The World through the Lens of Mathematics

Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Introduction
	Uniqueness of the Book
	Audience
	Structure of the Book
	Mathematical Problems
About the Authors
Acknowledgments
1 Our Algebraic World
	1.1 Our World in Fractions
		Divided Countries
		Reunited Countries
		Country Capitals
		New Countries
		National Anthem
	1.2 National Flags
		Skyscrapers
		Shared Islands
		Feeding Animals
		Healthy Weight
		Solutions
		Sources
	1.3 Facts in Factors
		Oldest European Countries
		The Grand Bazaar
		The Stan Countries
		Stonehenge
		The Mayan Calendar
		National Parks
		Treasures of the Sea
		Voting and Drinking Ages
		Movies With Numeric Titles
		Penicillin and Bubble Gum
		Solutions
		Sources
	1.4 Sequential History
		National Anthems Around the Globe
		Populations of the Seven Continents
		The Land Down Under
		From Clasp Lockers to Zippers
		Microwaves
		The Deepest Point
		Countries With Many Borders
		Decline of the Olympic Games
		Ancient Olympic Games
		Modern Olympic Games
		Solutions
		Sources
	1.5 Unions of Unions
		The United Kingdom
		The United Nations
		Continental Unions
		The BRICS Economies
		Enclaves
		Semi-enclaves
		Icelandic Glaciers
		Iceland Tourism
		Human Development Vs. GDP
		The H-Day
		Solutions
		Sources
	1.6 The Most Extreme
		The Smallest Country in Oceania
		The Longest Border
		The Deepest River
		The Largest River
		The Tallest Mountain
		The Wettest Capital
		Basalt Columns
		The Longest Tunnel
		The Shortest Land Border
		The Ring of Fire
		Solutions
		Sources
	1.7 UNESCO Sites With Logarithms
		UNESCO World Heritage Sites
		Countries With the Most Heritage Sites
		World Heritage Cities
		Countries With the Least Heritage Sites
		Restricted UNESCO Heritage Sites
		Losing Heritage Status
		Disjointed UNESCO Heritage Sites
		Heritage City On a Coral Reef
		UNESCO Heritage Lakes
		UNESCO Archipelagos
		Solutions
		Sources
2 Around the World With Equations
	2.1 Inventions With Linear Equations
		Driving On a Causeway
		Linking to the Continent
		Temperature Scales
		Nobel Prize
		Easter Island
		Astonishing Excavations
		Rediscoveries of the Past
		Unsinkable
		Predictions, Predictions
		Credit Cards
		Solutions
		Sources
	2.2 Nonlinearities Around the Globe
		The Cradle of Civilization
		Monarchies and Kingdoms
		The Largest Kingdom
		Countries With Similar Names
		Borders Between Countries
		The Land of Eagles
		Lucky–Unlucky Numbers Around the World
		Lucky–Unlucky Numbers in Countries
		Speed Limits
		From Rejection to Fame
		Solutions
		Sources
	2.3 Linear Systems Everywhere
		Halloween Around the World
		Shopping Cart On Wheels
		Camel Caravan
		The Tallest Mountains
		Countries With Lakes
		The Largest Rivers
		Alphabets
		Notable Minarets
		The Honey Country
		Giving Flowers
		Solutions
		Sources
	2.4 Nonlinear Systems Through Time
		The Newest Country
		A Sculpture Lake
		National Flag With Stars
		Time Zones
		Smallest Continent, Largest Island
		Countries Around the Globe
		The Narrowest Country
		The Lowest Points of the Continents
		Quadripoints
		A Guinness World Record Holder
		Solutions
		Sources
3 Wor(l)d Problems
	3.1 Profit at Markets
		The Vernissage Market
		An Eritrean Market
		A Fish Market
		An Indian Market
		The Tabriz Bazaar
		A Floating Market
		A Perfume Market
		A Historic Market
		A Train Market
		A Night Market
		Solutions
		Sources
	3.2 Work On Work
		Air Conditioner
		Reclaiming Land
		The Sagrada Familia
		A Beer Bath
		A Modern Medieval Castle
		Recovery After Hurricanes
		Notable Tunnels
		Remarkable Tunnels
		The Blue Lagoon
		Construction Projects
		Solutions
		Sources
	3.3 Speed and Distances
		Sailing in the Caribbean
		Explore Dominica
		The Middle East
		A Salesperson’s Problem
		Visit Malta
		Sunset in Panama
		Camino De Santiago
		The Flattest Countries
		Cities With the Most Airports
		Balkan Countries
		Solutions
		Sources
	3.4 From Capital to Capital
		Island Countries
		Central European Capitals
		The Furthest Closest Capitals
		Multiple Capitals
		Capitals of Bordering Countries
		Popular Capitals
		The Closest Capitals
		Exceptionality of Capitals
		Capitals Named After Presidents, Kings, and Tribes
		Multilingual Capitals
		Solutions
		Sources
	3.5 Mathematics of Games
		Slinkies
		Hopscotch
		Rummikub
		Ball Games
		Darts
		Dice Game
		Card Games
		Colored Balls
		Domino
		Triomino
		Solutions
		Sources
	3.6 Miscellaneous Mixtures
		Olympic Games
		Olympic Medals
		Saltiest Lakes
		Acids
		Acids Everywhere
		Acids in Medicine
		Date Palms
		Mango Trees
		Grapes and Raisins
		Nuts Mixture
		Solutions
		Sources
	3.7 World Religions
		The Big Five
		Hinduism
		Abrahamic Religions
		Buddhism
		Holy Books
		Twice-Holy Temples
		Minarets
		Cathedrals
		Christian Churches
		Statues of Buddha
		Solutions
		Sources
4 Discovering the World With Geometry
	4.1 From Graphs to Scientists
		The First Female Scholar
		The Founder of the First Academy
		A Famous Brotherhood
		The Designer of Paradoxes
		The Father of Geometry
		Inventors of Logarithms
		Creators of Analytic Geometry
		Scientists in the Names of Curves
		Authors of Famous Books
		Creators of Notations
		Solutions
		Sources
	4.2 Notable Shapes
		Roundest Countries
		Squarest Countries
		Shapes of Pyramids
		The Pyramid of Giza
		Tombs Inside Pyramids
		The Grand Canal
		The Corinth Canal
		Buildings With Polygons
		The Largest Pomelo
		The Heaviest Pomelo
		Solutions
		Sources
	4.3 Geometric Fun With National Flags
		Colorful National Flags
		The Unity Flag
		Rectangles On National Flags
		Triangles On National Flags
		National Flags With Triangles
		Trapezoids and Triangles On National Flags
		Circles On National Flags
		National Flags With Circles
		Five-Pointed Stars On National Flags
		Six-Pointed Stars On National Flags
		Solutions
		Sources
5 The World in Puzzles
	5.1 Savvy Puzzles
		Countries Named Guinea
		Equatorial Guinea
		The Largest Gas Station
		Mont-Saint-Michel
		Coral Reefs
		Three Geniuses
		The Braille System
		NATO
		The World’s Fair
		Yule Lads
		Solutions
		Sources
	5.2 Number Puzzles
		Math Is Twice the Fun
		Roots Are Bliss
		The Tallest Statue
		Amazing Numbers
		Tug of War
		The Country Mirrors a River
		The Lone Star State
		The Sahara Desert
		Criminals On Banknotes
		Units of Measurement
		Solutions
		Sources
	5.3 Grid Puzzles
		Heart Sudoku
		Languages Around the Globe
		Official Languages in Palau
		Official Languages in Australia
		Official Languages in the USA and Mexico
		Inventions and Complaints
		Discovery of Insulin
		Tectonic Plates
		Metro in Turkey
		The Eiffel Tower
		Countries Rich With Lakes
		Solutions
			The Heart Sudoku
		Sources
	5.4 Logic Puzzles
		Countries of the Past
		Capitals of Hawaii
		US Statehood
		The Northwest Territory
		An Insular Area
		The Tallest Towers
		Suspension Bridges
		Countries Rich With Islands
		Countries of the World
		The Oldest Border
		Solutions
		Sources
Index