Download and read online In Pursuit of the Traveling Salesman in PDF and EPUB Covers the history, applications, theory, and computation of the traveling salesman problem right up to state-of-the-art solution machinery.
Download and read online The Traveling Salesman Problem in PDF and EPUB This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.
Download and read online The Golden Ticket in PDF and EPUB The P-NP problem is the most important open problem in computer science, if not all of mathematics. Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.
Download and read online The Fascinating World of Graph Theory in PDF and EPUB Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.
Download and read online Power Up in PDF and EPUB A fun and lively look at the mathematical ideas concealed in video games Did you know that every time you pick up the controller to your PlayStation or Xbox, you are entering a game world steeped in mathematics? Power-Up reveals the hidden mathematics in many of today's most popular video games and explains why mathematical learning doesn't just happen in the classroom or from books—you're doing it without even realizing it when you play games on your cell phone. In this lively and entertaining book, Matthew Lane discusses how gamers are engaging with the traveling salesman problem when they play Assassin's Creed, why it is mathematically impossible for Mario to jump through the Mushroom Kingdom in Super Mario Bros., and how The Sims teaches us the mathematical costs of maintaining relationships. He looks at mathematical pursuit problems in classic games like Missile Command and Ms. Pac-Man, and how each time you play Tetris, you're grappling with one of the most famous unsolved problems in all of mathematics and computer science. Along the way, Lane discusses why Family Feud and Pictionary make for ho-hum video games, how realism in video games (or the lack of it) influences learning, what video games can teach us about the mathematics of voting, the mathematics of designing video games, and much more. Power-Up shows how the world of video games is an unexpectedly rich medium for learning about the beautiful mathematical ideas that touch all aspects of our lives—including our virtual ones.
Download and read online Deterministic Operations Research in PDF and EPUB Uniquely blends mathematical theory and algorithm design for understanding and modeling real-world problems Optimization modeling and algorithms are key components to problem-solving across various fields of research, from operations research and mathematics to computer science and engineering. Addressing the importance of the algorithm design process. Deterministic Operations Research focuses on the design of solution methods for both continuous and discrete linear optimization problems. The result is a clear-cut resource for understanding three cornerstones of deterministic operations research: modeling real-world problems as linear optimization problem; designing the necessary algorithms to solve these problems; and using mathematical theory to justify algorithmic development. Treating real-world examples as mathematical problems, the author begins with an introduction to operations research and optimization modeling that includes applications form sports scheduling an the airline industry. Subsequent chapters discuss algorithm design for continuous linear optimization problems, covering topics such as convexity. Farkas’ Lemma, and the study of polyhedral before culminating in a discussion of the Simplex Method. The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method. Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm. The final chapters present network optimization and integer programming problems, highlighting various specialized topics including label-correcting algorithms for the shortest path problem, preprocessing and probing in integer programming, lifting of valid inequalities, and branch and cut algorithms. Concepts and approaches are introduced by outlining examples that demonstrate and motivate theoretical concepts. The accessible presentation of advanced ideas makes core aspects easy to understand and encourages readers to understand how to think about the problem, not just what to think. Relevant historical summaries can be found throughout the book, and each chapter is designed as the continuation of the “story” of how to both model and solve optimization problems by using the specific problems-linear and integer programs-as guides. The book’s various examples are accompanied by the appropriate models and calculations, and a related Web site features these models along with Maple™ and MATLAB® content for the discussed calculations. Thoroughly class-tested to ensure a straightforward, hands-on approach, Deterministic Operations Research is an excellent book for operations research of linear optimization courses at the upper-undergraduate and graduate levels. It also serves as an insightful reference for individuals working in the fields of mathematics, engineering, computer science, and operations research who use and design algorithms to solve problem in their everyday work.
Download and read online The Great Mathematical Problems in PDF and EPUB There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.
Download and read online A Good Day s Work in PDF and EPUB A Good Day's Work is a lyrical journey through a semi-mythological place: the Canada of our imagination. It is the Canada of the day before yesterday. Or perhaps the Canada of 1967 -- the country's "Last Good Year," as Pierre Berton dubbed it. It is a portrait of Canada captured by way of encounters with a blacksmith, a cowgirl, a milkman, a traveling salesman and other custodians of trades from another time. Woven into the always engaging, sometimes strange, sometimes moving and frequently funny interviews are the ruminations and personal reflections of that wonderful writer John DeMont (who as a newspaper reporter and columnist of a certain age is something of a vanishing tradesman himself). The iconic Canada--the country of close-knit small towns, of common geography and history, of meaningful work and communal values and institutions--is being transformed. John DeMont has gone in search of people who make their living the old way, in an attempt to distill the essence of our shared past.
Download and read online Five Equations That Changed the World in PDF and EPUB A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.
Download and read online Birth of a Salesman in PDF and EPUB Chronicles the transformation of the American salesman from an itinerant population of peddlers and canvassers in the mid-nineteenth century to professional salespeople and executives today.
Download and read online This Is Not Fame in PDF and EPUB As his legions of devoted fans (known as "termites") already know, Doug Stanhope lives in an interesting world, a "cult legend" who nonetheless commands an audience that is larger than many mainstream stars. That's because Stanhope built his career from the ground up, playing the dive-iest dives and most decrepit out-of-the-way comedy rooms you can imagine for two decades, in the process becoming a populist hero to an equally drunken fan base. This Is Not Fame is the uncensored story of how it happened, full of debauched tales from the low side of the road as related by a master comedic storyteller. In his relentless pursuit of non-fame, Stanhope has done it all, including having to hide out in Alaska from a raging state senator who was searching every bar to kick his ass for remarks made about him on the radio; scouring the frozen streets of Korea trying to procure a prostitute for a certain Fellow Comedian; taking a job doing gay phone sex just for the story (and showing up on mushrooms); being booked for a private backyard party and finding out it's for children; having Johnny Depp call and tell him he thinks he's a legend, not knowing he's standing in the rain in a Days Inn parking lot about to play a sports bar to a crowd of 65 people; pretending to be Johnny Rotten for an incompetent interviewer just so he'll stop calling; agreeing to do a stand-up gig--sober and unpaid--for the country of Iceland's worst criminals; filming his own vasectomy to boost ticket sales ahead of a tour; appearing on The Jerry Springer Show posing as a traveling salesman whose wife is leaving him for a lesbian stripper . . . and so much more (and so much worse). This book is exactly what Stanhope's fans have been waiting for: Stanhope unleashed, holding nothing back no matter how embarrassing, immoral, sordid, or compromising it may be.
Download and read online The Logician and the Engineer in PDF and EPUB Examines how mathematician and philosopher George Boole and electrical engineer Claude Shannon became the fathers of the information age by advancing Boolean logic, and looks at the influence of other factors, including the Turing machine.
Download and read online Viewpoints in PDF and EPUB An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)
Download and read online Eichmann in Jerusalem in PDF and EPUB The controversial journalistic analysis of the mentality that fostered the Holocaust, from the author of The Origins of Totalitarianism Sparking a flurry of heated debate, Hannah Arendt’s authoritative and stunning report on the trial of German Nazi leader Adolf Eichmann first appeared as a series of articles in The New Yorker in 1963. This revised edition includes material that came to light after the trial, as well as Arendt’s postscript directly addressing the controversy that arose over her account. A major journalistic triumph by an intellectual of singular influence, Eichmann in Jerusalem is as shocking as it is informative—an unflinching look at one of the most unsettling (and unsettled) issues of the twentieth century.
Download and read online Bill Cook s strategic planning for America s schools in PDF and EPUB