Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
This lighthearted work uses a variety of practical applications and puzzles to take a look at today's mathematical trends. In nine chapters, Professor Pedoe covers mathematical games, chance and choice, automatic thinking, and more.
This revised edition of a mathematical classic originally published in 1957 will bring to a new generation of students the enjoyment of investigating that simplest of mathematical figures, the circle. The author has supplemented this new edition with a special chapter designed to introduce readers to the vocabulary of circle concepts with which the readers of two generations ago were familiar. Readers of Circles need only be armed with paper, pencil, compass, and straight edge to find great pleasure in following the constructions and theorems. Those who think that geometry using Euclidean tools died out with the ancient Greeks will be pleasantly surprised to learn many interesting results which were only discovered in modern times. Novices and experts alike will find much to enlighten them in chapters dealing with the representation of a circle by a point in three-space, a model for non-Euclidean geometry, and the isoperimetric property of the circle.
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
This revised edition of a mathematical classic originally published in 1957 will bring to a new generation of students the enjoyment of investigating that simplest of mathematical figures, the circle. The author has supplemented this new edition with a special chapter designed to introduce readers to the vocabulary of circle concepts with which the readers of two generations ago were familiar. Readers of Circles need only be armed with paper, pencil, compass, and straight edge to find great pleasure in following the constructions and theorems. Those who think that geometry using Euclidean tools died out with the ancient Greeks will be pleasantly surprised to learn many interesting results which were only discovered in modern times. Novices and experts alike will find much to enlighten them in chapters dealing with the representation of a circle by a point in three-space, a model for non-Euclidean geometry, and the isoperimetric property of the circle.
This lighthearted work uses a variety of practical applications and puzzles to take a look at today's mathematical trends. In nine chapters, Professor Pedoe covers mathematical games, chance and choice, automatic thinking, and more.
The book is an introduction to the foundations of Mathematics. The use of the constructive method in Arithmetic and the axiomatic method in Geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures.
MAA Press: An Imprint of the American Mathematical Society This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product 1⋅2⋅3⋯1,000,000 1⋅2⋅3⋯1,000,000? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.
Dan Brown’s mega-bestseller is now available for a new generation of readers. This young adult adaptation is the perfect way to get ready for Origin, the latest novel featuring the character Robert Langdon. It will remind fans everywhere why the New York Times calls The Da Vinci Code “blockbuster perfection.” Includes over twenty color photos showing important locations, landmarks, and artwork, taking readers from Paris to London and beyond! The greatest conspiracy of the past two thousand years is about to unravel. Robert Langdon, professor of religious symbology at Harvard, is in Paris to give a lecture. At the reception that follows, he is scheduled to meet with a revered curator from the world-famous Louvre museum. But the curator never shows up, and later that night Langdon is awakened by authorities and told that the curator has been found dead. He is then taken to the Louvre—the scene of the crime—where he finds out that baffling clues have been left behind. Thus begins a race against time, as Robert Langdon becomes a suspect and, with the help of French cryptologist Sophie Neveu, must decipher a mystifying trail of clues that the two come to realize have been left specifically for them. If Robert and Sophie cannot solve the puzzle in time, an ancient truth could be lost forever—and they themselves might end up as collateral damage. Praise for the adult edition of The Da Vinci Code “WOW . . . Blockbuster perfection. An exhilaratingly brainy thriller. Not since the advent of Harry Potter has an author so flagrantly delighted in leading readers on a breathless chase and coaxing them through hoops.”—The New York Times “A new master of smart thrills. A pulse-quickening, brain-teasing adventure.”—People
#1 WORLDWIDE BESTSELLER • While in Paris, Harvard symbologist Robert Langdon is awakened by a phone call in the dead of the night. The elderly curator of the Louvre has been murdered inside the museum, his body covered in baffling symbols. “Blockbuster perfection.... A gleefully erudite suspense novel.” —The New York Times “A pulse-quickening, brain-teasing adventure.” —People As Langdon and gifted French cryptologist Sophie Neveu sort through the bizarre riddles, they are stunned to discover a trail of clues hidden in the works of Leonardo da Vinci—clues visible for all to see and yet ingeniously disguised by the painter. Even more startling, the late curator was involved in the Priory of Sion—a secret society whose members included Sir Isaac Newton, Victor Hugo, and Da Vinci—and he guarded a breathtaking historical secret. Unless Langdon and Neveu can decipher the labyrinthine puzzle—while avoiding the faceless adversary who shadows their every move—the explosive, ancient truth will be lost forever.
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