Conjecture Proof
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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 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.
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 Mathematics 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.
Theorems Corollaries Lemmas And Methods Of Proof
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Author : Richard J. Rossi
language : en
Publisher: Wiley-Interscience
Release Date : 2006-07-18
Theorems Corollaries Lemmas And Methods Of Proof written by Richard J. Rossi and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-18 with Mathematics categories.
The primary purpose of this text is to introduce math majors, who have completed a calculus sequence, to the axiomatic makeup of modern mathematics. Heavy emphasis is placed on the writing of clear and understandable proofs.
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 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.
Developing Essential Understanding Of Proof And Proving For Teaching Mathematics In Grades 9 12
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Author : Amy B. Ellis
language : en
Publisher: National
Release Date : 2012
Developing Essential Understanding Of Proof And Proving For Teaching Mathematics In Grades 9 12 written by Amy B. Ellis and has been published by National this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Education categories.
Focuses on essential knowledge for teachers about proof and the process of proving. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to proof and the activities involved in proving, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students...and teachers.
The Kepler Conjecture
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Author :
language : en
Publisher: Springer
Release Date : 2011-11-09
The Kepler Conjecture written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-09 with categories.
Proof Techniques In Graph Theory
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Author : Frank Harary
language : en
Publisher:
Release Date : 1969
Proof Techniques In Graph Theory written by Frank Harary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
The Mordell Conjecture
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Author : Hideaki Ikoma
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-03
The Mordell Conjecture written by Hideaki Ikoma 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 2022-02-03 with Mathematics categories.
This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) and a concise introduction to Diophantine geometry.