Enrico Valdinoci – författare
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21 produkter
21 produkter
Häftad, Engelska, 2026
608 kr
Kommande
This textbook provides an accessible and visually intuitive introduction to Fourier series, which is one of the most powerful mathematical tools used to understand patterns, signals, and data. Equally well suited as a classroom textbook or a self-study resource, it is designed to be accessible to students encountering the subject for the first time, while also offering the rigor and breadth needed to support their scientific development in later years. The text balances depth, clarity, and readability, integrating strong visual intuition with fully rigorous theoretical development. Concepts are introduced in a way that highlights the geometric and intuitive structures underlying Fourier analysis, while maintaining the mathematical precision expected at higher levels of study. The exposition is carefully structured to guide readers from basic principles to more advanced results without sacrificing accessibility or conceptual insight.The book is also particularly distinctive in its coherent and unified presentation of both theory and real-world applications, weaving significant applications from engineering, physics, data analysis, and differential equations seamlessly into the theoretical narrative. The result is a text that not only teaches Fourier analysis in a rigorous and accessible way but also demonstrates its power and versatility across a wide range of scientific and technological fields.
Inbunden, Engelska, 2026
1 564 kr
Kommande
This textbook provides an accessible and visually intuitive introduction to Fourier series, which is one of the most powerful mathematical tools used to understand patterns, signals, and data. Equally well suited as a classroom textbook or a self-study resource, it is designed to be accessible to students encountering the subject for the first time, while also offering the rigor and breadth needed to support their scientific development in later years. The text balances depth, clarity, and readability, integrating strong visual intuition with fully rigorous theoretical development. Concepts are introduced in a way that highlights the geometric and intuitive structures underlying Fourier analysis, while maintaining the mathematical precision expected at higher levels of study. The exposition is carefully structured to guide readers from basic principles to more advanced results without sacrificing accessibility or conceptual insight.The book is also particularly distinctive in its coherent and unified presentation of both theory and real-world applications, weaving significant applications from engineering, physics, data analysis, and differential equations seamlessly into the theoretical narrative. The result is a text that not only teaches Fourier analysis in a rigorous and accessible way but also demonstrates its power and versatility across a wide range of scientific and technological fields.
Häftad, Engelska, 2024
603 kr
Skickas inom 10-15 vardagar
This monograph introduces a new mathematical model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. Its main feature is the expansion of the family of Lotka-Volterra systems by introducing a new term that defines aggression. Because the model is flexible, it can be applied to various scenarios in the context of human populations, such as strategy games, competition in the marketplace, and civil wars.Drawing from a variety of methodologies within dynamical systems, ODEs, and mathematical biology, the authors' approach focuses on the dynamical properties of the system. This is accomplished by detecting and describing all possible equilibria, and analyzing the strategies that may lead to the victory of the aggressive population. Techniques typical of two-dimensional dynamical systems are used, such as asymptotic behaviors regulated by the Poincaré–Bendixson Theorem.A New Lotka-Volterra Model of Competition With Strategic Aggression will appeal to researchers and students studying population dynamics and dynamical systems, particularly those interested in the cross section between mathematics and ecology.
E-bok
Engelska, 2024764 kr
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This monograph introduces a new mathematical model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. Its main feature is the expansion of the family of Lotka-Volterra systems by introducing a new term that defines aggression. Because the model is flexible, it can be applied to various scenarios in the context of human populations, such as strategy games, competition in the marketplace, and civil wars.
Drawing from a variety of methodologies within dynamical systems, ODEs, and mathematical biology, the authors'' approach focuses on the dynamical properties of the system. This is accomplished by detecting and describing all possible equilibria, and analyzing the strategies that may lead to the victory of the aggressive population. Techniques typical of two-dimensional dynamical systems are used, such as asymptotic behaviors regulated by the Poincaré–Bendixson Theorem.
A New Lotka-Volterra Model of Competition With Strategic Aggression will appeal to researchers and students studying population dynamics and dynamical systems, particularly those interested in the cross section between mathematics and ecology.
Del 176 - UNITEXT
Gentle Invitation to the Fractional World
Häftad, Engelska, 2025
546 kr
Skickas inom 5-8 vardagar
The book focuses on the basic theory of nonlocal and fractional operators and it is divided into two main parts covering respectively the basic theory of the "singular-integral" fractional Laplacian operator, which also includes a number of explicit examples of its evaluations, and the regularity theory in L^p spaces, by going through Bessel and Besov spaces. A number of appendices then go over additional material in order to make the exposition as self-contained as possible.The book is suitable for a PhD course but can be also read by advanced undergraduates. It contains didactic elements, but it is also useful for researchers, since it collects essential material in a concise and self-constrained way.
E-bok
Engelska, 2025687 kr
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The book focuses on the basic theory of nonlocal and fractional operators and it is divided into two main parts covering respectively the basic theory of the "e;singular-integral"e; fractional Laplacian operator, which also includes a number of explicit examples of its evaluations, and the regularity theory in L^p spaces, by going through Bessel and Besov spaces. A number of appendices then go over additional material in order to make the exposition as self-contained as possible.The book is suitable for a PhD course but can be also read by advanced undergraduates. It contains didactic elements, but it is also useful for researchers, since it collects essential material in a concise and self-constrained way.
Inbunden, Engelska, 2019
1 320 kr
Skickas inom 5-8 vardagar
This book presents in a detailed and self-contained way a new and important density result in the analysis of fractional partial differential equations, while also covering several fundamental facts about space- and time-fractional equations.
E-bok
Engelska, 20191 385 kr
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This book presents in a detailed and self-contained way a new and important density result in the analysis of fractional partial differential equations, while also covering several fundamental facts about space- and time-fractional equations.
E-bok
PDF, Engelska, 20191 385 kr
Läs direkt efter köp
This book presents in a detailed and self-contained way a new and important density result in the analysis of fractional partial differential equations, while also covering several fundamental facts about space- and time-fractional equations.
Del 20 - Lecture Notes of the Unione Matematica Italiana
Nonlocal Diffusion and Applications
Häftad, Engelska, 2016
711 kr
Skickas inom 10-15 vardagar
Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance.
E-bok
PDF, Engelska, 2016840 kr
Läs direkt efter köp
Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance.
Del 2211 - Lecture Notes in Mathematics
Partial Differential Equations and Geometric Measure Theory
Cetraro, Italy 2014
Häftad, Engelska, 2018
586 kr
Skickas
This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered. The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2–7, 2014, should help to encourage further research in the area. The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.
1 001 kr
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This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered. The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'''' in Cetraro, June 2–7, 2014, should help to encourage further research in the area. The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.
Häftad, Engelska, 2013
309 kr
Skickas inom 5-8 vardagar
This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.
E-bok
PDF, Engelska, 2014397 kr
Läs direkt efter köp
This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.
Häftad, Engelska, 2017
277 kr
Skickas inom 5-8 vardagar
These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.
E-bok
PDF, Engelska, 2017317 kr
Läs direkt efter köp
These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.
The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.
Inbunden, Engelska, 2024
2 364 kr
Skickas inom 3-6 vardagar
This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate or graduate course.The book considers many important issues such as existence, regularity, qualitative properties, and all the classical topics useful in the wide world of partial differential equations. It also includes applications with interesting examples.The structure of the book is flexible enough to allow different chapters to be taught independently.The book is friendly, welcoming, and written for a newcomer to the subject.It is essentially self-contained, making it easy to read, and all the concepts are fully explained from scratch, combining intuition and rigor, and therefore it can also be read independently by students, with limited or no supervision.
Häftad, Engelska, 2024
1 206 kr
Skickas inom 3-6 vardagar
This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate or graduate course.The book considers many important issues such as existence, regularity, qualitative properties, and all the classical topics useful in the wide world of partial differential equations. It also includes applications with interesting examples.The structure of the book is flexible enough to allow different chapters to be taught independently.The book is friendly, welcoming, and written for a newcomer to the subject.It is essentially self-contained, making it easy to read, and all the concepts are fully explained from scratch, combining intuition and rigor, and therefore it can also be read independently by students, with limited or no supervision.
Elliptic Partial Differential Equations From An Elementary Viewpoint: What The Laplacian Is Good For
Inbunden, Engelska, 2026
2 229 kr
Skickas inom 3-6 vardagar
This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their surprising appearances across science, engineering, and even everyday life. Blending mathematical rigor with an accessible and engaging style, it introduces the Laplace operator and elliptic PDEs through diverse real-world phenomena, from physics and biology to artificial intelligence and image processing.Readers will explore fundamental topics such as diffusion, wave propagation, and fluid dynamics, alongside unexpected applications — including pattern formation in nature, traffic jams, quantum mechanics, and even the mathematics behind fighting pandemics and cancer. With a focus on both intuition and formalism, the book provides a wealth of examples, historical insights, and thought-provoking problems that make the subject come alive.Awarded the prestigious Book Prize of the Unione Matematica Italiana, this work has been praised as "a remarkable journey through delightful applications of elliptic PDEs, all while maintaining the highest standards of mathematical rigor." Whether you are a student, researcher, or simply curious about how mathematics shapes the world around us, this book will challenge and inspire you.
Elliptic Partial Differential Equations From An Elementary Viewpoint: What The Laplacian Is Good For
Häftad, Engelska, 2026
1 081 kr
Skickas inom 3-6 vardagar
This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their surprising appearances across science, engineering, and even everyday life. Blending mathematical rigor with an accessible and engaging style, it introduces the Laplace operator and elliptic PDEs through diverse real-world phenomena, from physics and biology to artificial intelligence and image processing.Readers will explore fundamental topics such as diffusion, wave propagation, and fluid dynamics, alongside unexpected applications — including pattern formation in nature, traffic jams, quantum mechanics, and even the mathematics behind fighting pandemics and cancer. With a focus on both intuition and formalism, the book provides a wealth of examples, historical insights, and thought-provoking problems that make the subject come alive.Awarded the prestigious Book Prize of the Unione Matematica Italiana, this work has been praised as "a remarkable journey through delightful applications of elliptic PDEs, all while maintaining the highest standards of mathematical rigor." Whether you are a student, researcher, or simply curious about how mathematics shapes the world around us, this book will challenge and inspire you.