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Advanced Calculus

  • Textbook
  • © 1998

Overview

Authors:
  1. Phil Dyke

    1. University of Plymouth, UK

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Part of the book series: College Work Out Series (CWOS)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-viii
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  2. Revision of One-Dimensional Calculus

    • Phil Dyke
    Pages 1-17

  3. Partial Differentiation

    • Phil Dyke
    Pages 18-33

  4. Maxima and Minima

    • Phil Dyke
    Pages 34-48

  5. Optimisation

    • Phil Dyke
    Pages 49-61

  6. Vector Analysis

    • Phil Dyke
    Pages 62-77

  7. Vector Differentiation

    • Phil Dyke
    Pages 78-90

  8. Gradient, Divergence, Curl and Curvilinear Co-ordinates

    • Phil Dyke
    Pages 91-107

  9. Line Integrals

    • Phil Dyke
    Pages 108-116

  10. Multiple Integration

    • Phil Dyke
    Pages 117-138

  11. Surface Integrals

    • Phil Dyke
    Pages 139-147

  12. Integral Theorems

    • Phil Dyke
    Pages 148-159

  13. Back Matter

    Pages 160-183
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Keywords

About this book

This book is a student guide to the applications of differential and integral calculus to vectors. Such material is normally covered in the later years of an engineering or applied physical sciences degree course, or the first and second years of a mathematics degree course. The emphasis is on those features of the subject that will appeal to a user of mathematics, rather than the person who is concerned mainly with rigorous proofs. The aim is to assist the reader to acquire good proficiency in algebraic manipulation that can be used in critically assessing the results obtained from using graphics calculators and algebraic software packages.

Authors and Affiliations

  • University of Plymouth, UK

    Phil Dyke

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