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## Summary Euler's Gem The Polyhedron Formula and the Birth of Topology

Summary Euler's Gem The Polyhedron Formula and the Birth of Topology David S. Richeson · 2 Free read Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson 50 Euler observed that any polyhedron composed of V vertices E edges and F faces satisfies the euation V E F2 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 Usi. The author praises Leonhard Euler as a great expositor but the author himself must be just as great This book made deep topological concepts accessible to the non expert probably in ways no one has done before and yet he did not shy away from proofs there are some actual rigorous proofs and some proof sketches based on visual intuition For example I feel like I understand why the Poincare Hopf theorem is true even though I did not actually do the math In addition to some serious mathematics supported by a collection of the best figures and pictures I ve seen in such a work this book is full of history biography and other interesting commentary I highly recommend this book to anyone interested in mathematics it probably should be reuired reading for students of mathematics taking their first course i

**Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson**

Summary Euler's Gem The Polyhedron Formula and the Birth of Topology David S. Richeson · 2 Free read Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson 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 17. Richeson s Euler s Gem is an excellent book It gives the historical background going back to ancient Greece for this euation regarding faces edges and vertices of polyhedra It tells us about Euler as well as than a dozen other mathematical scholars and the relationship It goes on to tell us about various proofs and then extensions of and enhancements to the euationIf this book is excellent why four rather than five stars It s because of the medium This book was brought to my attention by The Shape of Nature a lecture series by Professor Devados on DVD from The Great Courses Drawings in two space can only do so much Dynamic demonstrations in three space even though the computer screen is flat makes things so much clearerAn excellent presentation on DVD is simply better than an excellent book

### David S. Richeson · 2 Free read

Summary Euler's Gem The Polyhedron Formula and the Birth of Topology David S. Richeson · 2 Free read Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson Ng 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 uestioned refined and contributed to a remarkable theorem's development Euler's Gem will fascinate every mathematics enthusiast European Mathematical Society Newsletter. This book wasn t what I was expecting rather than a book centered on Euler s formula it s an introduction to topology with the formula as a recurring theme As such large parts of the book serve to introduce topics having little to do with the formula and which I was already familiar with I didn t find Richeson s pedestrian exposition shed much in the way of interesting new light on these topics for the most part I ended up skipping a lot because it just wasn t what I was looking for

- Hardcover
- 317
- Euler's Gem The Polyhedron Formula and the Birth of Topology
- David S. Richeson
- English
- 14 March 2018
- 9780691126777

Summary Euler's Gem The Polyhedron Formula and the Birth of Topology David S. Richeson · 2 Free read Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson I've been dreaming of higher dimensions lately and this book on topology just enthralled this fascination even Euler's Gem is really a look at one of the most famous euations you've never heardV EF2 also known as Euler's Formula This formula originally described a relationship between the faces edges and vertices of the 5 platonic Solids but actually has a deeper significance as an euation connecting the vast subtopics of topology

[PDF KINDLE] Euler's Gem The Polyhedron Formula and the Birth of Topology AUTHOR David S. Richeson Richeson's Euler's Gem is an excellent book It gives the historical background going back to ancient Greece for this euation regarding faces edges and vertices of polyhedra It tells us about Euler as well as than a dozen other mathematical scholars and the relationship It goes on to tell us about various proofs and then extensions of and enhancements to the euationIf this book is excellent why four rather than five stars? It's because of

Summary Euler's Gem The Polyhedron Formula and the Birth of Topology [PDF KINDLE] Euler's Gem The Polyhedron Formula and the Birth of Topology AUTHOR David S. Richeson David S. Richeson · 2 Free read I am or less in the middle of this book and I'm loving it It explains with simple words the relevance of the polyhedron for

Summary Euler's Gem The Polyhedron Formula and the Birth of Topology [PDF KINDLE] Euler's Gem The Polyhedron Formula and the Birth of Topology AUTHOR David S. Richeson Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson Nice topology and geometry book The proof part is especially good Would recommend this to go along with Weeks'

Summary Euler's Gem The Polyhedron Formula and the Birth of Topology David S. Richeson · 2 Free read Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson A mathematician friend recently asked me Do you think pop math books could be a good way for me to learn about other fields? He studies partial differential euationsSure I said and handed him this book Here's algebraic topologyGreat he said A

David S. Richeson · 2 Free read Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson [PDF KINDLE] Euler's Gem The Polyhedron Formula and the Birth of Topology AUTHOR David S. Richeson The author praises Leonhard Euler as a great expositor but the author himself must be just as great This book made deep topological concepts accessible to the non expert probably in ways no one has done before an

[PDF KINDLE] Euler's Gem The Polyhedron Formula and the Birth of Topology AUTHOR David S. Richeson Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson David S. Richeson · 2 Free read This book wasn't what I was expecting; rather than a book centered on Euler's formula it's an introduction to topology with the formula as a recurring theme As such large parts of the book serve to introduce topics having little to do

[PDF KINDLE] Euler's Gem The Polyhedron Formula and the Birth of Topology AUTHOR David S. Richeson This is uite an ambitious book for the author and he does a great job showing the evolution of topology from its roots in geometry graph theo

Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson [PDF KINDLE] Euler's Gem The Polyhedron Formula and the Birth of Topology AUTHOR David S. Richeson You'll be hard put to find a better written book of mathematics nor a interesting mathematical topic Gets better the math you know but well addressed to a general audience I recommend to every math major literally in my history of math course and to anyone interested in one of the most beautiful pieces of mathematics

Free read ☆ PDF, DOC, TXT, eBook or Kindle ePUB free · David S. Richeson David S. Richeson · 2 Free read Summary Euler's Gem The Polyhedron Formula and the Birth of Topology Excellent introduction to topology Much of the math was over my head but the story of how mathematics is done is superb The step by step accumu