MARC Record from marc_nuls

LEADER: 03070cam 2200313 a 4500
001 9922068860001661
005 20150423142141.0
008 951226s1996 nyua b 001 0 eng
010 $a 95053803
015 $aGB96-80028
020 $a0195105192 (alk. paper)
035 $a(CSdNU)u61256-01national_inst
035 $a(OCoLC)34024642
035 $a(Sirsi) 01-AAG-5471
040 $aDLC$cDLC$dUKM
049 $aCNUM
050 00 $aQA37.2$b.C69 1996
100 1 $aCourant, Richard,$d1888-1972.
245 10 $aWhat is mathematics? :$ban elementary approach to ideas and methods / $cby Richard Courant and Herbert Robbins.
250 $a2nd ed. /$brevised by Ian Stewart.
260 $aNew York :$bOxford University Press,$c1996.
300 $a566 p. :$bill. ;$c23 cm.
504 $aIncludes bibliographical references (p. 549-558) and index.
505 0 $a The natural numbers. Calculation with integers -- The infinitude of the number system, mathematical induction -- The prime numbers -- Congruences -- Pythagorean numbers and Fermat's last theorem -- The Euclidean algorithm -- The number system of mathematics. The rational numbers -- Incommensurable segments, irrational numbers, and the concept of limit -- Remarks on analytic geometry -- The mathematical analysis of infinity -- Complex numbers -- Algebraic and transcendental numbers -- Geometrical constructions, the algebra of number fields. Fundamental geometrical constructions -- Constructible numbers and number fields -- The unsolvability of the three Greek problems -- Geometrical transformations, inversion -- Constructions with other tools, Mascheroni constructions with compass alone -- More about inversions and its applications -- Projective geometry, axiomatics, non-Euclidean geometries. Fundamental concepts -- Cross-ration -- Parallelism and infinity -- Applications -- Analytic representation -- Problems on constructions with the straightedge alone -- Conics and quadric surfaces -- Axiomatics and non-Euclidean geometry -- Topology. Euler's formula for polyhedra -- Topological properties of figures -- Other examples of topological theorems -- The topological classification of surfaces -- Functions and limits. Variable and function -- Limits -- Limits by continuous approach -- More examples on limits and continuity -- Maxima and minima. Problems in elementary geometry -- Schwarz's triangle problem -- Steiner's problem -- The existence of an extremum, Dirichlet's principle -- The isoperimetric problem -- The calculus. The integral -- The derivative -- Leibniz' notation and the "infinitely small" -- Orders of magnitude --Infinite series and infinite products -- Recent developments. A formula for primes -- Set-theoretic notation -- Soap films and minimal surfaces -- Nonstandard analysis.
650 0 $aMathematics.
700 1 $aRobbins, Herbert.
700 1 $aStewart, Ian,$d1945-
948 $a10/13/1999$b10/13/1999
999 $aQA 37.2 C69 1996$wLC$c1$i31786100934063$d6/24/2004$e6/26/2003 $f6/24/2004$g1$lCIRCSTACKS$mNULS$n4$rY$sY$tBOOK$u11/6/1997$o.STAFF. Pieces: 00001