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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.

*"synopsis" may belong to another edition of this title.*

Fluent description of the development of both the integral and differential calculus. Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.

*"About this title" may belong to another edition of this title.*

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Dover Pubns
(1959)

ISBN 10: 0486605094
ISBN 13: 9780486605098

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**Book Description **Dover Pubns, 1959. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # V0-9780486605098

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ISBN 13: 9780486605098

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**Book Description **Dover Publishers. Book Condition: New. Brand New. Bookseller Inventory # 0486605094

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Published by
Dover Publications Inc., United States
(1959)

ISBN 10: 0486605094
ISBN 13: 9780486605098

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**Book Description **Dover Publications Inc., United States, 1959. Paperback. Book Condition: New. 200 x 136 mm. Language: English Brand New Book. 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. Bookseller Inventory # AAC9780486605098

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ISBN 10: 0486605094
ISBN 13: 9780486605098

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**Book Description **Dover Publications Inc., 1959. PAP. Book Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # IB-9780486605098

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Published by
Dover Publications Inc., United States
(1959)

ISBN 10: 0486605094
ISBN 13: 9780486605098

New
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Quantity Available: 10

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**Book Description **Dover Publications Inc., United States, 1959. Paperback. Book Condition: New. 200 x 136 mm. Language: English Brand New Book. 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. Bookseller Inventory # AAC9780486605098

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Published by
Dover Publications
(1959)

ISBN 10: 0486605094
ISBN 13: 9780486605098

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Quantity Available: 12

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**Book Description **Dover Publications, 1959. Paperback. Book Condition: New. Bookseller Inventory # 0486605094

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Published by
Dover Publications June 1959
(1959)

ISBN 10: 0486605094
ISBN 13: 9780486605098

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**Book Description **Dover Publications June 1959, 1959. Paper Back. Book Condition: New. Bookseller Inventory # 122605

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