1. Famous Theorems Of Mathematics - Wikibooks, Collection Of Open-content Textbooks A reader requests that this book be expanded to include more material. You can help by adding new material or ask for assistance in the reading room. http://en.wikibooks.org/wiki/Famous_Theorems_of_Mathematics

Famous Theorems of Mathematics From Wikibooks, the open-content textbooks collection Jump to: navigation search A reader requests that this book be expanded to include more material. You can help by adding new material learn how ) or ask for assistance in the reading room Mathematics deals with proofs. Whatever statement, remark, result etc one uses in mathematics it is considered meaningless until is accompanied by a rigorous mathematical proof. This book is intended to contain the proofs (or sketches of proofs) of many famous theorems in mathematics in no particular order. It should be used both as a learning resource, a good practice for acquiring the skill for writing your own proofs is to study the existing ones, and for general references. It is not however intended as a companion to any other wikibook or wikipedia articles but can complement them by providing them with links to the proofs of the theorems they contain. One note here. There are usually many ways to solve a problem. Many times the proof used comes down to the primary definitions of terms involved. We will follow the definition given by the first major contributor. Table of contents High school Pythagoras theorem Euclid's proof of the infinitude of primes √2 is irrational sin ... Θ+cos Undergraduate e is irrational π is irrational Fermat's little theorem Fermat's theorem on sums of two squares ... Four color theorem Postgraduate Fermat's last theorem Brouwer fixed-point theorem Jordan Curve Theorem Prime number theorem ... Riemann hypotesis Old table of contents

2. Talk:Famous Theorems Of Mathematics - Wikibooks, Collection Of Open-content Text Book Intentions. What is the intention of this book? Is this book going to only focus on definitions and examples of each proof, or will there also be detailed explanations for each http://en.wikibooks.org/wiki/Talk:Famous_theorems_of_mathematics

Talk:Famous Theorems of Mathematics From Wikibooks, the open-content textbooks collection (Redirected from Talk:Famous theorems of mathematics Jump to: navigation search Contents Book Intentions Suggestion for editors Structure Which form of English? ... edit Book Intentions What is the intention of this book? Is this book going to only focus on definitions and examples of each proof, or will there also be detailed explanations for each proof aimed at helping to teach and learn each proof or will a separate math book be needed to understand the proofs and to put them into context? dark lama 13:30, 13 September 2007 (UTC) The book focuses on proofs so certainly there will be detailed proofs. Examples and definitions should be included to supplement the proof. The two objectives of the book in my view are: Complement other wikibooks by providing them with a place where they can put the tedious proofs of their theorems while they themselves concentrate on the explanations part. (I am assuming that such a complementary book is allowed in wikibooks as a book with a glossary of math terms is allowed Focus on the beauty of mathematical proofs as such. For example a result may have a geometric proof, an algebraic proof, a rigorous proof from the foundation etc. All such proofs can be included. The pythagoras theorem has many proofs. Trigonometric identities have geometric proofs. The Axiom of Choice has many equivalent formulations.

3. Famous Theorems Of Mathematics/Pythagoras Theorem - Wikibooks Jul 16, 2010 Famous Theorems of Mathematics/Pythagoras Theorem. From Wikibooks, the open content textbooks collection. Famous Theorems of Mathematics http://en.wikibooks.org/wiki/Famous_Theorems_of_Mathematics/Pythagoras_Theorem

4. Category:Famous Theorems Of Mathematics - Wikibooks, Collection Of Open-content CategoryFamous theorems of mathematics. From Wikibooks, the opencontent http://en.wikibooks.org/wiki/Category:Famous_theorems_of_mathematics

Category:Famous theorems of mathematics From Wikibooks, the open-content textbooks collection Jump to: navigation search This page has been deleted. The deletion and move log for the page are provided below for reference. 15:50, 24 July 2009 Adrignola Talk contribs deleted " Category:Famous theorems of mathematics " ‎ (Speedy deleted per policy ; was an empty category. using TW Wikibooks does not have a category with this exact name. Please browse the existing categories to check if the category is covered under another name. Start the Category:Famous theorems of mathematics page Search for " ... Category:Famous theorems of mathematics in existing pages of namespace Category. Look for pages within Wikibooks that link to this title Other reasons this message may be displayed: If a page was recently created here, it may not yet be visible because of a delay in updating the database; wait a few minutes and try the purge function. Titles on Wikibooks are case sensitive except for the first character; please check alternative capitalizations and consider adding a redirect here to the correct title.

5. Talk:Famous Theorems Of Mathematics - Wikibooks, Collection Of Open-content Text I propose changing the name of the book to Famous theorems of mathematics in http://en.wikibooks.org/wiki/Talk:Famous_Theorems_of_Mathematics

Talk:Famous Theorems of Mathematics From Wikibooks, the open-content textbooks collection Jump to: navigation search Contents Book Intentions Suggestion for editors Structure Which form of English? ... edit Book Intentions What is the intention of this book? Is this book going to only focus on definitions and examples of each proof, or will there also be detailed explanations for each proof aimed at helping to teach and learn each proof or will a separate math book be needed to understand the proofs and to put them into context? dark lama 13:30, 13 September 2007 (UTC) The book focuses on proofs so certainly there will be detailed proofs. Examples and definitions should be included to supplement the proof. The two objectives of the book in my view are: Complement other wikibooks by providing them with a place where they can put the tedious proofs of their theorems while they themselves concentrate on the explanations part. (I am assuming that such a complementary book is allowed in wikibooks as a book with a glossary of math terms is allowed Focus on the beauty of mathematical proofs as such. For example a result may have a geometric proof, an algebraic proof, a rigorous proof from the foundation etc. All such proofs can be included. The pythagoras theorem has many proofs. Trigonometric identities have geometric proofs. The Axiom of Choice has many equivalent formulations. Please help contribute to the book. Cheers

6. Famous Theorems Of Mathematics/Number Theory - Wikibooks, Collection Of Open-con Famous Theorems of Mathematics/Number Theory. From Wikibooks, the open http://en.wikibooks.org/wiki/Famous_Theorems_of_Mathematics/Number_Theory

Famous Theorems of Mathematics/Number Theory From Wikibooks, the open-content textbooks collection Famous Theorems of Mathematics This page may need to be reviewed for quality. Jump to: navigation search Illustration showing that 11 is a prime number while 12 is not. Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. Please see the book Number Theory for a detailed treatment. Contents Elementary Number Theory Algebraic Number Theory Analytic Number Theory To Be Classified ... edit Elementary Number Theory In elementary number theory, integers are studied without use of techniques from other mathematical fields. Questions of divisibility, use of the Euclidean algorithm to compute greatest common divisors, integer factorizations into prime numbers, investigation of perfect numbers and congruences belong here. Several important discoveries of this field are Fermat's little theorem, Euler's theorem, the Chinese remainder theorem and the law of quadratic reciprocity. The properties of multiplicative functions such as the Möbius function, Euler's φ function, integer sequences, factorials, and Fibonacci numbers all also fall into this area. Many questions in number theory can be stated in elementary number theoretic terms, but they may require very deep consideration and new approaches outside the realm of elementary number theory to solve.

7. Sporcle - Mentally Stimulating Diversions Famous Mathematician's Theorems Quiz Enter an answer in the box below; Correctly named answers will show up below http://www.sporcle.com/games/Burt_Reynolds/famous_theorems

Sporcle is down for upgrades. We expect to be back up momentarily.

8. 42 Famous Theorems In ProofPower Freek Wiedijk is tracking progress on automated proofs of a list of 100 greatest theorems . 42 of the theorems on the list have been proved so far in http://www.rbjones.com/rbjpub/pp/rda001.html

42 famous theorems in ProofPower Freek Wiedijk is tracking progress on automated proofs of a list of " 100 greatest theorems ". 42 of the theorems on the list have been proved so far in ProofPower . The statements of these theorems are listed below. Most of the theorems are taken from the ProofPower -HOL mathematical case studies. See the case studies web page for more information, including documents in PDF format that give the definitions on which the theorems depend. 1. The Irrationality of the Square Root of 2 xl-gft 3. The Denumerability of the Rational Numbers xl-gft 4. Pythagorean Theorem xl-gft 9. The Area of a Circle xl-gft 11. The Infinitude of Primes xl-gft 15. Fundamental Theorem of Integral Calculus xl-gft (f Int sf b - sf a) (ClosedInterval a b) 17. De Moivre's Theorem xl-gft 20. All primes (1 mod 4) equal the sum of two squares xl-gft p = 4*m + 1 22. The Non-Denumerability of the Continuum xl-gft 23. Formula for Pythagorean Triples xl-gft a^2 + b^2 = c^2 c = d*(m^2 + (m + n)^2) 25. Schroeder-Bernstein Theorem

9. Theorem - Wikipedia, The Free Encyclopedia There are other theorems for which a proof is known, but the proof cannot http://en.wikipedia.org/wiki/Theorem

Theorem From Wikipedia, the free encyclopedia Jump to: navigation search The Pythagorean theorem has at least 370 known proofs In mathematics , a theorem is a statement which has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms . The derivation of a theorem is often interpreted as a proof of the truth of the resulting expression, but different deductive systems can yield other interpretations, depending on the meanings of the derivation rules. Theorems have two components, called the hypotheses and the conclusions. The proof of a mathematical theorem is a logical argument demonstrating that the conclusions are a necessary consequence of the hypotheses, in the sense that if the hypotheses are true then the conclusions must also be true, without any further assumptions. The concept of a theorem is therefore fundamentally deductive , in contrast to the notion of a scientific theory , which is empirical Although they can be written in a completely symbolic form using, for example, propositional calculus , theorems are often expressed in a natural language such as English. The same is true of proofs, which are often expressed as logically organized and clearly worded informal arguments intended to demonstrate that a formal symbolic proof can be constructed. Such arguments are typically easier to check than purely symbolic ones — indeed, many mathematicians would express a preference for a proof that not only demonstrates the validity of a theorem, but also explains in some way

10. Famous Theorems In Math #1 Quiz - Theorems This is my first quiz about some famous mathematical theorems. (Author Mrs_Seizmagraff) http://www.funtrivia.com/trivia-quiz/SciTech/Famous-Theorems-in-Math-1-183140.ht

Fun Trivia Quizzes Games People ... Challenge List Welcome to our world of fun trivia quizzes and quiz games: New Player Play Now! Quiz - Famous Theorems in Math #1 Theorems Quiz #183,140. 10 qns, rated Difficult By This is my first quiz about some famous mathematical theorems. Play: HTML Quiz Play: Flash Quiz Category: Fun Trivia Quizzes Sci / Tech Math ... Theorems Rank: of Placed online: Jun 18, 2004 Times played: Rated : 189 times Recent Registered Player Scores: Tell a Friend about this Quiz (earn free pts!) Like this quiz? Share it on Facebook! Scores Create a Link Legal / Conditions of Use

11. Math Forum: Famous Problems In The History Of Mathematics A Proof of the Pythagorean Theorem One of the most famous theorems in mathematics, the Pythagorean theorem has many proofs. Presented here is one that http://mathforum.org/isaac/mathhist.html

A Math Forum Project Introduction Mathematics has been vital to the development of civilization; from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. As a result, the history of mathematics has become an important study; hundreds of books, papers, and web pages have addressed the subject in a variety of different ways. The purpose of this site is to present a small portion of the history of mathematics through an investigation of some of the great problems that have inspired mathematicians throughout the ages. Included are problems that are suitable for middle school and high school math students, with links to solutions, as well as links to mathematicians' biographies and other math history sites. WARNING: Some of the links on the page in this site lead to other math history sites. In particular, whenever a mathematician's name is highlighted, you can follow it to link to his biography in the MacTutor archives. Table of Contents The Bridges of Konigsberg - This problem inspired the great Swiss mathematician Leonhard Euler to create graph theory, which led to the development of topology. The Value of Pi - Throughout the history of civilization various mathematicians have been concerned with discovering the value of and different expressions for the ratio of the circumference of a circle to its diameter.

12. Number Theory - Body, Used, Life, Form, Methods, Famous Theorems And Problems, A Mass, Mass Production, Mass Spectrometry, Mathematics, Matter, States of, Mendelian Laws of Inheritance, Mercury (Planet), Metabolic Disorders, Metabolism, Metamorphosis, etc… http://www.scienceclarified.com/Mu-Oi/Number-Theory.html

Powered by JRank Science Clarified Science Clarified Mu-Oi Number theory Number theory is the study of natural numbers. Natural numbers are the counting numbers that we use in everyday life: 1, 2, 3, 4, 5, and so on. Zero (0) is often considered to be a natural number as well. B.C. ) raised a number of questions about the nature of prime numbers as early as the third century B.C. Primes are of interest to mathematicians, for one reason: because they occur in no predictable sequence. The first 20 primes, for example, are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, and 71. Knowing this sequence, would you be able to predict the next prime number? (It is 73.) Or if you knew that the sequence of primes farther on is 853, 857, 859, 863, and 877, could you predict the next prime? (It is 883.) Questions like this one have intrigued mathematicians for over 2,000 years. This interest is not based on any practical application the answers may have. They fascinate mathematicians simply because they are engrossing puzzles. Famous theorems and problems p ) is a prime number by the following method: choose any number (call that number n ) and raise that number to p . Then subtract

13. Conjectures, Theorems, And Problems Have a look at some famous conjectures and theorems, as well as at some problems that have been giving mathematicians a reason to get up in the morning for http://www.mathsisgoodforyou.com/conjecturestheorems/conjecturestheorems.htm

Famous conjectures, theorems, and problems home courses topics theorems ... timeline Conjecture is a kind of guesswork: you make a judgment based on some inconclusive or incomplete evidence and you call it a conjecture. Or you make a kind of statement, but this is based only on your opinion, or again, guesswork - this is a conjecture once again. You may be proved right or wrong. Sometimes it may take centuries for people to prove you either right or wrong. If they prove you right, your conjecture will become a theorem (but it will be probably called after the person who solved it!) However, if you have an idea that you can demonstrate is true, or you can assume to be demonstrable, you've got yourself a true THEOREM. In other words, you must provide a proof, or otherwise persuade the world that you have one. Have a look at some famous conjectures and theorems, as well as at some problems that have been giving mathematicians a reason to get up in the morning for many years (centuries in some cases!). Some solved and some unsolved problems from the history of mathematics 23 Problems of Hilbert Euler's Conjecture Fermat's Conjecture Fermat's Last Theorem ... Fundamental Theorem of Arithmetic Learn more about some of the people who made (in most cases) these famous conjectures and theorems: click on their portraits.

14. Famous Theorems Of Mathematics - Wikibooks, Collection Of Open-content Textbooks This book is intended to contain the proofs (or sketches of proofs) of many famous theorems in mathematics in no particular order. http://en.wikipedia.org/wiki/Wikibooks:The_Book_of_Mathematical_Proofs

Famous Theorems of Mathematics From Wikibooks, the open-content textbooks collection (Redirected from The Book of Mathematical Proofs Jump to: navigation search A reader requests that this book be expanded to include more material. You can help by adding new material learn how ) or ask for assistance in the reading room Mathematics deals with proofs. Whatever statement, remark, result etc one uses in mathematics it is considered meaningless until is accompanied by a rigorous mathematical proof. This book is intended to contain the proofs (or sketches of proofs) of many famous theorems in mathematics in no particular order. It should be used both as a learning resource, a good practice for acquiring the skill for writing your own proofs is to study the existing ones, and for general references. It is not however intended as a companion to any other wikibook or wikipedia articles but can complement them by providing them with links to the proofs of the theorems they contain. One note here. There are usually many ways to solve a problem. Many times the proof used comes down to the primary definitions of terms involved. We will follow the definition given by the first major contributor. Table of contents High school Pythagoras theorem Euclid's proof of the infinitude of primes √2 is irrational sin ... Θ+cos Undergraduate e is irrational π is irrational Fermat's little theorem Fermat's theorem on sums of two squares ... Four color theorem Postgraduate Fermat's last theorem Brouwer fixed-point theorem Jordan Curve Theorem Prime number theorem ... Riemann hypotesis Old table of contents

15. Sci.logic: Re: Godel's Incompleteness And Nonmonotonic Logic Godel's two famous theorems apply to firstorder predicate logic. I'm not completely sure what two theorems you are referring to, but if the theorem generally known as http://sci.tech-archive.net/Archive/sci.logic/2004-08/3280.html

Re: Godel's Incompleteness and Nonmonotonic Logic From: Stephan Lehmke ( Stephan.Lehmke_at_ls1.cs.uni-dortmund.de Date: Next message: Simon G Best: "Re: [PO] Proving a negative is hard" Previous message: Stephan Lehmke: "Re: Godel's Incompleteness and Nonmonotonic Logic" In reply to: Student: "Re: Godel's Incompleteness and Nonmonotonic Logic" Next in thread: Aatu Koskensilta: "Re: Godel's Incompleteness and Nonmonotonic Logic" Messages sorted by: [ date ] [ thread ] Date: 26 Aug 2004 12:13:55 GMT jagasian@mailinator.com (Student) writes: >> but if the theorem generally known as `the' "incompleteness theorem" > "On Formally Undecidable Propositions of Principia Mathematica and > Related Systems I". I am referring to the two incompleteness theorems This is clearly false. Assuming that p is a unary predicate and x a logical variable, then given the formula F = (forall x) p(x) obviously neither F nor -F is provable in first order logic. No deep theorem of any kind is neccessary for this observation. Goedel's incompleteness is neither about (un-augmented) first order logic, nor does it state anything like what you describe above (note that

16. Morley's Miracle A discussion of Morley s famous theorem and the research of which it was a tiny part. 5 proofs are given including J. Conway s, D. Newman s, and A. Connes . http://www.cut-the-knot.com/triangle/Morley/index.html

17. Fermat S Last Theorem - Wikipedia, The Free Encyclopedia It is among the most famous theorems in the history of mathematics and prior http://en.wikipedia.org/wiki/Fermat's_Last_Theorem

18. ArXiv - Wikipedia, The Free Encyclopedia While the arXiv does contain some dubious eprints, such as those claiming to refute famous theorems or proving famous conjectures such as Fermat's last theorem using only high http://en.wikipedia.org/wiki/ArXiv

arXiv From Wikipedia, the free encyclopedia Jump to: navigation search arXiv URL http://arXiv.org/ Commercial? No Type of site Science Available language (s) English Created by Paul Ginsparg Launched Alexa rank Current status Online The arXiv pronounced archive ", as if the "X" were the Greek letter Chi , χ) is an archive for electronic preprints of scientific papers in the fields of mathematics physics computer science , quantitative biology and statistics which can be accessed via the world wide web . In many fields of mathematics and physics, almost all scientific papers are placed on the arXiv. On 3 October 2008, arXiv.org passed the half-million article milestone, with roughly five thousand new e-prints added every month. Contents History Peer review Submission process and file size limitations Access ... edit History The arXiv was originally developed by Paul Ginsparg and started in 1991 as a repository for preprints in physics and later expanded to include astronomy, mathematics, computer science, nonlinear science, quantitative biology and, most recently, statistics.

19. Answers.com - Pythagoras Questions Including "What Is The Importance To Study Of Pythagoras Questions including Why did Pythagorus write this proof and Did pythagoras think the earth revoled around the sun http://wiki.answers.com/Q/FAQ/4969-3

20. 9.2 The Pythagorean Theorem Many people believe that an early proof of the Pythagorean Theorem came from this school. Today, the Pythagorean Theorem is one of the most famous theorems in geometry. http://www.taosschools.org/ths/Departments/MathDept/quintana/GeometryPPTs/9.2 Th

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