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In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation
 
 
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In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation [Hardcover]

William J. Cook

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Review

Fascinating . . . describes the history, personalities, challenges, applications and techniques used to find solutions of the famous 'Traveling Salesman Problem' and related problems. -- Pradeep Mutalik, Wordplay blog at "New York Times

The Traveling Salesman Problem, or TSP, might seem to be of purely recreational interest . . . but in fact, as William J. Cook's In Pursuit of the Traveling Salesman ably shows, the problem remains a topic of hot interest. . . . [This book is] an excellent place for an interested amateur to get the gist of these big ideas in a down-to-earth discussion. . . . Mr. Cook's affable style means that you're never too far from an enjoyable historical anecdote or an offbeat application of a problem that has interested some of the best minds in applied math for most of a century and that shows no signs of getting stale. -- Jordan Ellenberg, Wall Street Journal

The author, William Cook, writes in an easy to understand style and explores the various algorithms and branches of mathematics used to solve TSP, including the branch of mathematics known as linear programming, which is known to most of us through grade school algebra and word problems. . . . In Pursuit of the Traveling Salesman is a thoroughly entertaining nerd-fest for the science minded reader. -- Robert Schaefer, New York Journal of Books

Along with a heady dose of algorithms, Cook also offers a diverting survey of the lore and history of the TSP. . . . The new volume addresses a wider audience [than The Traveling Salesman Problem: A Computational Study], with more pictures and fewer equations, explaining how things are done rather than how to do them, but it covers all the same territory as the larger book. The path through that territory seems reasonably close to optimal. -- Brian Hayes, American Scientist

In Pursuit of the Traveling Salesman is a first-hand and a first-class introduction into the evolution of TSP, with chapters devoted to related mathematics and algorithmic topics. TSP is really at the heart of much of the research and development of modern computer science, so the author leads the reader through the past and emerging landscape of relevant research up to the very end of the mapped territory. Reading the book looks like an exciting adventure, with the itinerary mapped for the reader by a master story-teller whose work squarely places him in the forefront of the TSP research. -- Alexander Bogomolny, Cut the Knot Insights blog

Bill takes his readers down a beautiful path covering the history, applications, and algorithms associated with the TSP. It is a fascinating story, and one that shows a researcher who truly loves his research area. . . . Through this book, you'll learn all about the Traveling Salesman Problem and, more broadly, about the different research directions in combinatorial optimization. -- Michael Trick's Operations Research Blog

In his new book, aptly titled In Pursuit of the Traveling Salesman, William Cook enlists us to join him on a personal journey through all-things past and present regarding this mammoth of a mathematical problem. . . . I would highly recommend this book to interested readers and high school mathematics teachers, especially those of upper-level coursework. A great deal of mathematics is covered here and the TSP can easily spark debate and inquiry in the classroom. -- Christopher Thompson, Loci: Convergence

In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation, does a wonderful job presenting the history and significance of the TSP and an overview of cutting-edge research. It's a beautiful, visually rich book, full of color photographs and diagrams that enliven both the narrative and mathematical presentation. And it includes a wealth of information. -- "Math Less Traveled

Review

Fascinating ... describes the history, personalities, challenges, applications and techniques used to find solutions of the famous 'Traveling Salesman Problem' and related problems. -- Pradeep Mutalik, Wordplay blog at "New York Times The Traveling Salesman Problem, or TSP, might seem to be of purely recreational interest ... but in fact, as William J. Cook's In Pursuit of the Traveling Salesman ably shows, the problem remains a topic of hot interest... [This book is] an excellent place for an interested amateur to get the gist of these big ideas in a down-to-earth discussion... Mr. Cook's affable style means that you're never too far from an enjoyable historical anecdote or an offbeat application of a problem that has interested some of the best minds in applied math for most of a century and that shows no signs of getting stale. -- Jordan Ellenberg, Wall Street Journal The author, William Cook, writes in an easy to understand style and explores the various algorithms and branches of mathematics used to solve TSP, including the branch of mathematics known as linear programming, which is known to most of us through grade school algebra and word problems... In Pursuit of the Traveling Salesman is a thoroughly entertaining nerd-fest for the science minded reader. -- Robert Schaefer, New York Journal of Books Along with a heady dose of algorithms, Cook also offers a diverting survey of the lore and history of the TSP... The new volume addresses a wider audience [than The Traveling Salesman Problem: A Computational Study], with more pictures and fewer equations, explaining how things are done rather than how to do them, but it covers all the same territory as the larger book. The path through that territory seems reasonably close to optimal. -- Brian Hayes, American Scientist In Pursuit of the Traveling Salesman is a first-hand and a first-class introduction into the evolution of TSP, with chapters devoted to related mathematics and algorithmic topics. TSP is really at the heart of much of the research and development of modern computer science, so the author leads the reader through the past and emerging landscape of relevant research up to the very end of the mapped territory. Reading the book looks like an exciting adventure, with the itinerary mapped for the reader by a master story-teller whose work squarely places him in the forefront of the TSP research. -- Alexander Bogomolny, Cut the Knot Insights blog Bill takes his readers down a beautiful path covering the history, applications, and algorithms associated with the TSP. It is a fascinating story, and one that shows a researcher who truly loves his research area... Through this book, you'll learn all about the Traveling Salesman Problem and, more broadly, about the different research directions in combinatorial optimization. -- Michael Trick's Operations Research Blog In his new book, aptly titled In Pursuit of the Traveling Salesman, William Cook enlists us to join him on a personal journey through all-things past and present regarding this mammoth of a mathematical problem... I would highly recommend this book to interested readers and high school mathematics teachers, especially those of upper-level coursework. A great deal of mathematics is covered here and the TSP can easily spark debate and inquiry in the classroom. -- Christopher Thompson, Loci: Convergence In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation, does a wonderful job presenting the history and significance of the TSP and an overview of cutting-edge research. It's a beautiful, visually rich book, full of color photographs and diagrams that enliven both the narrative and mathematical presentation. And it includes a wealth of information. -- "Math Less Traveled

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Amazon.com:  4 reviews
17 of 18 people found the following review helpful
Loving the Traveling Salesman Problem 14 Jan 2012
By Michael Trick - Published on Amazon.com
Format:Hardcover
The Traveling Salesman Problem is remarkable easy to state: given a set of points with distances between them, find the shortest tour through all the points. Despite its simple statement, the problem of finding good or optimal tours has generated thousands of research papers. The TSP is the standard testbed for discrete optimization: practically every possible approach to optimization can be tried out on the TSP. So research on the TSP has had a tremendous effect on approaches for all sorts of other optimization problems. This paper covers every aspect of this research corpus.

The author is the world's expert on this topic, and is clearly enraptured with this problem. His affection shows through his naming of his favorite heuristic, favorite computational model, and more. The book is wide-ranging and thorough and is written in a consistently engaging, conversational style, even when going very deep into the research literature.

This is not a research book, but it is a book about research. Through the TSP, Cook describes how research is done in a wide variety of subfields. The book requires some concentration but is accessible to any mathematically-inclined college student or bright high school student. For many, it will inspire further interest in algorithms and research.
11 of 12 people found the following review helpful
One of the best recreational math books 31 Jan 2012
By Ed Pegg - Published on Amazon.com
Format:Hardcover
I have a few thousand books on recreational mathematics, so it's always fun to find a true gem that is superbly researched, well-illustrated, and well-written. IPotTS:MatLoC is one of those rare books.

When I was a boy, it was a few well-illustrated math books that drew me in. I didn't really understand some of the things in the books, but I wanted to. Then in fifth grade, I was taught about plotting a point, and suddenly the odd graphs in the books made sense.

Various websites such as the Wolfram demonstrations project have dozens of ready-to-run programs dealing with the Traveling Salesman Problem. You have 20 or so cities, and you must plot the ideal route that goes through them all. The authors thorough discuss all the ins and outs of the problem, which is still unsolved. There are many excellent ways to get a really good solution for a given set of 100 random points, but proving that the best solution has been found, by checking all tours, is currently computationally impossible above some number of points.

There is a lot of material in here approachable by anyone. Fun facts, such as a competition for finding the optimal way to drill 318 holes in a circuit board. In the description are the names of the mathematicians and methods, then it's on to the next fun fact. It mentions that the cutting plane algorithm was used, which is wonderfully explained in another chapter.

Highly recommended.

As Marion Harris says in the Left All Alone Again Blues:
No woman knows, if she has a travelin' husband
Just where he goes
Unless she follows on and nails him, trails him ...
5 of 8 people found the following review helpful
Beware the Kindle Version: The Illustrations Are Atrocious, the Navigation, Very Difficult 23 Mar 2012
By Jeff - Published on Amazon.com
Format:Hardcover|Amazon Verified Purchase
This may be an authentically five-star book; my math skills make it difficult to follow the argument, so my opinion counts for little regarding content.
The illustrations come through ugly. The poor quality detracts, for me, in a big way.
The book is annoying to navigate. I haven't discovered how to return to where I left off after reading a footnote. This has never before happened to me with a Kindle book.

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