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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$2,261 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
Aggregation Operators for Various Extensions of Fuzzy Set and Its Applications in Transportation Problems

由 Akansha Mishra, Amit Kumar ……

系列 series Intelligent Technologies and Robotics (R0)
This book introduces readers to the fundamentals of transportation problems under the fuzzy environment and its extensions. It also discusses the limitations and drawbacks of (1) recently proposed aggregation operators under the fuzzy environment and its various extensions; (2) recently proposed methods for solving transportation problems under the fuzzy environment; and (3) recently proposed …… 閱讀更多內容

NT$3,130 TWD

This book introduces readers to the fundamentals of transportation problems under the fuzzy environment and its extensions. It also discusses the limitations and drawbacks of (1) recently proposed aggregation operators under the fuzzy environment and its various extensions; (2) recently proposed methods for solving transportation problems under the fuzzy environment; and (3) recently proposed
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Elliptic Differential Operators and Spectral Analysis

由 D. E. Edmunds, W.D. Evans ……

系列 series Mathematics and Statistics (R0)
This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature.Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and …… 閱讀更多內容

NT$4,173 TWD

This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature.Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and
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Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

由 Kevin Broughan ……

系列第 165 冊 - Encyclopedia of Mathematics and its Applications
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, …… 閱讀更多內容

NT$5,466 TWD

The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables,
... 閱讀更多內容
Operator and Norm Inequalities and Related Topics

編輯者: Richard M. Aron, Mohammad Sal Moslehian, Ilya M. Spitkovsky, Hugo J. Woerdeman ……

系列 series Mathematics and Statistics (R0)
Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in …… 閱讀更多內容

NT$5,216 TWD

Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in
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Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations

Representation-theoretical Viewpoint for Quantum Phenomena

由 Asao Arai ……

系列 series Mathematics and Statistics (R0)
Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more …… 閱讀更多內容

NT$4,521 TWD

Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more
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Spectral Theory of Infinite-Area Hyperbolic Surfaces

由 David Borthwick ……

系列 series Mathematics and Statistics (R0)
This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. …… 閱讀更多內容

NT$3,825 TWD

This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum.
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Solvable Algebras of Pseudodifferential Operators

由 Boris Plamenevskii, Oleg Sarafanov ……

系列 series Mathematics and Statistics (R0)
This book presents original research results on pseudodifferential operators.C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the …… 閱讀更多內容

NT$3,130 TWD

This book presents original research results on pseudodifferential operators.C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the
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Introduction To Analysis With Complex Numbers

由 Irena Swanson ……

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs …… 閱讀更多內容

NT$1,612 TWD

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs
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Unbounded Weighted Composition Operators in L²-Spaces

由 Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel ……

系列 series Mathematics and Statistics (R0)
This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L²-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized.The first-ever criteria for subnormality of …… 閱讀更多內容

NT$1,565 TWD

This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L²-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized.The first-ever criteria for subnormality of
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Excursions in Harmonic Analysis, Volume 6

In Honor of John Benedetto’s 80th Birthday

編輯者: Matthew Hirn, Shidong Li, Kasso A. Okoudjou, Sandra Saliani, Özgür Yilmaz ……

系列 series Mathematics and Statistics (R0)
John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range …… 閱讀更多內容

NT$4,521 TWD

John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range
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Analysis as a Life

Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday

編輯者: Sergei Rogosin, Ahmet Okay Çelebi ……

系列 series Mathematics and Statistics (R0)
This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications …… 閱讀更多內容

NT$3,825 TWD

This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications
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Valdomiro Pereira Da Silva

由 Neiriberto Silva De Freitas ……

O CONSTRUTOR CIVIL, VALDOMIRO PEREIRA DA SILVA, É CONHECIDO COMO UM DOS MELHORES PROFISSIONAIS DA SUA ÁREA;.... …… 閱讀更多內容

NT$260 TWD 透過 Kobo Plus 免費享用

O CONSTRUTOR CIVIL, VALDOMIRO PEREIRA DA SILVA, É CONHECIDO COMO UM DOS MELHORES PROFISSIONAIS DA SUA ÁREA;....
... 閱讀更多內容
Invariant Probabilities of Transition Functions

由 Radu Zaharopol ……

系列 series Mathematics and Statistics (R0)
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other …… 閱讀更多內容

NT$3,130 TWD

The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other
... 閱讀更多內容
Special Techniques For Solving Integrals: Examples And Problems

由 Khristo N Boyadzhiev ……

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and …… 閱讀更多內容

NT$1,373 TWD

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and
... 閱讀更多內容
A Computational Non-commutative Geometry Program for Disordered Topological Insulators

由 Emil Prodan ……

系列 series Physics and Astronomy (R0)
This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, …… 閱讀更多內容

NT$1,913 TWD

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators,
... 閱讀更多內容
Optimal Control of Differential Equations

編輯者: Nicolae H. Pavel ……

系列 series Lecture Notes in Pure and Applied Mathematics
"Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new …… 閱讀更多內容

NT$13,267 TWD

"Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new
... 閱讀更多內容
Level-Crossing Problems and Inverse Gaussian Distributions

Closed-Form Results and Approximations

由 Vsevolod K. Malinovskii ……

系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
***Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations***focusses on the inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework. This approximation, whose name was coined by the author, is a successful competitor of the normal (or Cramér's), diffusion, and Teugels’ …… 閱讀更多內容

NT$8,822 TWD

***Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations***focusses on the inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework. This approximation, whose name was coined by the author, is a successful competitor of the normal (or Cramér's), diffusion, and Teugels’
... 閱讀更多內容
Differential Equations in Banach Spaces

編輯者: Giovanni Dore ……

系列 series Lecture Notes in Pure and Applied Mathematics
This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract …… 閱讀更多內容

NT$8,458 TWD

This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract
... 閱讀更多內容
Splitting Algorithms, Modern Operator Theory, and Applications

編輯者: Heinz H. Bauschke, Regina S. Burachik, D. Russell Luke ……

系列 series Mathematics and Statistics (R0)
This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable methods. The theory of …… 閱讀更多內容

NT$3,478 TWD

This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable methods. The theory of
... 閱讀更多內容
Generalized Calculus with Applications to Matter and Forces

由 Luis Manuel Braga de Costa Campos ……

系列 series Mathematics and Physics for Science and Technology
Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera …… 閱讀更多內容

NT$3,151 TWD

Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera
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Almost Periodic Solutions of Differential Equations in Banach Spaces

由 Yoshiyuki Hino, Toshiki Naito, Nguyen VanMinh, Jong Son Shin ……

系列 series Stability and Control: Theory, Methods and Applications
This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with …… 閱讀更多內容

NT$8,126 TWD

This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with
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Orlicz Spaces and Generalized Orlicz Spaces

由 Petteri Harjulehto, Peter Hästö ……

系列 series Mathematics and Statistics (R0)
This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, …… 閱讀更多內容

NT$1,565 TWD

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove,
... 閱讀更多內容
Wavelets

A Primer

由 Christian Blatter ……

The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas. This book grew out of a short course for mathematics students at the ETH in Zurich; it provides a solid mathematical foundation for the broad range of …… 閱讀更多內容

NT$2,686 TWD

The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas. This book grew out of a short course for mathematics students at the ETH in Zurich; it provides a solid mathematical foundation for the broad range of
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