WorldCat Identities

Boyer, Carl B. (Carl Benjamin) 1906-1976

Overview
Works: 43 works in 344 publications in 8 languages and 8,822 library holdings
Genres: History 
Roles: Author
Classifications: QA21, 510.9
Publication Timeline
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Most widely held works by Carl B Boyer
A history of mathematics by Carl B Boyer( Book )

131 editions published between 1968 and 2013 in 5 languages and held by 4,736 WorldCat member libraries worldwide

Develops world contributions to mathematics, from the inception of numbers and geometry to modern probability and Bourbaki's mathematics
The history of the calculus and its conceptual development : (The concepts of the calculus) by Carl B Boyer( Book )

55 editions published between 1949 and 2012 in 3 languages and held by 1,590 WorldCat member libraries worldwide

This book, for the first time, provides laymen and mathematicians alike with a detailed picture of the historical development of one of the most momentous achievements of the human intellect {u2015} the calculus. It describes with accuracy and perspective the long development of both the integral and the differential calculus from their early beginnings in antiquity to their final emancipation in the 19th century from both physical and metaphysical ideas alike and their final elaboration as mathematical abstractions, as we know them today, defined in terms of formal logic by means of the idea of a limit of an infinite sequence. But while the importance of the calculus and mathematical analysis {u2015} the core of modern mathematics {u2015} cannot be overemphasized, the value of this first comprehensive critical history of the calculus goes far beyond the subject matter. This book will fully counteract the impression of laymen, and of many mathematicians, that the great achievements of mathematics were formulated from the beginning in final form. It will give readers a sense of mathematics not as a technique, but as a habit of mind, and serve to bridge the gap between the sciences and the humanities. It will also make abundantly clear the modern understanding of mathematics by showing in detail how the concepts of the calculus gradually changed from the Greek view of the reality and immanence of mathematics to the revised concept of mathematical rigor developed by the great 19th century mathematicians, which held that any premises were valid so long as they were consistent with one another. It will make clear the ideas contributed by Zeno, Plato, Pythagoras, Eudoxus, the Arabic and Scholastic mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, and many others in the long passage from the Greek "method of exhaustion" and Zeno's paradoxes to the modern concept of the limit independent of sense experience; and illuminate not only the methods of mathematical discovery, but the foundations of mathematical thought as well
The rainbow from myth to mathematics by Carl B Boyer( Book )

38 editions published between 1959 and 1987 in English and Undetermined and held by 1,021 WorldCat member libraries worldwide

Virtually every volume on mythology contains legends connected with the rainbow and practically all modern textbooks of physics include some exposition of the optical principles which account for the bow. Mankind has been thinking, talking and writing about the rainbow for thousands of years. The Rainbow: from Myth to Mathematics gathers material from a great number of primary and secondary sources in the hopes that readers may be tempted to study further some aspects of the history of the theory of the rainbow. Includes information on Aristotle, Francis Bacon, the Christian tradition, color, Rene, Descartes, fogbow, Augustin Fresnel, Galileo Galilei, halo, Islamic tradition, Jesuits, Johann Kepler, nature of light, mirrors, Sir Isaac Newton, Olympiodorus, physics, rainbow breadth, reflection, refraction, Robert Grosseteste, Themo Judoci, Witelo, etc
History of analytic geometry by Carl B Boyer( Book )

28 editions published between 1956 and 2012 in English and held by 680 WorldCat member libraries worldwide

Title Page; Copyright Page; Table of Contents; Preface; CHAPTER I - The Earliest Contributions; CHAPTER II - The Alexandrian Age; CHAPTER III - The Medieval Period; CHAPTER IV - The Early Modern Prelude; CHAPTER V - Fermat and Descartes,; CHAPTER VI - The Age of Commentaries; CHAPTER VII - From Newton to Euler; CHAPTER VIII - The Definitive Formulation; CHAPTER IX - The Golden Age; ANALYTICAL BIBLIOGRAPHY; Index
The concepts of the calculus : a critical and historical discussion of the derivative and the integral by Carl B Boyer( Book )

28 editions published between 1939 and 1964 in 3 languages and held by 347 WorldCat member libraries worldwide

Sejarah matematik = a history of mathematics by Carl B Boyer( Book )

3 editions published between 2007 and 2011 in Malay and held by 15 WorldCat member libraries worldwide

Presupposes a knowledge of college level mathematics but is accessible to the average reader through its consistent treatment of mathematical structure with a strict adherence to historical perspective and detail. The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day
Sugaku no rekishi( Book )

4 editions published between 1983 and 2008 in Japanese and held by 6 WorldCat member libraries worldwide

Sūgaku no rekishi( Book )

4 editions published between 1984 and 2008 in Japanese and held by 4 WorldCat member libraries worldwide

Sūgaku no rekishi( Book )

4 editions published between 1984 and 2008 in Japanese and held by 4 WorldCat member libraries worldwide

Sūgaku no rekishi( Book )

4 editions published between 1984 and 2008 in Japanese and held by 4 WorldCat member libraries worldwide

Shu xue shi by Carl B Boyer( Book )

1 edition published in 2012 in Chinese and held by 3 WorldCat member libraries worldwide

Invariant factors and elementary divisors : their determination and applications by Carl B Boyer( )

2 editions published in 1929 in English and held by 2 WorldCat member libraries worldwide

Sūgaku no rekishi( Book )

2 editions published in 2008 in Japanese and held by 2 WorldCat member libraries worldwide

Unique applications of pressure equipment for hot isostatic processing by Carl B Boyer( Book )

2 editions published in 1970 in English and held by 2 WorldCat member libraries worldwide

Calculo by Carl B Boyer( Book )

2 editions published between 1992 and 1993 in Portuguese and held by 2 WorldCat member libraries worldwide

Note on an early graph of statistical data (Huygens 1669) by Carl B Boyer( )

1 edition published in 1947 in English and held by 2 WorldCat member libraries worldwide

The history of the c lculus and its conceptual development by Carl B Boyer( Book )

1 edition published in 1959 in English and held by 1 WorldCat member library worldwide

Sūgaku no rekishi( Book )

2 editions published in 2008 in Japanese and held by 1 WorldCat member library worldwide

 
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Audience level: 0.34 (from 0.30 for A history ... to 0.97 for Sūgaku no ...)

The history of the calculus and its conceptual development : (The concepts of the calculus)
Alternative Names
Boyer, Carl B.

Boyer, Carl B. 1906-1976

Boyer, Carl Benjamin

Boyer, Carl Benjamin 1906-

Boyer, Carl Benjamin 1906-1976

Carl Benjamin Boyer Amerikaans wiskundige

Carl Benjamin Boyer Historiador de las matemáticas estadounidense

Carl Benjamin Boyer matematico e saggista statunitense

Carl Benjamin Boyer mathématicien américain

Carl Benjamin Boyer US-amerikanischer Mathematikhistoriker

Carl Boyer

Καρλ Μπέντζαμιν Μπόγιερ Αμερικανός μαθηματικός

Бойер, Карл Американский историк математики

کارل بویر

ボイヤー

卡尔·本杰明·波耶

Languages
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The history of the calculus and its conceptual development : (The concepts of the calculus)History of analytic geometry