Introduction to the Theory of Sets

Introduction to the Theory of Sets - Paperback

$11.95
Sale price  $11.95 Regular price 
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Introduction to the Theory of Sets

Introduction to the Theory of Sets - Paperback

by Joseph Breuer
$11.95
Sale price  $11.95 Regular price 

Book Overview

Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from concrete finite sets to cardinal numbers, infinite cardinals, and ordinals.
Although set theory begins in the intuitive and the concrete, it ascends to a very high degree of abstraction. All that is necessary to its grasp, declares author Joseph Breuer, is patience. Breuer illustrates the grounding of finite sets in arithmetic, permutations, and combinations, which provides the terminology and symbolism for further study. Discussions of general theory lead to a study of ordered sets, concluding with a look at the paradoxes of set theory and the nature of formalism and intuitionalism. Answers to exercises incorporated throughout the text appear at the end, along with an appendix featuring glossaries and other helpful information.

ISBN9780486453101
Author Joseph Breuer
PublisherDover Publications
GenreEducation
FormatPaperback
PublishedJuly 2006
LanguageENG- English
Pages128
Weight1.0 lb
Target AudienceAdults
Print SizeStandard Print

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About Joseph Breuer

Sigmund Freud (1856-1939) was born in Moravia and lived in Vienna between the ages of four and eighty-two. In 1938 Hitler's invasion of Austria forced him to seek asylum in London, where he died the following year. Freud's career began with several years of brilliant work on the anatomy and physiology of the nervous system. He was almost thirty when, after a period of study under Charcot in Paris, his interests first turned to psychology, and another ten years of clinical work in Vienna (at first in collaboration with Breuer, an older colleague) saw the birth of his creation: psychoanalysis. This began simply as a method of treating neurotic patients by investigating their minds, but it quickly grew into an accumulation of knowledge about the workings of the mind in general, whether sick or healthy. Freud was thus able to demonstrate the normal development of the sexual instinct in childhood and, largely on the basis of an examination of dreams, arrived at his fundamental discovery of the unconscious forces that influence our everyday thoughts and actions. Freud's life was uneventful, but his ideas have shaped not only many specialist disciplines, but the whole intellectual climate of the last half-century. Nicola Luckhurst is a lecturer in literature at Goldsmith's College, University of London.

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