Conjecture And Proof


Conjecture And Proof
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Conjecture And Proof


Conjecture And Proof
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Author : Miklós Laczkovich
language : en
Publisher: Cambridge University Press
Release Date : 2001

Conjecture And Proof written by Miklós Laczkovich and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


How to prove interesting and deep mathematical results from first principles, with exercises.



Conjecture And Proof


Conjecture And Proof
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Author : Miklos Laczkovich
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-12-31

Conjecture And Proof written by Miklos Laczkovich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-31 with Mathematics categories.


The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.



Conjecture And Proof


Conjecture And Proof
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Author : Miklós Laczkovich
language : en
Publisher: American Mathematical Society
Release Date : 2022-08-11

Conjecture And Proof written by Miklós Laczkovich and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-11 with Mathematics categories.


The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.



Conjecture Proof


Conjecture Proof
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Author : Diane Driscoll Schwartz
language : en
Publisher: Brooks/Cole Publishing Company
Release Date : 1997

Conjecture Proof written by Diane Driscoll Schwartz and has been published by Brooks/Cole Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.




Proof


Proof
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Author : Paul David Brown
language : en
Publisher:
Release Date : 2010

Proof written by Paul David Brown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Logic, Symbolic and mathematical categories.




The Science Of Conjecture


The Science Of Conjecture
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Author : James Franklin
language : en
Publisher: JHU Press
Release Date : 2015-08-01

The Science Of Conjecture written by James Franklin and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-01 with Science categories.


How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.



Conjecture And Proof


Conjecture And Proof
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Author : Diane Driscoll Schwartz
language : en
Publisher: Harcourt
Release Date : 1996-07-01

Conjecture And Proof written by Diane Driscoll Schwartz and has been published by Harcourt this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-01 with categories.




A Proof Of Alon S Second Eigenvalue Conjecture And Related Problems


A Proof Of Alon S Second Eigenvalue Conjecture And Related Problems
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Author : Joel Friedman
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

A Proof Of Alon S Second Eigenvalue Conjecture And Related Problems written by Joel Friedman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Eigenvalues categories.


A $d$-regular graph has largest or first (adjacency matrix) eigenvalue $\lambda_1=d$. Consider for an even $d\ge 4$, a random $d$-regular graph model formed from $d/2$ uniform, independent permutations on $\{1,\ldots,n\}$. The author shows that for any $\epsilon>0$ all eigenvalues aside from $\lambda_1=d$ are bounded by $2\sqrt{d-1}\;+\epsilon$ with probability $1-O(n^{-\tau})$, where $\tau=\lceil \bigl(\sqrt{d-1}\;+1\bigr)/2 \rceil-1$. He also shows that this probability is at most $1-c/n^{\tau'}$, for a constant $c$ and a $\tau'$ that is either $\tau$ or $\tau+1$ (``more often'' $\tau$ than $\tau+1$). He proves related theorems for other models of random graphs, including models with $d$ odd.



Proof Logic And Conjecture


Proof Logic And Conjecture
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Author : Robert S. Wolf
language : en
Publisher: W. H. Freeman
Release Date : 1997-12-15

Proof Logic And Conjecture written by Robert S. Wolf and has been published by W. H. Freeman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-15 with Mathematics categories.


This text is designed to teach students how to read and write proofs in mathematics and to acquaint them with how mathematicians investigate problems and formulate conjecture.



The Kepler Conjecture


The Kepler Conjecture
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Author : Jeffrey C. Lagarias
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-09

The Kepler Conjecture written by Jeffrey C. Lagarias and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-09 with Mathematics categories.


The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the “cannonball" packing. In a landmark result, this was proved by Thomas C. Hales and Samuel P. Ferguson, using an analytic argument completed with extensive use of computers. This book centers around six papers, presenting the detailed proof of the Kepler conjecture given by Hales and Ferguson, published in 2006 in a special issue of Discrete & Computational Geometry. Further supporting material is also presented: a follow-up paper of Hales et al (2010) revising the proof, and describing progress towards a formal proof of the Kepler conjecture. For historical reasons, this book also includes two early papers of Hales that indicate his original approach to the conjecture. The editor's two introductory chapters situate the conjecture in a broader historical and mathematical context. These chapters provide a valuable perspective and are a key feature of this work.