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Fibonacci¿s Liber Abaci
A Translation into Modern English of Leonardo Pisano¿s Book of Calculation
Taschenbuch von Laurence Sigler
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

"Leonardo of Pisa's Liber Abaci (Book of Calculation) is one of the most important books in the history of European mathematics. Leonardo learned his mathematics from the Islamic mathematical tradition (some have even argued that he should be considered part of that tradition), but he wrote his books in Latin. As a result, he became one of the most important mediators of that tradition to European readers ... here it is at last, the Liber Abaci in English. It is now possible for mathematicians who are interested in history to read it, and for students to read portions of it in their history courses ... [Leonardo] was a great mathematician, and here is an accessible and readable edition of his most famous book. Don't miss the opportunity to get a copy." -MAA Online

Inhaltsverzeichnis
I Introduction.- I Introduction.- II Liber Abaci.- 1 Here Begins the First Chapter.- 2 On the Multiplication of Whole Numbers.- 3 On the Addition of Whole Numbers.- 4 On the Subtraction of Lesser Numbers from Greater Numbers.- 5 On the Divisions of Integral Numbers.- 6 On the Multiplication of Integral Numbers with Fractions.- 7 On the Addition and Subtraction and Division Of Numbers with Fractions and the Reduction of Several Parts to a Single Part.- 8 On Finding The Value of Merchandise by the Principal Method.- 9 On the Barter of Merchandise and Similar Things.- 10 On Companies and Their Members.- 11 On the Alloying of Monies.- 12 Here Begins Chapter Twelve.- 13 On the Method Elchataym and How with It Nearly All Problems of Mathematics Are Solved.- 14 On Finding Square and Cubic Roots, and on the Multiplication, Division, and Subtraction of Them, and On the Treatment of Binomials and Apotomes and their Roots.- 15 On Pertinent Geometric Rules And on Problems of Algebra and Almuchabala.- 16 Notes for Liber abaci.- 17 Bibliography.
Details
Erscheinungsjahr: 2003
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Seiten: 648
Reihe: Sources and Studies in the History of Mathematics and Physical Sciences
Inhalt: viii
638 S.
ISBN-13: 9780387407371
ISBN-10: 0387407375
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Sigler, Laurence
Auflage: 2002
Hersteller: Springer New York
Springer US, New York, N.Y.
Sources and Studies in the History of Mathematics and Physical Sciences
Maße: 235 x 178 x 35 mm
Von/Mit: Laurence Sigler
Erscheinungsdatum: 11.11.2003
Gewicht: 1,109 kg
preigu-id: 102510073
Zusammenfassung

"Leonardo of Pisa's Liber Abaci (Book of Calculation) is one of the most important books in the history of European mathematics. Leonardo learned his mathematics from the Islamic mathematical tradition (some have even argued that he should be considered part of that tradition), but he wrote his books in Latin. As a result, he became one of the most important mediators of that tradition to European readers ... here it is at last, the Liber Abaci in English. It is now possible for mathematicians who are interested in history to read it, and for students to read portions of it in their history courses ... [Leonardo] was a great mathematician, and here is an accessible and readable edition of his most famous book. Don't miss the opportunity to get a copy." -MAA Online

Inhaltsverzeichnis
I Introduction.- I Introduction.- II Liber Abaci.- 1 Here Begins the First Chapter.- 2 On the Multiplication of Whole Numbers.- 3 On the Addition of Whole Numbers.- 4 On the Subtraction of Lesser Numbers from Greater Numbers.- 5 On the Divisions of Integral Numbers.- 6 On the Multiplication of Integral Numbers with Fractions.- 7 On the Addition and Subtraction and Division Of Numbers with Fractions and the Reduction of Several Parts to a Single Part.- 8 On Finding The Value of Merchandise by the Principal Method.- 9 On the Barter of Merchandise and Similar Things.- 10 On Companies and Their Members.- 11 On the Alloying of Monies.- 12 Here Begins Chapter Twelve.- 13 On the Method Elchataym and How with It Nearly All Problems of Mathematics Are Solved.- 14 On Finding Square and Cubic Roots, and on the Multiplication, Division, and Subtraction of Them, and On the Treatment of Binomials and Apotomes and their Roots.- 15 On Pertinent Geometric Rules And on Problems of Algebra and Almuchabala.- 16 Notes for Liber abaci.- 17 Bibliography.
Details
Erscheinungsjahr: 2003
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Seiten: 648
Reihe: Sources and Studies in the History of Mathematics and Physical Sciences
Inhalt: viii
638 S.
ISBN-13: 9780387407371
ISBN-10: 0387407375
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Sigler, Laurence
Auflage: 2002
Hersteller: Springer New York
Springer US, New York, N.Y.
Sources and Studies in the History of Mathematics and Physical Sciences
Maße: 235 x 178 x 35 mm
Von/Mit: Laurence Sigler
Erscheinungsdatum: 11.11.2003
Gewicht: 1,109 kg
preigu-id: 102510073
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