Books written by Kunihiko Kodaira.
Kunihiko Kodaira achieved major results in the theory of harmonic integrals and numerous applications to Kählerian and more specifically to algebraic varieties. He demonstrated, by sheaf cohomology, that such varieties are Hodge manifolds. He was awarded the Fields Medal in 1954 and was the first Japanese national to receive the award
Complex Manifolds
This volume serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University in 1965-1966, the book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kähler manifolds called Hodge manifolds is algebraic.
Introduction to Complex Analysis
This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case.
Complex Manifolds and Deformation of Complex Structures
Kunihiko Kodaira, Collected Works: Volume I
Kunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971.
Kunihiko Kodaira, Collected Works: Volume II
Kunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971.
Kunihiko Kodaira, Collected Works: Volume III
Kunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971.
The Collected Papers of Teiji Takagi
Teiji Takagi one of the leading number theorists of this century, is most renowned as the founder of class field theory. This volume reflects the stages of his development of this theory. Inspired by a genial idea related to analytic number theory, he developed a beautiful general theory of abelian extensions of algebraic number fields which he addressed at the ICM 1920 at Strasbourg.
Harmonic Integrals
Lectures Delivered In A Seminar Conducted By Professors Hermann Weyl And Karl Ludwig Siegel At The Institute For Advanced Study, 1950.
Nevanlinna Theory
This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds.
Japanese Grade 7 Mathematics
The University of Chicago School Mathematics Project
Japanese Grade 8 Mathematics
The University of Chicago School Mathematics Project
Japanese Grade 9 Mathematics
The University of Chicago School Mathematics Project
Mathematics 1: Japanese Grade 10
This is the translation from the Japanese textbook for the grade 10 course, "Basic Mathematics". The book covers the material which is a compulsory for Japanese high school students. The course comprises algebra (including quadratic functions, equations, and inequalities), trigonometric functions, and plane coordinate geometry.
Mathematics 2: Japanese Grade 11
This is the translation from the Japanese textbook for the grade 11 course, "General Mathematics". It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration.
Basic Analysis: Japanese Grade 11
This is the translation of the Japanese textbook for the grade 11 course, "Basic Analysis", which is one of three elective courses offered at this level in Japanese high schools. The book includes a thorough treatment of exponential, logarithmic, and trigonometric functions, progressions, and induction method, as well as an extensive introduction to differential and integral calculus.
Algebra and Geometry: Japanese Grade 11
A textbook used by upper level secondary school students in Japan, covering plane and solid coordinate geometry, vectors, and matrices.