The Riddle of Scheherazade: And Other Amazing Puzzles, Ancient and Modern
Once again in trouble with the king and in danger of losing her head, clever Scheherazade teases the king with a selection of 225 devious mathematical and logic puzzles, including Go+a5delian brain twisters, paradoxes, metapuzzles, logic tricks, number games, and more. 10,000 first printing."
In these mathematical and logic puzzles, truth-telling knights battle lying knaves; a philosopher-logician named George falls in love with Oona, flighty bird-girl of the South Pacific; Inspector Craig and timid, conceited or modest reasoners match wits. Using such fictional enticements, the author of What Is the Name of This Book? and To Mock a Mockingbird steers us through the logical thickets of Kurt Godel's famous Incompleteness Theorem, which holds that mathematical systems can never prove their own consistency.
This book helps the student complete the transition from purely manipulative to rigorous mathematics. The clear exposition covers many topics that are assumed by later courses but are often not covered with any depth or organization: basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers (including consequences of the completeness axiom), fields, and basic properties of n-dimensional Euclidean spaces.
This final text in the Zakon Series on Mathematics Analysis follows the release of the author's Basic Concepts of Mathematics and Mathematical Analysis I and completes the material on Real Analysis that is the foundation for later courses in functional analysis, harmonic analysis, probability theory, etc. The first chapter extends calculus to n-dimensional Euclidean space and, more generally, Banach spaces, covering the inverse function theorem, the implicit function theorem, Taylor expansions, etc.
This text undertakes to provide a first-year course in accounting, with accepted principles of accounting arranged in an orderly fashion to capture the student's interest, to hold it, and to anticipate his difficulties so that unnecessary questions are avoided. Additional illustrative material should strengthen and clarify the presentation, particularly in connection with such subjects as analysis of proprietorship, adjustments, bad debts, depreciation, corporations and payroll.
