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專屬於您的推薦

A Compact Course on Linear PDEs

由 Alberto Valli ……

系列 series Mathematics and Statistics (R0)
This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems, …… 閱讀更多內容

NT$2,290 TWD

This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems,
... 閱讀更多內容
Bounds for Determinants of Linear Operators and their Applications

由 Michael Gil' ……

系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and …… 閱讀更多內容

NT$7,241 TWD

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and
... 閱讀更多內容
Fundamentals of Convex Analysis and Optimization

A Supremum Function Approach

由 Rafael Correa, Abderrahim Hantoute, Marco A. López ……

系列 series Mathematics and Statistics (R0)
This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a …… 閱讀更多內容

NT$1,762 TWD

This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a
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Morrey Spaces

Introduction and Applications to Integral Operators and PDE’s, Volume II

由 Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim ……

系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications …… 閱讀更多內容

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Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications
... 閱讀更多內容
Open Quantum Systems

A Mathematical Perspective

編輯者: Dorothea Bahns, Anke Pohl, Ingo Witt ……

系列 series Tutorials, Schools, and Workshops in the Mathematical Sciences
This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to …… 閱讀更多內容

NT$2,818 TWD

This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to
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Index Theory Beyond the Fredholm Case

由 Alan Carey, Galina Levitina ……

系列 series Mathematics and Statistics (R0)
This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in …… 閱讀更多內容

NT$2,114 TWD

This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in
... 閱讀更多內容
Singular Bilinear Integrals

由 Brian Raymond Frederick Jefferies ……

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for …… 閱讀更多內容

NT$2,312 TWD

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for
... 閱讀更多內容
Topics in Uniform Approximation of Continuous Functions

由 Ileana Bucur, Gavriil Paltineanu ……

系列 series Mathematics and Statistics (R0)
This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by …… 閱讀更多內容

NT$1,937 TWD

This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by
... 閱讀更多內容
Semitopological Vector Spaces

Hypernorms, Hyperseminorms, and Operators

由 Mark Burgin ……

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and …… 閱讀更多內容

NT$5,766 TWD

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and
... 閱讀更多內容
Groupoid Metrization Theory

With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

由 Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux ……

系列 series Mathematics and Statistics (R0)
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique features of Metrization Theory for Groupoids: …… 閱讀更多內容

NT$3,170 TWD

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique features of Metrization Theory for Groupoids:
... 閱讀更多內容
Orthonormal Series Estimators

由 Odile Pons ……

The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions …… 閱讀更多內容

NT$2,312 TWD

The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions
... 閱讀更多內容
Approximation with Positive Linear Operators and Linear Combinations

由 Vijay Gupta, Gancho Tachev ……

系列 series Mathematics and Statistics (R0)
This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , …… 閱讀更多內容

NT$3,170 TWD

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln ,
... 閱讀更多內容
Proof of the Riemann Hypothesis

由 Marcello Colozzo ……

We prove the Riemann Hypothesis by studying the behavior of a holomorphic function which has the same non-trivial zeros as the Riemann zeta function.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of Mathematics and Physics since 2008 through the Extra Byte website where "simulations" are performed in the Mathematica computing environment. In recent years he has …… 閱讀更多內容

NT$62 TWD 透過 Kobo Plus 免費享用

We prove the Riemann Hypothesis by studying the behavior of a holomorphic function which has the same non-trivial zeros as the Riemann zeta function.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of Mathematics and Physics since 2008 through the Extra Byte website where "simulations" are performed in the Mathematica computing environment. In recent years he has
... 閱讀更多內容
From Classical to Modern Analysis

由 Rinaldo B. Schinazi ……

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of …… 閱讀更多內容

NT$1,762 TWD

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of
... 閱讀更多內容
Number Theory And Its Applications

由 Fuhuo Li, Nianliang Wang, Shigeru Kanemitsu ……

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in …… 閱讀更多內容

NT$657 TWD

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in
... 閱讀更多內容
EuroMillions Illusion, Hasard et Stratégies Intelligentes

Économie, finance et travail

由 Eric Giegelmann ……

系列 series Économie, finance et travail
EuroMillions : Illusion, Hasard et Stratégies IntelligentesChaque semaine, des millions de joueurs misent sur un rêve : celui de devenir riche grâce à l'EuroMillions. Mais derrière la promesse du jackpot, que faut-il vraiment savoir ?Ce livre propose une exploration claire et honnête du célèbre jeu européen. Découvrez :Comment fonctionne vraiment l'EuroMillionsLes vraies probabilités et ce que …… 閱讀更多內容

NT$63 TWD 透過 Kobo Plus 免費享用

EuroMillions : Illusion, Hasard et Stratégies IntelligentesChaque semaine, des millions de joueurs misent sur un rêve : celui de devenir riche grâce à l'EuroMillions. Mais derrière la promesse du jackpot, que faut-il vraiment savoir ?Ce livre propose une exploration claire et honnête du célèbre jeu européen. Découvrez :Comment fonctionne vraiment l'EuroMillionsLes vraies probabilités et ce que
... 閱讀更多內容
Minha Entrevista À Revista Inversos - 2018

由 Celso Prei ……

MINHA ENTREVISTA À REVISTA INVERSOS - 2018 completa - leitura grátis …… 閱讀更多內容

NT$330 TWD 透過 Kobo Plus 免費享用

MINHA ENTREVISTA À REVISTA INVERSOS - 2018 completa - leitura grátis
... 閱讀更多內容
A Concise Introduction to Analysis

由 Daniel W. Stroock ……

系列 series Mathematics and Statistics (R0)
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and …… 閱讀更多內容

NT$1,584 TWD

This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and
... 閱讀更多內容
Spectral Theory of Block Multivalued Operator Matrices

由 Aymen Ammar, Aref Jeribi ……

系列 series Mathematics and Statistics (R0)
This book presents a wide panorama of methods to investigate the spectral theory of bounded and unbounded block matrices of linear relations. It explains some conditions to prove some Frobenius–Schur decompositions for linear relations and characterizes the stability of the essential spectra of these linear relations. It focuses on the study of the Fredholm theory in both Banach and Hilbert spaces …… 閱讀更多內容

NT$4,228 TWD

This book presents a wide panorama of methods to investigate the spectral theory of bounded and unbounded block matrices of linear relations. It explains some conditions to prove some Frobenius–Schur decompositions for linear relations and characterizes the stability of the essential spectra of these linear relations. It focuses on the study of the Fredholm theory in both Banach and Hilbert spaces
... 閱讀更多內容
Operator Approximant Problems Arising from Quantum Theory

由 Philip J. Maher ……

This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses. …… 閱讀更多內容

NT$1,762 TWD

This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses.
... 閱讀更多內容
Theory of Distributions

由 Svetlin G. Georgiev ……

系列 series Mathematics and Statistics (R0)
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This …… 閱讀更多內容

NT$1,937 TWD

This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This
... 閱讀更多內容
An Introductory Course in Functional Analysis

由 Adam Bowers, Nigel J. Kalton ……

系列 series Mathematics and Statistics (R0)
Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in …… 閱讀更多內容

NT$2,642 TWD

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in
... 閱讀更多內容
Writing Proofs in Analysis

由 Jonathan M. Kane ……

系列 series Mathematics and Statistics (R0)
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical …… 閱讀更多內容

NT$2,114 TWD

This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical
... 閱讀更多內容
Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

A Functional Approach

由 Viviane Baladi ……

系列 series Mathematics and Statistics (R0)
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer …… 閱讀更多內容

NT$4,228 TWD

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer
... 閱讀更多內容

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