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The art of Gandhara - In the metropolitan museum of art | Metropolitan Museum of Art (New York, N.Y.), Kurt A. Behrendt usato Arte Antica

Fibonacci's Liber Abaci - A Translation into Modern English of Leonardo Pisano's Book of Calculation | Laurence Sigler usato Scienze Matematica e

Fibonacci's Liber Abaci - A Translation into Modern English of Leonardo Pisano's Book of Calculation | Laurence Sigler usato Scienze Matematica e

First published in 1202, Fibonacci's Liber abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. Its author, Leonardo Pisano, known today as Fibonacci, was a citizen of Pisa, an active maritime power, with trading outposts on the Barbary Coast and other points in the Muslim Empire. As a youth, Fibonacci was instructed in mathematics in one of these outposts; he continued his study of mathematics while traveling extensively on business and developed contacts with scientists throughout the Mediterranean world. A member of the academic court around the Emperor Frederick II, Leonardo saw clearly the advantages for both commerce and scholarship of the Hindu positional number system and the algebraic methods developed by al-Khwarizmi and other Muslim scientists. Though it is known as an introduction to the Hindu number system and the algorithms of arithmetic that children now learn in grade school, "Liber abaci" is much more: an encyclopaedia of thirteenth-century mathematics, both theoretical and practical. It develops the tools rigorously, establishing them with Euclidean geometric proofs, and then shows how to apply them to all kinds of situations in business and trade - conversion of measures and currency, allocations of profit, computation of interest, alloying of currencies, and so forth. It is rigorous mathematics, well applied, and vividly described. As the first translation into a modern language of the "Liber abaci", this book will be of interest not only to historians of science, but to all mathematicians and mathematics teachers interested in the origins of their methods.

EUR 60.00
1

Zillij - The art of moroccan ceramics | John Hedgecoe, Salmá Samar Damlūjī usato Arte Antiquariato

Skate and Destroy - The first 25 years of Thrasher magazine | AA.VV. usato Manualistica Sport

The Geometry of Four-Manifolds | Simon Kirwan Donaldson, S. K. Donaldson, P. B. Kronheimer usato Scienze Matematica e Ingegneria

The Geometry of Four-Manifolds | Simon Kirwan Donaldson, S. K. Donaldson, P. B. Kronheimer usato Scienze Matematica e Ingegneria

This book provides the first lucid and accessible account to the modern study of the geometry of four-manifolds. It has become required reading for postgraduates and research workers whose research touches on this topic. Pre-requisites are a firm grounding in differential topology, andgeometry as may be gained from the first year of a graduate course. The subject matter of this book is the most significant breakthrough in mathematics of the last fifty years, and Professor Donaldson won a Fields medal for his work in the area. The authors start from the standpoint that thefundamental group and intersection form of a four-manifold provides information about its homology and characteristic classes, but little of its differential topology. It turns out that the classification up to diffeomorphism of four-manifolds is very different from the classification of unimodularforms and that the study of this question leads naturally to the new Donaldson invariants of four-manifolds. A central theme of this book is that the appropriate geometrical tools for investigating these questions come from mathematical physics: the Yang-Mills theory and anti-self dual connectionsover four-manifolds. One of the many consquences of this theory is that 'exotic' smooth manifolds exist which are homeomorphic but not diffeomorphic to (4, and that large classes of forms cannot be realized as intersection forms whereas distinct manifolds may share the same form. These result havehad far-reaching consequences in algebraic geometry, topology, and mathematical physics, and will continue to be a mainspring of mathematical research for years to come.

EUR 95.00
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Icons. Masterpieces of Russian Art - 16th-19th centuries | Olga A. Polyakova usato Arte Antiquariato