Griffiths, Phillip 1938
Overview
Works:  123 works in 446 publications in 3 languages and 13,063 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Contributor 
Classifications:  QA564, 512.33 
Publication Timeline
.
Most widely held works about
Phillip Griffiths
 Griffiths, Phillip A. : algebraic geometry( )
 Topics in algebraic and analytic geometry; notes from a course of Phillip Griffiths by Phillip Griffiths( )
Most widely held works by
Phillip Griffiths
Principles of algebraic geometry by
Phillip Griffiths(
Book
)
44 editions published between 1976 and 2014 in English and Russian and held by 872 WorldCat member libraries worldwide
A comprehensive, selfcontained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special top
44 editions published between 1976 and 2014 in English and Russian and held by 872 WorldCat member libraries worldwide
A comprehensive, selfcontained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special top
Rational homotopy theory and differential forms by
Phillip Griffiths(
Book
)
30 editions published between 1981 and 2013 in 3 languages and held by 464 WorldCat member libraries worldwide
Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Zentralblatt MATH (Review of First Edition) The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph. Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the wellknown Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an indepth look at differential forms and de Thams theorem on simplical complexes. In addition, Sullivans results on computing the rational homotopy type from forms is presented
30 editions published between 1981 and 2013 in 3 languages and held by 464 WorldCat member libraries worldwide
Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Zentralblatt MATH (Review of First Edition) The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph. Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the wellknown Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an indepth look at differential forms and de Thams theorem on simplical complexes. In addition, Sullivans results on computing the rational homotopy type from forms is presented
Entire holomorphic mappings in one and several complex variables by
Phillip Griffiths(
Book
)
14 editions published between 1975 and 1976 in English and held by 460 WorldCat member libraries worldwide
14 editions published between 1975 and 1976 in English and held by 460 WorldCat member libraries worldwide
Introduction to algebraic curves by
Phillip Griffiths(
Book
)
22 editions published between 1989 and 1999 in English and held by 460 WorldCat member libraries worldwide
22 editions published between 1989 and 1999 in English and held by 460 WorldCat member libraries worldwide
Topics in algebraic and analytic geometry; notes from a course of Phillip Griffiths by
Phillip Griffiths(
Book
)
24 editions published between 1974 and 2015 in English and Undetermined and held by 459 WorldCat member libraries worldwide
This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 Ktheory and Bott periodicity; 6.2 Ktheory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the AtiyahHirzebruch spectral sequence; 7.3 Ktheory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback 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
24 editions published between 1974 and 2015 in English and Undetermined and held by 459 WorldCat member libraries worldwide
This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 Ktheory and Bott periodicity; 6.2 Ktheory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the AtiyahHirzebruch spectral sequence; 7.3 Ktheory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback 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
Exterior differential systems and the calculus of variations by
Phillip Griffiths(
Book
)
21 editions published between 1982 and 1986 in 3 languages and held by 448 WorldCat member libraries worldwide
15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULERLAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; the Derived Flag, Cauchy Characteristics, and Prolongation of Exterior Differential Systems d) Derivation of the EulerLagrange Equations; Examples e) The EulerLagrange Differential System; NonDegenerate Variational Problems; Examples FIRST INTEGRALS OF THE EULERLAGRANGE SYSTEM; NOETHER'S II. 1D7 THEOREM AND EXAMPLES a) First Integrals and Noether's Theorem; Some Classical Examples; Variational Problems Algebraically Integrable by Quadratures b) Investigation of the EulerLagrange System for Some DifferentialGeometric Variational Pro~lems: 2 i) ( K ds for Plane Curves; i i) Affine Arclength; 2 iii) f K ds for Space Curves; and iv) Delauney Problem. II I. EULER EQUATIONS FOR VARIATIONAL PROBLEfiJS IN HOMOGENEOUS SPACES 161 a) Derivation of the Equations: i) Motivation; i i) Review of the Classical Case; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn; but for Curves in i i) Some Problems as in i) sn; Non Curves in iii) Euler Equations Associated to degenerate Ruled Surfaces IV
21 editions published between 1982 and 1986 in 3 languages and held by 448 WorldCat member libraries worldwide
15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULERLAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; the Derived Flag, Cauchy Characteristics, and Prolongation of Exterior Differential Systems d) Derivation of the EulerLagrange Equations; Examples e) The EulerLagrange Differential System; NonDegenerate Variational Problems; Examples FIRST INTEGRALS OF THE EULERLAGRANGE SYSTEM; NOETHER'S II. 1D7 THEOREM AND EXAMPLES a) First Integrals and Noether's Theorem; Some Classical Examples; Variational Problems Algebraically Integrable by Quadratures b) Investigation of the EulerLagrange System for Some DifferentialGeometric Variational Pro~lems: 2 i) ( K ds for Plane Curves; i i) Affine Arclength; 2 iii) f K ds for Space Curves; and iv) Delauney Problem. II I. EULER EQUATIONS FOR VARIATIONAL PROBLEfiJS IN HOMOGENEOUS SPACES 161 a) Derivation of the Equations: i) Motivation; i i) Review of the Classical Case; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn; but for Curves in i i) Some Problems as in i) sn; Non Curves in iii) Euler Equations Associated to degenerate Ruled Surfaces IV
Mathematical sciences, technology, and economic competitiveness by
James Glimm(
Book
)
9 editions published between 1991 and 1992 in English and Chinese and held by 434 WorldCat member libraries worldwide
This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industriesaircraft, petroleum, automotive, semiconductor, and telecommunicationsillustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these hightechnology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life
9 editions published between 1991 and 1992 in English and Chinese and held by 434 WorldCat member libraries worldwide
This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industriesaircraft, petroleum, automotive, semiconductor, and telecommunicationsillustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these hightechnology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life
Topics in transcendental algebraic geometry(
Book
)
14 editions published between 1983 and 1984 in English and Undetermined and held by 433 WorldCat member libraries worldwide
14 editions published between 1983 and 1984 in English and Undetermined and held by 433 WorldCat member libraries worldwide
Differential systems and isometric embeddings by
Phillip Griffiths(
Book
)
14 editions published in 1987 in English and held by 412 WorldCat member libraries worldwide
14 editions published in 1987 in English and held by 412 WorldCat member libraries worldwide
On the tangent space to the space of algebraic cycles on a smooth algebraic variety by
M Green(
Book
)
11 editions published between 2004 and 2005 in English and held by 322 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Chapter 1. Introduction; Chapter 2. The Classical Case When n = 1; Chapter 3. Differential Geometry of Symmetric Products; Chapter 4. Absolute Differentials (I); Chapter 5. Geometric Description of =Tangent Spaces; Chapter 6. Absolute Differentials (II); Chapter 7. The Extdefinition of Tangent Spaces for X an Algebraic Surface; Chapter 8. Tangents to Related Spaces; Chapter 9. Applications and Examples; Chapter 10. Speculations and Questios; Bibliography; Index
11 editions published between 2004 and 2005 in English and held by 322 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Chapter 1. Introduction; Chapter 2. The Classical Case When n = 1; Chapter 3. Differential Geometry of Symmetric Products; Chapter 4. Absolute Differentials (I); Chapter 5. Geometric Description of =Tangent Spaces; Chapter 6. Absolute Differentials (II); Chapter 7. The Extdefinition of Tangent Spaces for X an Algebraic Surface; Chapter 8. Tangents to Related Spaces; Chapter 9. Applications and Examples; Chapter 10. Speculations and Questios; Bibliography; Index
An introduction to the theory of special divisors on algebraic curves by
Phillip Griffiths(
Book
)
7 editions published in 1980 in English and held by 317 WorldCat member libraries worldwide
7 editions published in 1980 in English and held by 317 WorldCat member libraries worldwide
Exterior differential systems and EulerLagrange partial differential equations by
Robert L Bryant(
Book
)
8 editions published in 2003 in English and held by 256 WorldCat member libraries worldwide
8 editions published in 2003 in English and held by 256 WorldCat member libraries worldwide
MumfordTate groups and domains : their geometry and arithmetic by
M Green(
Book
)
14 editions published in 2012 in English and held by 241 WorldCat member libraries worldwide
MumfordTate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of MumfordTate groups and domains
14 editions published in 2012 in English and held by 241 WorldCat member libraries worldwide
MumfordTate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of MumfordTate groups and domains
Hodge theory, complex geometry, and representation theory by
M Green(
Book
)
8 editions published in 2013 in English and held by 200 WorldCat member libraries worldwide
8 editions published in 2013 in English and held by 200 WorldCat member libraries worldwide
Inspired by S.S. Chern : a memorial volume in honor of a great mathematician by
Phillip Griffiths(
Book
)
12 editions published in 2006 in English and Undetermined and held by 131 WorldCat member libraries worldwide
ShiingShen Chern (19112004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004. Chern's works span all the classic fields of diff
12 editions published in 2006 in English and Undetermined and held by 131 WorldCat member libraries worldwide
ShiingShen Chern (19112004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004. Chern's works span all the classic fields of diff
The selected works of Phillip A. Griffiths with commentary by
Phillip Griffiths(
Book
)
6 editions published in 2003 in English and held by 125 WorldCat member libraries worldwide
6 editions published in 2003 in English and held by 125 WorldCat member libraries worldwide
Hodge theory by
Dũng Tráng Lê(
Book
)
7 editions published in 2014 in English and Undetermined and held by 122 WorldCat member libraries worldwide
This book provides a comprehensive and uptodate introduction to Hodge theoryone of the central and most vibrant areas of contemporary mathematicsfrom leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and BlochBeilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students
7 editions published in 2014 in English and Undetermined and held by 122 WorldCat member libraries worldwide
This book provides a comprehensive and uptodate introduction to Hodge theoryone of the central and most vibrant areas of contemporary mathematicsfrom leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and BlochBeilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students
Geometry of algebraic curves by
E Arbarello(
Book
)
24 editions published between 1985 and 2014 in English and Undetermined and held by 115 WorldCat member libraries worldwide
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebrogeometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material will be of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as volume 267 of the same series
24 editions published between 1985 and 2014 in English and Undetermined and held by 115 WorldCat member libraries worldwide
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebrogeometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material will be of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as volume 267 of the same series
Special values of automorphic cohomology classes by
M Green(
Book
)
8 editions published in 2014 in English and held by 103 WorldCat member libraries worldwide
8 editions published in 2014 in English and held by 103 WorldCat member libraries worldwide
Chairing the mathematical sciences department of the 1990s : proceedings of a colloquium, October 2728, 1989, Arlington,
Virginia(
Book
)
3 editions published in 1990 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 5 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 National Research Council (U.S.). Board on Mathematical Sciences
 National Research Council (U.S.). Commission on Physical Sciences, Mathematics, and Applications
 Green, M. (Mark) Author
 Glimm, James
 Kerr, Matthew D. 1975 Author Contributor
 Harris, Joe 1951 Collector
 Chern, ShiingShen 19112004 Author
 Morgan, John 1946 March 21 Author
 Cattani, E. (Eduardo) 1946 Editor
 El Zein, Fouad Editor
Useful Links
Associated Subjects
Algebra Algebraic cycles Algebraic topology Algebraic varieties Analytic spaces Automorphic forms Calculus of variations Canada Cell aggregationMathematics Chern, ShiingShen, Cohomology operations College department heads Combinatorial analysis Competition, International Complex manifolds Curves, Algebraic Differentiable dynamical systems Differential equations, Partial Differential forms Divisor theory Embeddings (Mathematics) Exterior differential systems Functions of complex variables Geometry Geometry, Algebraic Geometry, Analytic Geometry, Differential Global analysis (Mathematics) Hodge theory Holomorphic mappings Homology theory Homotopy theory Lagrange equations Manifolds (Mathematics) Mathematical optimization Mathematics MathematicsResearch MathematicsStudy and teaching MumfordTate groups Penrose transform Representations of groups Riemannian manifolds Scientists Technology transfer Topology Torelli theorem United States Universities and collegesAdministration
Alternative Names
Feilipu Geliefeisi
Geliefeisi Feilipu
Griffiths, P.
Griffiths, P. 1938
Griffiths, P. A.
Griffiths, P. A. 1938
Griffiths, Phillip.
Griffiths, Phillip 1938
Griffiths, Phillip A. 1938
Griffiths, Phillip Augustus 1938
Griffiths, Pillip A. 1938
Griffits, F.
Griffits, F. 1938
Griffits, Filip 1938
Griffits, Fillip 1938
Phillip Griffiths Amerikaans wiskundige
Phillip Griffiths amerikansk matematikar
Phillip Griffiths amerikansk matematiker
Phillip Griffiths matematico statunitense
Phillip Griffiths mathématicien américain
Phillip Griffiths USamerikanischer Mathematiker
Гриффитс, Ф..
Гриффитс, Ф. А 1938
Филипп Гриффитс математик
فیلیپ گریفیتس ریاضیدان آمریکایی
필립 오거스터스 그리피스
フィリップ・グリフィス
Languages
Covers