Q.E.D. : beauty in mathematical proof by Polster, Burkard instant download

Q.E.D. : beauty in mathematical proof by Polster, Burkard instant download

vi, 58 pages : 18 cm, Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon, Introduction -- Treacherous truth -- Pythagoras's theorem -- Plane and -- From pie to -- Cavalieri's principle -- Cavalier cone carving -- A frustrating frustum -- Archimedes' theorem -- Inside out -- Mathematical dominoes -- Infinite -- Circling the cycloid -- Slicing cones -- Folding -- Knotting polygons -- Cutting squares -- Power sums -- Never-ending primes -- Nature of numbers -- Golden ratio -- Numbers of nature -- Ruler's formula -- Possible impossibilities -- Appendix I: One theorem, many proofs -- Appendix II: All for one and one for all -- Appendix III: Looks can be deceiving -- Appendix IV: Triangles of generality -- Appendix V: Polytopes of analogy