Boyer, Carl B. (Carl Benjamin) 19061976
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
2 editions published in 2008 in Japanese and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Merzbach, Uta C. 1933 Other Contributor Adapter Author Editor
 Rogers D. Spotswood Collection
 Greenler, Robert 1929 Other Illustrator
 Courant, Richard Author of introduction
 Martínez Pérez, Mariano Translator
 浦野, 由有 1946
 加賀美, 鉄雄 1938
 Mondadori Cles Printer
 Azwar Abd Manan
 Lombardo Radice, Lucio Author of introduction
Useful Links
Alternative Names
Boyer, Carl B.
Boyer, Carl B. 19061976
Boyer, Carl Benjamin
Boyer, Carl Benjamin 1906
Boyer, Carl Benjamin 19061976
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 USamerikanischer 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
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