The aim of this book is to provide a complete history of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious and sometimes the silliest aspects of mathematics, and a suprising amount of the most important mathematics and mathematicians have contributed to its unfolding. Mathematicians and historians of mathematics will find this book indespensable.
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
38
38 s/w Abbildungen
XIX, 716 p. 38 illus.
Dateigröße
ISBN-13
978-1-4757-2736-4 (9781475727364)
DOI
10.1007/978-1-4757-2736-4
Schweitzer Klassifikation
Preface. Acknowledgements. Introduction. 1: The Rhind Mathematical Papyrus-Problem 50. 2: Engles. Quadrature of the Circle in Ancient Egypt. 3: Archimedes. Measurement of a Circle. 4: Phillips. Archimedes the Numerical Analyst. 5: Lam & Ang. Circle Measurements in Ancient China. 6: The Banu Musa: The Measurement of Plane and Solid Figures. 7: Madhava's. The Power Series for Arctan and Pi. 8: Hope-Jones. Ludolph van Ceulen. 9: Viete. Variorum de Revus Mathematicis Reponsorum Liber VII. 10: Wallis. Computation of Pi by Successive Interpolations. 11: Wallis. Arithmetica Infinitorum. 12: Huygens. De Circuli Magnitudine Inventa. 13: Gregory. Correspondence with John Collins. 15: Jones. The First Use of Pi for the Circle Ratio. 16: Newton. Of The Method of Fluxions and Infinite Series. 17: Euler. Chapter 10 of Introduction to Analysis of the Infinite. 18: Lambert. Memoire Sur Quelques Proprietes Remarquables Des Quantites Transcendentes Circulaires et Logarithmiques. 19: Lambert. Irrationality of Pi. 20: Shanks. Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals. 21: Hermite. Sur La Fonction Exponentielle. 22: Lindemann.
