000 03304cam a2200433 i 4500
001 2013033506
003 DLC
005 20190729105431.0
008 130819t20142014njua 001 0 eng
010 _a 2013033506
020 _a9780691150994 (cloth : acidfree paper)
020 _a0691150990 (cloth : acid-free paper)
042 _apcc
040 _aDLC
_beng
_erda
_cDLC
_dDLC
_dMvI
050 0 0 _aQA447
_b.M37 2014
082 0 0 _a516
_223
084 _aMAT012000
_aMAT015000
_2bisacsh
100 1 _aMaor, Eli.
245 1 0 _aBeautiful geometry /
_cEli Maor and Eugen Jost.
264 1 _aPrinceton :
_bPrinceton University Press,
_c[2014]
264 4 _c©2014
300 _ax, 187 pages :
_billlustrations (some color) ;
_c25 cm
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
520 2 _a"If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by acclaimed math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important and beautiful branches of mathematics"--
_cProvided by publisher.
504 _aIncludes bibliographical references (pages 183-184) and index.
505 0 _aThales of Miletus -- Triangles of Equal Area -- Quadrilaterals -- Perfect Numbers and Triangular Numbers -- The Pythagorean Theorem I -- The Pythagorean Theorem II -- Pythagorean Triples -- The Square Root of 2 -- A Repertoire of Means -- More about Means -- Two Theorems from Euclid -- Different, yet the Same -- One Theorem, Three Proofs -- The Prime Numbers -- Two Prime Mysteries -- 0.999 -- Eleven -- Euclidean Constructions -- Hexagons -- Fibonacci Numbers -- The Golden Ratio -- The Pentagon -- The 17-Sided Regular Polygon -- Fifty -- Doubling the Cube -- Squaring the Circle -- Archimedes Measures the Circle -- The Digit Hunters -- Conics -- 3/3 = 4/4 -- The Harmonic Series -- Ceva's Theorem -- e -- Spira Mirabilis -- The Cycloid -- Epicycloids and Hypocycloids -- The Euler Line -- Inversion -- Steiner's Porism -- Line Designs -- The French Connection -- The Audible Made Visible -- Lissajous Figures -- Symmetry I -- Symmetry II -- The Reuleaux Triangle -- Pick's Theorem -- Morley's Theorem -- The Snowflake Curve -- Sierpinski's Triangle -- Beyond Infinity -- Appendix: Proofs of Selected Theorems Mentioned in This Book.
650 0 _aGeometry
_xHistory.
650 0 _aGeometry
_xHistory
_vPictorial works.
650 0 _aGeometry in art.
650 7 _aMATHEMATICS / Geometry / General.
_2bisacsh
650 7 _aMATHEMATICS / History & Philosophy.
_2bisacsh
700 1 _aJost, Eugen,
_d1950-
948 _au378974
949 _aQA447 .M37 2014
_wLC
_c1
_hEY8Z
_i33039001337160
596 _a1
903 _a27034
999 _c27034
_d27034