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Library of Mathematics

Differential Calculus

Authors: Hilton, P. J.

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About this book

THIS book is intended to provide the university student in the physical sciences with information about the differential calculus which he is likely to need. The techniques described are presented with due regard for their theoretical basis; but the emphasis is on detailed discussion of the ideas of the differ­ ential calculus and on the avoidance of false statements rather than on complete proofs of all results. It is a frequent experi­ ence of the university lecturer that science students 'know how to differentiate', but are less confident when asked to say 'what ix means'. It is with the conviction that a proper understand­ ing of the calculus is actually useful in scientific work and not merely the preoccupation of pedantic mathematicians that this book has been written. The author wishes to thank his colleague and friend, Dr. W. Ledermann, for his invaluable suggestions during the prepara­ tion of this book. P. J. HILTON The University. Manchester . . . Contents PAGE Preface V CHAPTER I Introduction to Coordinate Geometry I 6 2 Rate of Change and Differentiation I. The meaning of 'rate of change' 6 2. Limits 9 3. Rules for differentiating IS 4. Formulae for differentiating 21 Exerc-bses 2 3 3 Maxima and Minima and Taylor's Theorem 34 I. Mean Value Theorem 34 2. Taylor's Theorem 41 3. Maxima and minima 45 4.

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-94-011-6087-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Differential Calculus
Authors
Series Title
Library of Mathematics
Copyright
1958
Publisher
Springer Netherlands
Copyright Holder
P. J. Hilton
eBook ISBN
978-94-011-6087-2
DOI
10.1007/978-94-011-6087-2
Softcover ISBN
978-0-7100-4341-2
Edition Number
1
Number of Pages
VII, 57
Topics