02775nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137040000900172082001400181100003000195245017000225264004600395300002100441336002600462337002600488338003900514347002400553490005100577505019700628520088900825650001701714650001601731650003401747650003401781650001901815650001701834650002801851650001601879650002701895650001901922700002801941700003701969700003102006710003402037773002002071776003602091830005102127856010302178978-0-387-33062-4DE-He21320260521091903.0cr nn 008mamaa100301s2007 xxu| s |||| 0|eng d a9780387330624 a997803873306247 a10.1007/978-0-387-33062-42doi cCICY04a510.92231 aKnoebel, Arthur.eauthor.10aMathematical Masterpiecesh[recurso electrónico] :bFurther Chronicles by the Explorers /cby Arthur Knoebel, Jerry Lodder, Reinhard Laubenbacher, David Pengelley. 1aNew York, NY :bSpringer New York,c2007. bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia arecurso en líneabcr2rdacarrier atext filebPDF2rda1 aUndergraduate Texts in Mathematics,x0172-60560 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. 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. 0aMATHEMATICS. 0aALGORITHMS. 0aGLOBAL DIFFERENTIAL GEOMETRY. 0aMATHEMATICS_{DOLLAR}XHISTORY. 0aNUMBER THEORY.14aMATHEMATICS.24aHISTORY OF MATHEMATICS.24aALGORITHMS.24aDIFFERENTIAL GEOMETRY.24aNUMBER THEORY.1 aLodder, Jerry.eauthor.1 aLaubenbacher, Reinhard.eauthor.1 aPengelley, David.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387330617 0aUndergraduate Texts in Mathematics,x0172-605640uhttp://dx.doi.org/10.1007/978-0-387-33062-4zVer el texto completo en las instalaciones del CICY