
began to do totally new and innovative workin mathematics. In 1793-94 he did intensive research in number theory,especially on prime number. He made this his life's passion and is regardedas its mode ... d at the University of Gottingen from 1795 to 1798. He soondecided to write a book on the theory of numbers. It appeared in 1801under the title 'Disquisitiones arithmeticae'. This classic work usually ...
Subjects: Science Essays > Mathematics
Leonhard Euler
ithheld his work in deference to J. L. Lagrange. He was a pioneer in the field of topology and made number theory into a science, stating the prime number theorem and the law of biquadratic reciprocit ...
Subjects: Science Essays > Mathematics
Pascal and his life table.
the discovery of the mathematical theory of probability, and he also made serious contributions to number theory and geometry.In 1646 Pascal learned of Toricelli's experiments with the barometer and ...
Subjects: Science Essays > Mathematics
Leonhard Euler.
Leonhard Euler is a recognized Swiss mathematician who is considered to be a pioneer in algebra and number theory (Simonis 68). The man not only contributed in the subject of algebra but also in mecha ...
Subjects: Science Essays > Mathematics
Marie-Sophie Germain
tuation. Germain immediately dove into the great mathematical works, teaching herself the basics of number theory and calculus. Unfortunately, being a woman of that era meant that it was not acceptabl ... e became a mentor to her. She eventually began studying new areas of mathematics focusing mainly on number theory, which led her to Fermat's Last Theorem. She worked with the theorem for several years ...
Subjects: Literature Research Papers > Biographies
Classification of Sciences
ence of mathematics consists of five categories; these are general mathematics systems, algebra and number theory, geometry, probabilities and mathematical statistics. Geometry may be defined as the b ... les, surfaces and solids. Probabilities may be defined as the branch of mathematics which studies a number expressing the likelihood that a specific event will occur, expressed as the ratio of the num ...
Subjects: Science Essays
Biography on the life and achievements of Euclid
followers of Pluto.Most of Euclid's work was on geometry. To be more specific, he studied pi, prime numbers, and the number theory. He even tried to find the proof that there is no end to prime number ... lid geometry. He devoted chapter two, five, seven, nine and ten, in whole or part, to the theory of numbers. The book "Elements" was the most influential Greek mathematical work ever. It was used as a ...
Subjects: Literature Research Papers > Biographies
The Essence of Problem-Solving in Algebra
s to the questions of transfinite set theory, but also for the solution of the problems of finitary number theory (of the type of Goldbachás conjecture), where the meaningfulness and unambiguit ... [of transfinite set theory] also have consequences far outside the domain of very great transfinite numbers which is their immediate subject matter: each of them, under the assumption of consistency, ...
Subjects: Science Essays > Mathematics
Taxicab Geometry
as Albert Einstein, known for his theory of relativity. Throughout his life, Minkowski explored the number theory, mathematical physics, and the theory of relativity.Taxicab geometry is quite easy to ... diameter is 6. So pi in taxicab geometry can be found using the formula P = πdI also tried other numbers for d and P and the results were the same. The taxicab π is equal to 4.A parabola is the ...
Subjects: Science Essays > Mathematics
Euclid Of Alexandria
in particular his masterpiece, The Elements, the long studied thirteen volume work on geometry and number theory. Except for the Bible, no other book has been so widely translated and circulated. It ... Pythagoras. On the other hand, the layout of The Elements belongs to him alone. Each volume lists a number of definitions and assumptions followed by theorems, which are followed by proofs using those ...
Subjects: History Term Papers
Pierre De Fermat
rench lawyer who pursued mathematics during his free time. Fermat is known as the founder of modern number theory and probability theory. He also establishes coordinate geometry (using algebra as a to ...
Subjects: Science Essays > Mathematics
Elementary Number Theory and its applications
Congruence In Elementary Number Theory And Its Applications 同余在初等数论中& ... nts 1 Introduction 2 2 Literature Review 3 3 Methodology 5 4 Chapter 1 6 4.1 Divisibility and Prime Number . . . . . . . . . . . . . . . . . . . . . . 6 4.2 Congruence . . . . . . . . . . . . . . . . ... 15 7.2 Primes is in P - The AKS Test . . . . . . . . . . . . . . . . . . . . . . 16 1 Introduction Number theory is a branch of pure mathematics, which discovers and proves the relationships between ...
Subjects: Science Essays > Mathematics