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#### Circle-valued Morse Theory

De Gruyter 2006; US$ 196.00In 1927 M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. It is a large and actively developing domain of differential topology, with applications... more...

#### Introduction to Complex Analysis in Several Variables

Springer 2005; US$ 49.99Gives an introduction to complex analysis in several variables. This book points out many cross-references to other parts of mathematics, such as functional analysis or algebras. A major focus is extension phenomena alien to the one-dimensional theory, which are expressed in Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. more...

#### Value Distribution Theory Related to Number Theory

Springer 2006; US$ 139.00Talks about Diophantine approximation and Nevanlinna theory. This text not only provides fresh results and directions, but also challenges open problems. It also presents the state of the art in the studies of the analogues between Diophantine approximation (in number theory) and value distribution theory (in complex analysis). more...

#### Theory of Complex Homogeneous Bounded Domains

Springer 2007; US$ 119.00Presents a study of the classification and function theory of complex homogeneous bounded domains. This book discusses the Siegel domains in detail. It states that every homogeneous bounded domain is holomorphically isomorphic to a homogeneous Siegel domain, and every homogeneous Siegel domain is affine isomorphic to a normal Siegel domain. more...

#### Thomas Harriot's Artis Analyticae Praxis

Springer 2007; US$ 199.00A work in the history of algebra. It is an English translation of Thomas Harriot's "Artis Analyticae Praxis". more...

#### Hypercomplex Analysis

Springer 2009; US$ 169.00Contains selected papers from the ISAAC conference 2007 and invited contributions. This book covers various topics that represent the main streams of research in hypercomplex analysis as well as the expository articles. It is suitable for researchers and postgraduate students in various areas of mathematical analysis. more...

#### Holomorphic Operator Functions of One Variable and Applications

Springer 2009; US$ 179.00Deals with holomorphic operator functions of a single variable and applications. This book offers a generalization of some results from the basics of analysis of scalar functions of one complex variable. It presents application for holomorphic families of subspaces and Plemelj-Muschelishvili factorization. more...

#### Cauchy's Cours d'analyse

Springer 2010; US$ 199.00Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus. more...