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.

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.

Introduces the learner to a range of Arabic vocabulary grouped according to subject, including items within the home and school, animals, shapes, fruit and vegetables, and others. This work also provides learners with a basic knowledge of Arabic grammar, enabling them to take their first steps in understanding and using non-verbal sentences.

DIVDIVFrom the author of Inner Tube and Odditorium, a book of strikingly original, convention-defying short stories/div Cardinal Numbers is a posthumous collection of brilliantly enigmatic short fiction by Hob Broun, written with the aid of a respirator when the author was paralyzed from the neck down. Witty and full of minimalist surprise, these stories flirt with fragment, fabulism, and collage. In “Rosella, in Stages,” an old woman’s experience is movingly charted through the voice of her writing in six different life stages—and in six pages, no less. “Highspeed Linear Main Street,” a standout tale and an artistic credo of sorts, centers on a photographer’s fixation on highway life, while the surreal “Finding Florida” features a Che Guevara who becomes struck with longing for a librarian and receives some unwelcome news from a fortune teller.DIV Powerfully felt as well as mordantly funny, Cardinal Numbers is a freshly singular contribution to the American short story./divDIV/div/div

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.

This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics. The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." — Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.