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Connection Matrices In Combinatorial Topological Dynamics

by Marian Mrozek e Thomas Wanner

~~67,58€~~ 60,82€ 10% OFF

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 mso-themecolor: text1;">In this book, we take Conley's theory one step further, by presenting a complete discussion of connection matrices for combinatorial multivector fields.
ENGLISH

Scalar Conservation Laws

by Giuseppe Maria Coclite

~~54,06€~~ 48,65€ 10% OFF

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 These notes cover many of the arguments that usually can be found in high level essays, where the proofs are simply sketched, and in papers, which are not easily available and not always self-contained. This book is intended for1.
ENGLISH

Connected Sets In Global Bifurcation Theory

by Boris Buffoni e John Toland

~~59,61€~~ 53,65€ 10% OFF

 mso-fareast-language: EN-IN;">Structured into seven chapters, the book begins with an introduction to global bifurcation theory and foundational concepts in set theory and metric spaces.
ENGLISH

Non-Kahler Complex Surfaces And Strongly Pseudoconcave Surfaces

by Naohiko Kasuya

~~67,58€~~ 60,82€ 10% OFF

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 The main themes of this book are non-KÃ¤hler complex surfaces and strongly pseudoconcave complex surfaces. Though there are several notable examples of compact non-KÃ¤hler surfaces, including Hopf surfaces, Kodaira surfaces, and Inoue surfaces, these subjects have been regarded as secondary to KÃ¤hler manifolds and strongly pseudoconvex manifolds.
ENGLISH

Connected Sets In Global Bifurcation Theory

by Boris Buffoni e John Toland

~~60,82€~~ 54,74€ 10% OFF

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 mso-fareast-language: EN-IN;">Structured into seven chapters, the book begins with an introduction to global bifurcation theory and foundational concepts in set theory and metric spaces.
ENGLISH

Stochastic Calculus In Infinite Dimensions And Spdes

by Dan Crisan e Daniel Goodair

~~50,01€~~ 45,01€ 10% OFF

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 Introducing a groundbreaking framework for stochastic partial differential equations (SPDEs), this work presents three significant advancements over the traditional variational approach. Firstly, Stratonovich SPDEs are explicitly addressed.
ENGLISH

Stochastic Lagrangian Adaptation

by David Levanony e Peter E. Caines

~~31,08€~~ 27,97€ 10% OFF

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 This book introduces a cutting-edge continuous time stochastic linear quadratic (LQ) adaptive control algorithm for fully observed linear stochastic systems with unknown parameters. The adaptive estimation algorithm is engineered to drive the maximum likelihood estimate into the set of parameters representing the true closed-loop dynamics.
ENGLISH

Non-Kahler Complex Surfaces And Strongly Pseudoconcave Surfaces

by Naohiko Kasuya

~~66,24€~~ 59,62€ 10% OFF

 The main themes of this book are non-KÃ¤hler complex surfaces and strongly pseudoconcave complex surfaces. Though there are several notable examples of compact non-KÃ¤hler surfaces, including Hopf surfaces, Kodaira surfaces, and Inoue surfaces, these subjects have been regarded as secondary to KÃ¤hler manifolds and strongly pseudoconvex manifolds.
ENGLISH

Stochastic Lagrangian Adaptation

by David Levanony e Peter E. Caines

~~59,61€~~ 53,65€ 10% OFF

 This book introduces a cutting-edge continuous time stochastic linear quadratic (LQ) adaptive control algorithm for fully observed linear stochastic systems with unknown parameters. The adaptive estimation algorithm is engineered to drive the maximum likelihood estimate into the set of parameters representing the true closed-loop dynamics.
ENGLISH

Stochastic Calculus In Infinite Dimensions And Spdes

by Dan Crisan e Daniel Goodair

~~66,24€~~ 59,62€ 10% OFF

 Introducing a groundbreaking framework for stochastic partial differential equations (SPDEs), this work presents three significant advancements over the traditional variational approach. Firstly, Stratonovich SPDEs are explicitly addressed.
ENGLISH

Twisted Isospectrality, Homological Wideness, And Isometry - A Sample Of Algebraic Methods In Isospectrality

by Gunther Cornelissen e Norbert Peyerimhoff

3,96€ + 10% CARD

 The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This book focusses on the case of compact Riemannian manifolds, and, in particular, the question whether one can find finitely many natural operators that determine whether two such manifolds are isometric (coverings).<div><br></div><div>The methods outlined in the book fit into the tradition of the famous work of Sunada on the construction of isospectral, non-isometric manifolds, and thus do <i>not</i> focus on analytic techniques, but rather on algebraic methods: in particular, the analogy with constructions in number theory, methods from representation theory, and from algebraic topology.<br></div><div><p>The main goal of the book is to present the construction of finitely many "twisted" Laplace operators whose spectrum determines covering equivalence of two Riemannian manifolds.</p><p>The book has a leisure pace and presents details and examples that are hard to find in the literature, concerning: fiber products of manifolds and orbifolds, the distinction between the spectrum and the spectral zeta function for general operators, strong isospectrality, twisted Laplacians, the action of isometry groups on homology groups, monomial structures on group representations, geometric and group-theoretical realisation of coverings with wreath products as covering groups, and "class field theory" for manifolds. The book contains a wealth of worked examples and open problems. After perusing the book, the reader will have a comfortable working knowledge of the algebraic approach to isospectrality. </p></div><div></div><p>This is an open access book.</p>
ENGLISH

Scalar Conservation Laws

by Giuseppe Maria Coclite

~~72,86€~~ 65,57€ 10% OFF

 These notes cover many of the arguments that usually can be found in high level essays, where the proofs are simply sketched, and in papers, which are not easily available and not always self-contained. This book is intended for1.
ENGLISH

Guaranteed Computational Methods For Self-Adjoint Differential Eigenvalue Problems

by Xuefeng Liu

~~72,86€~~ 65,57€ 10% OFF

 <p>This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators. It focuses on deriving explicit lower and upper bounds for eigenvalues, as well as explicit estimations for eigenfunction approximations. Such explicit error estimations rely on the finite element method (FEM) along with a new theory of explicit quantitative error estimation, diverging from traditional studies that primarily focus on qualitative results.</p><p>To achieve quantitative error estimation, the monograph begins with an extensive analysis of the hypercircle method, that is, the Prager-Synge theorem. It introduces a novel a priori error estimation technique based on the hypercircle method. This facilitates the explicit estimation of Galerkin projection errors for equations such as Poisson''s and Stokes'', which are crucial for obtaining lower eigenvalue bounds via conforming FEMs.</p><p>A thorough exploration of the fundamental theory of projection-based explicit lower eigenvalue bounds under a general setting of eigenvalue problems is also offered. This theory is extensively detailed when applied to model eigenvalue problems associated with the Laplace, biharmonic, Stokes, and Steklov differential operators, which are solved by either conforming or non-conforming FEMs.</p><p>Moreover, there is a detailed discussion on the Lehmann-Goerisch theorem for the purpose of high-precision eigenvalue bounds, showing its relationship with previously established theorems, such as Lehmann-Maehly''s method and Kato''s bound. The implementation details of this theorem with FEMs, a topic rarely covered in existing literature, are also clarified.</p><p>Lastly, the monograph introduces three new algorithms to estimate eigenfunction approximation errors, revealing the potency of classical theorems. Algorithm I extends Birkhoff’s result that works for simple eigenvalues to handle clustered eigenvalues, while Algorithm II generalizes the Davis-Kahan theorem, initially designed for strongly formulated eigenvalue problems, to address weakly formulated eigenvalue problems. Algorithm III utilizes the explicit Galerkin projection error estimation to efficiently handle Galerkin projection-based approximations.</p><p> </p>
ENGLISH

Pure Metric Geometry

by Anton Petrunin

~~31,08€~~ 27,97€ 10% OFF

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 This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits.
ENGLISH

Limit Theorems For Some Long Range Random Walks On Torsion Free Nilpotent Groups

by Jian Wang, Laurent Saloff-Coste, Takashi Kumagai, Tianyi Zheng e Zhen-Qing Chen

31,08€ + 10% CARD

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 This book develops limit theorems for a natural class of long range random walks on finitely generated torsion free nilpotent groups. Both the limit LÃ©vy process and the limit Lie group carrying this process are determined by and depend on the law of the original random walk.
ENGLISH

Tropical Circuit Complexity - Limits Of Pure Dynamic Programming

by Stasys Jukna

~~31,08€~~ 27,97€ 10% OFF

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 This book presents an enticing introduction to tropical circuits and their use as a rigorous mathematical model for dynamic programming (DP), which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems.
ENGLISH

Spectra And Normal Forms

by Claudia Valls e Luís Barreira

~~52,99€~~ 47,69€ 10% OFF

 <p>This book presents the reader with a streamlined exposition of the notions and results leading to the construction of normal forms and, ultimately, to the construction of smooth conjugacies for the perturbations of tempered exponential dichotomies. These are exponential dichotomies for which the exponential growth rates of the underlying linear dynamics never vanish. In other words, its Lyapunov exponents are all nonzero. The authors consider mostly difference equations, although they also briefly consider the case of differential equations. The content is self-contained and all proofs have been simplified or even rewritten on purpose for the book so that all is as streamlined as possible. Moreover, all chapters are supplemented by detailed notes discussing the origins of the notions and results as well as their proofs, together with the discussion of the proper context, also with references to precursor results and further developments. A useful chapter dependence chart is included in the Preface. The book is aimed at researchers and graduate students who wish to have a sufficiently broad view of the area, without the discussion of accessory material. It can also be used as a basis for graduate courses on spectra, normal forms, and smooth conjugacies.</p><p>The main components of the exposition are tempered spectra, normal forms, and smooth conjugacies. The first two lie at the core of the theory and have an importance that undoubtedly surpasses the construction of conjugacies. Indeed, the theory is very rich and developed in various directions that are also of interest by themselves. This includes the study of dynamics with discrete and continuous time, of dynamics in finite and infinite-dimensional spaces, as well as of dynamics depending on a parameter. This led the authors to make an exposition not only of tempered spectra and subsequently of normal forms, but also briefly of some important developments in those other directions. Afterwards the discussion continues with the construction of stable and unstable invariant manifolds and, consequently, of smooth conjugacies, while using most of the former material.<br></p><p>The notion of tempered spectrum is naturally adapted to the study of nonautonomous dynamics. The reason for this is that any autonomous linear dynamics with a tempered exponential dichotomy has automatically a uniform exponential dichotomy. Most notably, the spectra defined in terms of tempered exponential dichotomies and uniform exponential dichotomies are distinct in general. More precisely, the tempered spectrum may be smaller, which causes that it may lead to less resonances and thus to simpler normal forms. Another important aspect is the need for Lyapunov norms in the study of exponentially decaying perturbations and in the study of parameter-dependent dynamics. Other characteristics are the need for a spectral gap to obtain the regularity of the normal forms on a parameter and the need for a careful control ofthe small exponential terms in the construction of invariant manifolds and of smooth conjugacies.</p>
ENGLISH

Deep Learning For Fluid Simulation And Animation - Fundamentals, Modeling, And Case Studies

by Antonio Lopes Apolinario Jr., Gilson Antonio Giraldi, Leandro Tavares Da Silva e Liliane Rodrigues De Almeida

~~52,99€~~ 47,69€ 10% OFF

 <div>This book is an introduction to the use of machine learning and data-driven approaches in fluid simulation and animation, as an alternative to traditional modeling techniques based on partial differential equations and numerical methods - and at a lower computational cost.</div><div><br></div><div>This work starts with a brief review of computability theory, aimed to convince the reader - more specifically, researchers of more traditional areas of mathematical modeling - about the power of neural computing in fluid animations. In these initial chapters, fluid modeling through Navier-Stokes equations and numerical methods are also discussed.</div><br><div>The following chapters explore the advantages of the neural networks approach and show the building blocks of neural networks for fluid simulation. They cover aspects related to training data, data augmentation, and testing. </div><div><br></div><div>The volume completes with two case studies, one involving Lagrangian simulation of fluids using convolutional neural networks and the other using Generative Adversarial Networks (GANs) approaches.</div><div><br></div><div><div><br></div></div>
ENGLISH

Pure Metric Geometry

by Anton Petrunin

~~52,99€~~ 47,69€ 10% OFF

 This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits.
ENGLISH

Tropical Circuit Complexity - Limits Of Pure Dynamic Programming

by Stasys Jukna

52,99€ + 10% CARD

 This book presents an enticing introduction to tropical circuits and their use as a rigorous mathematical model for dynamic programming (DP), which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems.
ENGLISH

Limit Theorems For Some Long Range Random Walks On Torsion Free Nilpotent Groups

by Jian Wang, Laurent Saloff-Coste, Takashi Kumagai, Tianyi Zheng e Zhen-Qing Chen

52,99€ + 10% CARD

 This book develops limit theorems for a natural class of long range random walks on finitely generated torsion free nilpotent groups. Both the limit LÃ©vy process and the limit Lie group carrying this process are determined by and depend on the law of the original random walk.
ENGLISH

Numerical Solutions Applied To Heat Transfer With The Sph Method - A Verification Of Approximations For Speed And Accuracy

by Carlos Henrique Marchi, Luciano Pereira Da Silva e Messias Meneguette Junior

52,99€ + 10% CARD

 <div><div>This book offers an in-depth verification of numerical solutions for differential equations modeling heat transfer phenomena, where the smoothed particle hydrodynamics (SPH) method is used to discretize the mathematical models. Techniques described in this book aim to speed up the convergence of numerical solutions and increase their accuracy by significantly reducing the discretization error.</div><div><br></div><div>In their quest, the authors shed light on new sources of numerical error that are specific to the SPH method and, through them, they identify the characteristics of the solutions influenced by such errors. The accuracy of numerical solutions is also improved with the application of advanced tools like the repeated Richardson extrapolation (RRE) in quadruple precision, which was adapted to consider fixed or moving particles. The book finishes with the conclusion that the qualitative and quantitative verification of numerical solutions through coherence tests andmetrics are currently a methodology of excellence to treat computational heat transfer problems.</div><div><br></div><div>Mathematicians in applied fields and engineers modelling and solving real physical phenomena can greatly benefit from this work, as well as any reader interested in numerical methods for differential equations.</div></div><div><br></div>
ENGLISH

Arthroscopy And Endoscopy Of The Shoulder - Principle And Practice

337,96€ + 10% CARD

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 It covers basic knowledge of procedures and dedicated introduction of surgical techniques for treatment of shoulder diseases with better surgical outcome and less surgical morbidity.
ENGLISH

Industry 4.0 And The Digital Transformation Of International Business

202,77€ + 10% CARD

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 The book throws light on the ongoing trends in international business, integration of information technology with global businesses, its role in value co-creation, resource integration, and service for service exchange.
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