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Cover: 9780387330600 | Mathematical Masterpieces | Further Chronicles by the Explorers | Buch
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Mathematical Masterpieces
Further Chronicles by the Explorers
Buch von Art Knoebel (u. a.)
Sprache: Englisch

43,95 €*

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Lieferzeit 2-3 Wochen

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Beschreibung
In introducing his essays on the study and understanding of nature and e- lution, biologist Stephen J. Gould writes: [W]e acquire a surprising source of rich and apparently limitless novelty from the primary documents of great thinkers throughout our history. But why should any nuggets, or even ?akes, be left for int- lectual miners in such terrain? Hasn¿t the Origin of Species been read untold millions of times? Hasn¿t every paragraph been subjected to overt scholarly scrutiny and exegesis? Letmeshareasecretrootedingeneralhumanfoibles. . . . Veryfew people, including authors willing to commit to paper, ever really read primary sources¿certainly not in necessary depth and completion, and often not at all. . . . I can attest that all major documents of science remain cho- full of distinctive and illuminating novelty, if only people will study them¿in full and in the original editions. Why would anyone not yearn to read these works; not hunger for the opportunity? [99, p. 6f] It is in the spirit of Gould¿s insights on an approach to science based on p- mary texts that we o?er the present book of annotated mathematical sources, from which our undergraduate students have been learning for more than a decade. Although teaching and learning with primary historical sources require a commitment of study, the investment yields the rewards of a deeper understanding of the subject, an appreciation of its details, and a glimpse into the direction research has taken. Our students read sequences of primary sources.
In introducing his essays on the study and understanding of nature and e- lution, biologist Stephen J. Gould writes: [W]e acquire a surprising source of rich and apparently limitless novelty from the primary documents of great thinkers throughout our history. But why should any nuggets, or even ?akes, be left for int- lectual miners in such terrain? Hasn¿t the Origin of Species been read untold millions of times? Hasn¿t every paragraph been subjected to overt scholarly scrutiny and exegesis? Letmeshareasecretrootedingeneralhumanfoibles. . . . Veryfew people, including authors willing to commit to paper, ever really read primary sources¿certainly not in necessary depth and completion, and often not at all. . . . I can attest that all major documents of science remain cho- full of distinctive and illuminating novelty, if only people will study them¿in full and in the original editions. Why would anyone not yearn to read these works; not hunger for the opportunity? [99, p. 6f] It is in the spirit of Gould¿s insights on an approach to science based on p- mary texts that we o?er the present book of annotated mathematical sources, from which our undergraduate students have been learning for more than a decade. Although teaching and learning with primary historical sources require a commitment of study, the investment yields the rewards of a deeper understanding of the subject, an appreciation of its details, and a glimpse into the direction research has taken. Our students read sequences of primary sources.
Zusammenfassung

This book traces the historical development of four different mathematical concepts by presenting readers with the original sources, yielding the rewards of a deeper understanding of the subject, an appreciation of the details, and a glimpse into the direction research has taken. Each chapter showcases a masterpiece of mathematical achievement, anchored around a sequence of selected primary sources. The authors begin by studying the interplay between the discrete and continuous, with a focus on sums of powers. They proceed to the development of algorithms for finding numerical solutions of equations as developed by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, with its roots in the emerging calculus of the 17th century, while the final chapter ends with an exploration of the elusive properties of prime numbers, and the patterns found therein. The book includes exercises, numerous historical photographs, and an annotated bibliography.

Inhaltsverzeichnis
The 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.
Details
Erscheinungsjahr: 2007
Fachbereich: Populäre Darstellungen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 352
Reihe: Readings in Mathematics
Inhalt: xii
340 S.
73 s/w Illustr.
2 farbige Illustr.
ISBN-13: 9780387330600
ISBN-10: 0387330607
Sprache: Englisch
Herstellernummer: 10940822
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Knoebel, Art
Pengelley, David
Lodder, Jerry
Laubenbacher, Reinhard
Auflage: 2007
Hersteller: Springer New York
Springer US, New York, N.Y.
Readings in Mathematics
Maße: 241 x 160 x 27 mm
Von/Mit: Art Knoebel (u. a.)
Erscheinungsdatum: 14.08.2007
Gewicht: 0,758 kg
preigu-id: 102154408
Zusammenfassung

This book traces the historical development of four different mathematical concepts by presenting readers with the original sources, yielding the rewards of a deeper understanding of the subject, an appreciation of the details, and a glimpse into the direction research has taken. Each chapter showcases a masterpiece of mathematical achievement, anchored around a sequence of selected primary sources. The authors begin by studying the interplay between the discrete and continuous, with a focus on sums of powers. They proceed to the development of algorithms for finding numerical solutions of equations as developed by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, with its roots in the emerging calculus of the 17th century, while the final chapter ends with an exploration of the elusive properties of prime numbers, and the patterns found therein. The book includes exercises, numerous historical photographs, and an annotated bibliography.

Inhaltsverzeichnis
The 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.
Details
Erscheinungsjahr: 2007
Fachbereich: Populäre Darstellungen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 352
Reihe: Readings in Mathematics
Inhalt: xii
340 S.
73 s/w Illustr.
2 farbige Illustr.
ISBN-13: 9780387330600
ISBN-10: 0387330607
Sprache: Englisch
Herstellernummer: 10940822
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Knoebel, Art
Pengelley, David
Lodder, Jerry
Laubenbacher, Reinhard
Auflage: 2007
Hersteller: Springer New York
Springer US, New York, N.Y.
Readings in Mathematics
Maße: 241 x 160 x 27 mm
Von/Mit: Art Knoebel (u. a.)
Erscheinungsdatum: 14.08.2007
Gewicht: 0,758 kg
preigu-id: 102154408
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