Cardinal Numbers

Cardinal Numbers
Author: Marcia Schonberg
Publisher: Count Your Way Across the U.S.
Total Pages: 0
Release: 2002
Genre: Juvenile Nonfiction
ISBN: 9781585360840

Presents short rhymes about numbers of objects from one through fourteen and provides information about the Ohio natural history and social studies topics that the objects represent. Also includes a set of open-ended counting problems.

Gateway to Arabic

Gateway to Arabic
Author: Imran Hamza Alawiye
Publisher:
Total Pages: 68
Release: 2000
Genre: Arabic language
ISBN: 9780954083311

Aimed at the beginner who has no prior knowledge of Arabic, this work begins with the first letter of the alphabet, and gradually builds up the learner's skills to a level where he or she would be able to read a passage of vocalised Arabic text. It also includes numerous copying exercises that enable students to develop a clear handwritten style.

Numbers, Sets and Axioms

Numbers, Sets and Axioms
Author: A. G. Hamilton
Publisher: Cambridge University Press
Total Pages: 272
Release: 1982
Genre: Mathematics
ISBN: 9780521287616

Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.

Set Theory

Set Theory
Author: Lev D. Beklemishev
Publisher: Elsevier
Total Pages: 365
Release: 2000-04-01
Genre: Computers
ISBN: 0080954863

Set Theory

Introduction to Cardinal Arithmetic

Introduction to Cardinal Arithmetic
Author: Michael Holz
Publisher: Springer Science & Business Media
Total Pages: 309
Release: 2009-11-23
Genre: Mathematics
ISBN: 3034603274

This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory.

Introduction to Cardinal Arithmetic

Introduction to Cardinal Arithmetic
Author: Michael Holz
Publisher: Springer Science & Business Media
Total Pages: 316
Release: 1999-09
Genre: Mathematics
ISBN: 9783764361242

An introduction to modern cardinal arithmetic is presented in this volume, in addition to a survey of results. A discussion of classical theory is included, paired with investigations in pcf theory, which answers questions left open since the 1970’s.

20 Hungry Piggies

20 Hungry Piggies
Author: Trudy Harris
Publisher: Millbrook Press ™
Total Pages: 33
Release: 2017-08-01
Genre: Juvenile Fiction
ISBN: 154150139X

Nearly everyone has heard about the little piggy that went to the market and the one that stayed home-but there's a lot more to the story! 20 Hungry Piggies completes the tale while, unbeknownst to the reader, teaching an important math concept at the same time. There are many counting books that deal with cardinal numbers (1,2,3,etc), but this book teaches ordinal numbers as well-an important part of the kindergarten math curriculum. As an added bonus, children will have a great time trying to find the hidden wolf and hidden numbers in each spread.

A Wealth of Numbers

A Wealth of Numbers
Author: Benjamin Wardhaugh
Publisher: Princeton University Press
Total Pages: 388
Release: 2012-04-29
Genre: Mathematics
ISBN: 0691147752

An entertaining and informative anthology of popular math writing from the Renaissance to cyberspace Despite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner. In fact, it has a rich tradition stretching back hundreds of years. This entertaining and enlightening antholog—the first of its kind—gathers nearly one hundred fascinating selections from the past 500 years of popular math writing, bringing to life a little-known side of math history. Ranging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor. Featuring many tricks, games, problems, and puzzles, as well as much history and trivia, the selections include a sixteenth-century guide to making a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler on the idea of velocity (1760); "Mathematical Toys" (1785); a poetic version of the rule of three (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll on the game of logic (1887); "Maps and Mazes" (1892); "Einstein's Real Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). Organized by thematic chapters, each selection is placed in context by a brief introduction. A unique window into the hidden history of popular mathematics, A Wealth of Numbers will provide many hours of fun and learning to anyone who loves popular mathematics and science.