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ENGLISH

Introduction To Inverse Problems For Evolution Equations - Stability And Uniqueness By Carleman Estimates

by Masahiro Yamamoto

~~135,18€~~ 121,66€ 10% OFF

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 mso-ansi-language: EN-US;">order to master the methodology, we restrict equations within first-order transport equations, parabolic equations and hyperbolic equations, but it is expected to apply the same methods for other evolution equations such as fluid dynamics.
ENGLISH

One-Dimensional Dynamics - From Poincare To Renormalization

by Liviana Palmisano, Marco Martens e Yiheng Dong

~~175,73€~~ 158,16€ 10% OFF

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 The aim of the book is to give an introduction to the main concepts in modern dynamics. Indeed, we reprove this sophisticated theorem with modern techniques involving renormalization and, in the meantime, discuss most of the important concepts used in dynamics.
ENGLISH

Regularity Of The One-Phase Free Boundaries

by Bozhidar Velichkov

3,96€ + 10% CARD

 This open access book is an introduction to the regularity theory for free boundary problems.
ENGLISH

Elements Of Data Science, Machine Learning, And Artificial Intelligence Using R

by Frank Emmert-Streib, Matthias Dehmer e Salissou Moutari

74,34€ + 10% CARD

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 The textbook provides students with tools they need to analyze complex data using methods from data science, machine learning and artificial intelligence. The authors include both the presentation of methods along with applications using the programming language R, which is the gold standard for analyzing data.
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Regularity Of The One-Phase Free Boundaries

by Bozhidar Velichkov

36,49€ + 10% CARD

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 This open access book is an introduction to the regularity theory for free boundary problems.
ENGLISH

Ideals Of Powers And Powers Of Ideals - Intersecting Algebra, Geometry, And Combinatorics

by Adam Van Tuyl, Brian Harbourne, Enrico Carlini e Huy Tai Ha

87,86€ + 10% CARD

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 This book discusses regular powers and symbolic powers of ideals from three perspectivesâ€" algebra, combinatorics and geometry â€" and examines the interactions between them.
ENGLISH

Ideals Of Powers And Powers Of Ideals - Intersecting Algebra, Geometry, And Combinatorics

by Adam Van Tuyl, Brian Harbourne, Enrico Carlini e Huy Tai Ha

86,11€ + 10% CARD

 This book discusses regular powers and symbolic powers of ideals from three perspectivesâ€" algebra, combinatorics and geometry â€" and examines the interactions between them.
ENGLISH

Birational Geometry Of Hypersurfaces - Gargnano Del Garda, Italy, 2018

105,34€ + 10% CARD

 Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results. The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperkähler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side. Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Thélène, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by János Kollár and an appendix by Andreas Hochenegger.
ENGLISH

Quantum Physics And Geometry

72,86€ + 10% CARD

 This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics. Making intense use of the most advanced concepts from each discipline, the authors give in each contribution pedagogical introductions to the main concepts underlying their present research and present a personal perspective on some of the most exciting open problems.Keeping this diverse audience in mind, special efforts have been made to ensure that the basic concepts underlying quantum information are covered in an understandable way for mathematical readers, who can find there new open challenges for their research. At the same time, the volume can also be of use to physicists wishing to learn advanced mathematical tools, especially of differential and algebraic geometric nature.
ENGLISH

Kahler Immersions Of Kahler Manifolds Into Complex Space Forms

by Andrea Loi e Michela Zedda

52,99€ + 10% CARD

 The aim of this book is to describe Calabi's original work on Kahler immersions of Kahler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems.
ENGLISH

Almost Global Solutions Of Capillary-Gravity Water Waves Equations On The Circle

by Jean-Marc Delort e Massimiliano Berti

52,99€ + 10% CARD

 The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure. In contrast to the many results known for these equations on the real line, with decaying Cauchy data, one cannot make use of dispersive properties of the linear flow. Instead, a normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the solution. Since the water waves equations form a quasi-linear system, the usual normal forms approaches would face the well-known problem of losses of derivatives in the unbounded transformations. To overcome this, after a paralinearization of the capillary-gravity water waves equations,we perform several paradifferential reductions to obtain a diagonal system with constant coefficient symbols, up to smoothing remainders. Then we start with a normal form procedure where the small divisors are compensated by the previous paradifferential regularization. The reversible structure of the water waves equations, and the fact that we seek solutions even in space, guarantees a key cancellation which prevents the growth of the Sobolev norms of the solutions.
ENGLISH

Smooth Bezier Surfaces Over Unstructured Quadrilateral Meshes

by Michel Bercovier e Tanya Matskewich

66,24€ + 10% CARD

 Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM).
ENGLISH

Moduli Of Curves - Cimat Guanajuato, Mexico 2016

79,49€ + 10% CARD

 Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc. The book collects the lecture notes of a number of leading algebraic geometers and in particular specialists in the field of moduli spaces of curves and their geometry. This is an important subject in algebraic geometry and complex analysis which has seen spectacular developments in recent decades, with important applications to other parts of mathematics such as birational geometry and enumerative geometry, and to other sciences, including physics. The themes treated are classical but with a constant look to modern developments (see Cascini, Debarre, Farkas, and Sernesi''s contributions), and include very new material, such as Bridgeland stability (see Macri''s lecture notes) and tropical geometry (see Chan''s lecture notes).
ENGLISH

Homological Mirror Symmetry And Tropical Geometry

131,84€ + 10% CARD

 The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.
ENGLISH

Elementary Symplectic Topology And Mechanics

by Franco Cardin

72,86€ + 10% CARD

 This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics.
ENGLISH

Evolution Equations Of Von Karman Type

by Albert Milani e Pascal Cherrier

52,99€ + 10% CARD

 In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic.
ENGLISH

On The Geometry Of Some Special Projective Varieties

by Francesco Russo

92,74€ + 10% CARD

 Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne’s Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds.The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once thisembedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry.
ENGLISH

Elliptic Regularity Theory - A First Course

by Lisa Beck

59,61€ + 10% CARD

 These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations.
ENGLISH

Nonlocal Diffusion And Applications

by Claudia Bucur e Enrico Valdinoci

72,86€ + 10% CARD

 Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrodinger equations are given.
ENGLISH

General Theory Of Homogenization - A Personalized Introduction

by Luc Tartar

118,59€ + 10% CARD

 Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level. New mathematical tools must be introduced, like the H-measures discussed here, for a better understanding.
ENGLISH

Zeta Functions Over Zeros Of Zeta Functions

by Andre Voros

42,39€ + 10% CARD

 In this text, the famous zeros of the Riemann zeta function and its generalizations (L-functions, Dedekind and Selberg zeta functions)are analyzed through several zeta functions built over those zeros.
ENGLISH

Hilbert Functions Of Filtered Modules

by Giuseppe Valla e Maria Evelina Rossi

42,39€ + 10% CARD

 Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. This title features an extension of the theory to the case of general filtrations on a module, and its application to the study of certain graded algebras which are not associated to a filtration.
ENGLISH

Convolution Operators On Groups

by Antoine Derighetti

42,39€ + 10% CARD

 This volume examines the Banach algebra of the convolution operators of a locally compact group. It examines operators on L^p spaces, arriving at a description of these operators and L^p versions of the theorems of Wiener and Kaplansky-Helson.
ENGLISH

Harmonic Functions And Potentials On Finite Or Infinite Networks

by Victor Anandam

42,39€ + 10% CARD

 Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network.
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