Introduction To The Geometry Of Complex Numbers

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The volume is an enlarged edition of a classic textbook on complex analysis. It bridges the gap between the classical material of the first edition and recent advances in half-plane Loewner theory, th

This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level

Complex Variables and Applications, 9e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new

Böhmer presents readers with a comprehensive introduction to the fundamental ideas behind the geometric theory of gravitation and spacetime. The author covers differential geometry, Einstein field

Complex Words in English presents a comprehensive account of present-day word formation in English. Starting with a discussion of some basic issues, including the definition of 'word', motivation, lex

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Inequalities from Complex Analysis is a careful, friendly exposition of some rather interesting mathematics. The author gives a novel presentation of some standard mathematics as well as some results

Complex Cases in Echocardiography is a unique text written by a team of top cardiologists at Cedars Sinai Heart Institute. Drawing from their extensive library of echocardiograms, the authors feature

Advances in public management sciences have long indicated the empirical finding that the normal state of public management systems is complex and that its dynamics are non-linear. Complex systems ar

This volume contains the basics of what every scientist and engineer should know about complex analysis. A lively style combined with a simple, direct approach helps readers grasp the fundamentals, fr

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The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first

The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a valuable refer

Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the t