Differential equations and infinite series

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Product description

The book is written for the course Advanced Engineering Mathematics 2 at the Technical University of Denmark. Longer proofs are placed in an Appendix, so the book can be used as well in a practically oriented course as in a more theoretically oriented course. The presentation requires a solid knowledge of calculus, linear algebra, and differential equations of first- and second order. 

The main topics are:
· Differential equations of nth order; 
· Systems of differential equations of first order; 
· Transfer functions; 
· Stability; 
· Nonlinear differential equations; 
· Infinite series with constant terms; 
· Infinite series with variable terms; 
· Power series; · Fourier series; 
· Solution of differential equations using power series; 
· Solution of differential equations using Fourier series; 
· The Fourier transform.  

The book also contains a large collection of exercises and an appendix with Maple commands. 

Details

  • ISBN13 9788750201281
  • Pages 346
  • Released 2022
  • Publisher Polyteknisk Forlag
  • Format Hardback
  • Language English