The mathematics of infinity a guide to great ideas by Theodore G. Faticoni

Cover of: The mathematics of infinity | Theodore G. Faticoni

Published by John Wiley & Sons in Hoboken, N.J .

Written in English

Read online

Subjects:

  • Infinite,
  • Set theory,
  • MATHEMATICS / Infinity,
  • Cardinal numbers

Edition Notes

Includes bibliographical references and index.

Book details

StatementTheodore G. Faticoni
SeriesPure and applied mathematics
Classifications
LC ClassificationsQA248 .F29 2012
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL25067299M
ISBN 109781118204481
LC Control Number2011041439

Download The mathematics of infinity

The writing is clear to someone who isn't a PhD in math and the writing style makes math fun. This is not a particularly advanced math book; rather, it is a good, solid introduction to the mathematics of infinity.

An advanced high school math student may be able to read this book, but some college math would help a great by: 5. I wanted a book that delved into the math of infinity on a level beyond the basics usually touched on in popular works on Cantor, while still being comprehensible by a layperson.

This is that book. flag Like see review. Hafsa Muhammad rated it liked it /5. This item: Understanding Infinity: The Mathematics of Infinite Processes (Dover Books on Mathematics) by A. Gardiner Paperback $ Only 5 left in stock - Cited by: 3.

The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor.

Praise for the First Edition " an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews " a very well written introduction to set theory easy to read and well suited for self-study highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries.

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 Reviews: 1. The Mathematics of Infinity: A Guide to Great Ideas. Author(s): Theodore G. Faticoni; an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity." (Computing).

Shelves: infinity, math While the title and back cover of this book promise new insights on deep and historically important theological questions, all from incontrovertible mathematical analysis, it fails to even get out of the starting gate (i.e., fails to even adopt a suitable framework for discussion).1/5.

Visions of Infinity attempts to familiarize the non-expert with what working mathematicians today do and which problems grab their attention.

The book is split into 17 chapters with the substance of the book being about 14 major problems in math (some solved, some remain open).Cited by: 1.

Praise for the First Edition an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity.—Computing Reviews a very well written introduction to set theory easy to read and well suited for self-study highly recommended.—Choice The concept of infinity has fascinated and confused mankind for centuries with.

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. The Invention of Infinity book. Read reviews from world’s largest community for readers.

From Giotto to Michelangelo and beyond, the period from about 13 /5(6). ―Joyance Meechai, Mathematics Teacher, October "Stillwell has produced an excellent book on infinity for the motivated lay reader. The author does a masterful job of painting a historical portrait of logic, set theory, incompleteness, computable functions, and many associated foundational by: For a nice introduction to the many different notions of infinity in mathematics see Rudy Rucker's book: Infinity and the Mind.

Unlike many other popularizations, this is written by someone who did a Ph.D. on the topic. Rucker goes to great lengths to make the presentation faithful to the mathematics but still accessible to an educated layperson.

(Review originally posted on the web page of the Apeiron Center in Paris) I have just finished reading Chris Ransford’s well-thought and well-written book God and the Mathematics of Infinity a research concerning the most passionate and radical subject of our intellect, which is the mathematics of the Divine Infinite Being/5(4).

The Joy of x: A Guided Tour of Math, from One to Infinity - Kindle edition by Strogatz, Steven. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading The Joy of x: A Guided Tour of Math, from One to Infinity/5(). This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics/5.

The writing is clear to someone who isn't a PhD in math and the writing style makes math fun. This is not a particularly advanced math book; rather, it is a good, solid introduction to the mathematics of infinity. An advanced high school math student may be able to read this book, but some college math would help a great deal/5(9).

The Mathematics of Infinity | ""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. In The Invention of Infinity, Dr. Field, a noted historian on math and the arts, tells the remarkable story of how the "practical" mathematics of Renaissance artists actually influenced the development of "proper" mathematics--a true story of life imitating art.5/5(1).

Visions of Infinity book. Read 20 reviews from the world's largest community for readers. It is one of the wonders of mathematics that, for every problem /5(20). Download Book The learning guide “Discovering the Art of Mathematics: The Infinite” lets you, the explorer, investigate the great mysteries of the infinite that long captivated humankind.

You explore large numbers, their meaning and emotional significance, from millions through millinillitrillions.

Drawing on the science and mathematics of infinity, H. Chris Ransford analyzes the traditional concept of godhood and reaches surprising conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God.

Using mathematics, he explores key questions within this debate: for instance, why does evil exist if there is. In mathematics, an injective function is a function that every element of the function’s codomain is the image of at most one element of its domain.

The book was a good read because it discussed the more popular breakthroughs in mathematics that I learned in school (it was very selective on what it discussed in mathematics). It was easy to read and it had sections in each topic of mathematics where it would show how every subject in math /5(61).

Book Roads to Infinity The Mathematics of Truth and Proof pdf Book Roads to Infinity The Mathematics of Truth and Proof pdf Pages By John C. Stillwell Publisher: A K Peters, Year: ISBN:Search in Description: This popular account of set theory and mathematical logic introduces the reader to modern ideas about.

I have just finished reading Chris Ransford’s well-thought and well-written book God and the Mathematics of Infinity, a research concerning the most passionate and radical subject of our intellect, which is the mathematics of the Divine Infinite reading took place during my one-week holidays at the beautiful Greek island of Simi after breakfast in front of the sublime blue sea.

This book provides a beautiful image of what it means to do mathematics and embodies the idea introduced by mathematician Francis Su that mathematics is for human flourishing.

In addition to introducing different mathematical objects and problems, The Boy Who Dreamed of Infinity is the story of a child and young adult tirelessly persevering to.

Find a huge variety of new & used Mathematics Infinity books online including bestsellers & rare titles at the best prices. Shop Mathematics Infinity books at Alibris. The Mathematics of Infinity: A Guide to Great Ideas, 2nd Edition by Get The Mathematics of Infinity: A Guide to Great Ideas, 2nd Edition now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from + publishers. Discover the best Infinity Mathematics in Best Sellers.

Find the top most popular items in Amazon Kindle Store Best Sellers. (Cambridge Studies in Advanced Mathematics Book ) Camil Muscalu. out of 5 stars 1.

Kindle Edition. $ # Infinite Series (Dover Books on Mathematics) Isidore Isaac Hirschman. out of 5 stars 6. Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions.

edition. The infinity symbol ∞ (sometimes called the lemniscate) is a mathematical symbol representing the concept of symbol is encoded in Unicode at U+E ∞ INFINITY (HTML &#; ∞) and in LaTeX as \infty.

It was introduced in by John Wallis, and since its introduction, it has also been used outside mathematics in modern mysticism and literary symbology. In mathematics, the infinity symbol is used more often to represent a potential infinity, rather than an actually infinite quantity such as the extended real numbers, the ordinal numbers and the cardinal numbers (which use other notations).

For instance, in mathematical expressions with summations and limits such as the one below:Different from: U+E ♾ PERMANENT PAPER. Infinity: A very short introduction by Ian Stewart This is a very small book about a, potentially, very large subject.

People have been thinking about infinity for a very long time, and there are various angles from which to look at it: religious, philosophical, mathematical. In this book Stewart focusses on the maths, dipping into those bits of philosophy and religion that.

Get this from a library. The mathematics of infinity: a guide to great ideas. [Theodore G Faticoni] -- Facticoni starts at the basic concept of sets and functions, discusses infinite cardinalities, and reaches the topics of transfinite induction and cardinal arithmetics.

He also discusses some famous. Please subscribe for new mysteries every week. Watch the full episodes of The Book of Mysteries on TBN here: The m.

Get this from a library. God and the mathematics of infinity: what irreducible mathematics says about Godhood.

[H Chris Ransford] -- Drawing on incontrovertible results from the science and mathematics of Infinity, H. Chris Ransford analyzes the traditional concept of Godhood and reaches astonishing conclusions.0He addresses. A wonderful history of mankind's grappling with the concept of infinity where mathematics, philosophy and religion intersect in amazing ways.

This is a relatively short book but it is packed with fascinating stories about ancient Greek philosophers, kabalists, Galileo, /5. For this book, the content is coming from a long-running blog.

Each chapter is very short and about a particular feature of mathematics. Strogatz’s writing style is very engaging. However. Ian Stewart belongs to a very small, very exclusive club of popular science and mathematics writers who are worth reading today.

Robert Schaefer of New York Journal of Books [3] Kirkus Reviews said Stewart "succeed[ed] in illuminating many but not all of some very difficult ideas", and that the book "will enchant math enthusiasts as well as.In this book, Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences.The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity Amir D.

Aczel Simon and Schuster, - Biography & Autobiography - pages/5(7).

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