Burns, Robert G.
Overview
Works:  18 works in 105 publications in 2 languages and 1,661 library holdings 

Genres:  History Biographies Sources 
Roles:  Editor, Translator, Other, Author 
Classifications:  QA445, 516 
Publication Timeline
.
Most widely held works by
Robert G Burns
Entropy and information by
M. V Volʹkenshteĭn(
)
10 editions published in 2009 in English and held by 425 WorldCat member libraries worldwide
"This treasure of popular science by the Russian biophysicist Mikhail V. Volkenstein is at last, more than twenty years after its appearance in Russian, available in English translation. As its title Entropy and Information suggests, the book deals with the thermodynamical concept of entropy and its interpretation in terms of information theory. The author shows how entropy is not to be considered a mere shadow of the central physical concept of energy, but more appropriately as a leading player in all of the major natural processes: physical, chemical, biological, evolutionary, and even cultural. The theory of entropy is thoroughly developed from its beginnings in the foundational work of Sadi Carnot and Clausius in the context of heat engines, including expositions of much of the necessary physics and mathematics, and illustrations from everyday life of the importance of entropy."Back cover
10 editions published in 2009 in English and held by 425 WorldCat member libraries worldwide
"This treasure of popular science by the Russian biophysicist Mikhail V. Volkenstein is at last, more than twenty years after its appearance in Russian, available in English translation. As its title Entropy and Information suggests, the book deals with the thermodynamical concept of entropy and its interpretation in terms of information theory. The author shows how entropy is not to be considered a mere shadow of the central physical concept of energy, but more appropriately as a leading player in all of the major natural processes: physical, chemical, biological, evolutionary, and even cultural. The theory of entropy is thoroughly developed from its beginnings in the foundational work of Sadi Carnot and Clausius in the context of heat engines, including expositions of much of the necessary physics and mathematics, and illustrations from everyday life of the importance of entropy."Back cover
Easy as [pi?] : an introduction to higher mathematics by
O. A Ivanov(
Book
)
5 editions published between 1999 and 2013 in English and held by 412 WorldCat member libraries worldwide
"This book aims at introducing the reader possessing some high school mathematics to both the higher and the more fundamental developments of the basic themes of elementary mathematics. To this end most chapters begin with a series of elementary problems, behind whose diverting formulation more advanced mathematical ideas lie hidden. These are then made explicit and further developments explored, thereby deepening and broadening the reader's understanding of mathematics  enabling him or her to see mathematics as a hologram." "The book arose from a course for potential high school teachers of mathematics taught for several years at St. Petersburg University, and nearly every chapter ends with an interesting commentary on the relevance of its subject matter to the actual classroom setting. However, it can be recommended to a much wider readership, including universitylevel mathematics majors; even the professional mathematician will derive much pleasurable instruction from reading it."Jacket
5 editions published between 1999 and 2013 in English and held by 412 WorldCat member libraries worldwide
"This book aims at introducing the reader possessing some high school mathematics to both the higher and the more fundamental developments of the basic themes of elementary mathematics. To this end most chapters begin with a series of elementary problems, behind whose diverting formulation more advanced mathematical ideas lie hidden. These are then made explicit and further developments explored, thereby deepening and broadening the reader's understanding of mathematics  enabling him or her to see mathematics as a hologram." "The book arose from a course for potential high school teachers of mathematics taught for several years at St. Petersburg University, and nearly every chapter ends with an interesting commentary on the relevance of its subject matter to the actual classroom setting. However, it can be recommended to a much wider readership, including universitylevel mathematics majors; even the professional mathematician will derive much pleasurable instruction from reading it."Jacket
Mathematician for all seasons : recollections and notes by
Hugo Steinhaus(
)
31 editions published between 2015 and 2018 in English and German and held by 370 WorldCat member libraries worldwide
This book presents, in his own words, the life of Hugo Steinhaus (1887@0394@03BC1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who @0394@03C6discovered@0394@03C7 the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus@0394@03C3s personal story of the turbulent times he survived @0394@03BC including two world wars and life postwar under the Soviet heel @0394@03BC cannot but be of consuming interest. His recounting of the fearful years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for all seasons. The present work will be of great interest not only to mathematicians wanting to learn some of the details of the mathematical blossoming that occurred in Poland in the first half of the 20th century, but also to anyone wishing to read a firsthand account of the history of those unquiet times in Europe @0394@03BC and indeed worldwide @0394@03BC by someone of uncommon intelligence and forthrightness situated near an eye of the storm
31 editions published between 2015 and 2018 in English and German and held by 370 WorldCat member libraries worldwide
This book presents, in his own words, the life of Hugo Steinhaus (1887@0394@03BC1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who @0394@03C6discovered@0394@03C7 the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus@0394@03C3s personal story of the turbulent times he survived @0394@03BC including two world wars and life postwar under the Soviet heel @0394@03BC cannot but be of consuming interest. His recounting of the fearful years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for all seasons. The present work will be of great interest not only to mathematicians wanting to learn some of the details of the mathematical blossoming that occurred in Poland in the first half of the 20th century, but also to anyone wishing to read a firsthand account of the history of those unquiet times in Europe @0394@03BC and indeed worldwide @0394@03BC by someone of uncommon intelligence and forthrightness situated near an eye of the storm
Mathematician for all seasons : recollections and notesnVol. 2 by
Hugo Steinhaus(
)
13 editions published between 2016 and 2018 in English and held by 271 WorldCat member libraries worldwide
This book presents, in his own words, the life of Hugo Steinhaus (1887–1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who "discovered" the great Stefan Banach. Exhibiting his great integrity and wit, Steinhauss personal story of the turbulent times he survived – including two world wars and life postwar under the Soviet heel – cannot but be of consuming interest. His recounting of the fearful years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for a
13 editions published between 2016 and 2018 in English and held by 271 WorldCat member libraries worldwide
This book presents, in his own words, the life of Hugo Steinhaus (1887–1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who "discovered" the great Stefan Banach. Exhibiting his great integrity and wit, Steinhauss personal story of the turbulent times he survived – including two world wars and life postwar under the Soviet heel – cannot but be of consuming interest. His recounting of the fearful years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for a
Modern geometrymethods and applications by
B. A Dubrovin(
Book
)
13 editions published between 1984 and 2010 in English and held by 49 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin ...v.1
13 editions published between 1984 and 2010 in English and held by 49 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin ...v.1
Modern geometry, methods and applications by
B. A Dubrovin(
Book
)
4 editions published between 1984 and 1992 in English and held by 33 WorldCat member libraries worldwide
Manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practicƯ able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S.P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S.P. Novikov and A.T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, reordering, and exƯ tensive elaboration of the abovementioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S.P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B.A. Dubrovin
4 editions published between 1984 and 1992 in English and held by 33 WorldCat member libraries worldwide
Manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practicƯ able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S.P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S.P. Novikov and A.T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, reordering, and exƯ tensive elaboration of the abovementioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S.P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B.A. Dubrovin
Modern geometry : methods and applications by
B. A Dubrovin(
Book
)
5 editions published between 1990 and 2010 in English and held by 30 WorldCat member libraries worldwide
5 editions published between 1990 and 2010 in English and held by 30 WorldCat member libraries worldwide
Uniformization of Riemann surfaces : revisiting a hundredyearold theorem by
Henri Paul de SaintGervais(
)
5 editions published in 2016 in English and held by 22 WorldCat member libraries worldwide
In 1907 Paul Koebe and Henri Poincaré almost simultaneously proved the uniformization theorem: Every simply connected Riemann surface is isomorphic to the plane, the open unit disc, or the sphere. It took a whole century to get to the point of stating this theorem and providing a convincing proof of it, relying as it did on prior work of Gauss, Riemann, Schwarz, Klein, Poincaré, and Koebe, among others. The present book offers an overview of the maturation process of this theorem. The evolution of the uniformization theorem took place in parallel with the emergence of modern algebraic geometry, the creation of complex analysis, the first stirrings of functional analysis, and with the flowering of the theory of differential equations and the birth of topology. The uniformization theorem was thus one of the lightning rods of 19th century mathematics. Rather than describe the history of a single theorem, our aim is to return to the original proofs, to look at these through the eyes of modern mathematicians, to enquire as to their correctness, and to attempt to make them rigorous while respecting insofar as possible the state of mathematical knowledge at the time, or, if this should prove impossible, then using modern mathematical tools not available to their authors. This book will be useful to today's mathematicians wishing to cast a glance back at the history of their discipline. It should also provide graduate students with a nonstandard approach to concepts of great importance for modern research
5 editions published in 2016 in English and held by 22 WorldCat member libraries worldwide
In 1907 Paul Koebe and Henri Poincaré almost simultaneously proved the uniformization theorem: Every simply connected Riemann surface is isomorphic to the plane, the open unit disc, or the sphere. It took a whole century to get to the point of stating this theorem and providing a convincing proof of it, relying as it did on prior work of Gauss, Riemann, Schwarz, Klein, Poincaré, and Koebe, among others. The present book offers an overview of the maturation process of this theorem. The evolution of the uniformization theorem took place in parallel with the emergence of modern algebraic geometry, the creation of complex analysis, the first stirrings of functional analysis, and with the flowering of the theory of differential equations and the birth of topology. The uniformization theorem was thus one of the lightning rods of 19th century mathematics. Rather than describe the history of a single theorem, our aim is to return to the original proofs, to look at these through the eyes of modern mathematicians, to enquire as to their correctness, and to attempt to make them rigorous while respecting insofar as possible the state of mathematical knowledge at the time, or, if this should prove impossible, then using modern mathematical tools not available to their authors. This book will be useful to today's mathematicians wishing to cast a glance back at the history of their discipline. It should also provide graduate students with a nonstandard approach to concepts of great importance for modern research
The St. Petersburg school of number theory by
B. N Delone(
Book
)
2 editions published in 2005 in English and held by 15 WorldCat member libraries worldwide
"The book acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution is presented as a summary of the author's original work and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly." "With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians and mathematicians working in number theory."Jacket
2 editions published in 2005 in English and held by 15 WorldCat member libraries worldwide
"The book acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution is presented as a summary of the author's original work and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly." "With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians and mathematicians working in number theory."Jacket
Fundamentals of the theory of groups by
M. I Kargapolov(
Book
)
3 editions published in 1979 in English and held by 13 WorldCat member libraries worldwide
3 editions published in 1979 in English and held by 13 WorldCat member libraries worldwide
Modern geometry : methods and applications by
B. A Dubrovin(
Book
)
5 editions published between 1985 and 2010 in English and held by 10 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
5 editions published between 1985 and 2010 in English and held by 10 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
Mathematician for All Seasons : Recollections and Notes, Vol. 2 (19451968) by
Hugo Steinhaus(
)
1 edition published in 2016 in English and held by 4 WorldCat member libraries worldwide
This book presents, in his own words, the life of Hugo Steinhaus (18871972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who "discovered" the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus's personal story of the turbulent times he survived  including two world wars and life postwar under the Soviet heel  cannot but be of consuming interest. His recounting of the fearful years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for all seasons. The present work will be of great interest not only to mathematicians wanting to learn some of the details of the mathematical blossoming that occurred in Poland in the first half of the 20th century, but also to anyone wishing to read a firsthand account of the history of those unquiet times in Europe  and indeed worldwide  by someone of uncommon intelligence and forthrightness situated near an eye of the storm
1 edition published in 2016 in English and held by 4 WorldCat member libraries worldwide
This book presents, in his own words, the life of Hugo Steinhaus (18871972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who "discovered" the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus's personal story of the turbulent times he survived  including two world wars and life postwar under the Soviet heel  cannot but be of consuming interest. His recounting of the fearful years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for all seasons. The present work will be of great interest not only to mathematicians wanting to learn some of the details of the mathematical blossoming that occurred in Poland in the first half of the 20th century, but also to anyone wishing to read a firsthand account of the history of those unquiet times in Europe  and indeed worldwide  by someone of uncommon intelligence and forthrightness situated near an eye of the storm
Modern geometry : methods and applications by
B. A Dubrovin(
Book
)
3 editions published between 1984 and 1985 in English and held by 4 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
3 editions published between 1984 and 1985 in English and held by 4 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
The geometry of surfaces, transformation groups and fields by
B. A Dubrovin(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Mathematician for All Seasons : Recollections and Notes Vol. 1 (18871945) by
Robert G Burns(
Book
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Introduction to homology theory by
B. A Dubrovin(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
The geometry of surfaces, transformation groups, and fields by
Robert G Burns(
Book
)
1 edition published in 1984 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1984 in English and held by 0 WorldCat member libraries worldwide
Mathematician for All Seasons by
Robert G Burns(
)
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Shenitzer, Abe Other Translator
 Steinhaus, Hugo 18871972 Author
 Weron, A. Other Editor
 Szymaniec, Irena Other Editor
 Volʹkenshteĭn, M. V. (Mikhail Vladimirovich) 19121992 Author
 Ivanov, O. A. (Oleg A.) Author
 Dubrovin, Boris Anatol'evich (19502019) Author
 Fomenko, Anatoly Timofeevich (1945....).
 Novikov, Sergej Petrovič (1938....).
 SaintGervais, Henri Paul de Author
Associated Subjects
Algebra, Homological Algebraic spaces Algebraic topology Bioinformatics Calculus of tensors Calculus of variations Cell aggregationMathematics Cobordism theory Coding theory Complex manifolds Curves, Algebraic Differentiable dynamical systems Eastern Europe Entropy Entropy (Information theory) Europe Geometry Geometry, Algebraic Geometry, Differential Geometry, Modern Global analysis (Mathematics) Global differential geometry Group theory History Homology theory Homotopy groups Homotopy theory Jet bundles (Mathematics) Jewish mathematicians Jews Manifolds (Mathematics) Mathematicians Mathematics Number theory Physics Poland Quantum theory Riemann surfaces Russia (Federation)Saint Petersburg Science Smoothness of functions Statistical physics Steinhaus, Hugo, Surfaces Surfaces, Algebraic Thermodynamics Topology Transformation groups Transformations (Mathematics)