The History of the Calculus and Its Conceptual Development: (The Concepts of the Calculus)

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Courier Dover Publications, 1949 - Mathematics - 346 pages
2 Reviews
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 ― 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 ― the core of modern mathematics ― 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.
  

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Review: The History of the Calculus and Its Conceptual Development

User Review  - Laura - Goodreads

It's a classic, but some of the organization could be redone to aid in the progression of major concepts. Read full review

Review: The History of the Calculus and Its Conceptual Development

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Contents

INTRODUCTION
1
CONCEPTIONS IN ANTIQUITY
14
MEDIEVAL CONTRIBUTIONS
61
A CENTURY OF ANTICIPATION
96
NEWTON AND LEIBNIZ
187
THE PERIOD OF INDECISION
224
THE RIGOROUS FORMULATION
267
CONCLUSION
299
BIBLIOGRAPHY
311
INDEX
337
Copyright

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Geometry.Net - Calculus: History Of Calculus
The History of the Calculus and Its Conceptual Development by Carl B. Boyer, 1959-06-01; A History of the Progress of the Calculus of Variations during the ...
www5.geometry.net/ detail/ calculus/ history_of_calculus.html

JSTOR: From the Calculus to Set Theory, 1630-1910: An Introductory ...
... republished in 1949 as The History of the Calculus and Its Conceptual Development, and reissued in a popular paperback edition by Dover in 1959. ...
links.jstor.org/ sici?sici=0002-9890(198503)92%3A3%3C225%3AFTCTST%3E2.0.CO%3B2-L

<CENTER>Mathematics Sources</CENTER>
The history of the calculus and its conceptual development, Carl Boyer. Rating: ! Boyer spends a great deal of time discussing the earlier development of ...
math.bu.edu/ people/ jeffs/ biblio.html

History of Mathematics: History of Analysis
Reprinted as The history of the calculus and its conceptual development. Dover, New York, 1959. History of analytic geometry. Scripta Mathematica, New York, ...
aleph0.clarku.edu/ ~djoyce/ mathhist/ analysis.html

ships || The History of Calculus Notation
The History of the Calculus and Its Conceptual Development. New York: Dover. Hall, Rupert. 1980. Philosophers ar War: The Quarrel Between Newton and Leibniz ...
www1.umn.edu/ ships/ 9-1/ calculus.htm

B authors
cb Boyer, The history of the calculus and its conceptual development (New York, 1959). fe Brasch, Sir Isaac Newton : an essay on Sir Isaac Newton and ...
www-groups.dcs.st-and.ac.uk/ ~history/ Bibliography/ B.html

Carl B. Boyer
Carl B. Boyer,The History of the Calculus and its Conceptual Development, Dover, ... http://web.mit.edu/8.01t/www/materials/modules/guide02.pdf ...
unjobs.org/ authors/ carl-b.-boyer

Methods Of Exhaustion Text - Physics Forums Library
Boyer(2), Carl B., The History of the Calculus and Its Conceptual Development, Dover, 1949. Boyer, Carl B. and Merzbach, Uta C., A History of Mathematics, ...
www.physicsforums.com/ archive/ index.php/ t-208473.html

We sometimes read that the inventors of calculus were Sir Isaac ...
Carl Boyer, The History of the Calculus and Its Conceptual Development (New York:. Dover, 1959), Chapter V. 3. ch Edwards, The Historical Development of the ...
www.brookscole.com/ math_d/ templates/ student_resources/ AdditionalTopics/ 2006_versions/ 0495014281/ projects/ ecet_wp_050...

geometry :: Geometry and the calculus -- Britannica Online ...
... also published as The History of the Calculus and Its Conceptual Development, 1949, reissued 1959), largely superseded by Margaret E. Baron, ...
www.britannica.com/ eb/ article-217511/ geometry

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