Introduction to the Theory of Sets (Dover Books on Mathematics) by Joseph Breuer (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I got a lot out of this book even though some of it was above my head. Some of the ideas were really interesting, explained well, etc. They need to update the font used in this book and maybe update the examples. It has an older feel that you have to get past.

⭐It is a good set theory book for beginners and gives clear cut definitions and examples. An it explains everything very well and if you are a series mathematician than it worth to go over because must schools and universities don’t go over or teach it but expect you to known set theory without going over it. With my university this is a common thing that happens. So it is a good thing to pick up and learn and it will help you in the long run.

⭐I don’t know if it was the book or the fact that set theory is so kick-ass cool?My brain fell in love w sets and permutations.So I have to give credit to the book,I guess.It is a very short book and dense.You have to take the time to go over every chapter,if not every page,to make sure you are getting it.But,I was a complete novice to set theory.More advanced readers may breeze through it.

⭐I am a chemist major, but am trying to switch to business analytics by taking an MBA program and perhaps getting a certificate in business analytics. By going this route, I need a good math and stats understanding, and while I took a lot of math in my undergrad for chemistry (calc three and linear algebra) I need a good review of the fundamentals. This book defiantly serves that purposes.I highly recommend.

⭐Worthless book is really a pamphlet no insight provided

⭐Very easy to read. High school students enjoy working through the book.

⭐This book is too advance, so people who already know about this subject will feel that this is the right book to learn more about this subject. But people who want to teach themselves set theory, my advice is to start reading some basic concepts…It is difficult to find a book which explain set theory in a simple way. Set Theory by Martha Pieper cover some basic concept of set theory.

⭐I’ve read several books on real analysis which left me wondering about any number of issues this book finally clarified. Moreover, it has put into sharper perspective for me than any other the controversy concerning the axiom of choice and the differences between formalism and intuitionism. I’ve never before written a review for Amazon, but I felt obligated to highlight the singular clarity of this book.

⭐Il libro presenta in circa 100 pagine la teoria ingenua degli insiemi (Naive Set Theory) ed è quindi particolarmente indicato per chi parte da zero. In particolare i prerequisiti, al di là della curiosità, sono una buona dimestichezza con l’algebra e un’infarinatura di analisi, cioè il classico programma scolastico fino alla 5° superiore. Nonostante la sua brevità, il testo affronta molti argomenti e in maniera chiara. Non ha 5 stelle perché la scrittura non è delle più vivaci.Riporto l’indice:1 – Introduction2 – Finite Sets (definizioni di base, insieme equivalente, numeri cardinali)3 – Infinite Sets (cardinali transfiniti, numerabilità e non-numerabilità, teorema di equivalenza, operazioni con num cardinali)4 – Ordered Sets (tipi di ordine, insiemi ben oridnati, numeri ordinali)5 – Points Sets (punti di accumulazione e condensazione, insiemi chiusi, densi e perfetti, insiemi continui, dominio e continuità delle funzioni)6 – Conclusions (paradossi della teoria degli insiemi)7 – Appendix (glossario, breve sintesi storica, bibliografia, simboli)Answer to exercisesIndexCome suggerisce l’autore stesso (p. 96) la lettura successiva dovrebbe essere Kamke, Theory of Sets, pubblicato sempre da Dover.O conteúdo do livro é muito bom. O autor é didático e explica o significado dos símbolos matemáticos utilizados. No entanto, o livro tem uma série de erros tipográficos que comprometem parte do entendimento. O livro pode ser lido com conhecimentos a partir do ensino médio.

⭐

Keywords

Free Download Introduction to the Theory of Sets (Dover Books on Mathematics) in PDF format
Introduction to the Theory of Sets (Dover Books on Mathematics) PDF Free Download
Download Introduction to the Theory of Sets (Dover Books on Mathematics) 2012 PDF Free
Introduction to the Theory of Sets (Dover Books on Mathematics) 2012 PDF Free Download
Download Introduction to the Theory of Sets (Dover Books on Mathematics) PDF
Free Download Ebook Introduction to the Theory of Sets (Dover Books on Mathematics)