Complex Manifolds and Deformation of Complex Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 1461385903
Total Pages : 476 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Complex Manifolds and Deformation of Complex Structures by : K. Kodaira

Download or read book Complex Manifolds and Deformation of Complex Structures written by K. Kodaira and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).

Kunihiko Kodaira, Volume I

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Publisher : Princeton University Press
ISBN 13 : 1400869854
Total Pages : 671 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Kunihiko Kodaira, Volume I by : Kunihiko Kodaira

Download or read book Kunihiko Kodaira, Volume I written by Kunihiko Kodaira and published by Princeton University Press. This book was released on 2015-03-08 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians. Thus they begin with early works that discuss the application of Hilbert space methods to differential equations, and the use of elementary solutions to prove regularity theorems for strongly elliptic systems of partial differential equations. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Complex Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 082184055X
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Manifolds by : James A. Morrow

Download or read book Complex Manifolds written by James A. Morrow and published by American Mathematical Soc.. This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on lectures given by Kunihiko Kodaira at Stanford University in 1965-1966, this book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kahler manifolds called Hodge manifolds is algebraic.

Mathematics 1

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Publisher : American Mathematical Soc.
ISBN 13 : 1470424746
Total Pages : 247 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics 1 by : Kunihiko Kodaira

Download or read book Mathematics 1 written by Kunihiko Kodaira and published by American Mathematical Soc.. This book was released on 1996-08-05 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebra and Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805819
Total Pages : 174 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebra and Geometry by : 小平邦彦

Download or read book Algebra and Geometry written by 小平邦彦 and published by American Mathematical Soc.. This book was released on 1996 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: See blurb for Japanese Grade 10.

Basic Analysis: Japanese Grade 11

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805800
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Basic Analysis: Japanese Grade 11 by : 小平邦彦

Download or read book Basic Analysis: Japanese Grade 11 written by 小平邦彦 and published by American Mathematical Soc.. This book was released on 1996 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."--Publisher.

Kunihiko Kodaira, Volume II

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Publisher : Princeton University Press
ISBN 13 : 1400869862
Total Pages : 508 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Kunihiko Kodaira, Volume II by : Kunihiko Kodaira

Download or read book Kunihiko Kodaira, Volume II written by Kunihiko Kodaira and published by Princeton University Press. This book was released on 2015-03-08 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians. It was in the second period that Kodaira did his fundamental work on harmonic integrals. The third period is chiefly characterized by the application of harmonic integrals and of the theory of sheaves to algebraic geometry and to complex manifolds. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Harmonic Integrals

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Publisher :
ISBN 13 : 9781258578343
Total Pages : 124 pages
Book Rating : 4.5/5 (783 download)

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Book Synopsis Harmonic Integrals by : Georges De Rham

Download or read book Harmonic Integrals written by Georges De Rham and published by . This book was released on 2013-02 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures Delivered In A Seminar Conducted By Professors Hermann Weyl And Karl Ludwig Siegel At The Institute For Advanced Study, 1950.

Complex Analysis and Algebraic Geometry

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Author :
Publisher : CUP Archive
ISBN 13 : 9780521217774
Total Pages : 424 pages
Book Rating : 4.2/5 (177 download)

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Book Synopsis Complex Analysis and Algebraic Geometry by : Kunihiko Kodaira

Download or read book Complex Analysis and Algebraic Geometry written by Kunihiko Kodaira and published by CUP Archive. This book was released on 1977 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.

Mathematics 2: Japanese Grade 11

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805827
Total Pages : 282 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics 2: Japanese Grade 11 by : 小平邦彦

Download or read book Mathematics 2: Japanese Grade 11 written by 小平邦彦 and published by American Mathematical Soc.. This book was released on 1997 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."--Publisher.

Kunihiko Kodaira, Volume III

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Publisher : Princeton University Press
ISBN 13 : 1400869870
Total Pages : 494 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Kunihiko Kodaira, Volume III by : Kunihiko Kodaira

Download or read book Kunihiko Kodaira, Volume III written by Kunihiko Kodaira and published by Princeton University Press. This book was released on 2015-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians. The next major period, the classification of compact, complex analytic surfaces, forms the subject of Volume III and is a natural sequel to the papers on variation of complex structure. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Nevanlinna Theory

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Publisher : Springer
ISBN 13 : 9811067872
Total Pages : 86 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Nevanlinna Theory by : Kunihiko Kodaira

Download or read book Nevanlinna Theory written by Kunihiko Kodaira and published by Springer. This book was released on 2017-12-15 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P. Griffiths in the early 1970s. K. Kodaira took up this subject in his course at The University of Tokyo in 1973 and gave an introductory account of this development in the context of his final paper, contained in this book. The first three chapters are devoted to holomorphic mappings from C to complex manifolds. In the fourth chapter, holomorphic mappings between higher dimensional manifolds are covered. The book is a valuable treatise on the Nevanlinna theory, of special interests to those who want to understand Kodaira's unique approach to basic questions on complex manifolds.

Fields Medallists' Lectures

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Publisher : World Scientific
ISBN 13 : 9814497517
Total Pages : 644 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Fields Medallists' Lectures by : Michael Atiyah

Download or read book Fields Medallists' Lectures written by Michael Atiyah and published by World Scientific. This book was released on 1997-10-13 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.

The Map of My Life

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Publisher : Springer Science & Business Media
ISBN 13 : 0387797157
Total Pages : 213 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis The Map of My Life by : Goro Shimura

Download or read book The Map of My Life written by Goro Shimura and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author writes freely and often humorously about his life, beginning with his earliest childhood days. He describes his survival of American bombing raids when he was a teenager in Japan, his emergence as a researcher in a post-war university system that was seriously deficient, and his life as a mature mathematician in Princeton and in the international academic community. Every page of this memoir contains personal observations and striking stories. Such luminaries as Chevalley, Oppenheimer, Siegel, and Weil figure prominently in its anecdotes. Goro Shimura is Professor Emeritus of Mathematics at Princeton University. In 1996, he received the Leroy P. Steele Prize for Lifetime Achievement from the American Mathematical Society. He is the author of Elementary Dirichlet Series and Modular Forms (Springer 2007), Arithmeticity in the Theory of Automorphic Forms (AMS 2000), and Introduction to the Arithmetic Theory of Automorphic Functions (Princeton University Press 1971).

Collected Works

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Publisher :
ISBN 13 :
Total Pages : 1621 pages
Book Rating : 4.:/5 (488 download)

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Book Synopsis Collected Works by : Kunihiko Kodaira

Download or read book Collected Works written by Kunihiko Kodaira and published by . This book was released on 1975 with total page 1621 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Japanese Grade 7 Mathematics

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Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Japanese Grade 7 Mathematics by : Kunihiko Kodaira

Download or read book Japanese Grade 7 Mathematics written by Kunihiko Kodaira and published by . This book was released on 1992 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Compact Complex Surfaces

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Publisher : Springer
ISBN 13 : 3642577393
Total Pages : 439 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Compact Complex Surfaces by : W. Barth

Download or read book Compact Complex Surfaces written by W. Barth and published by Springer. This book was released on 2015-05-22 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged.