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Complex Functions Theory c-11

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Language:  English
In this book you find the basic mathematics that is needed by engineers and university students .
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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
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