Free PDF Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson
Use the sophisticated innovation that human creates this day to discover the book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson effortlessly. However initially, we will ask you, just how much do you like to read a book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson Does it constantly till finish? Wherefore does that book check out? Well, if you actually like reading, aim to check out the Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson as one of your reading collection. If you just read guide based upon requirement at the time and also incomplete, you need to attempt to such as reading Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson initially.
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson
Free PDF Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson
Pointer in picking the most effective book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson to read this day can be gotten by reading this resource. You could find the very best book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson that is offered in this globe. Not just had the books published from this country, yet additionally the various other countries. And currently, we expect you to review Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson as one of the reading materials. This is just one of the most effective books to accumulate in this site. Check out the web page and also browse guides Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson You could discover bunches of titles of guides offered.
Reading practice will always lead individuals not to satisfied reading Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson, a publication, ten e-book, hundreds publications, as well as more. One that will make them really feel satisfied is finishing reading this e-book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson and getting the message of guides, then finding the various other following publication to read. It continues even more and also much more. The time to finish reviewing a publication Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson will certainly be constantly various depending upon spar time to spend; one example is this Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson
Now, how do you recognize where to buy this book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson Don't bother, now you may not go to the e-book store under the intense sunlight or evening to search the book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson We right here consistently help you to find hundreds sort of e-book. One of them is this publication entitled Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson You could visit the link web page supplied in this collection and also after that choose downloading and install. It will not take even more times. Simply connect to your net gain access to and you can access the publication Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson online. Naturally, after downloading Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson, you could not print it.
You could conserve the soft file of this book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson It will depend on your leisure and tasks to open up and read this e-book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson soft file. So, you could not be scared to bring this book Euler's Gem: The Polyhedron Formula And The Birth Of Topology, By David S. Richeson everywhere you go. Merely add this sot file to your gadget or computer disk to allow you read every time and also almost everywhere you have time.
Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea.
From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.
Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.
- Sales Rank: #712802 in Books
- Published on: 2012-04-15
- Original language: English
- Number of items: 1
- Dimensions: 9.10" h x .90" w x 6.00" l, 1.19 pounds
- Binding: Paperback
- 336 pages
Review
Winner of the 2010 Euler Book Prize, Mathematical Association of America
One of Choice's Outstanding Academic Titles for 2009
"The author has achieved a remarkable feat, introducing a na�ve reader to a rich history without compromising the insights and without leaving out a delicious detail. Furthermore, he describes the development of topology from a suggestion by Gottfried Leibniz to its algebraic formulation by Emmy Noether, relating all to Euler's formula. This book will be valuable to every library with patrons looking for an awe-inspiring experience."--Choice
"This is an excellent book about a great man and a timeless formula."--Charles Ashbacher, Journal of Recreational Mathematics
"I liked Richeson's style of writing. He is enthusiastic and humorous. It was a pleasure reading this book, and I recommend it to everyone who is not afraid of mathematical arguments and has ever wondered what this field of 'rubbersheet geometry' is about. You will not be disappointed."--Jeanine Daems, Mathematical Intelligencer
"The book is a pleasure to read for professional mathematicians, students of mathematicians or anyone with a general interest in mathematics."--European Mathematical Society Newsletter
"I found much more to like than to criticize in Euler's Gem. At its best, the book succeeds at showing the reader a lot of attractive mathematics with a well-chosen level of technical detail. I recommend it both to professional mathematicians and to their seatmates."--Jeremy L. Martin, Notices of the AMS
"I highly recommend this book for teachers interested in geometry or topology, particularly for university faculty. The examples, proofs, and historical anecdotes are interesting, informative, and useful for encouraging classroom discussions. Advanced students will also glimpse the broad horizons of mathematics by reading (and working through) the book."--Dustin L. Jones, Mathematics Teacher
"The book should interest non-mathematicians as well as mathematicians. It is written in a lively way, mathematical properties are explained well and several biographical details are included."--Krzysztof Ciesielski, Mathematical Reviews
From the Back Cover
"Euler's Gem is a thoroughly satisfying meditation on one of mathematics' loveliest formulas. The author begins with Euler's act of seeing what no one previously had, and returns repeatedly to the resulting formula with ever more careful emendations and ever-widening points of view. This highly nuanced narrative sweeps the reader into the cascade of interlocking ideas which undergird modern topology and lend it its power and beauty."--Donal O'Shea, author of The Poincar� Conjecture: In Search of the Shape of the Universe
"Beginning with Euler's famous polyhedron formula, continuing to modern concepts of 'rubber geometry,' and advancing all the way to the proof of Poincar�'s Conjecture, Richeson's well-written and well-illustrated book is a gentle tour de force of topology."--George G. Szpiro, author of Poincar�'s Prize: The Hundred-Year Quest to Solve One of Math's Greatest Puzzles
"A fascinating and accessible excursion through two thousand years of mathematics. From Plato's Academy, via the bridges of K�nigsberg, to the world of knots, soccer balls, and geodesic domes, the author's enthusiasm shines through. This attractive introduction to the origins of topology deserves to be widely read."--Robin Wilson, author of Four Colors Suffice: How the Map Problem Was Solved
"Appealing and accessible to a general audience, this well-organized, well-supported, and well-written book contains vast amounts of information not found elsewhere. Euler's Gem is a significant and timely contribution to the field."--Edward Sandifer, Western Connecticut State University
"Euler's Gem is a very good book. It succeeds in explaining complicated concepts in engaging layman's terms. Richeson is keenly aware of where the difficult twists and turns are located, and he covers them to satisfaction. This book is engaging and a joy to read."--Alejandro L�pez-Ortiz, University of Waterloo
About the Author
David S. Richeson is associate professor of mathematics at Dickinson College.
Most helpful customer reviews
79 of 81 people found the following review helpful.
More Evidence that Mathematics Is Beautiful
By Gene B. Chase
If you want a popularized book-length treatment of string theory, you have two kinds of choices. Brian Greene uses no equations, save in an occasional endnote. Roger Penrose uses 1136 equation-filled pages to teach you all of mathematics you would need to know--although far too fast for anyone to learn it from Penrose alone. There is not much between Greene and Penrose.
If you wanted a popularized book-length treatment of topology before Dave Richeson's Euler's Gem: The Polyhderal Formula and the Birth of Topology, you had no choice at all.
This is a risky thing that Richeson attempts. Ian Stewart's 2007 book Why Beauty is Truth: The History of Symmetry cites the "conventional wisdom in science writing that every equation halves a book's sales." (34) On this basis, Richeson's book should have only
one ten billionth of the sales of other books popularizing science. Yet Richeson pulls it off with a well-written, nicely illustrated book surveying the history of topology from Plato to Poincar� to Perelman.
Richeson's book is accessible to an academically minded high school student, yet has something to offer the professional mathematican who happens not to be a topologist.
There are no typos in the book. There is a useful, although not comprehensive index. (Richeson mentions flexible polyhedra -- see mathworld.wolfram.com/FlexiblePolyhedron.html -- for example, but the index doesn't.) The only slight confusion that I encountered is at page 157, which says that we have seen V-E+F = 2-2g before. We have not. However, on page 148, we saw V-E+F = 2 - 2T + P + 2C, so let P = C = 0 and rename T as g, and all is clear.
Richeson's book ends on the theme of beauty, and well it should. It's a beautiful book! I bought three as Christmas presents for friends. You should buy one too.
22 of 24 people found the following review helpful.
Very Good, But Challenging
By A Customer
Euler's Gem is a fascinating & well written book. However, it is also a pretty challenging read, one can not really sit back & read it straight through. But this is also what mathematics & learning is all about, as you often have to stop, re-read, & think a bit about what is being said. The claim is made that someone with only high school mathematics could read the book, & while this is probably true, it would be a steep climb. Especially as one progresses further & further into the book, many references are made to calculus, differential equations, & other related ideas, which the author does a fantastic job of explaining the ideas to people that never had the courses, but in the end it really would help the reader to have that knowledge beforehand.
What makes this a five star book is that it is so rich in knowledge. The average person won't be able to read it in a week, but if you're willing to put the time into the book, you'll get a lot of out it as it really is a great introduction to topology. Even if you can't pick up all the concepts, you're sure to be able to pick up many of the neat tricks the author points out, such as the wedding ring knot, coloring map problem, etc. Overall, one of the best books I've ever read, & one day I'll probably have to re-read it again because it's just so rich & packed with knowledge.
27 of 31 people found the following review helpful.
I thoroughly enjoyed this book.
By Dave
I really enjoyed this book. I found that the David Richeson's writing style made this topic very accessible. I thought that there was just the right balance of history and math. Having little experience with topology, learned a lot about it. I was really astounded at some of the unexpected connections between "Euler's Gem" and different branches of math.
Lots of fun!
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson PDF
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson EPub
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson Doc
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson iBooks
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson rtf
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson Mobipocket
Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson Kindle
Tidak ada komentar:
Posting Komentar