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関数解析 電子書籍

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  • 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

  • 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

    2,994 円

  • Classical And Modern Optimization

    シリーズ series Advanced Textbooks In Mathematics
    The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning.Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to ... もっと見る

    5,539 円

  • Bloch-Type Periodic Functions

    Theory and Applications to Evolution Equations

    シリーズ 本: 22 - Series on Concrete and Applicable Mathematics
    This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering ... もっと見る

    7,037 円

  • Topics And Methods In Q-series

    シリーズ 本: 8 - Monographs In Number Theory
    The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heine's transformation, the Jacobi triple product identity, ... もっと見る

    7,179 円

  • Lectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University

    This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of ... もっと見る

    10,461 円

  • Sequential Introduction To Real Analysis, A

    シリーズ series Essential Textbooks In Mathematics
    Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. ... もっと見る

    3,077 円

  • Uniform Spaces and Measures

    Jan Pachl ...
    シリーズ 本: 30 - Fields Institute Monographs
    This book addresses the need for an accessible comprehensive exposition of the theory of uniform measures; the need that became more critical when recently uniform measures reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have been scattered through many papers written by a number of authors, some unpublished, written using a variety of definitions ... もっと見る

    12,154 円

  • Modern Topics in Metrical Fixed Point Theory

    Mihai Turinici ...
    Metrical Fixed Point Theory, originating from the 1922 Banach Fixed Point Theorem, is one of the most dynamic areas within Operator Equations Theory. This book aims to discuss the foundational aspects of this theory, focusing on questions of existence, uniqueness, and approximation in operator equations — whether explicit or implicit, anticipative or non-anticipative — across standard, ordered, ... もっと見る

    19,089 円

  • Fixed Point Theory in p-Vector Spaces

    This monograph provides an updated development of fixed point theory under a unified framework of the 'best approximation approach' in p-vector spaces, a core component of nonlinear analysis in mathematics, where p∊(0,1] (the same for p below unless specified). This book exposes some important contents of the new fixed point theory, with highlights in four parts.Specifically, the book focuses on ... もっと見る

    11,902 円

  • A Mathematical Journey to Quantum Mechanics

    シリーズ series Physics and Astronomy (R0)
    This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined.The material covers topics such as analytic mechanics in Newtonian, Lagrangian, ... もっと見る

    7,292 円

  • Toeplitz Operators on Kähler Manifolds

    Examples

    Tatyana Barron ...
    シリーズ series Mathematics and Statistics (R0)
    The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators on Kähler manifolds, via examples, worked out carefully and in detail. Necessary background is included. Several theorems on asymptotics of Toeplitz operators are reviewed and illustrated by examples, including the case of tori and the 2-dimensional sphere. Applications in the context of ... もっと見る

    6,076 円

  • Carleman Inequalities

    An Introduction and More

    Nicolas Lerner ...
    シリーズ series Mathematics and Statistics (R0)
    Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation.Beginning with an elementary introduction to the ... もっと見る

    17,016 円

  • Nonlinear Vibrations and the Wave Equation

    Alain Haraux ...
    シリーズ series Mathematics and Statistics (R0)
    This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field. ... もっと見る

    6,076 円

  • New Trends in Parameter Identification for Mathematical Models

    シリーズ series Mathematics and Statistics (R0)
    The Proceedings volume contains 16 contributions to the IMPA conference “New Trends in Parameter Identification for Mathematical Models”, Rio de Janeiro, Oct 30 – Nov 3, 2017, integrating the “Chemnitz Symposium on Inverse Problems on Tour”. This conference is part of the “Thematic Program on Parameter Identification in Mathematical Models” organized at IMPA in October and November 2017. One goal ... もっと見る

    14,585 円

  • Geometric Aspects of Functional Analysis

    Israel Seminar (GAFA) 2014–2016

    シリーズ series Mathematics and Statistics (R0)
    As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are ... もっと見る

    8,507 円

  • An Introduction to KMS Weights

    シリーズ series Mathematics and Statistics (R0)
    This book provides an introduction to the theory of KMS weights and KMS states, which play an important role in mathematical physics and other applications of operator algebras. Leading from the definitions to some of the most recent research results, it covers advanced topics such as the Laca-Neshveyev theorem, elements of the modular theory of von Neumann algebras, the geometry of the set of KMS ... もっと見る

    9,116 円

  • Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations

    Representation-theoretical Viewpoint for Quantum Phenomena

    Asao Arai ...
    シリーズ series Mathematics and Statistics (R0)
    Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more ... もっと見る

    17,016 円

  • Metric Modular Spaces

    シリーズ series Mathematics and Statistics (R0)
    Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the ... もっと見る

    6,076 円

  • Exploring Mathematical Analysis, Approximation Theory, and Optimization

    270 Years Since A.-M. Legendre’s Birth

    シリーズ series Mathematics and Statistics (R0)
    This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it ... もっと見る

    15,800 円

  • Mathematical Theory of Compressible Viscous Fluids

    Analysis and Numerics

    シリーズ series Mathematics and Statistics (R0)
    This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct ... もっと見る

    12,154 円

  • A Primer on Hilbert Space Theory

    Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

    シリーズ series Physics and Astronomy (R0)
    This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high ... もっと見る

    7,292 円

  • Pseudo-Differential Operators and Related Topics

    Extended Abstracts PSORT 2024

    シリーズ series Springer Nature Proceedings excluding Computer Science
    The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics. The results collected here were presented at the Pseudo-Differential Operators and Related Topics (PSORT) 2024 Conference at Ghent University, Belgium, and cover a wide range of topics in pseudo-differential operators, microlocal analysis, time-frequency analysis, and ... もっと見る

    24,309 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