Mathematics
Complex Analysis


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Visual Complex Analysis (97 Edition)
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Visual Complex Analysis (97 Edition)
by Tristan Needham

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This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book'...
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Function Theory of One Complex Variable (3RD 06 Edition)
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Function Theory of One Complex Variable (3RD 06 Edition)
by Robert E. Greene

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Emphasizing how complex analysis is a natural outgrowth of multivariable real calculus, this graduate textbook introduces the Cauchy integral formula, the properties and behavior of holomorphic functions, harmonic functions, analytic continuation...
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A Second Course in Complex Analysis
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A Second Course in Complex Analysis
by William A. Veech

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A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. Chiefly classical in content, it emphasizes the geometry of complex mappings. Additional topics include...
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Functions of a Complex Variable Theory &
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Functions of a Complex Variable Theory &
by George F Carrier

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This book makes available to readers a comprehensive range of analytical techniques based upon complex variable theory....
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Lectures on Counterexamples in Several C
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Lectures on Counterexamples in Several C
by John Erik Fornaess

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This work presents lectures from a graduate course at Princeton in 1982-83, collecting some of the counterexamples in the several-complex-variable theory which were scattered throughout the literature. The first part of the book introduces some of the...
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Complex Variables and the Laplace Transform for Engineers
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Complex Variables and the Laplace Transform for Engineers
by Wilbur R Lepage

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Acclaimed text on essential engineering mathematics covers theory of complex variables, Cauchy-Riemann equations, conformal mapping, and multivalued functions, plus Fourier and Laplace transform theory, with applications to engineering, including...
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Functions of a Bounded Type in the Half
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Functions of a Bounded Type in the Half
by Armen M Jerbashian

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This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, the book contains improvements of several...
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Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note)
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Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note)
by Manfred Stoll

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This monograph covers Poisson-Szegö integrals on the ball, the Green's function for ^D*D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of...
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Fractional Cauchy Transforms
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Fractional Cauchy Transforms
by Rita A Hibschweiler

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Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material...
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Problems in Euclidean Space Problems in Euclidean Space: Application of Convexity Application of Convexity
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Problems in Euclidean Space Problems in Euclidean Space: Application of Convexity Application of Convexity
by H G Eggleston

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This text for advanced undergraduates and graduate students examines problems concerning convex sets in real Euclidean spaces of 2 or 3 dimensions. It illustrates the different ways in which convexity can enter into the formulation as the solution to...
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Applied Complex Variables (Mathematics Series)
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Applied Complex Variables (Mathematics Series)
by John W Dettman

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First half of book covers complex number plane; functions and limits; Riemann surfaces, the definite integral; power series; meromorphic functions and much more. The second half deals with potential theory; ordinary differential equations; Fourier...
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Fundamentals and Applications of Complex Analysis
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Fundamentals and Applications of Complex Analysis
by Harold L Cohen

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This book is intended to serve as a text for both beginning and second courses in complex analysis of functions of one complex variable. The material that is appropriate for more advanced study is developed from elementary material. The concepts are...
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Analysis of Dirac Systems and Computational Algebra
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Analysis of Dirac Systems and Computational Algebra
by Fabrizio (edt) Colombo

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The subject of Clifford algebras has become an increasingly rich area of research with a significant number of important applications not only to mathematical physics but to numerical analysis, harmonic analysis, and computer science.The main treatment...
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Annals of Mathematics Studies #0066: Advances in the Theory of Riemann Surfaces. (Am-66)
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Annals of Mathematics Studies #0066: Advances in the Theory of Riemann Surfaces. (Am-66)
by Lipman Bers

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The present volume contains all but two of the papers read at the conference, as well as a few papers and short notes submitted afterwards. We hope that it reflects faithfully the present state of research in the fields covered, and that it may provide...
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Holomorphic Functions in the Plane and N-Dimensional Space
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Holomorphic Functions in the Plane and N-Dimensional Space
by Klaus Gurlebeck

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Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or...
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Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics)
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Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics)
by Reynal Rocha-chavez

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The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures...
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Moduli of Families of Curves for Conformal and Quasiconformal Mappings
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Moduli of Families of Curves for Conformal and Quasiconformal Mappings
by Alexander Vasilev

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Includes bibliographical references (p. [197]-206) and index....
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Holomorphic Q Classes
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Holomorphic Q Classes
by Jie Xiao

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The space Q p consists of all holomorphic functions f on the unit disk for which the L2 area integrals of its derivative against the p-th power of the Green function of the unit disk are uniformly bounded in the variable that survives the integration. It...
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Topics in Almost Automorphy
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Topics in Almost Automorphy
by Gaston N Guerekata

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This monograph presents recent contributions to the topics of almost periodicity and almost automorphy. Several new methods, including the methods of invariant subspaces and uniform spectrum, as well as various classical methods, such as fixed point...
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Complex Analysis with Applications
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Complex Analysis with Applications
by Richard Silverman

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Basic book on rudimentary methods of analyzing complex variables with essential information about the techniques of complex analysis. Exercise material and examples. Bibliography. Index....
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