Author: Guozhen LuPublisher: American Mathematical Society
ISBN: 1470455374
Category : Mathematics
Languages : en
Pages : 100
Book Description
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Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
Author: Guozhen LuPublisher: American Mathematical Society
ISBN: 1470455374
Category : Mathematics
Languages : en
Pages : 100
Book Description
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Finite Fields, with Applications to Combinatorics
Author: Kannan SoundararajanPublisher: American Mathematical Society
ISBN: 1470469308
Category : Mathematics
Languages : en
Pages : 100
Book Description
This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science.
Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity
Author: Nassif GhoussoubPublisher: American Mathematical Society
ISBN: 1470461196
Category : Mathematics
Languages : en
Pages : 138
Book Description
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Representation Theory of Geigle-Lenzing Complete Intersections
Author: Martin HerschendPublisher: American Mathematical Society
ISBN: 1470456311
Category : Mathematics
Languages : en
Pages : 156
Book Description
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Spiral Waves: Linear and Nonlinear Theory
Author: Björn SandstedePublisher: American Mathematical Society
ISBN: 1470463091
Category : Mathematics
Languages : en
Pages : 116
Book Description
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The Representation Theory of the Increasing Monoid
Author: Sema GüntürkünPublisher: American Mathematical Society
ISBN: 1470465469
Category : Mathematics
Languages : en
Pages : 148
Book Description
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McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential
Author: Yi HuangPublisher: American Mathematical Society
ISBN: 1470463121
Category : Mathematics
Languages : en
Pages : 128
Book Description
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Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters
Author: Giao Ky DuongPublisher: American Mathematical Society
ISBN: 1470461218
Category : Mathematics
Languages : en
Pages : 104
Book Description
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Congruence Lattices of Ideals in Categories and (Partial) Semigroups
Author: James EastPublisher: American Mathematical Society
ISBN: 1470462699
Category : Mathematics
Languages : en
Pages : 144
Book Description
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Twistors, Quartics,and del Pezzo Fibrations
Author: Nobuhiro HondaPublisher: American Mathematical Society
ISBN: 1470464128
Category : Mathematics
Languages : en
Pages : 148
Book Description
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