Alexander Prestel – författare

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17 produkter

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17 produkter

Del 123 - Graduate Texts in Mathematics
Numbers
AvHeinz-Dieter Ebbinghaus,Hans Hermesm. fl.
Häftad, Engelska, 1990
882 kr
Skickas inom 5-8 vardagar
A book about numbers sounds rather dull. This one is not. Instead it is a lively story about one thread of mathematics-the concept of "number" told by eight authors and organized into a historical narrative that leads the reader from ancient Egypt to the late twentieth century. It is a story that begins with some of the simplest ideas of mathematics and ends with some of the most complex. It is a story that mathematicians, both amateur and professional, ought to know. Why write about numbers? Mathematicians have always found it diffi cult to develop broad perspective about their subject. While we each view our specialty as having roots in the past, and sometimes having connec tions to other specialties in the present, we seldom see the panorama of mathematical development over thousands of years. Numbers attempts to give that broad perspective, from hieroglyphs to K-theory, from Dedekind cuts to nonstandard analysis.
Mathematical Logic and Model Theory
A Brief Introduction
AvAlexander Prestel,Charles N. Delzell
Häftad, Engelska, 2011
787 kr
Skickas inom 10-15 vardagar
Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra.As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen's work on Artin's conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differ quite significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic. Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4).This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study.
Mathematical Logic and Model Theory
A Brief Introduction
AvCharles N. Delzell,Alexander Prestel
E-bok
PDF, Engelska, 2011
877 kr
Läs direkt efter köp
Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra.As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen''s work on Artin''s conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differ quite significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic. Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4).This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study.
Numbers
AvReinhold Remmert,Alexander Prestelm. fl.
E-bok
PDF, Engelska, 2012
1 037 kr
Läs direkt efter köp
A book about numbers sounds rather dull. This one is not. Instead it is a lively story about one thread of mathematics-the concept of "number" told by eight authors and organized into a historical narrative that leads the reader from ancient Egypt to the late twentieth century. It is a story that begins with some of the simplest ideas of mathematics and ends with some of the most complex. It is a story that mathematicians, both amateur and professional, ought to know. Why write about numbers? Mathematicians have always found it diffi cult to develop broad perspective about their subject. While we each view our specialty as having roots in the past, and sometimes having connec tions to other specialties in the present, we seldom see the panorama of mathematical development over thousands of years. Numbers attempts to give that broad perspective, from hieroglyphs to K-theory, from Dedekind cuts to nonstandard analysis.
Mengenlehre für den Mathematiker
AvAlexander Prestel,Ulf Friedrichsdorf
E-bok
PDF, Tyska, 2013
510 kr
Läs direkt efter köp
Mengenlehre für den Mathematiker
AvUlf Friedrichsdorf,Alexander Prestel
Häftad, Tyska, 1985
528 kr
Skickas inom 10-15 vardagar
Del 60 - vieweg studium; Aufbaukurs Mathematik
Einführung in die Mathematische Logik und Modelltheorie
AvAlexander Prestel
Häftad, Tyska, 1986
476 kr
Skickas inom 10-15 vardagar
Valued Fields
AvAntonio J. Engler,Alexander Prestel
Inbunden, Engelska, 2005
1 568 kr
Skickas inom 10-15 vardagar
Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization.In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.
Valued Fields
AvAlexander Prestel,Antonio J. Engler
E-bok
PDF, Engelska, 2005
1 906 kr
Läs direkt efter köp
Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krull''s generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization.
In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artin''s Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.
Positive Polynomials
From Hilbert’s 17th Problem to Real Algebra
AvAlexander Prestel,Charles Delzell
Inbunden, Engelska, 2001
564 kr
Skickas inom 10-15 vardagar
Positivity is one of the most basic mathematical concepts. In many areas of mathematics (like analysis, real algebraic geometry, functional analysis, etc.) it shows up as positivity of a polynomial on a certain subset of R^n which itself is often given by polynomial inequalities. The main objective of the book is to give useful characterizations of such polynomials. It takes as starting point Hilbert's 17th Problem from 1900 and explains how E. Artin's solution of that problem eventually led to the development of real algebra towards the end of the 20th century. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed. Thus the monograph can also serve as the basis for a 2-semester course in real algebra.
Zahlen
AvHeinz-Dieter Ebbinghaus,Hans Hermesm. fl.
Häftad, Tyska, 1992
580 kr
Skickas inom 10-15 vardagar
Die Schwierigkeit Mathematik zu lernen und zu lehren ist jedem bekannt, der einmal mit diesem Fach in Berührung gekommen ist. Begriffe wie "reelle oder komplexe Zahlen, Pi" sind zwar jedem geläufig, aber nur wenige wissen, was sich wirklich dahinter verbirgt. Die Autoren dieses Bandes geben jedem, der mehr wissen will als nur die Hülle der Begriffe, eine meisterhafte Einführung in die Magie der Mathematik und schlagen einzigartige Brücken für Studenten.Die Rezensenten der ersten beiden Auflagen überschlugen sich.
Valued Fields
AvAntonio J. Engler,Alexander Prestel
Häftad, Engelska, 2010
1 568 kr
Skickas inom 10-15 vardagar
Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization.In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.
Positive Polynomials
From Hilbert’s 17th Problem to Real Algebra
AvAlexander Prestel,Charles Delzell
Häftad, Engelska, 2011
564 kr
Skickas inom 10-15 vardagar
Positivity is one of the most basic mathematical concepts. In many areas of mathematics (like analysis, real algebraic geometry, functional analysis, etc.) it shows up as positivity of a polynomial on a certain subset of R^n which itself is often given by polynomial inequalities. The main objective of the book is to give useful characterizations of such polynomials. It takes as starting point Hilbert's 17th Problem from 1900 and explains how E. Artin's solution of that problem eventually led to the development of real algebra towards the end of the 20th century. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed. Thus the monograph can also serve as the basis for a 2-semester course in real algebra.
Zahlen
AvReinhold Remmert,Alexander Prestelm. fl.
E-bok
PDF, Tyska, 2013
574 kr
Läs direkt efter köp
Die Schwierigkeit Mathematik zu lernen und zu lehren ist jedem bekannt, der einmal mit diesem Fach in Berührung gekommen ist. Begriffe wie "reelle oder komplexe Zahlen, Pi" sind zwar jedem geläufig, aber nur wenige wissen, was sich wirklich dahinter verbirgt. Die Autoren dieses Bandes geben jedem, der mehr wissen will als nur die Hülle der Begriffe, eine meisterhafte Einführung in die Magie der Mathematik und schlagen einzigartige Brücken für Studenten.
Die Rezensenten der ersten beiden Auflagen überschlugen sich.
Zahlen
AvReinhold Remmert,Alexander Prestelm. fl.
E-bok
PDF, Tyska, 2013
542 kr
Läs direkt efter köp
Aus den Besprechungen: "Ein Mathematikbuch der Superlativen, für Mathematiker (jeder Schattierung) und Nichtmathematiker (denen völlig unbekannte Dimensionen der Mathematik eröffnet werden - künstlerische, magische, historische, philosophische, wissenschaftstheoretische, "unlogische", phantasieerfüllte usw.). Der Aufbau ist meisterhaft, die Lektüre höchst anregend und leicht lesbar." Monatshefte für Mathematik #1 "Ein gelungenes Werk, das dem Vorurteil entgegenwirkt, Mathematik bestehe nur aus isolierten Theorien." Die NEUE HOCHSCHULE #1 "Das Lesen ist ein Genuß, den man sich nicht entgehen lassen sollte." Jahresbericht der Deutschen Mathematiker-Vereinigung #1
Positive Polynomials
From Hilbert’s 17th Problem to Real Algebra
AvCharles Delzell,Alexander Prestel
E-bok
PDF, Engelska, 2013
718 kr
Läs direkt efter köp
Positivity is one of the most basic mathematical concepts. In many areas of mathematics (like analysis, real algebraic geometry, functional analysis, etc.) it shows up as positivity of a polynomial on a certain subset of R^n which itself is often given by polynomial inequalities. The main objective of the book is to give useful characterizations of such polynomials. It takes as starting point Hilbert''s 17th Problem from 1900 and explains how E. Artin''s solution of that problem eventually led to the development of real algebra towards the end of the 20th century. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed. Thus the monograph can also serve as the basis for a 2-semester course in real algebra.
Einführung in die Mathematische Logik und Modelltheorie
AvAlexander Prestel
E-bok
PDF, Tyska, 2013
452 kr
Läs direkt efter köp

Företag, bibliotek eller offentlig verksamhet?

Alexander Prestel – författare

Numbers

Mathematical Logic and Model Theory

Mathematical Logic and Model Theory

Numbers

Mengenlehre für den Mathematiker

Mengenlehre für den Mathematiker

Einführung in die Mathematische Logik und Modelltheorie

Valued Fields

Valued Fields

Positive Polynomials

Zahlen

Valued Fields

Positive Polynomials

Zahlen

Zahlen

Positive Polynomials

Einführung in die Mathematische Logik und Modelltheorie

Mina sidor

Mina sidor

Hjälp

Hjälp

Om Bokus

Om Bokus

Populärt

Populärt

Inspiration

Inspiration