Cucker, Felipe 1958
Overview
Works:  94 works in 332 publications in 2 languages and 8,474 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, htt, Collector, Contributor, Opponent, Thesis advisor 
Publication Timeline
.
Most widely held works by
Felipe Cucker
Manifold mirrors : the crossing paths of the arts and mathematics by
Felipe Cucker(
)
20 editions published in 2013 in English and Undetermined and held by 1,402 WorldCat member libraries worldwide
Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J.S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraintbased creation. The author provides a development in geometry, a description of how these frameworks fit the creative process within several art practices, and discusses the perceptual effects derived from the presence of particular geometric characteristics
20 editions published in 2013 in English and Undetermined and held by 1,402 WorldCat member libraries worldwide
Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J.S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraintbased creation. The author provides a development in geometry, a description of how these frameworks fit the creative process within several art practices, and discusses the perceptual effects derived from the presence of particular geometric characteristics
Foundations of computational mathematics : proceedings of the Smalefest 2000, Hong Kong, 1317, 2000 by
Felipe Cucker(
)
15 editions published in 2002 in English and held by 1,021 WorldCat member libraries worldwide
This invaluable book contains 19 papers selected from those submitted to a conference held in Hong Kong in July 2000 to celebrate the 70th birthday of Professor Steve Smale. It may be regarded as a continuation of the proceedings of SMALEFEST 1990 ("From Topology to Computation") held in Berkeley, USA, 10 years before, but with the focus on the area in which Smale worked more intensively during the '90's, namely the foundations of computational mathematics
15 editions published in 2002 in English and held by 1,021 WorldCat member libraries worldwide
This invaluable book contains 19 papers selected from those submitted to a conference held in Hong Kong in July 2000 to celebrate the 70th birthday of Professor Steve Smale. It may be regarded as a continuation of the proceedings of SMALEFEST 1990 ("From Topology to Computation") held in Berkeley, USA, 10 years before, but with the focus on the area in which Smale worked more intensively during the '90's, namely the foundations of computational mathematics
Foundations of computational mathematics, Budapest 2011 by
Foundations of Computational Mathematics (Conference)(
)
22 editions published between 2012 and 2013 in English and held by 959 WorldCat member libraries worldwide
A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and nonexperts
22 editions published between 2012 and 2013 in English and held by 959 WorldCat member libraries worldwide
A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and nonexperts
Foundations of computational mathematics, Hong Kong 2008 by
Felipe Cucker(
)
17 editions published in 2009 in English and held by 937 WorldCat member libraries worldwide
"This volume is a collection of articles based on the plenary talks presented at the 2008 meeting in Hong Kong of the Society for the Foundations of Computational Mathematics. The talks were given by some of the foremost world authorities in computational mathematics. The topics covered reflect the breadth of research within the area as well as the richness and fertility of interactions between seemingly unrelated branches of pure and applied mathematics. As a result this volume will be of interest to researchers in the field of computational mathematics and also to nonexperts who wish to gain some insight into the state of the art in this active and significant field."BOOK JACKET
17 editions published in 2009 in English and held by 937 WorldCat member libraries worldwide
"This volume is a collection of articles based on the plenary talks presented at the 2008 meeting in Hong Kong of the Society for the Foundations of Computational Mathematics. The talks were given by some of the foremost world authorities in computational mathematics. The topics covered reflect the breadth of research within the area as well as the richness and fertility of interactions between seemingly unrelated branches of pure and applied mathematics. As a result this volume will be of interest to researchers in the field of computational mathematics and also to nonexperts who wish to gain some insight into the state of the art in this active and significant field."BOOK JACKET
Foundations of computational mathematics, Minneapolis 2002 by
Felipe Cucker(
)
14 editions published in 2004 in English and held by 925 WorldCat member libraries worldwide
The Foundations of Computational Mathematics meetings are a platform for crossfertilization between numerical analysis, mathematics and computer science. This volume, first published in 2004, contains the plenary presentations, given by some of the leading authorities in the world, and topics surveyed range from optimization to computer algebra, image processing to differential equations, quantum complexity to geometry. The volume will be essential reading for all those wishing to be informed of the stateoftheart in computational mathematics
14 editions published in 2004 in English and held by 925 WorldCat member libraries worldwide
The Foundations of Computational Mathematics meetings are a platform for crossfertilization between numerical analysis, mathematics and computer science. This volume, first published in 2004, contains the plenary presentations, given by some of the leading authorities in the world, and topics surveyed range from optimization to computer algebra, image processing to differential equations, quantum complexity to geometry. The volume will be essential reading for all those wishing to be informed of the stateoftheart in computational mathematics
Condition : the geometry of numerical algorithms by
Peter Bürgisser(
)
15 editions published in 2013 in English and German and held by 578 WorldCat member libraries worldwide
This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance regarding both stability and complexity of numerical algorithms. While the role of condition was shaped in the last halfcentury, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a conditionbased course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming
15 editions published in 2013 in English and German and held by 578 WorldCat member libraries worldwide
This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance regarding both stability and complexity of numerical algorithms. While the role of condition was shaped in the last halfcentury, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a conditionbased course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming
Complexity and real computation by
Lenore Blum(
)
7 editions published between 1984 and 1998 in English and held by 535 WorldCat member libraries worldwide
The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NPcompleteness theorems of CookKarp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing
7 editions published between 1984 and 1998 in English and held by 535 WorldCat member libraries worldwide
The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NPcompleteness theorems of CookKarp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing
Learning theory : an approximation theory viewpoint by
Felipe Cucker(
Book
)
16 editions published in 2007 in English and held by 400 WorldCat member libraries worldwide
The goal of learning theory is to approximate a function from sample values. To attain this goal it draws on statistics, approximation theory and algorithmics. This book aims to give a general overview of the theoretical foundations of learnign theory
16 editions published in 2007 in English and held by 400 WorldCat member libraries worldwide
The goal of learning theory is to approximate a function from sample values. To attain this goal it draws on statistics, approximation theory and algorithmics. This book aims to give a general overview of the theoretical foundations of learnign theory
Foundations of computational mathematics : selected papers of a conference held at Rio de Janeiro, January 1997 by
Felipe Cucker(
Book
)
27 editions published between 1996 and 2003 in English and German and held by 335 WorldCat member libraries worldwide
This book contains articles corresponding to some of the talks delivered at the Foundations of Computational Mathematics (FoCM) conference at IMPA in Rio de Janeiro in January 1997. FoCM brings together a novel constellation of subjects in which the computational process itself and the foundational mathematical underpinnings of algorithms are the objects of study. The conference was organized around nine workshops: systems of algebraic equations and computational algebraic geometry, homotopy methods and real machines, information based complexity, numerical linear algebra, approximation and PDE's, optimization, differential equations and dynamical systems, relations to computer science and vision and related computational tools. The book gives the reader an idea of the state of the art in this emerging discipline
27 editions published between 1996 and 2003 in English and German and held by 335 WorldCat member libraries worldwide
This book contains articles corresponding to some of the talks delivered at the Foundations of Computational Mathematics (FoCM) conference at IMPA in Rio de Janeiro in January 1997. FoCM brings together a novel constellation of subjects in which the computational process itself and the foundational mathematical underpinnings of algorithms are the objects of study. The conference was organized around nine workshops: systems of algebraic equations and computational algebraic geometry, homotopy methods and real machines, information based complexity, numerical linear algebra, approximation and PDE's, optimization, differential equations and dynamical systems, relations to computer science and vision and related computational tools. The book gives the reader an idea of the state of the art in this emerging discipline
The collected papers of Stephen Smale by
Stephen Smale(
)
11 editions published in 2000 in English and held by 268 WorldCat member libraries worldwide
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views
11 editions published in 2000 in English and held by 268 WorldCat member libraries worldwide
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views
The collected papers of Stephen Smale by
Stephen Smale(
)
12 editions published in 2000 in English and held by 263 WorldCat member libraries worldwide
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views
12 editions published in 2000 in English and held by 263 WorldCat member libraries worldwide
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views
The collected papers of Stephen Smale by
Stephen Smale(
)
11 editions published in 2000 in English and held by 251 WorldCat member libraries worldwide
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views
11 editions published in 2000 in English and held by 251 WorldCat member libraries worldwide
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views
The collected papers of Stephen Smale by
Stephen Smale(
Book
)
1 edition published in 2000 in English and held by 143 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 143 WorldCat member libraries worldwide
Handbook of numerical analysis(
)
13 editions published between 1990 and 2003 in English and held by 88 WorldCat member libraries worldwide
13 editions published between 1990 and 2003 in English and held by 88 WorldCat member libraries worldwide
The collected papers of Stephen Smale by
Stephen Smale(
Book
)
11 editions published in 2000 in English and held by 39 WorldCat member libraries worldwide
11 editions published in 2000 in English and held by 39 WorldCat member libraries worldwide
Condition : the geometry of numerical algorithms by
Peter Bürgisser(
)
1 edition published in 2013 in English and held by 23 WorldCat member libraries worldwide
This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance regarding both stability and complexity of numerical algorithms. While the role of condition was shaped in the last halfcentury, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a conditionbased course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming
1 edition published in 2013 in English and held by 23 WorldCat member libraries worldwide
This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance regarding both stability and complexity of numerical algorithms. While the role of condition was shaped in the last halfcentury, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a conditionbased course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming
Condition : the Geometry of Numerical Algorithms by
Peter Bürgisser(
)
1 edition published in 2013 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 17 WorldCat member libraries worldwide
The collected papers by
Stephen Smale(
Book
)
1 edition published in 2000 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 15 WorldCat member libraries worldwide
Numerical and statistical aspects of tensor decompositions by
Paul Breiding(
)
1 edition published in 2017 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 15 WorldCat member libraries worldwide
The collected papers by
Stephen Smale(
Book
)
1 edition published in 2000 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 15 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Smale, Stephen 1930 Other Author Honoree
 Rojas, J. Maurice (Joseph Maurice) Other Author Editor
 Wong, Roderick 1944 Other Author Editor
 Pinkus, Allan 1946 Contributor Editor
 Todd, Michael J. 1947 Editor
 Shub, Michael Other Contributor Collector Editor
 Bürgisser, Peter 1962 Other Author Contributor
 Blum, Lenore Author
 Zhou, DingXuan
 Society for the Foundation of Computational Mathematics
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Associated Subjects
Algebra Algorithms Approximation theory ArtsMathematics Chemistry, Physical and theoreticalComputer simulation ChemistryComputer simulation ChemistryData processing Computational complexity Computational learning theory Computer algorithms Computer science Computer scienceMathematics Computer software Distribution (Probability theory) Economics Geometry Global analysis (Mathematics) Information theory Linear programming Logic, Symbolic and mathematical Mathematical optimization Mathematics MathematicsData processing Molecular structureComputer simulation Number theory Numerical analysis Realtime data processing Science and the arts Topology
Covers
Alternative Names
Cucker, F.
Cucker, F. 1958
Cucker, F. (Felipe), 1958
Cucker, Felipe
Felipe Cucker matemàtic uruguaià
Felipe Cucker matemático uruguayo
Felipe Cucker matemáticu uruguayu
Felipe Cucker matematikan uruguajan
Felipe Cucker Uruguayan mathematician
Felipe Cucker uruguayischer Mathematiker
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