Cooke, Roger 1942
Overview
Works:  28 works in 159 publications in 2 languages and 4,947 library holdings 

Genres:  History Biography Conference proceedings 
Roles:  Author, Translator, Editor 
Classifications:  QA21, 510.9 
Publication Timeline
.
Most widely held works by
Roger Cooke
The history of mathematics : a brief course by
Roger Cooke(
Book
)
32 editions published between 1997 and 2013 in English and held by 1,382 WorldCat member libraries worldwide
"The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society."Jacket
32 editions published between 1997 and 2013 in English and held by 1,382 WorldCat member libraries worldwide
"The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society."Jacket
The mathematics of Sonya Kovalevskaya by
Roger Cooke(
Book
)
16 editions published between 1984 and 2012 in English and held by 625 WorldCat member libraries worldwide
16 editions published between 1984 and 2012 in English and held by 625 WorldCat member libraries worldwide
Classical algebra : its nature, origins, and uses by
Roger Cooke(
Book
)
13 editions published in 2008 in English and held by 431 WorldCat member libraries worldwide
"Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra orginally developed from classical algebraic precursors." "Complemented with a mixture of historical remarks and analyses of polynomial equations throughout, this book is excellent for mathematics courses of the undergraduate level. It also serves as a valuable resource to anyone with a general interest in mathematics."Jacket
13 editions published in 2008 in English and held by 431 WorldCat member libraries worldwide
"Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra orginally developed from classical algebraic precursors." "Complemented with a mixture of historical remarks and analyses of polynomial equations throughout, this book is excellent for mathematics courses of the undergraduate level. It also serves as a valuable resource to anyone with a general interest in mathematics."Jacket
Mathematical analysis by
V. A Zorich(
Book
)
13 editions published between 2004 and 2009 in English and held by 366 WorldCat member libraries worldwide
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions
13 editions published between 2004 and 2009 in English and held by 366 WorldCat member libraries worldwide
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions
Statistics in science : the foundations of statistical methods in biology, physics, and economics by
Roger Cooke(
Book
)
8 editions published in 1990 in English and held by 304 WorldCat member libraries worldwide
8 editions published in 1990 in English and held by 304 WorldCat member libraries worldwide
Uncertainty analysis with high dimensional dependence modelling by
Dorota Kurowicka(
Book
)
12 editions published in 2006 in English and held by 149 WorldCat member libraries worldwide
This text provides both the mathematical foundations and practical applications in this rapidly expanding area, including: an uptodate, comprehensive overview of the foundations and applications of uncertainty analysis; all the key topics, including uncertainty elicitation, dependence modelling, sensitivity analysis and probabilistic inversion; numerous worked examples and applications; workbook problems, enabling use for teaching; software support for the examples, using UNICORN  a Windowsbased uncertainty modelling package developed by the authors; and a website featuring a version of the UNICORN software tailored specifically for the book, as well as computer programs and data sets to support the examples."
12 editions published in 2006 in English and held by 149 WorldCat member libraries worldwide
This text provides both the mathematical foundations and practical applications in this rapidly expanding area, including: an uptodate, comprehensive overview of the foundations and applications of uncertainty analysis; all the key topics, including uncertainty elicitation, dependence modelling, sensitivity analysis and probabilistic inversion; numerous worked examples and applications; workbook problems, enabling use for teaching; software support for the examples, using UNICORN  a Windowsbased uncertainty modelling package developed by the authors; and a website featuring a version of the UNICORN software tailored specifically for the book, as well as computer programs and data sets to support the examples."
Lectures on partial differential equations by
V. I Arnolʹd(
Book
)
5 editions published in 2004 in English and German and held by 65 WorldCat member libraries worldwide
"Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Kortewegde Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!"Résumé de l'éditeur
5 editions published in 2004 in English and German and held by 65 WorldCat member libraries worldwide
"Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Kortewegde Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!"Résumé de l'éditeur
Ordinary differential equations by
V. I Arnolʹd(
Book
)
9 editions published between 1992 and 2006 in English and held by 59 WorldCat member libraries worldwide
Although there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased approach. All of these concepts are presented in some detail, but without assuming any background on the part of the reader beyond the scope of the standard elementary courses on analysis and linear algebra
9 editions published between 1992 and 2006 in English and held by 59 WorldCat member libraries worldwide
Although there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased approach. All of these concepts are presented in some detail, but without assuming any background on the part of the reader beyond the scope of the standard elementary courses on analysis and linear algebra
Foundations of the classical theory of partial differential equations by
I︠U︡. V Egorov(
Book
)
2 editions published between 1992 and 1998 in English and held by 42 WorldCat member libraries worldwide
From the reviews of the first printing, published as volume 30 of the Encyclopaedia of Mathematical Sciences: "... I think the volume is a great success and an excellent preparation for future volumes in the series. ... the introductory style of Egorov and Shubin is .. attractive. ... a welcome addition to the literature and I am looking forward to the appearance of more volumes of the Encyclopedia in the near future. ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for nonspecialists and physicists but in my opinion almost every specialist will find something new ... in the text. The style is clear, the notations are chosen luckily. The most characteristic feature of the work is the accurate emphasis on the fundamental notions ..." Acta Scientiarum Mathematicarum, 1993 "... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume." Monatshefte fr Mathematik, 1993 "... It is comparable in scope with the great CourantHilbert "Methods of Mathematical Physics", but it is much shorter, more up to date of course, and contains more elaborate analytical machinery. A general background in functional analysis is required, but much of the theory is explained from scratch, anad the physical background of the mathematical theory is kept clearly in mind. The book gives a good and readable overview of the subject. ... carefully written, well translated, and well produced." The Mathematical Gazette, 1993
2 editions published between 1992 and 1998 in English and held by 42 WorldCat member libraries worldwide
From the reviews of the first printing, published as volume 30 of the Encyclopaedia of Mathematical Sciences: "... I think the volume is a great success and an excellent preparation for future volumes in the series. ... the introductory style of Egorov and Shubin is .. attractive. ... a welcome addition to the literature and I am looking forward to the appearance of more volumes of the Encyclopedia in the near future. ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for nonspecialists and physicists but in my opinion almost every specialist will find something new ... in the text. The style is clear, the notations are chosen luckily. The most characteristic feature of the work is the accurate emphasis on the fundamental notions ..." Acta Scientiarum Mathematicarum, 1993 "... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume." Monatshefte fr Mathematik, 1993 "... It is comparable in scope with the great CourantHilbert "Methods of Mathematical Physics", but it is much shorter, more up to date of course, and contains more elaborate analytical machinery. A general background in functional analysis is required, but much of the theory is explained from scratch, anad the physical background of the mathematical theory is kept clearly in mind. The book gives a good and readable overview of the subject. ... carefully written, well translated, and well produced." The Mathematical Gazette, 1993
Probabilistic risk analysis : foundations and methods by
T Bedford(
Book
)
11 editions published between 2001 and 2006 in English and held by 36 WorldCat member libraries worldwide
Uncertainty, probabilistic methods, reliability, decision theory, The Critical Path Method, distributions
11 editions published between 2001 and 2006 in English and held by 36 WorldCat member libraries worldwide
Uncertainty, probabilistic methods, reliability, decision theory, The Critical Path Method, distributions
Mathematics of the 19th century(
Book
)
2 editions published in 1998 in English and held by 22 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 22 WorldCat member libraries worldwide
Mathematics of the 19th century(
Book
)
3 editions published in 1996 in English and held by 22 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 22 WorldCat member libraries worldwide
Scenes from the history of real functions by
F. A Medvedev(
Book
)
5 editions published in 1991 in English and German and held by 19 WorldCat member libraries worldwide
5 editions published in 1991 in English and German and held by 19 WorldCat member libraries worldwide
Experts in uncertainty : opinion and subjective probability in science by
Roger Cooke(
Book
)
7 editions published between 1991 and 2011 in English and held by 6 WorldCat member libraries worldwide
This volume contains an extensive survey and critical examination of current views on the use of expert opinion in scientific inquiry and policymaking
7 editions published between 1991 and 2011 in English and held by 6 WorldCat member libraries worldwide
This volume contains an extensive survey and critical examination of current views on the use of expert opinion in scientific inquiry and policymaking
Riemann, topology, and physics by
Mikhail Ilʹich Monastyrskiĭ(
Book
)
4 editions published between 1998 and 2008 in English and held by 5 WorldCat member libraries worldwide
This significantly expanded second edition of Riemann, Topology, and Physics combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics, The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Göttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics. ""The book is highly recommendablefor students and scientific workersnot o
4 editions published between 1998 and 2008 in English and held by 5 WorldCat member libraries worldwide
This significantly expanded second edition of Riemann, Topology, and Physics combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics, The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Göttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics. ""The book is highly recommendablefor students and scientific workersnot o
Mirror symmetry by
Claire Voisin(
Book
)
2 editions published in 1999 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 4 WorldCat member libraries worldwide
Uncertainty analysis : mathematical foundations and applications by
Dorota Kurowicka(
Book
)
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
Mathematical analysis I by
V. A Zorich(
Book
)
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
Theory of operators by
V. A Sadovnichiĭ(
Book
)
2 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
Uncertainty Analysis with High Dimensional Dependence Modelling. Wiley Series in Probability and Statistics(
)
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Kovalevskai︠a︡, S. V. (Sofʹi︠a︡ Vasilʹevna) 18501891
 Zorich, V. A. (Vladimir Antonovich) Author
 Costantini, Domenico Editor
 Istituto Ludovico Geymonat
 Società italiana di logica e filosofia della scienza
 Kurowicka, Dorota 1967 Author
 Wiley InterScience (Online service)
 Arnolʹd, Vladimir Igorevič (19372010) Author
 Arnol'd, Vladimir Igorevitch (1937 ...) Author
 Šubin, Mihail Aleksandrovič (1944....). Editor
Associated Subjects
Algebra Algebraic logic Analytic functions BiologyPhilosophy CalabiYau manifolds Canada Celestial mechanics Decision making Differential equations Differential equations, Partial Distribution (Probability theory) Field theory (Physics) Functions of real variables Geometry Geometry, Differential Germany Global analysis (Mathematics) Global differential geometry History Hodge theory Kovalevskai︠a︡, S. V.(Sofʹi︠a︡ Vasilʹevna), Manifolds (Mathematics) Mathematical analysis Mathematical physics Mathematicians Mathematics Mechanics, Analytic Mirror symmetry Operator theory Physical sciencesMathematics Probabilities Quantum field theory Reliability (Engineering) Reliability (Engineering)Mathematics Research ResearchStatistical methods Riemann, Bernhard, Risk assessment Science ScienceMathematics ScienceMethodology SciencePhilosophy ScienceStatistical methods Scientists Soviet Union Statistics Symmetry (Physics) Topology Uncertainty (Information theory) United States