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Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory

de Justus Diller ...

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular ... Leer más

$1,208 MXN

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular
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Hypernumbers and Extrafunctions

Extending the Classical Calculus

de Mark Burgin ...

Series series Mathematics and Statistics (R0)
“Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a ... Leer más

$911 MXN

“Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a
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Theory of Np Spaces

de Le Hai Khoi, Javad Mashreghi ...

Series series Mathematics and Statistics (R0)
This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted composition operators on these spaces. The book covers a significant portion of the recent research on ... Leer más

$1,012 MXN

This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted composition operators on these spaces. The book covers a significant portion of the recent research on
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Methods of the Theory of Generalized Functions

de V. S. Vladimirov ...

Series series Analytical Methods and Special Functions
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variab ... Leer más

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This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variab
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Direct and Inverse Problems with Applications

Extended Abstracts of the 2024 GAP Center Summer School

Edición de Marianna Chatzakou, Michael Ruzhansky, Karel Van Bockstal ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathematical tools for addressing both direct and inverse problems across various fields. Through a combination of lectures, problem-solving sessions, and collaborative discussions, the program fostered the ... Leer más

$3,127 MXN

This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathematical tools for addressing both direct and inverse problems across various fields. Through a combination of lectures, problem-solving sessions, and collaborative discussions, the program fostered the
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A Spectral Theory Of Noncommuting Operators

de Rongwei Yang ...

Series series Mathematics and Statistics (R0)
The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment ... Leer más

$1,012 MXN

The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment
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Exercices de distributions

de Simone Malacrida ...

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :distributions et supportsdistributions tempéréesopérations sur les distributionsDes premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices. ... Leer más

$62 MXN

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :distributions et supportsdistributions tempéréesopérations sur les distributionsDes premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
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Integro-Differential Elliptic Equations

de Xavier Fernández-Real, Xavier Ros-Oton ...

Series series Mathematics and Statistics (R0)
This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a ... Leer más

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This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a
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Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Edición de Hemen Dutta, Ljubiša D. R. Kočinac, Hari M. Srivastava ...

Series series Mathematics and Statistics (R0)
This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, ... Leer más

$2,024 MXN

This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems,
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Functional Analysis in Interdisciplinary Applications—II

ICAAM, Lefkosa, Cyprus, September 6–9, 2018

Edición de Allaberen Ashyralyev, Tynysbek Sh. Kalmenov, Michael V. Ruzhansky, Makhmud A. Sadybekov, Durvudkhan Suragan ...

Series series Springer Nature Proceedings excluding Computer Science
Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and ... Leer más

$2,575 MXN

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and
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Finite Elements III

First-Order and Time-Dependent PDEs

de Alexandre Ern, Jean-Luc Guermond ...

Series series Mathematics and Statistics (R0)
This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed ... Leer más

$920 MXN

This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed
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Approximation of Euclidean Metric by Digital Distances

de Jayanta Mukhopadhyay ...

Series series Computer Science (R0)
This book discusses different types of distance functions defined in an n-D integral space for their usefulness in approximating the Euclidean metric. It discusses the properties of these distance functions and presents various kinds of error analysis in approximating Euclidean metrics. It also presents a historical perspective on efforts and motivation for approximating Euclidean metrics by ... Leer más

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This book discusses different types of distance functions defined in an n-D integral space for their usefulness in approximating the Euclidean metric. It discusses the properties of these distance functions and presents various kinds of error analysis in approximating Euclidean metrics. It also presents a historical perspective on efforts and motivation for approximating Euclidean metrics by
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Continuous Semigroups of Holomorphic Self-maps of the Unit Disc

de Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal ...

Series series Mathematics and Statistics (R0)
The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions.The book includes precise descriptions of the behavior of trajectories, backward orbits, petals and boundary behavior in general, aiming to give a rather complete picture of all interesting phenomena that occur. In order to fulfill ... Leer más

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The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions.The book includes precise descriptions of the behavior of trajectories, backward orbits, petals and boundary behavior in general, aiming to give a rather complete picture of all interesting phenomena that occur. In order to fulfill
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Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

de Pascal Auscher, Moritz Egert ...

Series series Mathematics and Statistics (R0)
In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial ... Leer más

$2,391 MXN

In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial
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Aleksandrov-Rassias Problems on Distance Preserving Mappings

de Soon-Mo Jung ...

Series series Mathematics and Statistics (R0)
This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process. In addition, effort has been put into writing this book so that readers can easily understand the content, ... Leer más

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This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process. In addition, effort has been put into writing this book so that readers can easily understand the content,
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Non-Archimedean Operator Theory

de Toka Diagana, François Ramaroson ...

Series series Mathematics and Statistics (R0)
This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized ... Leer más

$920 MXN

This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized
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Linear Algebra with Python

Theory and Applications

de Makoto Tsukada, Yuji Kobayashi, Hiroshi Kaneko, Sin-Ei Takahasi, Kiyoshi Shirayanagi, Masato Noguchi ...

Series series Mathematics and Statistics (R0)
This textbook is for those who want to learn linear algebra from the basics. After a brief mathematical introduction, it provides the standard curriculum of linear algebra based on an abstract linear space. It covers, among other aspects: linear mappings and their matrix representations, basis, and dimension; matrix invariants, inner products, and norms; eigenvalues and eigenvectors; and Jordan ... Leer más

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This textbook is for those who want to learn linear algebra from the basics. After a brief mathematical introduction, it provides the standard curriculum of linear algebra based on an abstract linear space. It covers, among other aspects: linear mappings and their matrix representations, basis, and dimension; matrix invariants, inner products, and norms; eigenvalues and eigenvectors; and Jordan
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A Compact Course on Linear PDEs

de Alberto Valli ...

Series 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, ... Leer más

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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,
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Sturm–Liouville Theory and its Applications

de M. A. Al-Gwaiz ...

Series series Mathematics and Statistics (R0)
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The treatment relies heavily on the convergence properties of sequences and series of numbers as well as functions and assumes a solid background in advanced calculus and an acquaintance with ordinary differential ... Leer más

$920 MXN

Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The treatment relies heavily on the convergence properties of sequences and series of numbers as well as functions and assumes a solid background in advanced calculus and an acquaintance with ordinary differential
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A List of Factorial Math Constants

de Anonymous ...

A List of Factorial Math Constants is a compact numerical reference gathering constants and tabulated values built from factorial expressions—factorials and related products, ratios, and series whose terms involve n!. Designed for quick consultation rather than narrative reading, it presents computed decimal values (often to many places) and organized tables useful for hand calculation, checking ... Leer más

$229 MXN

A List of Factorial Math Constants is a compact numerical reference gathering constants and tabulated values built from factorial expressions—factorials and related products, ratios, and series whose terms involve n!. Designed for quick consultation rather than narrative reading, it presents computed decimal values (often to many places) and organized tables useful for hand calculation, checking
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Mathematical Quantum Physics

A Foundational Introduction

de Gabriele Nunzio Tornetta ...

Series series Physics and Astronomy (R0)
This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry. Topics like relativistic invariance, quantum systems with finite and infinitely many degrees of freedom, second quantisation, scattering theory, are all presented through the formalism of ... Leer más

$1,656 MXN

This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry. Topics like relativistic invariance, quantum systems with finite and infinitely many degrees of freedom, second quantisation, scattering theory, are all presented through the formalism of
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Elementary Introduction to the Lebesgue Integral

de Steven G. Krantz ...

Series series Textbooks in Mathematics
Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of its important properties with respect to limits. For this reason, it is vital that mathematical ... Leer más

$1,634 MXN

Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of its important properties with respect to limits. For this reason, it is vital that mathematical
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A First Course in Functional Analysis

de Orr Moshe Shalit ...

Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a ... Leer más

$1,221 MXN

Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a
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H-Transforms

Theory and Applications

de Anatoly A. Kilbas ...

Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations. ... Leer más

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Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations.
... Leer más

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eBooks de Análisis funcional

Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory

Hypernumbers and Extrafunctions

Theory of Np Spaces

Methods of the Theory of Generalized Functions

Direct and Inverse Problems with Applications

A Spectral Theory Of Noncommuting Operators

Exercices de distributions

Integro-Differential Elliptic Equations

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Functional Analysis in Interdisciplinary Applications—II

Finite Elements III

Approximation of Euclidean Metric by Digital Distances

Continuous Semigroups of Holomorphic Self-maps of the Unit Disc

Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

Aleksandrov-Rassias Problems on Distance Preserving Mappings

Non-Archimedean Operator Theory

Linear Algebra with Python

A Compact Course on Linear PDEs

Sturm–Liouville Theory and its Applications

A List of Factorial Math Constants

Mathematical Quantum Physics

Elementary Introduction to the Lebesgue Integral

A First Course in Functional Analysis

H-Transforms