Philosophy of mathematics Books

Procreare iucundum, sed parturire molestum. (Gauss, sec. Eisenstein) The plan of this book was first conceived eight years ago. The manuscript developed slowly through several versions until it attained its present form in 1979...

This book collects most of the invited papers presented at the 12thInternational Congress of Logic, Methodology and Philosophy of Sciencein Oviedo, August 2003. It contains state of the art accounts of ongoingwork by a selection of the most renowned...

This is a collection of three previously unpublished works by the Italian mathematician Leonardo of Pisa, also known as Fibonacci. They deal with various aspects of arithmetic, geometry, and algebra, and provide valuable insights into the state of...

Dieses Buch ist der dritte Band einer umfassenden Vorlesung über die Geschichte der Mathematik. Der Autor Moritz Cantor beschreibt die Entwicklung der Mathematik von der Renaissance bis zur Entdeckung der Infinitesimalrechnung. Es ist ein unverzichtbares...

Heinrich Bruns' 'Grundlinien des Wissenschaftlichen Rechnens' ist ein wichtiger Beitrag zur Geschichte der Mathematik und behandelt die Anfänge des Rechnens und die Entwicklung der verschiedenen Rechenverfahren und -maschinen bis zum Ende des 19...

This second volume of a collection of mathematical and physical correspondences includes the works of some of the most famous geometers of the eighteenth century, as well as a notice on the works of Leonard Euler. This book is an invaluable resource for...

Dieses Buch enthält eine kritische Edition des fünften Buches von Apollonius' Conica, einem bedeutenden Werk der antiken Mathematik. Der Text wird von ausführlichen Anmerkungen und Kommentaren begleitet, die dem Leser helfen, das Werk zu verstehen und zu...

In diesem Werk wird die Anwendung von Logarithmen auf verschiedene Bereiche des täglichen Lebens beschrieben. Es ist ein wichtiges historisches Werk für Mathematiker, Ingenieure und Technologen gleichermaßen.This work has been selected by scholars as...

Astronomy Across Cultures: A History of Non-Western Astronomy consists of essays dealing with the astronomical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying...

Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying...

This account of the History of General Topology has grown out of the special session on this topic at the American Mathematical Society meeting in San Anto­ nio, Texas, 1993. It was there that the idea grew to publish a book on...

In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically...

The middle years of the nineteenth century saw two crucial develop­ ments in the history of modern logic: George Boole's algebraic treat­ ment of logic and Augustus De Morgan's formulation of the logic of relations. The former...

Bossut's ""A General History of Mathematics from the Earliest Times to the Middle of the Eighteenth Century"" is a comprehensive survey of the development of mathematics throughout history. Originally published in 1803, this book traces the evolution of...

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as...

The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing,...

In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be...

This volume presents a selection of 434 letters from and to the Dutch physicist and Nobel Prize winner Hendrik Antoon Lorentz (1853-1928), covering the period from 1883 until a few months before his death in February 1928. The...

"Interesting and useful as all this will be for anyone interested in knowing more about Bayes, this is just part of the riches contained in this book . . . Beyond doubt this book is a work of the highest quality in terms of the...

The study of natural resource extraction in resourcerich countries often shows that plunder, rather than prosperity, has become the norm. Management of natural resources differs widely in every state; a close examination of the decision making chains in...

This volume collects, for the first time, in photographic reproduction, all of De Morgan's essays for the Companion to the (British) Almanac, with superimposed volume pagination and a chronological table of contents. De Morgan had an amazing depth of...

During his lifetime, Henri Poincaré published three major philosophical books which achieved great success: "La science et l'hypothèse" (1902), "La valeur de la science" (1905) and "Science et méthode" (1908). After his death...

Why does it seem like the more we think, the less we know? Why does the search for new horizons of the mind always bring us back to the ruins of the past? Is there really nothing new under the sun? In "Growing Past Kant," Jim Trader provides original and...

An unabridged, digitally enlarged printing, to include all diagrams, illustrations, pronouncing vocabulary, index, and end of book number puzzles.

This book shows Pythagorean Triples are in an infinite series, their relationship to prime numbers and equations of Euler's disproved conjecture. A very critical examination of culture in mathematics follows.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the...

This fascinating commentary on the work of the medieval scholar Johannes de Sacrobosco sheds new light on the history of mathematics and science. Featuring insightful analysis from the great 19th century scholar Ernst Ludwig Wilhelm Maximilian Curtze,...

Una rivista accademica di matematica di grande importanza storica. Gli articoli pubblicati nei volumi qui presentati spaziano dalla geometria alla teoria degli insiemi. Un must per gli appassionati di matematica e storia della scienza.This work has been...

This book provides a comprehensive analysis of the history and development of mathematics in ancient Greece. It covers various topics including algebra, geometry, and trigonometry.This work has been selected by scholars as being culturally important, and...

Michelangelo Lanci, matematico e letterato italiano, fu uno dei primi occidentali a studiare a fondo la matematica e la filosofia araba. In questo trattato del sedicesimo secolo egli analizza le rappresentazioni simboliche utilizzate dalla tradizione...

Ce livre de Bodin parle de nature de l'univers et de ses mathématiques. Il était visionnaire car il a décrit la nature de l'atome avant que cela n'ait été compris scientifiquement. Wier écrit de la démonologie et des pratiques magiques associées.This...

Un'analisi approfondita di tre scritti inediti del famoso matematico italiano Leonardo Pisano, pubblicati da Baldassarre Boncompagni. Con una traduzione accurata e una guida interpretativa chiara, questo libro è un must per gli studiosi della matematica...

A memoir written by the American mathematician George Winslow Pierce about his life and professional career. Pierce recounts his intellectual development as a student of mathematics, his contributions to the field of algebra, and his experiences teaching...

Featuring a comprehensive selection of mathematics questions posed to students of London's prestigious universities in the 19th century, this volume offers an excellent glimpse into the state of higher education at the time. The questions range from...

Eine Zusammenstellung von Gauss' Arbeiten in sieben Bänden, die wichtige Fortschritte in Mathematik und Physik dokumentieren.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we...

A collection of writings by Greek philosopher Theon of Smyrna, including his work 'Mathematics Useful for Understanding Plato.'This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we...

Ce livre propose de rassembler toutes les œuvres de Joseph Louis Lagrange, un mathématicien et astronome italien-français du XVIIIe siècle, connu pour ses contributions à la théorie des nombres et à la mécanique céleste. Lagrange était également l'auteur...

This book is a study of the controversy surrounding the invention of the differential calculus. It focuses on the claim of the German philosopher and mathematician Gottfried Wilhelm Leibniz, who maintained that he had invented the calculus independently...

Esta es la verdadera historia, nunca antes contada, de las mujeres afroamericanas de la NASA expertas en matemáticas, que desempeñaron un papel crucial en el programa espacial de Estados Unidos, y cuyas contribuciones han permanecido anónimas... hasta...

Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of...

A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love...

Preface.- 1 TRIGONOMETRY.- 1.1 The Hellenic Period.- 1.2 Ptolemy's Table of Chords.- 1.3 The Indian Contribution.- 1.4 Trigonometry in the IslamicWorld.- 1.5 Trigonometry in Europe.- 1.6 From Viète to Pitiscus.- 2 LOGARITHMS.- 2.1 Napier's First Three...

Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 - ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De Practica Geometrie. This translation offers a reconstruction of De...

"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and...

This volume is, as may be readily apparent, the fruit of many years' labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not...