Skip to main content
Elsevier

Books in Algebraic geometry

  • Algebraic Geometry and Commutative Algebra

    In Honor of Masayoshi Nagata
    • 1st Edition
    • Hiroaki Hijikata + 2 more
    • English
    Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from Weierstrass models and endomorphism algebras of abelian varieties to the generic Torelli theorem for hypersurfaces in compact irreducible hermitian symmetric spaces. Coarse moduli spaces for curves are also discussed, along with discriminants of curves of genus 2 and arithmetic surfaces. Comprised of 14 chapters, this volume begins by describing a basic fibration as a Weierstrass model, with emphasis on elliptic threefolds with a section. The reader is then introduced to canonical bundles of analytic surfaces of class VII0 with curves; Lifting Problem on ideal-adically complete noetherian rings; and the canonical ring of a curve. Subsequent chapters deal with algebraic surfaces for regular systems of weights; elementary transformations of algebraic vector bundles; the irreducibility of the first differential equation of Painlevé; and F-pure normal rings of dimension two. The book concludes with an assessment of the existence of some curves. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.

  • Boundary Value Problems For Second Order Elliptic Equations

    • 1st Edition
    • A.V. Bitsadze
    • English
    Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.

  • Saks Spaces and Applications to Functional Analysis

    • 1st Edition
    • Volume 28
    • English

  • Near-rings: The Theory and its Applications

    • 1st Edition
    • Volume 23
    • English

  • Approximation of Vector Valued Functions

    • 1st Edition
    • Volume 25
    • English
    This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.

  • Topological Algebras

    • 1st Edition
    • Volume 24
    • English
    This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c). It characterizes the maximal ideals and homomorphisms closed maximal ideals and continuous homomorphisms of topological algebras in general and C(T,F,c) in particular. A considerable inroad is made into the properties of C(T,F,c) as a topological vector space. Many of the results about C(T,F,c) serve to illustrate and motivate results about general topological algebras. Attention is restricted to the algebra C(T,R) of real-valued continuous functions and to the pursuit of the maximal ideals and real-valued homomorphisms of such algebras. The chapter presents the correlation of algebraic properties of C(T,F) with purely topological properties of T. The Stone–Čech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.

  • Introduction to Banach Spaces and their Geometry

    • 1st Edition
    • Volume 68
    • English

  • Pseudo-convexite¦, convexite¦ polynomiale et domaines dÆholomorphie en dimension infinie

    • 1st Edition
    • Volume 3
    • English

  • Finite Groups Æ72

    Proceedings of the Gainesville Conference on Finite Groups, March 23-24, 1972
    • 1st Edition
    • Volume 7
    • English

  • Spectral Theory and Asymptotics of Differential Equations

    Proceedings of the Scheveningen Conference on Differential Equations, the Netherlands
    • 1st Edition
    • Volume 13
    • English

  • Intensional and Higher-Order Modal Logic

    With applications to Montague semantics
    • 1st Edition
    • Volume 19
    • English

  • Volterra Stieltjes-Integral Equations

    Functional analytic methods, linear constraints
    • 1st Edition
    • Volume 16
    • English

  • Vector Measures and Control Systems

    • 1st Edition
    • Volume 20
    • English

  • Locally Compact Semi-Algebras

    With applications to spectral theory of positive operators
    • 1st Edition
    • Volume 9
    • English

  • Holomorphic Functions, Domains of Holomorphy and Local Properties

    • 1st Edition
    • Volume 1
    • English

  • Topology and Borel Structure

    Descriptive topology and set theory with applications to functional analysis and measure theory
    • 1st Edition
    • Volume 10
    • English

  • Matched Asymptotic Expansions and Singular Perturbations

    • 1st Edition
    • Volume 6
    • English

  • Divisor Theory in Module Categories

    • 1st Edition
    • Volume 14
    • English

  • Analytic Functions and Manifolds in Infinite Dimensional Spaces

    • 1st Edition
    • Volume 11
    • English

  • Spectral Theory and Complex Analysis

    • 1st Edition
    • Volume 4
    • English

  • Degrees of Unsolvability

    • 1st Edition
    • Volume 2
    • English

  • Real Elliptic Curves

    • 1st Edition
    • Volume 54
    • N.L. Alling
    • English

  • Geometric Computations with Interval and New Robust Methods

    Applications in Computer Graphics, GIS and Computational Geometry
    • 1st Edition
    • H Ratschek + 1 more
    • English
    This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free.

  • Power Geometry in Algebraic and Differential Equations

    • 1st Edition
    • Volume 57
    • A.D. Bruno
    • English
    The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems.The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis.

  • Geometry and Its Applications

    • 1st Edition
    • Walter A. Meyer
    • English
    Geometry and Its Applications combines traditional geometry with ideas of recent decades to present a new approach for the 21st century. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidian geometry, non-Euclidian geometry, and transformational geometry. The text integrates realistic applications throughout, includes historical notes in many chapters, and contains student and instructor's guides that support Geometer's Sketchpad. Includes a free instructor's manual to professors of adopting universities.

  • Groups - Modular Mathematics Series

    • 1st Edition
    • Camilla Jordan + 1 more
    • English
    This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.

  • Recent Topics in Nonlinear PDE IV

    • 1st Edition
    • Volume 160
    • English

  • Cylindric Algebras

    • 1st Edition
    • Volume I
    • Bozzano G Luisa
    • English
    Volume I provides a detailed analysis of cylindric algebras, starting with a formulation of their axioms and a development of their elementary properties, and proceeding to a deeper study of their interrelationships by means of general algebraic notions such as subalgebras, homomorphisms, direct products, free algebras, reducts and relativized algebras.

  • Trends in the Theory and Practice of Non-Linear Analysis

    Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984
    • 1st Edition
    • Volume 110
    • English

  • Recent Progress of Algebraic Geometry in Japan

    • 1st Edition
    • Volume 73
    • M. Nagata
    • English

  • Biomathematics in 1980

    Papers presented at a workshop on biomathematics: current status and future perspective, Salerno, April 1980
    • 1st Edition
    • Volume 58
    • English

  • Real Variable Methods in Fourier Analysis

    • 1st Edition
    • Volume 46
    • English

  • Nonlinear Partial Differential Equations

    Sequential and weak solutions
    • 1st Edition
    • Volume 44
    • English

  • Some Applications of Topological K-Theory

    • 1st Edition
    • Volume 45
    • English

  • Introduction to Algebraic Geometry and Algebraic Groups

    • 1st Edition
    • Volume 39
    • English

  • Cohomology of Completions

    • 1st Edition
    • Volume 42
    • English

  • An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

    • 1st Edition
    • Volume 41
    • English

  • Holomorphic Maps and Invariant Distances

    • 1st Edition
    • Volume 40
    • English

  • Graphs and Questionnaires

    • 1st Edition
    • Volume 32
    • English

  • Topics in Arithmetical Functions

    Asymptotic formulae for sums of reciprocals of arithmetical functions and related results
    • 1st Edition
    • Volume 43
    • English

  • Transmutation and Operator Differential Equations

    • 1st Edition
    • Volume 37
    • English

  • Developing Mathematics in Third World Countries

    Proceedings of the international conference held in Khartoum, March 6-9, 1978
    • 1st Edition
    • Volume 33
    • English

  • Approximation Theory and Functional Analysis

    Proceedings of the International Symposium on Approximation Theory, Universidade Estadual de Campinas (UNICAMP) Brazil, August 1-5, 1977
    • 1st Edition
    • Volume 35
    • English

  • Bifurcation of Maps and Applications

    • 1st Edition
    • Volume 36
    • English

  • Contemporary Developments in Continuum Mechanics and Partial Differential Equations

    Proceedings of the International Symposium on Continuum Mechanics and Partial Differential Equations, Rio de Janeiro, August 1977
    • 1st Edition
    • Volume 30
    • English

  • Differential Equations and Applications

    Proceedings of the Third Scheveningen Conference on Differential Equations, the Netherlands, August 29-September 2, 1977
    • 1st Edition
    • Volume 31
    • English

  • Infinite Dimensional Holomorphy and Applications

    • 1st Edition
    • Volume 12
    • English

  • Bornologies and Functional Analysis

    Introductory course on the theory of duality topology-bornology and its use in functional analysis
    • 1st Edition
    • Volume 26
    • English

  • Functional Analysis: Surveys and Recent Results

    Proceedings of the Conference on Functional Analysis, Paderborn, Germany, November 17-21, 1976
    • 1st Edition
    • Volume 27
    • English

  • Hopf Spaces

    • 1st Edition
    • Volume 22
    • English