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From Points to Right Triangles

Basic Math Along the Road to Uncertainty

by Selraybob ...

Series Book 1 - The Math to Uncertainty
Selraybob and his buddies Herm and Carl continue to explore the math necessary to understand Heisenberg's Uncertainty Principle. Step one: triangles. Without triangles, Selraybob discovered, there is no quantum mechanics and there is no Uncertainty Principle. In this unconventional math book Sel and friends share the basics that began their mathematical road to Heisenberg.Included in this book:-- ... Read more

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Selraybob and his buddies Herm and Carl continue to explore the math necessary to understand Heisenberg's Uncertainty Principle. Step one: triangles. Without triangles, Selraybob discovered, there is no quantum mechanics and there is no Uncertainty Principle. In this unconventional math book Sel and friends share the basics that began their mathematical road to Heisenberg.Included in this book:--
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Operator Theory Problem Book, An

by Mohammed Hichem Mortad ...

This book is for third and fourth year university mathematics students (and Master students) as well as lecturers and tutors in mathematics and anyone who needs the basic facts on Operator Theory (e.g. Quantum Mechanists). The main setting for bounded linear operators here is a Hilbert space. There is, however, a generous part on General Functional Analysis (not too advanced though). There is also ... Read more

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This book is for third and fourth year university mathematics students (and Master students) as well as lecturers and tutors in mathematics and anyone who needs the basic facts on Operator Theory (e.g. Quantum Mechanists). The main setting for bounded linear operators here is a Hilbert space. There is, however, a generous part on General Functional Analysis (not too advanced though). There is also
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Frontiers In Orthogonal Polynomials And Q-series

by M Zuhair Nashed, Xin Li ...

Series Book 1 - Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes
This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q ... Read more

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This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q
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Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory

by 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 ... Read more

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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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Nonabsolute Integration On Measure Spaces

by Wee Leng Ng ...

Series Book 14 - Series In Real Analysis
This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock-Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers.It is widely acknowledged that the biggest difficulty ... Read more

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This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock-Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers.It is widely acknowledged that the biggest difficulty
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Functional Equations On Groups

by Henrik Stetkaer ...

This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents, ... Read more

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This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents,
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Inequalities In Analysis And Probability

by Odile Pons ...

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to ... Read more

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The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to
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Equations of Mathematical Physics

Generalized Functions and Historical Notes

by A. S. Demidov ...

Series series Mathematics and Statistics (R0)
This concise volume presents an overview of equations of mathematical physics and generalized functions. While intended for advanced readers, the accessible introduction and text structure allows beginners to study at their own pace as the material gradually increases in difficulty. The text introduces the concept of generalized Sobolev functions and L. Schwartz distributions briefly in the ... Read more

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This concise volume presents an overview of equations of mathematical physics and generalized functions. While intended for advanced readers, the accessible introduction and text structure allows beginners to study at their own pace as the material gradually increases in difficulty. The text introduces the concept of generalized Sobolev functions and L. Schwartz distributions briefly in the
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Trotter-Kato Product Formulæ

by Valentin A. Zagrebnov, Hagen Neidhardt, Takashi Ichinose ...

Series series Mathematics and Statistics (R0)
The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces. It also includes results on the operator-norm convergent product formulæ for solution operators of the non-autonomous Cauchy problems as well as similar results on the unitary and Zeno product formulæ.After the Sophus Lie product ... Read more

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The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces. It also includes results on the operator-norm convergent product formulæ for solution operators of the non-autonomous Cauchy problems as well as similar results on the unitary and Zeno product formulæ.After the Sophus Lie product
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Mathematical Analysis, Approximation Theory and Their Applications

Edited by Vijay Gupta, Themistocles M. Rassias ...

Series series Mathematics and Statistics (R0)
Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, ... Read more

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Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory,
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Functional Analytic Techniques for Diffusion Processes

by Kazuaki Taira ...

Series series Mathematics and Statistics (R0)
This book is an easy-to-read reference providing a link between functional analysis and diffusion processes. More precisely, the book takes readers to a mathematical crossroads of functional analysis (macroscopic approach), partial differential equations (mesoscopic approach), and probability (microscopic approach) via the mathematics needed for the hard parts of diffusion processes. This work ... Read more

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This book is an easy-to-read reference providing a link between functional analysis and diffusion processes. More precisely, the book takes readers to a mathematical crossroads of functional analysis (macroscopic approach), partial differential equations (mesoscopic approach), and probability (microscopic approach) via the mathematics needed for the hard parts of diffusion processes. This work
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Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube

by Soon-Mo Jung ...

Series series Mathematics and Statistics (R0)
This book discusses the process by which Ulam's conjecture is proved, aptly detailing how mathematical problems may be solved by systematically combining interdisciplinary theories. It presents the state-of-the-art of various research topics and methodologies in mathematics, and mathematical analysis by presenting the latest research in emerging research areas, providing motivation for further ... Read more

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This book discusses the process by which Ulam's conjecture is proved, aptly detailing how mathematical problems may be solved by systematically combining interdisciplinary theories. It presents the state-of-the-art of various research topics and methodologies in mathematics, and mathematical analysis by presenting the latest research in emerging research areas, providing motivation for further
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Extended Abstracts Fall 2019

Spaces of Analytic Functions: Approximation, Interpolation, Sampling

Edited by Evgeny Abakumov, Anton Baranov, Alexander Borichev, Konstantin Fedorovskiy, Joaquim Ortega-Cerdà ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their ... Read more

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This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their
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Recent Advances in Mathematical Analysis

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This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary. ... Read more

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This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.
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Functional Analysis for the Applied Sciences

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Series series Mathematics and Statistics (R0)
This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving diﬀerential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and ... Read more

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This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving diﬀerential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and
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Approximate Fixed Points of Nonexpansive Mappings

by Alexander J. Zaslavski ...

Series series Mathematics and Statistics (R0)
Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequalities, monotone operators, feasibility problems, and optimization theory, to name just several. This book discusses iteration processes associated with a given nonlinear mapping which generate its approximate fixed point and in some cases converge to ... Read more

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Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequalities, monotone operators, feasibility problems, and optimization theory, to name just several. This book discusses iteration processes associated with a given nonlinear mapping which generate its approximate fixed point and in some cases converge to
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Self-adjoint Extensions in Quantum Mechanics

General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials

by D.M. Gitman, I.V. Tyutin, B.L. Voronov ...

Series series Mathematics and Statistics (R0)
Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a “naïve” treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, ... Read more

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Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a “naïve” treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators,
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Operator Theory and Harmonic Analysis

OTHA 2020, Part II – Probability-Analytical Models, Methods and Applications

Edited by Alexey N. Karapetyants, Igor V. Pavlov, Albert N. Shiryaev ...

Series Book 2 - Springer Nature Proceedings excluding Computer Science
This volume is part of the collaboration agreement between Springer and the ISAAC society.This is the second in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University, Rostov-on-Don, Russia. This volume focuses on mathematical ... Read more

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This volume is part of the collaboration agreement between Springer and the ISAAC society.This is the second in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University, Rostov-on-Don, Russia. This volume focuses on mathematical
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The Scottish Book

Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book

Edited by R. Daniel Mauldin ...

The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as ... Read more

133,55 €

The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as
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Applications of Nonlinear Analysis

Edited by Themistocles M. Rassias ...

Series series Mathematics and Statistics (R0)
New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory.Topics include:Fixed point theoryFixed ... Read more

152,63 €

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory.Topics include:Fixed point theoryFixed
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Equations Involving Malliavin Calculus Operators

Applications and Numerical Approximation

by Hermann Mena, Tijana Levajković ...

Series series Mathematics and Statistics (R0)
This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its ... Read more

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This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its
... Read more
Set-Valued Stochastic Integrals and Applications

by Michał Kisielewicz ...

Series series Mathematics and Statistics (R0)
This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with ... Read more

95,39 €

This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with
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Direct and Inverse Problems with Applications

Extended Abstracts of the 2024 GAP Center Summer School

Edited by 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 ... Read more

162,17 €

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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Integral Operators in Non-Standard Function Spaces

Volume 3: Advances in Grand Function Spaces

by Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko ...

Series series Mathematics and Statistics (R0)
The present monograph serves as a natural extension of the prior 2-volume monograph with the same title and by the same authors, which encompassed findings up until 2014. This four-volume project encapsulates the authors’ decade-long research in the trending topic of nonstandard function spaces and operator theory.One of the main novelties of the present book is to develop the extrapolation theory ... Read more

162,17 €

The present monograph serves as a natural extension of the prior 2-volume monograph with the same title and by the same authors, which encompassed findings up until 2014. This four-volume project encapsulates the authors’ decade-long research in the trending topic of nonstandard function spaces and operator theory.One of the main novelties of the present book is to develop the extrapolation theory
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Recommended For You

Functional Analysis eBooks

From Points to Right Triangles

Operator Theory Problem Book, An

Frontiers In Orthogonal Polynomials And Q-series

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

Nonabsolute Integration On Measure Spaces

Functional Equations On Groups

Inequalities In Analysis And Probability

Equations of Mathematical Physics

Trotter-Kato Product Formulæ

Mathematical Analysis, Approximation Theory and Their Applications

Functional Analytic Techniques for Diffusion Processes

Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube

Extended Abstracts Fall 2019

Recent Advances in Mathematical Analysis

Functional Analysis for the Applied Sciences

Approximate Fixed Points of Nonexpansive Mappings

Self-adjoint Extensions in Quantum Mechanics

Operator Theory and Harmonic Analysis

The Scottish Book

Applications of Nonlinear Analysis

Equations Involving Malliavin Calculus Operators

Set-Valued Stochastic Integrals and Applications

Direct and Inverse Problems with Applications

Integral Operators in Non-Standard Function Spaces