The Resource Polynomial methods and incidence theory, Adam Sheffer, (electronic resource)
Polynomial methods and incidence theory, Adam Sheffer, (electronic resource)
Resource Information
The item Polynomial methods and incidence theory, Adam Sheffer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.This item is available to borrow from 1 library branch.
Resource Information
The item Polynomial methods and incidence theory, Adam Sheffer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.
This item is available to borrow from 1 library branch.
 Summary
 "The past decade has seen numerous major mathematical breakthroughs for topics such as the finite field Kakeya conjecture, the cap set conjecture, Erdös's distinct distances problem, the joints problem, as well as others, thanks to the introduction of new polynomial methods. There has also been significant progress on a variety of problems from additive combinatorics, discrete geometry, and more. This book gives a detailed yet accessible introduction to these new polynomial methods and their applications, with a focus on incidence theory. Based on the author's own teaching experience, the text requires a minimal background, allowing graduate and advanced undergraduate students to get to grips with an active and exciting research front. The techniques are presented gradually and in detail, with many examples, warmup proofs, and exercises included. An appendix provides a quick reminder of basic results and ideas"
 Language
 eng
 Extent
 1 online resource (pages cm.)
 Contents

 Incidences and classical discrete geometry
 Basic real algebraic geometry in R2
 Polynomial partitioning
 Basic real algebraic geometry in Rd
 The joints problem and degree reduction
 Polynomial methods in finite fields
 The ElekesSharirGuthKatz framework
 Constantdegree polynomial partitioning and incidences in C2
 Lines in R3
 Distinct distances variants
 Incidences in Rd
 Incidence applications in Rd
 Incidences in spaces over finite field
 Algebraic families, dimension counting, and ruled surfaces
 Isbn
 9781108832496
 Label
 Polynomial methods and incidence theory
 Title
 Polynomial methods and incidence theory
 Statement of responsibility
 Adam Sheffer
 Language
 eng
 Summary
 "The past decade has seen numerous major mathematical breakthroughs for topics such as the finite field Kakeya conjecture, the cap set conjecture, Erdös's distinct distances problem, the joints problem, as well as others, thanks to the introduction of new polynomial methods. There has also been significant progress on a variety of problems from additive combinatorics, discrete geometry, and more. This book gives a detailed yet accessible introduction to these new polynomial methods and their applications, with a focus on incidence theory. Based on the author's own teaching experience, the text requires a minimal background, allowing graduate and advanced undergraduate students to get to grips with an active and exciting research front. The techniques are presented gradually and in detail, with many examples, warmup proofs, and exercises included. An appendix provides a quick reminder of basic results and ideas"
 Assigning source
 Provided by publisher
 Cataloging source
 LBSOR/DLC
 http://library.link/vocab/creatorName
 Sheffer, Adam
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Cambridge studies in advanced mathematics
 Series volume
 197
 http://library.link/vocab/subjectName

 Combinatorial geometry
 Polynomials
 Incidence algebras
 Partitions (Mathematics)
 Finite fields (Algebra)
 Discrete geometry
 Geometry, Algebraic
 Label
 Polynomial methods and incidence theory, Adam Sheffer, (electronic resource)
 Bibliography note
 Includes bibliographical references and index
 Contents
 Incidences and classical discrete geometry  Basic real algebraic geometry in R2  Polynomial partitioning  Basic real algebraic geometry in Rd  The joints problem and degree reduction  Polynomial methods in finite fields  The ElekesSharirGuthKatz framework  Constantdegree polynomial partitioning and incidences in C2  Lines in R3  Distinct distances variants  Incidences in Rd  Incidence applications in Rd  Incidences in spaces over finite field  Algebraic families, dimension counting, and ruled surfaces
 Control code
 ssj0002574588
 Dimensions
 unknown
 Extent
 1 online resource (pages cm.)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9781108832496
 Lccn
 2021063054
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0002574588
 Label
 Polynomial methods and incidence theory, Adam Sheffer, (electronic resource)
 Bibliography note
 Includes bibliographical references and index
 Contents
 Incidences and classical discrete geometry  Basic real algebraic geometry in R2  Polynomial partitioning  Basic real algebraic geometry in Rd  The joints problem and degree reduction  Polynomial methods in finite fields  The ElekesSharirGuthKatz framework  Constantdegree polynomial partitioning and incidences in C2  Lines in R3  Distinct distances variants  Incidences in Rd  Incidence applications in Rd  Incidences in spaces over finite field  Algebraic families, dimension counting, and ruled surfaces
 Control code
 ssj0002574588
 Dimensions
 unknown
 Extent
 1 online resource (pages cm.)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9781108832496
 Lccn
 2021063054
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0002574588
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bowdoin.edu/portal/PolynomialmethodsandincidencetheoryAdam/8YByjev7c90/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bowdoin.edu/portal/PolynomialmethodsandincidencetheoryAdam/8YByjev7c90/">Polynomial methods and incidence theory, Adam Sheffer, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bowdoin.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bowdoin.edu/">Bowdoin College Library</a></span></span></span></span></div>