Dewey Decimal513.5
Table Of ContentPreface 1. Natural Numbers 1.1 Counting 1.2 Properties of numbers 1.3 Magic squares 1.4 Prime numbers 1.5 From Pythagoras to Fermat 1.6 What are natural numbers? 1.7 Applications: Cryptography 2. Representations of numbers 2.1 How were numbers represented in former times? 2.2 The abacus and counting board 2.3 The decimal system 2.4 Divisibility rules 2.5 Binary numbers 2.6 Applications: Barcodes 3. Rational and irrational 3.1 Fractions 3.2 Ratios 3.3 Rational numbers 3.4 Irrational numbers: The first crisis 3.5 Decimal numbers 4. Transcendental numbers 4.1 The most mysterious number 4.2 Limits 4.3 How many transcendental numbers are there? 5. Imaginary and complex 5.1 Linear equations 5.2 Quadratic equations 5.3 The drama of the cubic equation 5.4 The tragedy of the quintic equation 5.5 Every equation can be solved! Notes from the translators Bibliography Index
SynopsisPosing the question "What exactly is a number?" a distinguished German mathematician presents this intriguing and accessible survey. Albrecht Beutelspacher founder of the renowned interactive mathematics museum, Mathematikum characterizes the wealth of experiences that numbers have to offer. In addition, he considers the many things that can be described by numbers and discusses which numbers possess special fascinations and pose lasting mysteries. Starting with natural numbers, the book examines representations of numbers, rational and irrational numbers, transcendental numbers, and imaginary and complex numbers. Readers will explore the history of numbers from Pythagoras to Fermat and discover such practical applications as cryptography and barcodes. A thoughtful and enlightening introduction to the past, present, and future of numbers, this volume will captivate mathematicians and nonmathematicians alike., A writer of popular mathematics books presents this accessible characterization of the wealth of experiences that numbers have to offer, the many things described by numbers, and numbers that possess special fascinations. 2015 edition., Posing the question "What exactly is a number?" a distinguished German mathematician presents this intriguing and accessible survey. Albrecht Beutelspracher founder of the renowned interactive mathematics museum, Mathematikum characterizes the wealth of experiences that numbers have to offer. In addition, he considers the many things that can be described by numbers and discusses which numbers possess special fascinations and pose lasting mysteries. Starting with natural numbers, the book examines representations of numbers, rational and irrational numbers, transcendental numbers, and imaginary and complex numbers. Readers will explore the history of numbers from Pythagoras to Fermat and discover such practical applications as cryptography and barcodes. A thoughtful and enlightening introduction to the past, present, and future of numbers, this volume will captivate mathematicians and nonmathematicians alike.
LC Classification NumberQA141