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  • Elliptic Partial Differential Equations from an Elementary Viewpoint

    What the Laplacian Is Good For

    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 ... Read more

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  • A New Lotka-Volterra Model of Competition With Strategic Aggression

    Civil Wars When Strategy Comes Into Play

    Series series Mathematics and Statistics (R0)
    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 ... Read more

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  • A Gentle Invitation to the Fractional World

    Series series Mathematics and Statistics (R0)
    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 ... Read more

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  • Elliptic Partial Differential Equations from an Elementary Viewpoint

    A Fresh Glance at the Classical Theory

    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 ... Read more

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  • Contemporary Research in Elliptic PDEs and Related Topics

    Edited by Serena Dipierro ...
    Series series Mathematics and Statistics (R0)
    This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully ... Read more

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  • The Princeton Companion to Mathematics

    This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and ... Read more

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  • Incomplete Nature: How Mind Emerged from Matter

    How Mind Emerged from Matter

    A radical new explanation of how life and consciousness emerge from physics and chemistry.As physicists work toward completing a theory of the universe and biologists unravel the molecular complexity of life, a glaring incompleteness in this scientific vision becomes apparent. The "Theory of Everything" that appears to be emerging includes everything but us: the feelings, meanings, consciousness, ... Read more

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  • Progress on the Study of the Ginibre Ensembles

    Series series Mathematics and Statistics (R0)
    This open access book focuses on the Ginibre ensembles that are non-Hermitian random matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within random matrix theory, featuring, for example, the first book on the subject written by Mehta in 1967. Their status has been consolidated and extended over the following years, as more applications have come to light, and the ... Read more

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  • Fourier Analysis

    An Introduction

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    A New View of Science, Reason, and Religion

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  • Geometric Control Theory and Sub-Riemannian Geometry

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