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Calculus, Volume 1

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( 476 ratings, 23 reviews)
Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
Calculus, Volume 1 by Tom M. Apostol offers a unique introduction to calculus, emphasising the historical and conceptual foundations by presenting integration before differentiation. This approach provides a clearer understanding of the integral-derivative relationship. The book balances rigorous proofs with intuitive and geometric discussions, enhancing comprehension. The Second Edition adds early coverage of mean-value theorems, applications, and includes linear algebra topics alongside many new exercises. Each key concept is prefaced with engaging historical context.
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Format: Hardback
$25299
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

Ideal for university students beginning their study of calculus and mathematics enthusiasts seeking a deeper, historically grounded understanding of calculus concepts.

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Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation; this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative.

Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion.

This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

When referencing the title, avoid putting Calculus, Volume 1 in quotes or speech marks.

Book Details

INFORMATION

ISBN: 9780471000051

Publisher: John Wiley & Sons Inc

Format: Hardback

Date Published: 01 January 1975

Country: United States

Imprint: John Wiley & Sons Inc

Edition: 2nd edition

Audience: Tertiary education

DIMENSIONS

Spine width: 42.0mm

Width: 176.0mm

Height: 263.0mm

Weight: 1325g

Pages: 688

About the Author

TOM M. APOSTOL, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.

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