Complex Variables for Scientists and Engineers - Norton, Richard E.
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This undergraduate textbook on the theory of functions of a complex variable explains the standard introductory material, clearly but in depth, with many examples and applications, and also introduces more advanced topics. Primarily an introductory text, it will be useful at a more advanced level and as a reference.
Norton's Complex Variables for Scientists and Engineers is a new textbook, originally written for the Complex Analysis term of an undergraduate Mathematical Methods of Physics sequence at UCLA. It does not assume any prior knowledge of complex numbers or functions and is…mehr

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Produktbeschreibung
This undergraduate textbook on the theory of functions of a complex variable explains the standard introductory material, clearly but in depth, with many examples and applications, and also introduces more advanced topics. Primarily an introductory text, it will be useful at a more advanced level and as a reference.
Norton's Complex Variables for Scientists and Engineers is a new textbook, originally written for the Complex Analysis term of an undergraduate Mathematical Methods of Physics sequence at UCLA. It does not assume any prior knowledge of complex numbers or functions and is therefore suitable for a first course in the subject for undergraduate students who have had an introductory course in the standard calculus of real variables. The book provides a thorough grounding in the theory of complex functions. The mathematics is careful, yet accessible to any student who knows basic calculus. It covers the subjects essential in any scientific or engineering discipline that uses mathematics beyond the elementary level. The reader will find a clear presentation of complex differentiation and integration, Cauchy's theorem and integral formula, and infinite series and products. There is a long and thorough section on applying theresidue theorem to the evaluation of real integrals, and a section on special functions and their integral representations. The book includes the conformal property of analytic functions and its applications to boundary value problems in electrostatics; a topological analysis that leads to theextension of the residue theorem to multiply-connected regions and contours; a section on the method of steepest descent; a section on the Riemann zeta function; and a discussion of the convergence of integral representations, which is rarely presented in detail in introductory texts. Those who want to see the mathematics done carefully, and who are looking for more than a 'cook-book' treatment that presents the basic techniques without exploring all the nooks and crannies of the subject, willfind these sections especially satisfying. The preface suggests how to extract a bare-bones course for those in a hurry, without losing sight of the beauty and depth of the subjects.
Autorenporträt
Richard Norton received his PhD from the University of Pennsylvania in 1958. After a few years as a Research Fellow at CalTech (California Institute of Technology), he joined the faculty of the Physics department at UCLA in 1962, where he remained until he retired in 1971. During that period he spent several sabbatical years at the École Polytechnique in Paris (now at Palaiseau) and one year at the University of Paris at Orsay with a Guggenheim fellowship. His principal research interests were elementary particle theory and quantum field theory. From 1976 to 1885 be worked primarily in the area of relativistic many body systems. He died in 2009.
Rezensionen
I like it very much. The writing is extremely clear and straightforward. Topics are well motivated and developed and there are nice examples presented along the way. Thomas Appelquist, Yale University