Number Theory

- Began in 16th and 17th centuries in Europe
- Those who work in the field are called number theorists
- Arithmetic is an older term used for number theory
- Karl Friedrich Gauss considered greatest all-time number theorist

Number Theory is a branch of Mathematics dealing with the properties of numbers, particularly the integers. It has several sub-fields including algebraic, computational and analytic number theories.
Glossary
1. Natural Numbers: All non-negative integers
2. Prime Numbers: Natural positive numbers with only 2 different natural divisors
3. Fibonacci Sequence: Series of numbers beginning with 0 and 1 where any following number is equal to the sum of the two previous numbers
4. Fibonacci Number: Any number that appears in the Fibonacci Sequence
5. Integer Sequence: Any series of integers, examples include a list of prime numbers and the Fibonacci Sequence

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Number Theory on Amazon
- Elementary Number Theory: Second Edition - $14.95
  
  Minimal prerequisites make this text ideal for a first course in number theory. Written in a lively, engaging style by the author of popular mathematics bo...
  
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- Student Solutions Manual for Elementary Number Theory - $36.67
  
  This latest edition of Kenneth Rosen's widely used Elementary Number Theory and Its Applications</B> enhances the flexibility and depth of previous editions while pres...
  
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- An Introduction to Number Theory - $59.95
  
  The book aims to take readers to a deeper understanding of the patterns of thought that have shaped the modern understanding of number theory. It begins with the fundamental theore...
  
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- Elementary Number Theory - $39.95
  
  This book gives an elementary undergraduate-level introduction to Number Theory, with the emphasis on carefully explained proofs and worked examples. Exercises, with solutions, are...
  
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- An Introduction to the Theory of Numbers - $60.00
  
  An Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as th...
  
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Number Theory Questions

What is a theory? 3 Answers

A theory, in the context of science, may be naively referred to as a description. In science, we start out with Natural Laws. These are simply observed phenome... read more

What is M-Theory? 2 Answers

It is one of the main theories in Physics. It is the string theory but in 11 instead of 10 dimensions. It's also often called the "super-string" theory. It is t... read more

What is the theory of supergravity? 1 Answer

The theory of supergravity is a theory that combines the main ideas of supersymmetry and general relativity. These 2 ideas combined imply that when supergravit... read more

How does M-Theory help unify string theory? 1 Answer

Membrane theory or the M-Theory came into picture after string theory failed to explain the origin of the Universe. Mathematically, it just adds an addition dim... read more

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Geometric Number Theory
- Wikipedia: Geometric Number Theory
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- @cmilesbaker Branes occur in String theory & used in M-theory. A string is like a 2-brane (number in front is like number of dimensions)
- The multiverse theory states that there are an infinite number of universes that exist concurrent with ours ... Anything that can can will
- Not Always Buried Deep: A Second Course in Elementary Number Theory - by Paul Pollack - Amer Mathematical Society. http://bit.ly/7BTFpC
- Game Theory and "Children of Men": There are actually a number of good cinematic depictions of game theory. The.. http://bit.ly/5vF7Vu
- @ellie_k87 Interesting. So it's limited to real numbers in the same way number theory is limited to integers?
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