Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths.
The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, or...
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Griffiths, Phillip A., author. aut http://id.loc.gov/vocabulary/relators/aut Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths. Princeton, NJ : Princeton University Press, [2016] ©1976 1 online resource (110 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 85 Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order.Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Holomorphic mappings. MATHEMATICS / Calculus. bisacsh Algebraic variety. Analytic function. Analytic set. Armand Borel. Big O notation. Canonical bundle. Cartesian coordinate system. Characteristic function (probability theory). Characterization (mathematics). Chern class. Compact Riemann surface. Compact space. Complex analysis. Complex manifold. Complex projective space. Corollary. Counting. Curvature. Degeneracy (mathematics). Derivative. Differential form. Dimension. Divisor. Elementary proof. Entire function. Equation. Exponential growth. Gaussian curvature. Hermann Weyl. Hodge theory. Holomorphic function. Hyperplane. Hypersurface. Infinite product. Integral geometry. Invariant measure. Inverse problem. Jacobian matrix and determinant. Kähler manifold. Line bundle. Linear equation. Logarithmic derivative. Manifold. Meromorphic function. Modular form. Monograph. Nevanlinna theory. Nonlinear system. Phillip Griffiths. Picard theorem. Polynomial. Projective space. Q.E.D. Quantity. Ricci curvature. Riemann sphere. Scientific notation. Several complex variables. Special case. Stokes' theorem. Subset. Summation. Theorem. Theory. Uniformization theorem. Unit square. Volume form. Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691081724 https://doi.org/10.1515/9781400881482 https://www.degruyter.com/isbn/9781400881482 Cover https://www.degruyter.com/document/cover/isbn/9781400881482/original |
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Griffiths, Phillip A., Griffiths, Phillip A., Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Annals of Mathematics Studies ; Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
author_facet |
Griffiths, Phillip A., Griffiths, Phillip A., |
author_variant |
p a g pa pag p a g pa pag |
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VerfasserIn VerfasserIn |
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Griffiths, Phillip A., |
title |
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / |
title_full |
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths. |
title_fullStr |
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths. |
title_full_unstemmed |
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths. |
title_auth |
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / |
title_alt |
Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
title_new |
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / |
title_sort |
entire holomorphic mappings in one and several complex variables. (am-85), volume 85 / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (110 p.) Issued also in print. |
contents |
Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
isbn |
9781400881482 9783110494914 9783110442496 9780691081724 |
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Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA331 |
callnumber-sort |
QA 3331 G753 41976EB |
url |
https://doi.org/10.1515/9781400881482 https://www.degruyter.com/isbn/9781400881482 https://www.degruyter.com/document/cover/isbn/9781400881482/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.9 |
dewey-sort |
3515 19 |
dewey-raw |
515/.9 |
dewey-search |
515/.9 |
doi_str_mv |
10.1515/9781400881482 |
oclc_num |
979911331 |
work_keys_str_mv |
AT griffithsphillipa entireholomorphicmappingsinoneandseveralcomplexvariablesam85volume85 |
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ids_txt_mv |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / |
container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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