Kunihiko Kodaira Libri

Focusing on the classical theory of functions of a complex variable, this text offers a clear and geometrically oriented approach to complex analysis, minimizing topological challenges. It begins with Cauchy's integral formula in a straightforward context, leading to an exploration of holomorphic functions. The content progresses to conformal mappings, Riemann's mapping theorem, and analytic functions on Riemann surfaces, culminating in the Riemann-Roch and Abel theorems. Richly illustrated with examples and problem sets, it serves as an engaging resource for advanced students.

Focusing on the classical theory of Nevanlinna, this book explores the value distribution of meromorphic functions in one complex variable, requiring minimal prior knowledge of complex manifolds. It discusses extensions to several variables by notable mathematicians and includes K. Kodaira's insights from his 1973 course at The University of Tokyo. The initial chapters examine holomorphic mappings from C to complex manifolds, while later sections delve into mappings between higher-dimensional manifolds, making it a significant resource for understanding Kodaira's contributions to complex manifold theory.

The work showcases Kunihiko Kodaira's significant impact on modern complex analysis through a collection of his writings from 1937 to 1971. Organized chronologically, these three volumes highlight key periods in his mathematical focus and demonstrate his collaborations with leading theorists in the field. The compilation serves as a comprehensive resource for understanding Kodaira's contributions and the evolution of complex analysis.

This volume offers a comprehensive introduction to the theory of complex algebraic surfaces, featuring concise proofs of significant theorems like Gorenstein's theorem and Noether's formula. It explores the pluri-canonical maps of surfaces of general type, providing practical applications of the theoretical concepts discussed. Aimed at graduate students and those interested in algebraic surfaces, it requires only a basic understanding of complex manifolds, making it accessible for readers looking to deepen their knowledge in this area.

Focusing on the foundational work in modern complex analysis, this collection showcases Kunihiko Kodaira's extensive contributions from 1937 to 1971. The three volumes are organized chronologically, highlighting significant periods of his mathematical focus and his collaborations with other leading theorists. This comprehensive compilation not only emphasizes Kodaira's influence in mathematics but also serves as a vital resource for understanding the development of complex analysis through his pioneering research.

Kunihiko Kodaira's work significantly shaped modern complex analysis, showcasing his international influence in mathematics. This collection spans three volumes, compiling his contributions from 1937 to 1971, organized chronologically to highlight key periods of his research. It also emphasizes his collaborations with other leading mathematicians, providing insight into the development of complex analysis through his extensive writings published in various journals and books.

Kodaira is a Fields Medal Prize Winner. (In the absence of a Nobel prize in mathematics, they are regarded as the highest professional honour a mathematician can attain.) Kodaira is an honorary member of the London Mathematical Society.Affordable softcover edition of 1986 classic