Buch, Englisch, 340 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 758 g
Further Chronicles by the Explorers
Buch, Englisch, 340 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 758 g
Reihe: Undergraduate Texts in Mathematics
ISBN: 978-0-387-33060-0
Verlag: Springer
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.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Informatik
- Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
- Mathematik | Informatik Mathematik Algebra Zahlentheorie
- Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
Weitere Infos & Material
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.
