Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas [Hardcover]

Edward B. Burger (Author), Michael Starbird (Author)

Book Description

ISBN-10: 0393059456 | ISBN-13: 978-0393059458 | Publication Date: August 29, 2005

By starting in the familiar world and using a few simple steps of imagination, Edward B. Burger and Michael Starbird sneak up on weighty mathematical ideas. The spirals on a pineapple quickly lead to the famous Fibonacci numbers and the alluring Golden Ratio, and from there to aesthetic forms in nature, art and music. The edge of a twisted strip of paper leads to an image of the shape of the universe. Playing with the notion of probability shows that surprising coincidences such as the amazing parallels between the Lincoln and Kennedy assassinations are sure to happen. These and other foreign and familiar mysteries are all explained with great humour and clarity in this irreverent, entertaining and readable book.

Editorial Reviews

From Booklist

As if they were comedy-club stand-ups, Burger and Starbird employ puns and silly scenarios to tickle those who wouldn't ordinarily pick up a math book. Everyone, however fearful of the topic, uses math in daily life. Two popular fixations with numbers that the authors home in on include the amazing similarities between John Kennedy and Abraham Lincoln and playing the lottery. Describing the easy math beneath superficially wondrous things, often no more complicated than enumeration and arithmetic, Burger and Starbird dispel the astounding to reveal what a little logical rigor can do, and they use their schtick to keep things light. Avoiding alarming announcements, they never charge headlong into a topic such as the Golden Ratio, but circumscribe it by counting swirls on pineapples and noting the ratio's frequent appearance in nature and in art. Likewise, Burger and Starbird don't bludgeon readers with number theory, geometry, or topology; they take up origami or spin a yarn about a tsetse fly. A profusely illustrated, bemusingly unorthodox introduction to math. Gilbert Taylor
Copyright © American Library Association. All rights reserved

Review

Informative, intelligent, and refreshingly irreverent. A roller-coaster ride along the frontiers of today's mathematics. I enjoyed it immensely. -- Ian Stewart, author of Flatterland

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Product Details

• Hardcover: 288 pages
• Publisher: W. W. Norton & Company (August 29, 2005)
• Language: English
• ISBN-10: 0393059456
• ISBN-13: 978-0393059458
• Product Dimensions: 9.2 x 6 x 1.1 inches
• Shipping Weight: 1.2 pounds
• Average Customer Review: 4.4 out of 5 stars  See all reviews (23 customer reviews)
• Amazon Best Sellers Rank: #755,306 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

45 of 48 people found the following review helpful:

4.0 out of 5 stars A great introduction to lots of topics!, August 27, 2005

By 

Darren Glass (Gettysburg, PA) - See all my reviews
(REAL NAME)   

This review is from: Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas (Hardcover)

This book is full of very lively and engaging explanations of a wide range of mathematics. The book consists of four parts, each of which is subdivided into three chapters. The first part is on "Understanding Uncertainty" and covers topics related to chaos, coincidences, and statistics. The second part, "Embracing Figures", deals with cryptography and patterns and has an especially nice section on `sizing up numbers' which deals with orders of magnitude and topics which should be a part of anybody's quantitative literacy. "Exploring Aesthetics" is the subject of the third part, which includes discussions of fractals and chaos and a nice introduction to the coffee cups and doughnuts of topology. They also discuss Mobius Bands and Klein Bottles, which lead nicely into the final section, which is entitled "Transcending Reality", and deals with the fourth dimension and various notions of infinity.

That is a large number of topics to cover in 288 pages, and doing a little division will tell you that many topics are treated extremely briefly. And that would probably be many readers' main criticism of the book: while it certainly gives a sampling platter of a large number of ideas throughout mathematics, it does not give you an entire meal of any of them, and before you are even done chewing one bite, the authors bring you the next topic served on a platter. While I certainly understand, and to some extent agree with, this criticism, I think that many readers will prefer their mathematics served this way, and it certainly will open the door for many of them to explore these ideas further.

Burger and Starbird take the subtitle of their book - "Making Light Out Of Weighty Matters" - quite seriously, and their exposition is filled with jokes and asides ranging from the corny to the extremely corny. I found the writing style to be fun, and I think that it would help bring in many readers who would be turned off by a more serious approach to exposition.

On the whole I think the authors succeed in their goal remarkably well: readers with little or no mathematical background will walk away from the book having learned a little bit about a lot of different mathematical topics. Hopefully, they also will have their appetites whetted for further - and deeper - learning and they will find some of the other popular math books populating their bookstore's shelves to satisfy this hunger. Most importantly, any reader of Burger and Starbird's book will realize that mathematics is a far more creative and exciting field than they may have gathered from their prior courses and experiences.

15 of 15 people found the following review helpful:

5.0 out of 5 stars Interesting, funny, accessible approach to some of math's weightier concepts, November 19, 2005

By 

Magic Man (Brigadoon) - See all my reviews
(VINE VOICE)   

This review is from: Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas (Hardcover)

Math can be beautiful; math can be fun. While I caught glimpses of these truths occasionally in the course of my formal education, I never really saw the light. With Burger and Starbird's delightful book, it feels like I'm staring at the sun. In their closing thoughts, they write, "Mathematics is a liberating entertainment"; and at that point, they've proven it.

The authors show us the beauty of math in quotidian objects: the number of spirals on a pineapple or in the center of a sunflower, for example, are almost always the same and always follow a particular mathematical sequence known as a Fibonacci sequence. That sequence leads us to a geometric concept known as the Golden Rectangle, which they show has been embraced by various artists and architects in paintings and buildings. There is math in beauty and there is beauty in math.

They take us on a tour of topology (an advanced region of mathematics) with friendly, informal examples such as how to remove your undies without removing your trousers. And they teach us how a simple math concept can underlie extraordinarily difficult to crack codes. They lead us into the fourth dimension and on to infinity (and then on to another infinity that's even bigger than infinity)!

The most impressive aspect of this book is that, despite the heady nature of the material, the authors relentlessly make it fun. The book is filled with both humor and clever, helpful drawings. This accessible book can remind us all that math leads into exciting territory.

16 of 17 people found the following review helpful:

5.0 out of 5 stars Amazing read... finally, math is shown to be entertaining!, November 29, 2005

By 

Rick Peterson (San Jose, CA USA) - See all my reviews

This review is from: Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas (Hardcover)

I just finished reading this book. I have to admit I was a math-fan before the read, but this book brought out all that is good in math and much more. It is the first book that explains really big ideas in mathematics without any fancy math symbols (in fact, I don't think I saw one equation in the entire book!). It really is written for the general public and I feel that anyone who picks it up will love it and will not put it down.

Now I do know some math, so I have to say that the comments of Kyle Williams that I read today are a bit strange. The sections he refers to explain well-understood and well-established mathematical ideas that have been written in very original ways. It really is correct. Honestly, I know I'll reread the book--it's really funny... I can't believe I laughed out loud a few times while reading it! You'll love it!