From the calculus to set theory, 1630-1910 : an introductory history / edited and with an introduction by I. Grattan-Guinness ; with chapters by H.J.M. Bos [and five others].

Format:

Book

Contributor:

Grattan-Guinness, I., editor.

Bos, H. J. M., contributor.

Language:

English

Subjects (All):

Mathematics--History.

Mathematics.

Physical Description:

1 online resource (viii, 306 pages) : illustrations

Place of Publication:

Princeton, New Jersey : Princeton University Press, [1980]

Language Note:

In English.

Summary:

From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Moller-Pedersen.

Contents:

Frontmatter

Contents

Preface to the Princeton Edition

0. Introductions and explanations

1. Techniques of the calculus, 1630-1660

2. Newton, Leibniz and the Leibnizian tradition

3. The emergence of mathematical analysis and its foundational progress, 1780-1880

4. The origins of modern theories of integration

5. The development of Cantorian set theory

6. Developments in the foundations of mathematics, 1870-1910

Bibliography

Name Index

Subject Index

Notes:

Description based on print version record.

Includes bibliographical references (pages 256-282) and index.

ISBN:

9780691219660

0691219664

OCLC:

1202625056