Download The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The
Are you interested in mostly publications The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The If you are still perplexed on which one of the book The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The that should be purchased, it is your time to not this website to look for. Today, you will need this The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The as one of the most referred book as well as a lot of required book as sources, in various other time, you could take pleasure in for a few other publications. It will rely on your willing requirements. Yet, we consistently recommend that publications The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The can be a great infestation for your life.
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The
Download The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The
The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The. A work may obligate you to consistently enhance the understanding and experience. When you have no sufficient time to boost it directly, you can obtain the experience and also understanding from checking out guide. As everybody understands, book The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The is popular as the home window to open up the globe. It suggests that reviewing publication The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The will give you a brand-new method to find everything that you require. As guide that we will provide below, The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The
As one of the window to open the new world, this The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The provides its outstanding writing from the writer. Released in among the preferred authors, this book The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The becomes one of one of the most wanted publications just recently. Really, guide will certainly not matter if that The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The is a best seller or otherwise. Every publication will certainly constantly give ideal sources to obtain the visitor all finest.
However, some people will seek for the best vendor book to check out as the first referral. This is why; this The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The is presented to satisfy your need. Some individuals like reading this publication The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The as a result of this popular publication, but some love this because of preferred author. Or, several likewise like reading this publication The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The because they actually have to read this book. It can be the one that truly enjoy reading.
In getting this The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The, you may not constantly go by walking or using your electric motors to the book stores. Obtain the queuing, under the rainfall or hot light, and also still hunt for the unidentified book to be in that book establishment. By visiting this web page, you could just look for the The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The and also you could find it. So currently, this time around is for you to go with the download link and purchase The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The as your very own soft data publication. You can read this book The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The in soft data just and wait as your own. So, you don't have to hurriedly put guide The Mathematics Of Infinity: A Guide To Great Ideas (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And Tracts), By The into your bag all over.
A balanced and clearly explained treatment of infinity in mathematics.
The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. For instance, the idea that a set is infinite if it is not a finite set is an elementary concept that jolts our common sense and imagination. the Mathematics of Infinity: A guide to Great Ideas uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing.
Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth mathematical rigor. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun your intuitive view of the world.
With a thoughtful and balanced treatment of both concepts and theory, The Mathematics of Infinity focuses on the following topics:
* Sets and Functions
* Images and Preimages of Functions
* Hilbert's Infinite Hotel
* Cardinals and Ordinals
* The Arithmetic of Cardinals and Ordinals
* the Continuum Hypothesis
* Elementary Number Theory
* The Riemann Hypothesis
* The Logic of Paradoxes
Recommended as recreational reading for the mathematically inquisitive or as supplemental reading for curious college students, the Mathematics of Infinity: A Guide to Great Ideas gently leads readers into the world of counterintuitive mathematics.
- Sales Rank: #3999146 in Books
- Published on: 2006-06-30
- Original language: English
- Number of items: 1
- Dimensions: 9.49" h x .85" w x 6.44" l, 1.20 pounds
- Binding: Hardcover
- 287 pages
Review
"…an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity." (Computing Reviews.com, May 25, 2007)
"…a very well written introduction to set theory…easy to read and well suited for self-study…highly recommended." (CHOICE, February 2007)
From the Back Cover
A balanced and clearly explained treatment of infinity in mathematics.
The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. For instance, the idea that a set is infinite if it is not a finite set is an elementary concept that jolts our common sense and imagination. the Mathematics of Infinity: A guide to Great Ideas uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing.
Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth mathematical rigor. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun your intuitive view of the world.
With a thoughtful and balanced treatment of both concepts and theory, The Mathematics of Infinity focuses on the following topics:
- Sets and Functions
- Images and Preimages of Functions
- Hilbert's Infinite Hotel
- Cardinals and Ordinals
- The Arithmetic of Cardinals and Ordinals
- the Continuum Hypothesis
- Elementary Number Theory
- The Riemann Hypothesis
- The Logic of Paradoxes
Recommended as recreational reading for the mathematically inquisitive or as supplemental reading for curious college students, the Mathematics of Infinity: A Guide to Great Ideas gently leads readers into the world of counterintuitive mathematics.
About the Author
Theodore G. Faticoni, PhD, is Professor in the Dept. of Mathematics at Fordham University. He received his PhD in Mathematics from the Univ. of Connecticut in 1981. His professional experience includes 30 research papers in peer reviewed journals and 30 lectures on his research to his colleagues.
Most helpful customer reviews
6 of 6 people found the following review helpful.
Interesting introduction to sets, and infinity, with only minor flaws
By One-Reader
An excellent book with a slightly misleading title. A better title might be "Sets and Proofs and their Applications to Infinity".
The book is well organized and well written, although the author's assumptions concerning his target audience appear slightly inappropriate. The back cover recommends the book as recreational reading for the mathematically inquisitive. The material presented is certainly accessible to a highly motivated reader. However, the level of mathematical maturity needed to maintain the interest and understanding of the reader appears more realistically targeted for an audience at the college level or the equivalent self-educated reader.
This concise presentation is dense in mathematical symbols. Fortunately for the reader, the examples and proofs give all the appropriate steps so that there are rarely any mathematical gaps to close. The book introduces some substantial mathematical concepts and ways of thinking. This is one of those math books that holds and sustains your interest throughout.
There are some slight flaws, such as editing errors, as early as the preface's first paragraph. In a few instances there are factual errors in the mathematics, e.g., on page 21 the author asks the reader to identify the 11 missing sets, when there are actually 13 missing sets. The most unfortunate gap, in light of the intended audience, is the author's request that the reader provide their own proofs for a number of problems, for which Dr. Faticoni fails to provide solutions.
This book should be interesting to the mathematically mature reader, and help the motivated budding mathematician gain insights to prepare them for more advanced material.
Overall, in spite of some minor flaws, this is an interesting and substantive book by a master teacher. It is one I enjoyed and, except for its price which seems somewhat inappropriate considering its size and intended audience, one I can recommend.
4 of 5 people found the following review helpful.
Great Book, High Price
By jk
First of all the price for this book is way to high, but really this is my only major objection. I have seen allot of books on set theory. As an introduction that aims to give insight into how set theory is handled, and exactly what it does, this book is top notch.
I also found typos in the book. For someone that does not know enough to sort the typos from author intentions this can be a real pain. Of course the way around this is to have at least one other book on set theory around. If something looks odd, then check the other text.
Summary
-------
cost: 1 star
content: 5 stars
typos present: 2 stars
readability: 5 stars (font metrics, printing, page size)
overall: 4 stars
2 of 3 people found the following review helpful.
ENCOUNTERING INFINITY
By Mead C. Whorton Jr.
For anyone with a basic knowledge of high school algebra this book will serve as an excellent introduction to infinite sets, infinite cardinals, and infinite ordinals. After exploring basic set theory and functions, the author carefully leads the reader through infinite sets, infinite cardinals, and well ordered sets to include a nice discussion of the Continuum Hypothesis with a brief overview of Cohen's work. The author concludes his work with chapters on inductions and numbers including a sampling of number theory, prime numbers with an overview of the Riemann Hypothesis, and, finally, a chapter on logic and meta-mathematics. All in all, this book is an excellent primer on Cantor's theory of Transfinite Numbers with some additional topics to whet the reader's appetite. My only complaints are several typos and the high price of the book. That being said, the printing layout of the book is excellent and reading is easy on the eyes. I would advise the interested reader to obtain a used copy for 20-30 dollars. The book would make an excellent text for an advanced high school class or possibly a freshmen seminar at the university level.
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The PDF
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The EPub
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The Doc
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The iBooks
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The rtf
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The Mobipocket
The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), by The Kindle
Tidak ada komentar:
Posting Komentar