Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real?, Brian Clegg explores the way that math has become more and more detached from reality, and yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity, to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader’s eyes to the hidden reality of the strange yet familiar entities that are numbers.
Part of the answer, we hope, lies in this volume. This book is structured like a reverse telephone book, or more accurately, like a reverse handbook of special function values.
These maximum and minimum scores can be defined inductively as follows: Definition. A game is called short if it has only a finite total number of options. Let G be a short game. If G is not a number, set L.G/ D max R.GL/; ...
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light.
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs.
The management accounting model illustrated in "Real Numbers" points the way to unlocking the true profit potential of lean. Real Numbers is required reading for SME Lean Silver Certification.
This book provides support in keeping with the major goals of National Council of Teachers of Mathematics curriculum.
This book differentiates between two types of void, and aligns them with the Lacanian concepts of a true and a false hole and the psychoanalytic theory of primary repression.
In this elegant book, mathematician and philosopher Paolo Zellini offers a brief cultural and intellectual history of mathematics, ranging widely from the paradoxes of ancient Greece to the sacred altars of India, from Mesopotamian calculus ...
All the contributors are outstanding authorities in their respective fields, and the essays, which are directed to historians and philosophers of mathematics as well as to mathematicians who are concerned with the foundations of their ...
Intended primarily for a course for future high school teachers. Can also serve as an introduction to mathematical thought, a short course in number theory, an honors course at the...