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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

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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

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Mathematical Quantum Physics

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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

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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

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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

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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

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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.
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Direct and Inverse Scattering for the Matrix Schrödinger Equation

de Tuncay Aktosun, Ricardo Weder ...

Series series Mathematics and Statistics (R0)
Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the ... Leer más

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Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the
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Principles of Fourier Analysis

de Kenneth B. Howell ...

Series series Textbooks in Mathematics
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Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those
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Real Variables

de Alberto Torchinsky ...

A modern introduction to the theory of real variables and its applications to all areas of analysis and partial differential equations. The book discusses the foundations of analysis, including the theory of integration, the Lebesque and abstract integrals, the Radon-Nikodym Theorem, the Theory of Banach and Hilbert spaces, and a glimpse of Fourier series. All material is presented in a clear and ... Leer más

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Banach Function Algebras, Arens Regularity, and BSE Norms

de Harold Garth Dales, Ali Ülger ...

Series series Mathematics and Statistics (R0)
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This book is about semisimple Banach algebras with a focus on those that are commutative.After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties.Some of the questions dealt with in the book are:
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Quaternionic de Branges Spaces and Characteristic Operator Function

de Daniel Alpay, Fabrizio Colombo, Irene Sabadini ...

Series series Mathematics and Statistics (R0)
This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) ... Leer más

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This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense)
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Analysis of Operators on Function Spaces

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Edición de Alexandru Aleman, Haakan Hedenmalm, Dmitry Khavinson, Mihai Putinar ...

Series series Mathematics and Statistics (R0)
This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in the summer of 2018.The book is intended for all researchers in the fields of function theory, ... Leer más

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de Joram Lindenstrauss, David Preiss, Jaroslav Tišer ...

Series Libro 179 - Annals of Mathematics Studies
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Advances in Variational and Hemivariational Inequalities

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Edición de Weimin Han, Stanisław Migórski, Mircea Sofonea ...

Series series Mathematics and Statistics (R0)
This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for ... Leer más

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This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for
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Series series Mathematics and Statistics (R0)
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This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The author is at the forefront of research on the interplay between logic and operator algebras (C*-algebras, in particular). The deep level of scholarship contained in these pages opens doors to
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Monotone Complete C*-algebras and Generic Dynamics

de Kazuyuki Saitô, J. D. Maitland Wright ...

Series series Mathematics and Statistics (R0)
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This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras.Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

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de Jean-Bernard Bru, Walter Alberto de Siqueira Pedra ...

Series series Mathematics and Statistics (R0)
This textbook provides a comprehensive introduction to the mathematical foundations of quantum statistical physics. It presents a conceptually profound yet technically accessible path to the C*-algebraic approach to quantum statistical mechanics, demonstrating how key aspects of thermodynamic equilibrium can be derived as simple corollaries of classical results in convex analysis.Using C*-algebras ... Leer más

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This textbook provides a comprehensive introduction to the mathematical foundations of quantum statistical physics. It presents a conceptually profound yet technically accessible path to the C*-algebraic approach to quantum statistical mechanics, demonstrating how key aspects of thermodynamic equilibrium can be derived as simple corollaries of classical results in convex analysis.Using C*-algebras
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Spectral Theory and Quantum Mechanics

de Mathieu Lewin ...

Series series Mathematics and Statistics (R0)
This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation ... Leer más

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This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation
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Partial Differential Equations in Sobolev and Analytic Spaces

de Aissa Boukarou, Khaled Zennir, Svetlin G Georgiev ...

Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, fluid dynamics, elasticity, general relativity, and quantum mechanics. They also arise in areas like differential geometry and the calculus of variations.This book focuses on recent investigations ... Leer más

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Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, fluid dynamics, elasticity, general relativity, and quantum mechanics. They also arise in areas like differential geometry and the calculus of variations.This book focuses on recent investigations
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A Topological Introduction to Nonlinear Analysis

de Robert F. Brown ...

Series series Mathematics and Statistics (R0)
This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to ... Leer más

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A Course in Abstract Harmonic Analysis

de Gerald B. Folland ...

Series series Textbooks in Mathematics
A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul ... Leer más

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A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul
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Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

de Peter B. Gilkey, JeongHyeong Park, John V. Leahy ...

Series series Studies in Advanced Mathematics
This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Laplacian in the class of smooth compact manifolds without boundary, the authors study the relationship-if any-between the spectrum of Dp on Y and Dp on Z, given that Dp is the p form valued Laplacian and pi: Z (R) Y is a Riemannian submersion.After ... Leer más

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This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Laplacian in the class of smooth compact manifolds without boundary, the authors study the relationship-if any-between the spectrum of Dp on Y and Dp on Z, given that Dp is the p form valued Laplacian and pi: Z (R) Y is a Riemannian submersion.After
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Topics in Fixed Point Theory

Edición de Saleh Almezel, Qamrul Hasan Ansari, Mohamed Amine Khamsi ...

The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as ... Leer más

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The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as
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Sturm–Liouville Theory and its Applications

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Mathematical Quantum Physics

Elementary Introduction to the Lebesgue Integral

A First Course in Functional Analysis

H-Transforms

Direct and Inverse Scattering for the Matrix Schrödinger Equation

Principles of Fourier Analysis

Real Variables

Banach Function Algebras, Arens Regularity, and BSE Norms

Quaternionic de Branges Spaces and Characteristic Operator Function

Analysis of Operators on Function Spaces

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Advances in Variational and Hemivariational Inequalities

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Monotone Complete C*-algebras and Generic Dynamics

C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

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