Complex Functions Theory c-11

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131 pages
Langue:
 English
In this book you find the basic mathematics that is needed by engineers and university students .
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A propos de l'auteur

Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until h...

Description
Content

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Topics as Elementary complex functions, calculus of residua and its application to e.g. integration are illustrated.

This book requires knowledge of Calculus 1 and Calculus 2.

  1. The Laplace transformation 4
    1. Null sets and null functions; the Lebesgue integral
    2. The Laplace transformation
    3. The complex inversion formula I
    4. Convolutions
    5. Linear ordinary differential equations
    6. The two-sided Laplace transformation
    7. The Fourier transformation
    8. The Laplace transform of a function via a differential equation
  2. Appendices
    1. Trigonometric formula:
    2. Integration of trigonometric polynomials
    3. Tables of some Laplace transforms and Fourier transforms
  3. Index