Universitext – serie
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424 produkter
(Mostly) Commutative Algebra
Häftad, 2021
603 kr
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This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics …
Probability Theory
A Comprehensive Course
Av Achim Klenke
Häftad, 2020
767 kr
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This popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.Probability plays an increasingly important role not only in mathematics, but also in physics, biology, finance and computer science, helping to understand phenomena such …
Cohomology of Sheaves
Häftad, 1986
1202 kr
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This text exposes the basic features of cohomology of sheaves and its applications. The general theory of sheaves is very limited and no essential result is obtainable without turn ing to particular classes of topological spaces. The most satis factory general class is that of locally compact …
Functional Analysis
An Introductory Course
Häftad, 2018
659 kr
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This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each …
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Av Haim Brezis
Häftad, 2010
767 kr
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This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main …
Stochastic Differential Equations
An Introduction with Applications
Häftad, 2003
703 kr
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An introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to …
Spectral and Scattering Theory for Ordinary Differential Equations
Vol. I: Sturm–Liouville Equations
Av Christer Bennewitz, Malcolm Brown m. fl.
Häftad, 2020
487 kr
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This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations.Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and …
Calculus of Variations
Häftad, 2010
659 kr
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The calculus of variations has a long history of interaction with other branches of mathematics such as geometry and differential equations, and with physics, particularly mechanics. More recently, the calculus of variations has found applications in other fields such as economics and electrical …
Knots and Primes
An Introduction to Arithmetic Topology
Häftad, 2024
604 kr
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This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields. Arithmetic topology is now becoming a powerful guiding principle and driving force to obtain parallel …
Introduction to Nonlinear Dispersive Equations
Av Felipe Linares, Gustavo Ponce
Häftad, 2014
520 kr
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This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background …
Course on Rough Paths
With an Introduction to Regularity Structures
Av Peter K. Friz, Martin Hairer
Häftad, 2020
659 kr
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With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most …
Vector Analysis Versus Vector Calculus
Av Antonio Galbis, Manuel Maestre
Häftad, 2012
878 kr
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The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this …
Dynamic Optimization
Deterministic and Stochastic Models
Av Karl Hinderer, Ulrich Rieder m. fl.
Häftad, 2017
1202 kr
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This book explores discrete-time dynamic optimization and provides a detailed introduction to both deterministic and stochastic models. Covering problems with finite and infinite horizon, as well as Markov renewal programs, Bayesian control models and partially observable processes, the book …
Geometry
Häftad, 2002
767 kr
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Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michèle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, …
Introduction to Manifolds
Av Loring W. Tu
Häftad, 2027
675 kr
Kommande
Smooth manifolds—the higher-dimensional analogues of smooth curves and surfaces—are fundamental objects in modern mathematics. Drawing on algebra, topology, and analysis, they also play key roles in classical mechanics, general relativity, quantum field theory, and data analysis.This streamlined …
Modern Analysis and Topology
Häftad, 1995
550 kr
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The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should …
Invitation to Fourier Analysis and Distribution Theory
Häftad, 2026
497 kr
Kommande
This book provides a rigorous introduction to Fourier analysis and the theory of distributions without presupposing an advanced background in functional analysis or measure-theoretic integration.The guiding principle throughout is to present the material in an elementary and direct manner without …
Riemannian Geometry and Geometric Analysis
Av Jürgen Jost
Häftad, 2027
826 kr
Kommande
Riemannian geometry and geometric analysis are flourishing fields with applications in physics, statistics, and machine learning. This textbook develops both fundamental concepts and more advanced topics shaped by recent progress. The 8th edition expands coverage with a systematic treatment of …
Introduction to Manifolds
Av Loring W. Tu
Häftad, 2010
607 kr
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Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.In this streamlined …
Mathematical Analysis I
Av V. A. Zorich
Inbunden, 2016
822 kr
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This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially …
First Course in Discrete Dynamical Systems
Häftad, 1996
822 kr
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Discrete dynamical systems are essentially iterated functions. Given the ease with which computers can do iteration, it is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets …
Logic and Structure
Häftad, 2012
824 kr
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Dirk van Dalen’s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read …
Differential Forms and Applications
Häftad, 1994
713 kr
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This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Differential Geome try, ICTP, Trieste, 1989. In the English translation we omitted a chapter on the Frobenius theorem and an appendix on the nonexistence of …
Galois Theory
Häftad, 2008
822 kr
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This is a textbook on Galois theory. Galois theory has a well-deserved re- tation as one of the most beautiful subjects in mathematics. I was seduced by its beauty into writing this book. I hope you will be seduced by its beauty in reading it. This book begins at the beginning. Indeed (and perhaps …
Mathematical Analysis II
Av V. A. Zorich
Inbunden, 2016
984 kr
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This secondEnglish edition of a very popular two-volume work presents a thorough firstcourse in analysis, leading from real numbers to such advanced topics asdifferential forms on manifolds; asymptotic methods; Fourier, Laplace, andLegendre transforms; elliptic functions; and distributions. …
Pillars of Computation Theory
State, Encoding, Nondeterminism
Häftad, 2009
566 kr
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The abstract branch of theoretical computer science known as Computation Theory typically appears in undergraduate academic curricula in a form that obscures both the mathematical concepts that are central to the various components of the theory and the relevance of the theory to the typical …
First Course in Harmonic Analysis
Häftad, 2005
822 kr
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The second part of the book concludes with Plancherel’s theorem in Chapter 8. This theorem is a generalization of the completeness of the Fourier series, as well as of Plancherel’s theorem for the real line. The third part of the book is intended to provide the reader with a ?rst impression of the …
Introduction to Homological Algebra
Häftad, 2008
767 kr
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Homological Algebra has grown in the nearly three decades since the rst e- tion of this book appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to Homological Algebra, 1994, and Gelfand– Manin, Methods of Homological Algebra, 2003. In their Foreword, Gelfand and …
Taste of Topology
Av Volker Runde
Häftad, 2005
659 kr
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If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language.The present book …
Lie Groups
An Approach through Invariants and Representations
Häftad, 2006
876 kr
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Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduction to a wide …
