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Mathematics for Physicists and Engineers

Fundamentals and Interactive Study Guide

  • Klaus Weltner
  • Wolfgang J. Weber
  • Jean Grosjean
  • Peter Schuster

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 1-21
  3. Klaus Weltner, Jean Grosjean , Peter Schuster, Wolfgang J. Weber
    Pages 23-37
  4. Klaus Weltner, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 39-68
  5. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 69-84
  6. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 85-144
  7. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 145-189
  8. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 191-226
  9. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 227-246
  10. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 247-271
  11. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 273-320
  12. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 321-335
  13. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 337-375
  14. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 377-400
  15. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 401-427
  16. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 429-450
  17. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 451-459
  18. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 461-490
  19. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 491-505
  20. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 507-518
  21. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 519-536
  22. Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean
    Pages 537-556
  23. Back Matter
    Pages 557-588

About this book

Introduction

Mathematics is the basic language in physics and engineering. It is an essential tool which first and second year students have to master as soon as possible. A lack of competence in mathematics is the main reason for failure and drop out in the beginning periods of study.

This textbook offers an accessible and highly approved approach which is characterized by the combination of the textbook with a detailed study guide available online at extras.springer.com. This study guide divides the whole learning task into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and to return to the study guide afterwards. Working with the study guide his or her learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. Since the degree of difficulties is slowly rising the students gain confidence and experience their own progress in mathematical competence thus fostering motivation. Furthermore in case of learning difficulties he or she is given supplementary explanations and in case of individual needs supplementary exercises and applications. So the sequence of the studies is individualised according to the individual performance and needs and can be regarded as full tutorial course.

More than that the study guide aims to satisfy two objectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offers advice on the improvement of study skills. Empirical studies have shown that the student's competence for using written information has improved significantly by using this study guide.

Keywords

Potential Transformation calculus elearning physics learning mathematics engineering mathematics physics numerical methods textbook math engineering textbook math physics textbook mathematical physics

Authors and affiliations

  • Klaus Weltner
    • 1
  • Wolfgang J. Weber
    • 2
  • Jean Grosjean
    • 3
  • Peter Schuster
    • 4
  1. 1.Inst. Didaktik der PhysikUniversität FrankfurtFrankfurtGermany
  2. 2.Hochschulrechenzentrum (HRZ)Universität FrankfurtFrankfurtGermany
  3. 3.Fac. Engineering & DesignUniversity of BathBathUnited Kingdom
  4. 4.SulzbachGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-00173-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-00172-7
  • Online ISBN 978-3-642-00173-4
  • Buy this book on publisher's site