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  • Textbook
  • © 2014

Mathematics for Physicists and Engineers

Fundamentals and Interactive Study Guide

  • Includes a separate study guide with 823 interactive learning tutorials, available online
  • Includes a chapter on Fourier Integrals and Fourier Transforms
  • Is completely revised and rewritten
  • Includes supplementary material: sn.pub/extras

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  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xvii
  2. Vector Algebra I: Scalars and Vectors

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 1-21
  3. Vector Algebra II: Scalar and Vector Products

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 23-37
  4. Functions

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 39-70
  5. Exponential, Logarithmic and Hyperbolic Functions

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 71-86
  6. Differential Calculus

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 87-146
  7. Integral Calculus

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 147-192
  8. Applications of Integration

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 193-228
  9. Taylor Series and Power Series

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 229-248
  10. Complex Numbers

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 249-273
  11. Differential Equations

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 275-322
  12. Laplace Transforms

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 323-337
  13. Functions of Several Variables; Partial Differentiation; and Total Differentiation

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 339-377
  14. Multiple Integrals; Coordinate Systems

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 379-402
  15. Transformation of Coordinates; Matrices

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 403-429
  16. Sets of Linear Equations; Determinants

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 431-452
  17. Eigenvalues and Eigenvectors of Real Matrices

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 453-461
  18. Vector Analysis: Surface Integrals, Divergence, Curl and Potential

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 463-492
  19. Fourier Series; Harmonic Analysis

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 493-508
  20. Fourier Integrals and Fourier Transforms

    • Klaus Weltner, Sebastian John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean
    Pages 509-518

About this book

This textbook offers an accessible approach to the subject of mathematics which divides the topic into smaller units, guiding students through questions, exercises and problems designed to slowly increase student confidence and experience. The sequence of studies is individualised according to performance and can be regarded as full tutorial course. 

The study guide satisfies 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.

The new edition includes a new chapter on Fourier integrals and Fourier transforms, numerous sections had been updated, 30 new problems with solutions had been added. The interactive study guide has seen a substantial update.

Reviews

From the book reviews:

“In this mathematics textbook, you’ll find possibly all the mathematics you’d need for first years of an undergraduate physics course - algebra, geometry, calculus and statistics. … With the book there is also an online study guide designed to help the student advance quite quickly. … If taken alone, the textbook is as any other mathematics textbook for physicists, together with the study guide it is an excellent combination, especially if you prefer to study alone … .” (Kadri Tinn, AstroMadness.com, February, 2015)

Authors and Affiliations

  • Institute for Didactic of Physics, University of Frankfurt, Frankfurt, Germany

    Klaus Weltner

  • Cambridge University, Cambridge, United Kingdom

    Sebastian John

  • Computing Center, University of Frankfurt, Frankfurt, Germany

    Wolfgang J. Weber

  • Sulzbach, Germany

    Peter Schuster

  • University of Bath Fac. Engineering & Design, Bath, United Kingdom

    Jean Grosjean

About the authors

Prof. Dr. Klaus Weltner is based at the University of Frankfurt, Germany.

Sebastian John teaches at Cambridge University, UK.

Dr. Wolfgang J. Webern is based in the University of Frankfurt, Germany.

Dr. Peter Schuster teaches at the University of Leeds, UK. 

Professor Jean Grosjean is based in the School of Engineering at the University of Bath, UK.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access