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関数解析 電子書籍

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  • Analysis On Gaussian Spaces

    − Yaozhong Hu ...
    'Written by a well-known expert in fractional stochastic calculus, this book offers a comprehensive overview of Gaussian analysis, with particular emphasis on nonlinear Gaussian functionals. In addition, it covers some topics that are not frequently encountered in other treatments, such as Littlewood-Paley-Stein, etc. This coverage makes the book a valuable addition to the literature. Many results ... もっと見る

    18,413 円

  • Fixed Point Theorems and Applications

    − Vittorino Pata ...
    シリーズ series Mathematics and Statistics (R0)
    This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ... もっと見る

    6,076 円

  • Positive Definite Matrices

    − Rajendra Bhatia ...
    シリーズ series Princeton Series in Applied Mathematics
    This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, ... もっと見る

    6,149 円

  • Quantum Theory for Mathematicians

    − Brian C. Hall ...
    シリーズ series Mathematics and Statistics (R0)
    Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert ... もっと見る

    8,507 円

  • Positive Linear Maps of Operator Algebras

    − Erling Størmer ...
    シリーズ series Mathematics and Statistics (R0)
    This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining ... もっと見る

    14,585 円

  • Hilbert

    − Constance Reid ...
    シリーズ series Social Sciences (R0)
    Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the ... もっと見る

    4,254 円

  • The Golden Ticket

    P, NP, and the Search for the Impossible

    − Lance Fortnow ...
    The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron ... もっと見る

    3,068 円

  • Direct and Inverse Sturm-Liouville Problems

    A Method of Solution

    − Vladislav V. Kravchenko ...
    シリーズ series Mathematics and Statistics (R0)
    This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical ... もっと見る

    6,685 円

  • Problems And Proofs In Real Analysis: Theory Of Measure And Integration

    − James J Yeh ...
    This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text.This volume will be especially ... もっと見る

    8,019 円

  • Exercises of Galois Theory

    − Simone Malacrida ...
    In this book, exercises are carried out regarding the following mathematical topics:polynomials and symmetrical formsCauchy modules and monodromyBinomial, second-, third- and fourth-degree equations.Initial theoretical hints are also presented to make the conduct of the exercises understandable. ... もっと見る

    634 円

  • Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

    − Mikhail Borsuk ...
    シリーズ series Mathematics and Statistics (R0)
    The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth ... もっと見る

    6,685 円

  • Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

    編集 Hemen Dutta, Ljubiša D. R. Kočinac, Hari M. Srivastava ...
    シリーズ series Mathematics and Statistics (R0)
    This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, ... もっと見る

    14,585 円

  • Theory of Linear Operations

    − S. Banach ...
    シリーズ 本: 38 - North-Holland Mathematical Library
    This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, ... もっと見る

    7,714 円

  • Stochastic Evolution Systems

    Linear Theory and Applications to Non-Linear Filtering

    − Boris L. Rozovsky, Sergey V. Lototsky ...
    シリーズ 本: 89 - Probability Theory and Stochastic Modelling
    This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems. The authors further explore applications to the theory of optimal ... もっと見る

    10,331 円

  • Differential Geometry and Riemannian Manifolds

    − Friedrich Sauvigny ...
    This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the ... もっと見る

    6,978 円

  • Non-Archimedean Operator Theory

    − Toka Diagana, François Ramaroson ...
    シリーズ series Mathematics and Statistics (R0)
    This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized ... もっと見る

    6,076 円

  • Wave Packet Analysis of Feynman Path Integrals

    − Fabio Nicola, S. Ivan Trapasso ...
    シリーズ series Mathematics and Statistics (R0)
    The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this ... もっと見る

    7,900 円

  • Convergence of One-Parameter Operator Semigroups

    In Models of Mathematical Biology and Elsewhere

    − Adam Bobrowski ...
    シリーズ 本: 30 - New Mathematical Monographs
    This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications ... もっと見る

    28,092 円

  • Advances in Summability and Approximation Theory

    編集 S. A. Mohiuddine, Tuncer Acar ...
    シリーズ series Mathematics and Statistics (R0)
    This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is ... もっと見る

    6,076 円

  • Lecture Notes in Real Analysis

    − Xiaochang Wang ...
    シリーズ series Compact Textbooks in Mathematics
    This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation. Illustrations, examples, and exercises are included that present Lebesgue ... もっと見る

    6,076 円

  • Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable

    − Niels Jacob, Kristian P Evans ...

    7,722 円

  • Exercises in Analysis

    Part 1

    − Nikolaos S. Papageorgiou, Leszek Gasińksi ...
    シリーズ 本: 1 - Mathematics and Statistics (R0)
    Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed ... もっと見る

    13,369 円

  • Operator Theory and Analysis of Infinite Networks

    Theory and Applications

    − Palle E T Jorgensen, Erin P J Pearse ...
    シリーズ 本: 7 - Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes
    This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social ... もっと見る

    8,612 円

  • Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II

    Applications

    − Atsushi Yagi ...
    シリーズ series Mathematics and Statistics (R0)
    This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Łojasiewicz–Simon gradient inequality. In the first volume of the same title, after setting the abstract frameworks of arguments, a general convergence theorem was proved under the four ... もっと見る

    7,900 円