The Erdos Distance Problem
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The Erd S Distance Problem
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Author : Julia Garibaldi
language : en
Publisher:
Release Date : 2011
The Erd S Distance Problem written by Julia Garibaldi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Combinatorial analysis categories.
The Erdos Distance Problem
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Author : Julia Garibaldi
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
The Erdos Distance Problem written by Julia Garibaldi 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 2011 with Mathematics categories.
Introduces the reader to the techniques, ideas, and consequences related to the Erdős problem. The authors introduce these concepts in a concrete and elementary way that allows a wide audience to absorb the content and appreciate its far-reaching implications. In the process, the reader is familiarized with a wide range of techniques from several areas of mathematics and can appreciate the power of the resulting symbiosis.
The Finite Field Distance Problem
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Author : David J. Covert
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-21
The Finite Field Distance Problem written by David J. Covert 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 2021-06-21 with Education categories.
Erdős asked how many distinct distances must there be in a set of n n points in the plane. Falconer asked a continuous analogue, essentially asking what is the minimal Hausdorff dimension required of a compact set in order to guarantee that the set of distinct distances has positive Lebesgue measure in R R. The finite field distance problem poses the analogous question in a vector space over a finite field. The problem is relatively new but remains tantalizingly out of reach. This book provides an accessible, exciting summary of known results. The tools used range over combinatorics, number theory, analysis, and algebra. The intended audience is graduate students and advanced undergraduates interested in investigating the unknown dimensions of the problem. Results available until now only in the research literature are clearly explained and beautifully motivated. A concluding chapter opens up connections to related topics in combinatorics and number theory: incidence theory, sum-product phenomena, Waring's problem, and the Kakeya conjecture.
A View From The Top
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Author : Alex Iosevich
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
A View From The Top written by Alex Iosevich 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 2007 with Mathematics categories.
Based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections between different areas of mathematics and the way different subject matters flow from one another, this book is suitable for those with a basic knowledge of high school mathematics.
Research Problems In Discrete Geometry
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Author : Peter Brass
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-27
Research Problems In Discrete Geometry written by Peter Brass 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 2006-01-27 with Mathematics categories.
This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.
Problems Solutions In Euclidean Geometry
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Author : M. N. Aref
language : en
Publisher:
Release Date : 1968
Problems Solutions In Euclidean Geometry written by M. N. Aref and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
Combinatorial Geometry In The Plane
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Author : Hugo Hadwiger
language : en
Publisher: Courier Corporation
Release Date : 2014-10-27
Combinatorial Geometry In The Plane written by Hugo Hadwiger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-27 with Mathematics categories.
Advanced undergraduate-level text discusses theorems on topics restricted to the plane, such as convexity, coverings, and graphs. Two-part treatment begins with specific topics followed by an extensive selection of short proofs. 1964 edition.
From Erd S To Kiev Problems Of Olympiad Caliber
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Author : Ross Honsberger
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-29
From Erd S To Kiev Problems Of Olympiad Caliber written by Ross Honsberger 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 2020-07-29 with Education categories.
Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included.
Polynomial Methods In Combinatorics
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Author : Larry Guth
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-10
Polynomial Methods In Combinatorics written by Larry Guth 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 2016-06-10 with Mathematics categories.
This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult problem in combinatorial geometry. The author also discusses in detail various problems in incidence geometry associated to Paul Erdős's famous distinct distances problem in the plane from the 1940s. The proof techniques are also connected to error-correcting codes, Fourier analysis, number theory, and differential geometry. Although the mathematics discussed in the book is deep and far-reaching, it should be accessible to first- and second-year graduate students and advanced undergraduates. The book contains approximately 100 exercises that further the reader's understanding of the main themes of the book.
Analysis
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Author : Terence Tao
language : en
Publisher:
Release Date : 2006
Analysis written by Terence Tao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematical analysis categories.
"This two-volume introduction to real analysis is intended for honours undergraduates, who have already been exposed to calculus. The emphasis is on rigour and on foundations. The course material is deeply intertwined with the exercises, as it is intended for the student to actively learn the material and to practice thinking and writing rigorously." --Book Jacket.