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  • Recent Developments in Commutative Algebra

    Levico Terme, Trento 2019

    Series series Mathematics and Statistics (R0)
    This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations.Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation ... Read more

    $44.99 USD

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  • Enumerative Combinatorics: Volume 2

    Series Book 62 - Cambridge Studies in Advanced Mathematics
    This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on ... Read more

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  • Lambda Calculus with Types

    Series series Perspectives in Logic
    This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types ... Read more

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  • Recent Advances in Hodge Theory

    Period Domains, Algebraic Cycles, and Arithmetic

    Edited by Matt Kerr, Gregory Pearlstein ...
    Series Book 427 - London Mathematical Society Lecture Note Series
    In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, ... Read more

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  • Algebraic Combinatorics

    Walks, Trees, Tableaux, and More

    Series series Mathematics and Statistics (R0)
    Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and ... Read more

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  • Commutative Algebra

    Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions

    This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet ... Read more

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  • Ridge Functions

    by Allan Pinkus ...
    Series Book 205 - Cambridge Tracts in Mathematics
    Ridge functions are a rich class of simple multivariate functions which have found applications in a variety of areas. These include partial differential equations (where they are sometimes termed 'plane waves'), computerised tomography, projection pursuit in the analysis of large multivariate data sets, the MLP model in neural networks, Waring's problem over linear forms, and approximation theory ... Read more

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  • A First Course in Computational Algebraic Geometry

    Series series AIMS Library of Mathematical Sciences
    A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the ... Read more

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  • Number Theory, Fourier Analysis and Geometric Discrepancy

    Series Book 81 - London Mathematical Society Student Texts
    The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It ... Read more

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  • Crystal Bases: Representations And Combinatorics

    This unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by Kashiwara and Lusztig from the perspective of quantum groups. Its power comes from the fact that it addresses many questions in representation theory and mathematical physics by combinatorial means. This book approaches the subject directly from ... Read more

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  • Homological and Computational Methods in Commutative Algebra

    Dedicated to Winfried Bruns on the Occasion of his 70th Birthday

    Series series Mathematics and Statistics (R0)
    This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the ... Read more

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  • Algebraic Theory of Locally Nilpotent Derivations

    Series series Mathematics and Statistics (R0)
    This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations.The author provides a unified treatment of the subject, beginning with 16 First Principles on which the theory is based. ... Read more

    $143.99 USD