Elements of Set Theory

Author: Herbert B. Enderton

Publisher: Academic Press

ISBN: 0080570429

Category: Mathematics

Page: 279

View: 6528

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Elements of set theory

Author: Peter W. Zehna,Robert Leo Johnson

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 197

View: 6692

Theory of Sets

Author: N. Bourbaki

Publisher: Springer Science & Business Media

ISBN: 3642593097

Category: Mathematics

Page: 414

View: 2914

The Joy of Sets

Fundamentals of Contemporary Set Theory

Author: Keith Devlin

Publisher: Springer Science & Business Media

ISBN: 146120903X

Category: Mathematics

Page: 194

View: 6956

This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.

Set Theory for the Working Mathematician

Author: Krzysztof Ciesielski

Publisher: Cambridge University Press

ISBN: 9780521594653

Category: Mathematics

Page: 236

View: 2104

Presents those methods of modern set theory most applicable to other areas of pure mathematics.

Naive Mengenlehre

Author: Paul R. Halmos

Publisher: Vandenhoeck & Ruprecht

ISBN: 9783525405277

Category: Arithmetic

Page: 132

View: 347

Handbook of Set Theory

Author: Matthew Foreman,Akihiro Kanamori

Publisher: Springer Science & Business Media

ISBN: 1402057644

Category: Mathematics

Page: 2230

View: 3925

Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.

Elements of Mathematics

Theory of Sets

Author: Nicolas Bourbaki

Publisher: N.A

ISBN: N.A

Category: Set theory

Page: 414

View: 4828

A Book of Set Theory

Author: Charles C Pinter

Publisher: Courier Corporation

ISBN: 0486795497

Category: Mathematics

Page: 256

View: 1407

Accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Topics include classes and sets, functions, natural and cardinal numbers, arithmetic of ordinal numbers, and more. 1971 edition with new material by author.

Salz. Fett. Säure. Hitze

Die vier Elemente guten Kochens.

Author: Samin Nosrat

Publisher: Antje Kunstmann

ISBN: 3956142829

Category: Cooking

Page: 472

View: 2769

Samin Nosrat verdichtet ihre reiche Erfahrung als Köchin und Kochlehrerin zu einem so einfachen wie revolutionären Ansatz. Es geht dabei um die vier zentralen Grundlagen guten Kochens: Salz, Fett, Säure und Hitze. Salz – das die Aromen vertieft. Fett – das sie trägt und attraktive Konsistenzen ermöglicht. Säure – die alle Aromen ausbalanciert. Und Hitze – die die Konsistenz eines Gerichts letztendlich bestimmt. Wer mit diesen vier Elementen souverän umgeht, kann exzellent kochen, ohne sich an Rezepte klammern zu müssen. Voller profundem Wissen, aber mit leichter Hand und gewinnendem Ton führt Nosrat in alle theoretischen und praktischen Aspekte guten Kochens ein, vermittelt Grundlagen und Küchenchemie und verrät jede Menge inspirierender Tipps und Tricks. In über 100 unkomplizierten Rezepten wird das Wissen vertieft und erprobt: frische Salate, perfekt gewürzte Saucen, intensiv schmeckende Gemüsegerichte, die besten Pastas, 13 Huhn-Varianten, zartes Fleisch, köstliche Kuchen und Desserts. Samin Nosrats Rezepte ermuntern zum Ausprobieren und zum Improvisieren. Angereichert mit appetitanregenden Illustrationen und informativen Grafiken ist dieses Buch ein unverzichtbarer Küchenkompass, der Anfänger genauso glücklich macht wie geübte Köche.

Lean In

Frauen und der Wille zum Erfolg

Author: Sheryl Sandberg

Publisher: Ullstein eBooks

ISBN: 384370578X

Category: Biography & Autobiography

Page: 312

View: 2163

In Deutschland sitzen in den Vorständen der 100 umsatzstärksten Firmen gerade einmal drei Prozent Frauen. International sieht es nicht viel besser aus. Sheryl Sandberg ist COO von Facebook und gehörte davor zur Führungsmannschaft bei Google. Zusammen mit ihrem Mann Dave erzieht sie zwei kleine Kinder. Sie ist eine der wenigen sichtbaren Top-Managerinnen weltweit und ein Vorbild für Frauen aller Generationen. In ihrem Buch widmet sie sich ihrem Herzensthema: Wie können mehr Frauen in anspruchsvollen Jobs an die Spitze gelangen? Sie beschreibt äußere und innere Barrieren, die Frauen den Aufstieg verwehren. Sandberg zeigt, wie jede Frau ihre Ziele erreichen kann.

Mengenlehre und ihre Logik

Author: Willard van Orman Quine

Publisher: Springer-Verlag

ISBN: 3322859436

Category: Mathematics

Page: 264

View: 8792

Introduction to the Theory of Sets

Author: Joseph Breuer

Publisher: Courier Corporation

ISBN: 0486154874

Category: Mathematics

Page: 128

View: 6559

This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.

Principia mathematica

Vorwort und Einleitungen

Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: 9783518281932

Category: Mathematische Logik

Page: 167

View: 4941

Labyrinth of Thought

A History of Set Theory and Its Role in Modern Mathematics

Author: Jose Ferreiros

Publisher: Springer Science & Business Media

ISBN: 9783764357498

Category: Mathematics

Page: 440

View: 3265

"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)

Set Theory Essentials

Author: Emil G. Milewski

Publisher: Research & Education Assoc.

ISBN: 9780738672069

Category: Mathematics

Page: 108

View: 9825

REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Set Theory includes elementary logic, sets, relations, functions, denumerable and non-denumerable sets, cardinal numbers, Cantor's theorem, axiom of choice, and order relations.