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Additive Number Theory The Classical Bases
The purpose of this book is to describe the classical problems in additive number theory, and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial … mehr »
geschrieben von Melvyn B. Nathanson (Autor)
Additive Number Theory: Density Theorems and the Growth of Sumsets
A central problem in additive number theory is the growth of sumsets. If A is a finite or infinite subset of the integers and the lattice points, or more generally, of any abelian group or semigroup … mehr »
geschrieben von Melvyn B. Nathanson (Autor)
Additive Number Theory: Inverse Problems and the Geometry of Sumsets
Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA … mehr »
geschrieben von Melvyn B. Nathanson (Autor)
Elementary Methods in Number Theory
Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and … mehr »
geschrieben von Melvyn B. Nathanson (Autor)
This is the third Lecture Notes volume to be produced in the framework of the New York … mehr »
geschrieben von David V. Chudnovsky (Herausgeber) und Gregory V. Chudnovsky (Herausgeber) und Harvey Cohn (Herausgeber) und Melvyn B. Nathanson (Herausgeber)
The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this … mehr »
geschrieben von David V. Chudnovsky (Herausgeber) und Gregory V. Chudnovsky (Herausgeber) und Harvey Cohn (Herausgeber) und Melvyn B. Nathanson (Herausgeber)
A collection of problems and solutions in real analysis based on the major textbook, "Principles of Real Analysis" (also by Aliprantis and Burkinshaw), "Problems in Real Analysis" is the ideal …
Fundamentals of Real Analysis Topology and Continuity The Theory of Measure The Lebesgue …
The Foundations of Set Theory. Infinitary Combinatorics. The Well-Founded Sets. Easy Consistency Proofs. Defining Definability. The Constructible Sets. Forcing. Iterated Forcing. Bibliography. …
This is the first book presenting cardinality theory of fuzzy sets with triangular norms, including its scalar and "fuzzy" streams. This theory constitutes not only a powerful basis but also a useful …
Triangular Operations and Negations * Fuzzy Sets * Scalar Cardinalities of …
The main goal of this book is to demonstrate the usefulness of set-theoretical methods in various questions of real analysis and classical measure theory. In this context, many statements and facts …
1. Set-Valued Mappings. 2. Nonmeasurable Sets and Sets without the Baire Property. 3. Three Aspects of the Measure Extension Problem. 4. Some Properties of -algebras and -ideals. 5. Nonmeasurable …
Aus den Rezensionen: "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer …
Prof. Dr. Norbert Henze und Prof. Dr. Günter Last forschen und lehren an der …
Differentialrechnung im IR^n - Integralrechnung im IR^n - Determinanten - Normierte Räume - Eigenwerte und Eigenräume - Hilberträume und Lebesguesches Integral - Fourieranalyse - …
Differentialrechnung im IR^n - Integralrechnung im IR^n - Determinanten - Normierte Räume - Eigenwerte und Eigenräume - Hilberträume und Lebesguesches Integral - Fourieranalyse - …
Eine integrierte Einführung in die Mathematik, die vom Konkreten zum Allgemeinen aufsteigt, auf Schubladen wie "Lineare Algebra'' und "Analysis'' verzichtet und die (fast) alle Beweise …
Congestion control algorithms were implemented for the Internet nearly two decades ago, but mathematical models of congestion control in such a large-scale network are relatively new. This text …
Preface.- Introduction.- Resource Allocation.- Congestion Control: A Decentralized Solution.- Relationship to Current Internet Protocols.- Linear Analysis with Delay: The single link Case.- Linear …
Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in …
Preface to the Second Edition.- Preface to the First Edition.- Acknowledgments.- Elementary Number Theory.- Euclidean Rings.- Algebraic Numbers and Integers.- Integral Bases.- Dedekind Domains.- The …
The bulk of this volume consists of six sets of notes for lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and the early 1930s. The notes …
Introduction.- Hilbert's Lectures on Principles of Mathematics from 1917-18.- Hilbert's Lectures on the Logical Calculus from 1920.- Chapter 3: Hilbert's Lectures on Problems of Mathematical Logic …
Jouko Vaananen is Professor of Mathematics at …
Dependence is a common phenomenon, wherever one looks: ecological systems, astronomy, human history, stock markets - but what is the logic of dependence? This book is the first to carry out a …
Preface; 1. Introduction; 2. Preliminaries; 3. Dependence logic; 4. Examples; 5. Game theoretic semantics; 6. Model Theory; 7. Complexity; 8. Team logic; 9. Solutions to selected exercises by Ville …
Dependence is a common phenomenon, wherever one looks: ecological systems, astronomy, human history, stock markets - but what is the logic of dependence? This book is the first to carry out a …
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