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Complex Variables
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  • Cited by 177
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    Deser, S. Griguolo, L. and Seminara, D. 1998. Effective QED actions: Representations, gauge invariance, anomalies, and mass expansions. Physical Review D, Vol. 57, Issue. 12, p. 7444.

    Lathiotakis, N. N. Györffy, B. L. and Újfalussy, B. 2000. First-principles asymptotics for the oscillatory exchange coupling inCo/Cu/Coof (100), (110), and (111) orientations. Physical Review B, Vol. 61, Issue. 10, p. 6854.

    Vogt, M. Sen, T. and Ellison, J. A. 2002. Simulations of three one-dimensional limits of the strong-strong beam-beam interaction in hadron colliders using weighted macroparticle tracking. Physical Review Special Topics - Accelerators and Beams, Vol. 5, Issue. 2,

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    Olhed, S.C. 2006. On probability density functions for complex variables. IEEE Transactions on Information Theory, Vol. 52, Issue. 3, p. 1212.

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    Finlayson, Bruce A. Biegler, Lorenz T. and Grossmann, Ignacio E. 2006. Ullmann's Encyclopedia of Industrial Chemistry.

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    Pinotsis, Dimitrios A 2007. The Riemann-Hilbert Formalism for Certain Linear and Nonlinear Integrable PDEs. Journal of Nonlinear Mathematical Physics, Vol. 14, Issue. 3, p. 474.

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    Fokas, Athanassios S. and Pinotsis, Dimitrios A. 2007. Quaternions, Evaluation of Integrals and Boundary Value Problems. Computational Methods and Function Theory, Vol. 7, Issue. 2, p. 443.

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    Complex Variables
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Book description

Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, and numerical methods. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann–Hilbert problems. The authors provide an extensive array of applications, illustrative examples and homework exercises. This 2003 edition was improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.


‘… an excellent text, and one of the most complete and well-written books on complex variables I have seen … The index is nicely composed, complete, and accurate … useful as a reference … I highly recommend it to anyone interested in the subject and have placed it prominently upon my reference bookshelf.’

Duwayne Anderson Source: Optics and Photonics News

‘… an excellent text, and one of the most complete and well-written books on complex variables I have seen … I highly recommend it to anyone interested in the subject…’.

Source: Optics and Photonics News

'Overall the book feels 'road-tested' both in the lecture theatre and in the crucible of research and the clear well-written text is complemented by a superb collection of worked examples and exercises ranging in scope from routine applications of techniques to more substantial illustrations of the theory.'

Source: The Mathematical Gazette

'… the book is valuable for students in engineering and physical sciences.'

Source: ZAMM

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