History of mathematics Books

The book deals with expounding the nature of Reality as it is understood in contemporary times in Quantum Physics.  It also explains the classical Indian theory of Śūnya in its diverse facets. Thereafter it undertakes comparison between...

Lazare Carnot was the unique example in the history of science of someone who inadvertently owed the scientific recognition he eventually achieved to earlier political prominence. He and his son Sadi produced work that derived from their training as...

Up to now there have been scarcely any publications on Leibniz dedicated to investigating the interrelations between philosophy and mathematics in his thought. In part this is due to the previously restricted textual basis of editions such as those...

The Origins of Husserl's Totalizing Act At noon on Monday, October 24th, 1887, Dr. Edmund G. Husserl defended the dissertation that would qualify him as a university lecturer at Halle. Entitled "On the Concept of Number," it...

Describes the development and the ultimate demise of the practice of mathematics in sixteenth century Antwerp. Against the background of the violent history of the Religious Wars the story of the practice of mathematics in Antwerp is told through the...

The aim of this book is to analyse historical problems related to the use of mathematics in physics as well as to the use of physics in mathematics and to investigate Mathematical Physics as precisely the new discipline which is concerned with this...

Numerous scientists have taken part in the war effort during World War I, but few gave it the passionate energy of the prominent Italian mathematician Volterra. As a convinced supporter of the cause of Britain and France, he struggled vigorously to...

The development of knowledge is never easy. One doesn't want to go over old ground again, but yet one needs to establish the new in the context of the old. One is also anxious about the novelty of the ideas are they new enough,...

My attention was first drawn to Chuquet' s mathematical manuscript whilst undertaking the necessary research for the preparation of the Open University's History of Mathematics course, presented initially in 1974. It was whilst...

Ever since F. Klein designed his "Erlanger programm", geometries have been studied in close connection with their groups of automorphisms. It must be admitted that the presence of a large automorphismgroup does not always have...

As long as algebra and geometry The unreasonable effectiveness of proceeded along separate paths, mathematics in science . . . Eugene Wigner their advance was slow and their applications limited. But when these sciences joined...

In contributing a foreword to this book I am complying with a wish my husband expressed a few days before his death. He had completed the manuscript of this work, which may be considered a companion volume to his book Formal...

Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his...

Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a...

Entre Meeanique et Arehiteeture: e'est-a-dire, entre les proeedes teehniques qui, depuis des temps immemoriaux eonforment l'art et la scienee de la eonstruetion au developpement de la scienee physique et mathematique la plus...

The controversy between the wave theory and the emission theory of light early in the nineteenth century has been a subject of numerous studies. Yet many is­ sues remain unclear, in particular, the reasons for rejecting Young's...

Zu den vielen Irrtümern, die der Mathematik entgegengehalten werden, zählt der Vorwurf, sie sei in einer Weise fertig, die jede Art von eigenem Nachdenken, von eigener Initiative sinnlos werden lasse. "Bei der Interpretation eines Gedichtes fällt mir...

Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical...

Inspired by recent developments in dependent type theory and infinity categories, this book presents a history of ideas around the topics of truth, proof, equality and equivalence. Besides selected ideas of Platon, Aristoteles, Leibniz, Kant, Frege and...

Edwin A. Abbotts Flachland erzählt auf humorvolle Weise die Geschichte einer zweidimensionalen Welt aus der Sicht eines Quadrats, das in die Mysterien des dreidimensionalen Raums eingeweiht wird. Die vorliegende Neuübersetzung des Romans von...

Logik ist überall: im vernunftgemäßen Urteil, in der Einsicht, die den Glauben ergänzt, in Sprache und Mathematik, in einer aufgeklärten Ethik und in der Frage nach der Wahrheit und den Grenzen des Wissens. Sie scheint unverzichtbar, selbstverständlich...

Philosophen und Theologen haben über das Unendliche nachgedacht. Doch die wahre Wissenschaft vom Unendlichen ist die Mathematik.Rudolf Taschner gelingt es, diesen zentralen Begriff auch dem mathematischen Laien zu vermitteln. Auf anschauliche Weise...

This book concerns comics and what was, in 2003, a developing tradition of Disney-style comic-strips. It also deals with the Dutch graphic artist Maurits Cornelis Escher. Several of his images can be seen in animated form. It also talks of theatre and...

This volume of the "Mathematics and Culture" series is dedicated to Italian artist Armando Pizzicato. The work of Pollock is also discussed, thanks to the collaboration of the Venice Guggenheim Collection. Mathematics creates beauty in architecture, from...

This modern translation of Sophus Lie's and Friedrich Engel's "Theorie der Transformationsgruppen I" will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I...

Wahrend einer Konferenz zum "Jiidischen Nietzscheanismus" 1995 in Greifs­ wald hatte mich EGBERT BRIESKORN eingeladen, in der Edition der Gesam­ melten Werke FELIX HAUSDORFFS dessen philosophische Schriften mit einer Einleitung...

Felix Hausdorff gehört zu den herausragenden Mathematikern der ersten Hälfte des 20. Jahrhunderts. Er hinterließ einen ungewöhnlich reichhaltigen Korpus wissenschaftlicher Manuskripe. Sein Gesamtwerk soll nun in 9 Bänden,...

Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the...

If the ancient Greek philosopher Socrates came to life again today, he would wonder how airplanes fly and light bulbs glow, but not wonder much about the world's political and social changes that took place since his time. The...

A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up...

Présenter l'analyse de base en suivant grosso modo l'ordre suivant laquelle elle a été découverte, voici le fil conducteur de cet ouvrage. Complété par un grand nombre de dessins, d'exemples et de contre-exemples, cet ouvrage...

1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elemen­ ta, where we find a proof of their infinitude, now regarded as...

This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert's celebrated Grundlagen der Geometrie of 1899, together...

In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other ...

This book contains several contributions on the most outstanding events in the development of twentieth century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a...

Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory...