# Free ↠ Famous Problems of Geometry and How to Solve Them (Dover Books on Mathematics) eBook: Benjamin Bold: Amazon.co.uk: Kindle Store By Benjamin Bold – Tactical-player.co.uk

Such a wealth of information in a very small book and with pedagogic exercises pawing the way An amazing presentation of what can and what can t be made with traditional and elaborate methods Overwhelming but also demanding the book is dense and some intermediate equations are omitted not easy reading But very satisfying and complete I definitely recommend this small book great book. excellent technical book Ok book presentation could be improved. I have just had my first look at this book It s a slim and dense volume, packed with maths, but not quite what I was expecting It s about constructability and existence theorems than some of the problems that I was expecting to see Circles of Apollonius, Simpson s Line and other geometrical problems, for example.Instead, a typical problem is stated in algebraic form rather than geometrical e.g Prove that 1 4 1 16 1 64 1 3 A reading of the relevant chapter ofWhat is Mathematics An Elementary Approach to Ideas and Methods Oxford paperbacks for example would help you understand the relationship between geometrical constructions and fields, and this book would extend your knowledge if you wished.In summary, a good book on the topic, but the topic is not necessarily what you may be expecting from the title. It Took Two Millennia To Prove The Impossible That Is, To Prove It Is Not Possible To Solve Some Famous Greek Problems In The Greek Way Using Only Straight Edge And Compasses In The Process Of Trying To Square The Circle, Trisect The Angle And Duplicate The Cube, Other Mathematical Discoveries Were Made For These Seemingly Trivial Diversions Occupied Some Of History S Great Mathematical Minds Why Did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes Among So Many Devote Themselves To These Conundrums This Book Brings Readers Actively Into Historical And Modern Procedures For Working The Problems, And Into The New Mathematics That Had To Be Invented Before They Could Be SolvedThe Quest For The Circle In The Square, The Trisected Angle, Duplicated Cube And Other Straight Edge Compass Constructions May Be Conveniently Divided Into Three Periods From The Greeks, To Seventeenth Century Calculus And Analytic Geometry, To Nineteenth Century Sophistication In Irrational And Transcendental Numbers Mathematics Teacher Benjamin Bold Devotes A Chapter To Each Problem, With Additional Chapters On Complex Numbers And Analytic Criteria For Constructability The Author Guides Amateur Straight Edge Puzzlists Into These Fascinating Complexities With Commentary And Sets Of Problems After Each Chapter Some Knowledge Of Calculus Will Enable Readers To Follow The Problems Full Solutions Are Given At The End Of The BookStudents Of Mathematics And Geometry, Anyone Who Would Like To Challenge The Greeks At Their Own Game And Simultaneously Delve Into The Development Of Modern Mathematics, Will Appreciate This Book Find Out How Gauss Decided To Make Mathematics His Life Work Upon Waking One Morning With A Vision Of A Sided Polygon In His Head Discover The Crucial Significance Of Ei , One Of The Most Amazing Formulas In All Of Mathematics These Famous Problems, Clearly Explicated And Diagrammed, Will Amaze And Edify Curious Students And Math Connoisseurs

## About the Author: Benjamin Bold

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