An introduction to the theory of complex variables
The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g. fluids). This text provides an introduction to the ideas that are met at university: complex functions, differentiability, integration theorems, with applications to real integrals. Applications to applied mathematics are omitted, although Fourier transforms are mentioned. The first part is based on an introductory lecture course, and the second expands on the methods used for the evaluation of real integrals. Numerous worked examples are provided throughout.
The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g. fluids). This text provides an introduction to the ideas that are met at university: complex functions, differentiability, integration theorems, with applications to real integrals. Applications to applied mathematics are omitted, although Fourier transforms are mentioned. The first part is based on an introductory lecture course, and the second expands on the methods used for the evaluation of real integrals. Numerous worked examples are provided throughout.
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Comments for "An introduction to the theory of complex variables"
Integration and differential equations
By: R.S. Johnson
Integration involves ideas, with associated techniques, that are familiar from school mathematics; mastering this branch of mathematics is an essential requirement before moving to more sophisticated concepts and applications. The material in this text (Part I) introduces and develops the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II...
Second-order ordinary differential equations
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