000 02881nam a22005415i 4500
001 978-0-387-33062-4
003 DE-He213
005 20161121231121.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387330624
_9978-0-387-33062-4
024 7 _a10.1007/978-0-387-33062-4
_2doi
050 4 _aQA21-27
072 7 _aPBX
_2bicssc
072 7 _aMAT015000
_2bisacsh
082 0 4 _a510.9
_223
100 1 _aKnoebel, Arthur.
_eauthor.
245 1 0 _aMathematical Masterpieces
_h[electronic resource] :
_bFurther Chronicles by the Explorers /
_cby Arthur Knoebel, Jerry Lodder, Reinhard Laubenbacher, David Pengelley.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXII, 340 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUndergraduate Texts in Mathematics,
_x0172-6056
505 0 _aThe Bridge Between Continuous and Discrete -- Solving Equations Numerically: Finding Our Roots -- Curvature and the Notion of Space -- Patterns in Prime Numbers: The Quadratic Reciprocity Law.
520 _aExperience the discovery of mathematics by reading the original work of some of the greatest minds throughout history. Here are the stories of four mathematical adventures, including the Bernoulli numbers as the passage between discrete and continuous phenomena, the search for numerical solutions to equations throughout time, the discovery of curvature and geometric space, and the quest for patterns in prime numbers. Each story is told through the words of the pioneers of mathematical thought. Particular advantages of the historical approach include providing context to mathematical inquiry, perspective to proposed conceptual solutions, and a glimpse into the direction research has taken. The text is ideal for an undergraduate seminar, independent reading, or a capstone course, and offers a wealth of student exercises with a prerequisite of at most multivariable calculus.
650 0 _aMathematics.
650 0 _aAlgorithms.
650 0 _aDifferential geometry.
650 0 _aHistory.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aHistory of Mathematical Sciences.
650 2 4 _aAlgorithms.
650 2 4 _aDifferential Geometry.
650 2 4 _aNumber Theory.
700 1 _aLodder, Jerry.
_eauthor.
700 1 _aLaubenbacher, Reinhard.
_eauthor.
700 1 _aPengelley, David.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387330617
830 0 _aUndergraduate Texts in Mathematics,
_x0172-6056
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-33062-4
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508849
_d508849