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Ranks of Elliptic Curves and Random Matrix Theory

Ranks of Elliptic Curves and Random Matrix Theory PDF Author: J. B. Conrey
Publisher: Cambridge University Press
ISBN: 0521699649
Category : Mathematics
Languages : en
Pages : 5

Book Description
This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.

Ranks of Elliptic Curves and Random Matrix Theory

Ranks of Elliptic Curves and Random Matrix Theory PDF Author: J. B. Conrey
Publisher: Cambridge University Press
ISBN: 0521699649
Category : Mathematics
Languages : en
Pages : 5

Book Description
This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.

Ranks of Elliptic Curves and Random Matrix Theory

Ranks of Elliptic Curves and Random Matrix Theory PDF Author: J. B. Conrey
Publisher:
ISBN: 9781139882682
Category : Curves, Elliptic
Languages : en
Pages : 368

Book Description
This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.

Lectures on the Theory of Water Waves

Lectures on the Theory of Water Waves PDF Author: Thomas J. Bridges
Publisher: Cambridge University Press
ISBN: 1107565561
Category : Mathematics
Languages : en
Pages : 299

Book Description
A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball PDF Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 1107541484
Category : Mathematics
Languages : en
Pages : 243

Book Description
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

Geometric Analysis of Hyperbolic Differential Equations: An Introduction

Geometric Analysis of Hyperbolic Differential Equations: An Introduction PDF Author: S. Alinhac
Publisher: Cambridge University Press
ISBN: 1139485814
Category : Mathematics
Languages : en
Pages :

Book Description
Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

Graded Rings and Graded Grothendieck Groups

Graded Rings and Graded Grothendieck Groups PDF Author: Roozbeh Hazrat
Publisher: Cambridge University Press
ISBN: 1316619583
Category : Mathematics
Languages : en
Pages : 244

Book Description
This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.

Localization in Periodic Potentials

Localization in Periodic Potentials PDF Author: Dmitry E. Pelinovsky
Publisher: Cambridge University Press
ISBN: 1139503693
Category : Mathematics
Languages : en
Pages : 409

Book Description
This comprehensive book describes modern methods in the analysis of reduced models of Bose–Einstein condensation in periodic lattices. Aimed at researchers and graduate students working in applied mathematics and physical sciences where nonlinear waves arise, its unique focus is on localized nonlinear waves in periodic potentials and lattices.

Recent Advances in Hodge Theory

Recent Advances in Hodge Theory PDF Author: Matt Kerr
Publisher: Cambridge University Press
ISBN: 110754629X
Category : Mathematics
Languages : en
Pages : 533

Book Description
Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.

Topics in Graph Automorphisms and Reconstruction

Topics in Graph Automorphisms and Reconstruction PDF Author: Josef Lauri
Publisher: Cambridge University Press
ISBN: 1316610446
Category : Mathematics
Languages : en
Pages : 207

Book Description
An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.

Analytic Semigroups and Semilinear Initial Boundary Value Problems

Analytic Semigroups and Semilinear Initial Boundary Value Problems PDF Author: Kazuaki Taira
Publisher: Cambridge University Press
ISBN: 1316757358
Category : Mathematics
Languages : en
Pages : 348

Book Description
A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.