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Introductory Mathematics: Applications and Methods

  • Textbook
  • © 1998

Overview

Authors:
  1. Gordon S. Marshall

    1. School of Computing and Mathematics, University of Teesside, Middlesbrough, Cleveland, UK

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  • A book for students to read before university to give themselves a head-start - Completely self-contained, with solutions provided to exercises of varying difficulty - Alternatively, universities may choose to base their first- semester course on this book - Applications and examples given from both physics and economics

Part of the book series: Springer Undergraduate Mathematics Series (SUMS)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-ix
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  2. Simultaneous Linear Equations

    • Gordon S. Marshall
    Pages 1-20

  3. Vector Algebra

    • Gordon S. Marshall
    Pages 21-32

  4. Complex Numbers

    • Gordon S. Marshall
    Pages 33-42

  5. Review of Differentiation Techniques

    • Gordon S. Marshall
    Pages 43-56

  6. Review of Integration Techniques

    • Gordon S. Marshall
    Pages 57-78

  7. Applications of Differentiation

    • Gordon S. Marshall
    Pages 79-102

  8. Partial Differentiation

    • Gordon S. Marshall
    Pages 103-125

  9. Multiple Integrals

    • Gordon S. Marshall
    Pages 127-136

  10. Differential Equations

    • Gordon S. Marshall
    Pages 137-183

  11. Back Matter

    Pages 185-226
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Keywords

About this book

This book is aimed at undergraduate students embarking on the first year of a modular mathematics degree course. It is a self-contained textbook making it ideally suited to distance learning and a useful reference source for courses with the traditional lecture/tutorial structure. The theoretical content is firmly based but the principal focus is on techniques and applications. The important aims and objectives are presented clearly and then reinforced using complete worked solutions within the text. There is a natural increase in difficulty and understanding as each chapter progresses, always building upon the basic elements. It is assumed that the reader has studied elementary calculus at Advanced level and is at least familiar with the concept of function and has been exposed to basic differentiation and integration techniques. Although these are covered in the book they are presented as a refresher course to jog the student's memory rather than to introduce the topic for the first time. The early chapters cover the topics of matrix algebra, vector algebra and com­ plex numbers in sufficient depth for the student to feel comfortable -when they reappear later in the book. Subsequent chapters then build upon the student's 'A' level knowledge in the area of real variable calculus, including partial differentiation and mUltiple inte­ grals. The concluding chapter on differential equations motivates the student's learning by consideration of applications taken from both physical and eco­ nomic contexts.

Authors and Affiliations

  • School of Computing and Mathematics, University of Teesside, Middlesbrough, Cleveland, UK

    Gordon S. Marshall

Bibliographic Information

  • Book Title: Introductory Mathematics: Applications and Methods

  • Authors: Gordon S. Marshall

  • Series Title: Springer Undergraduate Mathematics Series

  • DOI: https://doi.org/10.1007/978-1-4471-3412-1

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London Limited 1998

  • Softcover ISBN: 978-3-540-76179-2Published: 28 April 1998

  • eBook ISBN: 978-1-4471-3412-1Published: 06 December 2012

  • Series ISSN: 1615-2085

  • Series E-ISSN: 2197-4144

  • Edition Number: 1

  • Number of Pages: IX, 226

  • Topics: Algebra, Analysis, Applications of Mathematics

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