MARC Record from harvard_bibliographic_metadata

LEADER: 04253nam a22005055a 4500
001 013841069-0
005 20131206202114.0
008 130407s2002 xxu| s ||0| 0|eng d
020 $a9781468492811
020 $a9781468492811
020 $a9781441929556
024 7 $a10.1007/978-1-4684-9281-1$2doi
035 $a(Springer)9781468492811
040 $aSpringer
050 4 $aQA21-27
072 7 $aPBX$2bicssc
072 7 $aMAT015000$2bisacsh
082 04 $a510.9$223
100 1 $aStillwell, John,$eauthor.
245 10 $aMathematics and Its History /$cby John Stillwell.
250 $aSecond Edition.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2002.
300 $aXVIII, 542p. 181 illus.$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 Theorem of Pythagoras -- Greek Geometry -- Greek Number Theory -- Infinity in Greek Mathematics -- Number Theory in Asia -- Polynomial Equations -- Analytic Geometry -- Projective Geometry -- Calculus -- Infinite Series -- The Revival of Number Theory -- Elliptic Functions -- Mechanics -- Complex Numbers in Algebra -- Complex Numbers and Curves -- Complex Numbers and Functions -- Differential Geometry -- Noneuclidean Geometry -- Group Theory -- Hypercomplex Numbers -- Algebraic Number Theory -- Topology -- Sets, Logic, and Computation -- Bibliography -- Index.
520 $aFrom the reviews of the first edition: "There are many books on the history of mathematics in which mathematics is subordinated to history. This is a book in which history is definitely subordinated to mathematics. It can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audience...we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer) "The discussion is at a deep enough level that I suspect most trained mathematicians will find much that they do not know, as well as good intuitive explanations of familiar facts.
520 $aThe careful exposition, lightness of touch, and the absence of technicalities should make the book accessible to most senior undergraduates." (American Mathematical Monthly) "...The book is a treasure, which deserves wide adoption as a text and much consultation by historians and mathematicians alike." (Physis - Revista Internazionale di Storia della Scienza) "A beautiful little book, certain to be treasured by several generations of mathematics lovers, by students and teachers so enlightened as to think of mathematics not as a forest of technical details but as the beautiful coherent creation of a richly diverse population of extraordinary people...His writing is so luminous as to engage the interest of utter novices, yet so dense with particulars as to stimulate the imagination of professionals." (Book News, Inc.) This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory.
520 $aMany more exercises have been added, as well as commentary to the exercises expalining how they relate to the preceding section, and how they foreshadow later topics. The index has been given added structure to make searching easier, the references have been redone, and hundreds of minor improvements have been made throughout the text.
650 20 $aNumber theory.
650 20 $aGeometry.
650 10 $aMathematics.
650 0 $aGlobal analysis (Mathematics)
650 0 $aMathematics.
650 0 $aGeometry.
650 0 $aNumber theory.
650 24 $aHistory of Mathematical Sciences.
650 24 $aAnalysis.
776 08 $iPrinted edition:$z9781441929556
830 0 $aUndergraduate Texts in Mathematics.
988 $a20131119
906 $0VEN