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関数解析 電子書籍

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  • 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 The author, a leading authority on the subject, sets out numerous results previously unpublished in book form.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

  • The Scottish Book

    Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book

    編集 R. Daniel Mauldin ...
    シリーズ series Mathematics and Statistics (R0)
    The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as ... もっと見る

    17,016 円

  • A Course in the Calculus of Variations

    Optimization, Regularity, and Modeling

    シリーズ series Mathematics and Statistics (R0)
    This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mathematical complexities they present.Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical questions such as the existence and uniqueness of solutions, their characterization in terms of ... もっと見る

    6,685 円

  • Geometric Aspects of General Topology

    Katsuro Sakai ...
    シリーズ series Mathematics and Statistics (R0)
    This book is designed for graduate students to acquire knowledge of simplicial complexes, Dimension Theory, ANR Theory (Theory of Retracts), and related topics. These theories are connected with various fields in Geometric Topology, Algebraic Topology as well as General Topology. Except for the second half of the last chapter, this book is entirely self-contained. To make the ideas of proofs easier ... もっと見る

    24,309 円

  • An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space

    シリーズ series Mathematics and Statistics (R0)
    This textbook provides an introduction to representations of general ∗-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers.The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations of important special ... もっと見る

    5,712 円

  • Semigroups, Algebras and Operator Theory

    Kochi, India, February 2014

    シリーズ series Springer Nature Proceedings excluding Computer Science
    This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory. All contributing authors are eminent researchers in their respective fields, from across the world. Their papers, presented at the 2014 International Conference on Semigroups, Algebras and Operator Theory in Cochin, India, focus on recent ... もっと見る

    12,154 円

  • Mathematical Physics and Its Interactions

    In Honor of the 60th Birthday of Tohru Ozawa, Tokyo, Japan, August 2021

    編集 Shuji Machihara ...
    シリーズ series Springer Nature Proceedings excluding Computer Science
    This publication comprises research papers contributed by the speakers, primarily based on their planned talks at the meeting titled 'Mathematical Physics and Its Interactions,' initially scheduled for the summer of 2021 in Tokyo, Japan. It celebrates Tohru Ozawa's 60th birthday and his extensive contributions in many fields.The works gathered in this volume explore interactions between ... もっと見る

    24,309 円

  • Extended Abstracts Fall 2019

    Spaces of Analytic Functions: Approximation, Interpolation, Sampling

    シリーズ series Springer Nature Proceedings excluding Computer Science
    This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their ... もっと見る

    14,585 円

  • Fractal Analysis: Basic Concepts And Applications

    シリーズ 本: 91 - Series On Advances In Mathematics For Applied Sciences
    The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according ... もっと見る

    5,792 円

  • Esercizi svolti di Analisi Reale e Funzionale

    Il presente volume è una raccolta organica di esercizi svolti di Analisi Reale e Funzionale. Le soluzioni sono esposte in dettaglio, con connessioni alla teoria. L’opera è indirizzata principalmente a studenti di Matematica, Fisica e Ingegneria, che affrontano argomenti di teoria della misura e di analisi funzionale in corsi avanzati di Analisi Matematica.Il libro è suddiviso nei seguenti capitoli ... もっと見る

    6,034 円

  • Measure of Noncompactness, Fixed Point Theorems, and Applications

    The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied ... もっと見る

    13,625 円

  • Elementary Introduction to the Lebesgue Integral

    シリーズ series Textbooks in Mathematics
    Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of its important properties with respect to limits. For this reason, it is vital that mathematical ... もっと見る

    17,293 円

  • A First Course in Functional Analysis

    Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a ... もっと見る

    12,926 円

  • Stochastic Analysis for Gaussian Random Processes and Fields

    With Applications

    シリーズ series Chapman & Hall/CRC Monographs on Statistics and Applied Probability
    Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).The book begins with preliminary results on covariance and associated RKHS ... もっと見る

    12,403 円

  • Introduction to Functional Equations

    Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as p ... もっと見る

    19,390 円

  • Isometries on Banach Spaces

    function spaces

    シリーズ series Monographs and Surveys in Pure and Applied Mathematics
    Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric ... もっと見る

    16,595 円

  • Lineability

    The Search for Linearity in Mathematics

    シリーズ series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for ... もっと見る

    14,848 円

  • Banach Limit and Applications

    Banach Limit and Applications provides all the results in the area of Banach Limit, its extensions, generalizations, and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in 1932, were scattered till now.Sublinear functionals generating and dominating Banach Limit, unique Banach Limit (almost convergence), invariant ... もっと見る

    13,625 円

  • Hypersingular Integrals and Their Applications

    Stefan Samko ...
    シリーズ series Analytical Methods and Special Functions
    Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before ... もっと見る

    56,778 円