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  • Stochastic Differential Equations

    Stochastic Differential Equations
    av Bernt Oksendal

    Häftad - 2003 - Engelska - ISBN: 9783540047582

    This edition contains detailed solutions of selected exercises. Many readers have requested this, because it makes the book more suitable for self-study. At the same time new exercises (without solutions) have beed added. They have all been placed i…

  • An Introduction to Homological Algebra

    An Introduction to Homological Algebra
    av Joseph J. Rotman

    Häftad - 2008 - Engelska - ISBN: 9780387245270

    Graduate mathematics students will find this book an easy-to-follow, step-by-step guide to the subject. Rotman's book gives a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this new ed…

  • The Calculus of Variations

    The Calculus of Variations
    av Bruce van Brunt

    Inbunden - 2003 - Engelska - ISBN: 9780387402475

    Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced to…

  • Stochastic Modeling

    Stochastic Modeling
    av Nicolas Lanchier

    Häftad - 2017 - Engelska - ISBN: 9783319500379

    Three coherent parts form the material covered in this text, portions of which have not been widely covered in traditional textbooks. In this coverage the reader is quickly introduced to several different topics enriched with 175 exercises which foc…

  • Probability Theory and Stochastic Processes

    Probability Theory and Stochastic Processes
    av Pierre Bremaud

    Häftad - 2020 - Engelska - ISBN: 9783030401825

    The ultimate objective of this book is to present a panoramic view of the main stochastic processes which have an impact on applications, with complete proofs and exercises. Random processes play a central role in the applied sciences, including ope…

  • Principal Bundles

    Principal Bundles
    av Stephen Bruce Sontz

    Häftad - 2015 - Engelska - ISBN: 9783319158280

    This introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry. To make for a m…

  • Number Fields

    Number Fields
    av Daniel A. Marcus

    Häftad - 2018 - Engelska - ISBN: 9783319902326

    Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important p…

  • A Concise Introduction to Mathematical Logic

    A Concise Introduction to Mathematical Logic
    av Wolfgang Rautenberg

    Häftad - 2009 - Engelska - ISBN: 9781441912206

    by Lev Beklemishev, Moscow The ?eld of mathematical logic-evolving around the notions of logical validity, provability, and computation-was created in the ?rst half of the previous century by a cohort of brilliant mathematicians and philosophers suc…

  • Geometric Group Theory

    Geometric Group Theory
    av Clara Loeh

    Häftad - 2018 - Engelska - ISBN: 9783319722535

    Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapid…

  • Algebraic Geometry over the Complex Numbers

    Algebraic Geometry over the Complex Numbers
    av Donu Arapura

    Häftad - 2012 - Engelska - ISBN: 9781461418085

    This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebr…

  • Spectra of Graphs

    Spectra of Graphs
    av Andries E. Brouwer

    Inbunden - 2011 - Engelska - ISBN: 9781461419389

    This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, stron…

  • Power Series from a Computational Point of View

    Power Series from a Computational Point of View
    av Kennan T. Smith

    Häftad - 1987 - Engelska - ISBN: 9780387965161

    At the end of the typical one quarter course on power series the students lack the means to decide 2 whether 1/(1+x ) has an expansion around any point ~ 0, or the tangent has an expansion anywhere and the means to evaluate and predict errors. In us…

  • Mathematical Modeling for the Life Sciences

    Mathematical Modeling for the Life Sciences
    av Jacques Istas

    Häftad - 2005 - Engelska - ISBN: 9783540253051

    Provides a wide range of mathematical models currently used in the life sciencesEach model is thoroughly explained and illustrated by exampleIncludes three appendices to allow for independent reading

  • A Course in Constructive Algebra

    A Course in Constructive Algebra
    av Ray Mines

    Häftad - 1987 - Engelska - ISBN: 9780387966403

    The constructive approach to mathematics has enjoyed a renaissance, caused in large part by the appearance of Errett Bishop's book Foundations of constr"uctiue analysis in 1967, and by the subtle influences of the proliferation of powerful computers…

  • A Short Course in Ordinary Differential Equations

    A Short Course in Ordinary Differential Equations
    av Qingkai Kong

    Inbunden - 2014 - Engelska - ISBN: 9783319112381

    This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers c…

  • Normal Families

    Normal Families
    av Joel L. Schiff

    Häftad - 1993 - Engelska - ISBN: 9780387979670

    A book on the subject of normal families more than sixty years after the publication of Montel's treatise Ler;ons sur les familles normales de fonc tions analytiques et leurs applications is certainly long overdue. But, in a sense, it is almost prem…

  • Hyperplane Arrangements

    Hyperplane Arrangements
    av Alexandru Dimca

    Häftad - 2017 - Engelska - ISBN: 9783319562209

    This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and…

  • Lineare Funktionalanalysis

    Lineare Funktionalanalysis
    av Hans Wilhelm Alt, Robert Nürnberg, Hans Wilhelm Alt

    Pocket - 2016 - Engelska - ISBN: 9781447172796

    This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is se…

  • Advanced Analysis

    Advanced Analysis
    av R. Kannan

    Häftad - 1996 - Engelska - ISBN: 9780387946429

    - < f is increasing. The latter part of the book deals with functions of bounded variation and approximately continuous functions. Finally there is an exhaustive chapter on the generalized Cantor sets and Cantor functions. The bibliography is extens…

  • A Fixed-Point Farrago

    A Fixed-Point Farrago
    av Joel H. Shapiro

    Inbunden - 2016 - Engelska - ISBN: 9783319279763

    This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of…

  • An Invitation to Morse Theory

    An Invitation to Morse Theory
    av Liviu Nicolaescu

    Häftad - 2011 - Engelska - ISBN: 9781461411048

    This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also be of interest to researchers. This is the first textbook to include topics such as Mors…

  • Hypergeometric Summation

    Hypergeometric Summation
    av Wolfram Koepf

    Häftad - 2014 - Engelska - ISBN: 9781447164630

    Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple (TM).The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovsek and van Hoeij…

  • Topology and Analysis

    Topology and Analysis

    Häftad - 1989 - Engelska - ISBN: 9780387961125

    The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readi ness for extra-mathematical applicatio…

  • Heights of Polynomials and Entropy in Algebraic Dynamics

    Heights of Polynomials and Entropy in Algebraic Dynamics
    av Graham Everest

    Häftad - 2010 - Engelska - ISBN: 9781849968546

    The main theme of this book is the theory of heights as they appear in various guises. This includes a large body of results on Mahlers measure of the height of a polynomial. The authors'approach is very down to earth as they cover the rationals, as…

  • Matrix Groups

    Matrix Groups
    av M. L. Curtis

    Häftad - 1984 - Engelska - ISBN: 9780387960746

    These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977. It is assumed that the students know some linear algebra and a little about differentiation of vect…

  • Distributions, Partial Differential Equations, and Harmonic Analysis

    Distributions, Partial Differential Equations, and Harmonic Analysis
    av Dorina Mitrea

    Häftad - 2019 - Engelska - ISBN: 9783030032951

    The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a f…

  • Surfaces in Classical Geometries

    Surfaces in Classical Geometries
    av Gary R. Jensen

    Häftad - 2016 - Engelska - ISBN: 9783319270746

    Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry. The method of moving frames, a natural means…

  • Probability Theory

    Probability Theory
    av Alexandr A. Borovkov

    Häftad - 2013 - Engelska - ISBN: 9781447152002

    This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and…

  • From Elementary Probability to Stochastic Differential Equations with MAPLE (R)

    From Elementary Probability to Stochastic Differential Equations with MAPLE (R)
    av Sasha Cyganowski

    Häftad - 2001 - Engelska - ISBN: 9783540426660

    This is an introduction to probabilistic and statistical concepts necessary to understand the basic ideas and methods of stochastic differential equations. Based on measure theory, which is introduced as smoothly as possible, it provides practical s…

  • An Introductory Course in Functional Analysis

    An Introductory Course in Functional Analysis
    av Adam Bowers

    Häftad - 2014 - Engelska - ISBN: 9781493919444

    Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are…

  • Linear Programming Duality

    Linear Programming Duality
    av Achim Bachem

    Häftad - 1992 - Engelska - ISBN: 9783540554172

    The main theorem of Linear Programming Duality, relating a "pri- mal" Linear Programming problem to its "dual" and vice versa, can be seen as a statement about sign patterns of vectors in complemen- tary subspaces of Rn. This observation, first made…

  • Fundamentals of Hopf Algebras

    Fundamentals of Hopf Algebras
    av Robert G. Underwood

    Häftad - 2015 - Engelska - ISBN: 9783319189901

    This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Ho…

  • Catalan's Conjecture

    Catalan's Conjecture
    av Rene Schoof

    Häftad - 2008 - Engelska - ISBN: 9781848001848

    Eugene Charles Catalan made his famous conjecture - that 8 and 9 are the only two consecutive perfect powers of natural numbers - in 1844 in a letter to the editor of Crelle's mathematical journal. One hundred and fifty-eight years later, Preda Miha…

  • Class Field Theory

    Class Field Theory
    av Nancy Childress

    Häftad - 2007 - Engelska - ISBN: 9780387724898

    Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides an accessible introduction to class field theory. It takes a traditional approach in that it…

  • Option Theory with Stochastic Analysis

    Option Theory with Stochastic Analysis
    av Fred Espen Benth

    Häftad - 2003 - Engelska - ISBN: 9783540405023

    This is a very basic and accessible introduction to option pricing, invoking a minimum of stochastic analysis and requiring only basic mathematical skills. It covers the theory essential to the statistical modeling of stocks, pricing of derivatives…

  • Complex Analysis

    Complex Analysis
    av Eberhard Freitag

    Häftad - 2011 - Engelska - ISBN: 9783642205538

    The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be…

  • Introduction to Stochastic Finance

    Introduction to Stochastic Finance
    av Jia-An Yan

    Häftad - 2018 - Engelska - ISBN: 9789811316562

    This book gives a systematic introduction to the basic theory of financial mathematics, with an emphasis on applications of martingale methods in pricing and hedging of contingent claims, interest rate term structure models, and expected utility max…

  • Ordinary Differential Equations

    Ordinary Differential Equations

    Häftad - 2006 - Engelska - ISBN: 9783540345633

    Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From…

  • Differential Forms and Applications

    Differential Forms and Applications
    av Manfredo P. Do Carmo

    Häftad - 1994 - Engelska - ISBN: 9783540576181

    An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and ele…

  • Monomial Ideals and Their Decompositions

    Monomial Ideals and Their Decompositions
    av W. Frank Moore

    Häftad - 2018 - Engelska - ISBN: 9783319968742

    This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological…

  • Approximation Methods in Probability Theory

    Approximation Methods in Probability Theory
    av Vydas Cekanavicius

    Häftad - 2016 - Engelska - ISBN: 9783319340715

    This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangl…

  • The Mathematics of Networks of Linear Systems

    The Mathematics of Networks of Linear Systems
    av Paul A. Fuhrmann

    Häftad - 2015 - Engelska - ISBN: 9783319166452

    This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as…

  • Abstract Algebra and Famous Impossibilities

    Abstract Algebra and Famous Impossibilities
    av Arthur Jones

    Häftad - 1991 - Engelska - ISBN: 9780387976617

    The famous problems of squaring the circle, doubling the cube and trisecting an angle captured the imagination of both professional and amateur mathematicians for over two thousand years. Despite the enormous effort and ingenious attempts by these m…

  • Heights of Polynomials and Entropy in Algebraic Dynamics

    Heights of Polynomials and Entropy in Algebraic Dynamics
    av Graham Everest

    Inbunden - 1999 - Engelska - ISBN: 9781852331252

    The main theme of this book is the theory of heights as they appear in various guises. This includes a large body of results on Mahlers measure of the height of a polynomial. The authors'approach is very down to earth as they cover the rationals, as…

  • The Analysis and Geometry of Hardy's Inequality

    The Analysis and Geometry of Hardy's Inequality
    av Alexander A. Balinsky

    Häftad - 2015 - Engelska - ISBN: 9783319228693

    This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable to…

  • Nevanlinna Theory, Normal Families, and Algebraic Differential Equations

    Nevanlinna Theory, Normal Families, and Algebraic Differential Equations
    av Norbert Steinmetz

    Häftad - 2017 - Engelska - ISBN: 9783319597997

    This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. Following a comprehensive treatment of Nevanlinna'…

  • Bieberbach Groups and Flat Manifolds

    Bieberbach Groups and Flat Manifolds
    av Leonard S. Charlap

    Häftad - 1986 - Engelska - ISBN: 9780387963952

    Many mathematics books suffer from schizophrenia, and this is yet another. On the one hand it tries to be a reference for the basic results on flat riemannian manifolds. On the other hand it attempts to be a textbook which can be used for a second y…

  • Algebraic Topology from a Homotopical Viewpoint

    Algebraic Topology from a Homotopical Viewpoint
    av Marcelo Aguilar

    Häftad - 2011 - Engelska - ISBN: 9781441930057

    The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly l…

  • Modern Geometry with Applications

    Modern Geometry with Applications
    av George A. Jennings

    Häftad - 1997 - Engelska - ISBN: 9780387942223

    This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas o…

  • Introduction to the Mori Program

    Introduction to the Mori Program
    av Kenji Matsuki

    Häftad - 2010 - Engelska - ISBN: 9781441931252

    Mori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of higher dimensional algebraic varieties. The author presents this theory in an easy and understandable w…