Shenitzer, Abe
Overview
Works:  72 works in 271 publications in 5 languages and 4,941 library holdings 

Genres:  History Biography Sources 
Roles:  Translator, Editor, Author, Other, Creator, tra, Contributor 
Classifications:  QA685, B 
Publication Timeline
.
Most widely held works by
Abe Shenitzer
Geometric transformations III by
I. M I︠A︡glom(
)
18 editions published between 1973 and 2014 in English and held by 1,614 WorldCat member libraries worldwide
18 editions published between 1973 and 2014 in English and held by 1,614 WorldCat member libraries worldwide
Felix Klein and Sophus Lie : evolution of the idea of symmetry in the Nineteenth Century by
I. M I︠A︡glom(
Book
)
8 editions published in 1988 in English and Spanish and held by 524 WorldCat member libraries worldwide
8 editions published in 1988 in English and Spanish and held by 524 WorldCat member libraries worldwide
Entropy and information by
M. V Volʹkenshteĭn(
)
9 editions published in 2009 in English and held by 408 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
9 editions published in 2009 in English and held by 408 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
Geometric transformations by
I. M I︠A︡glom(
)
8 editions published between 2009 and 2011 in English and held by 391 WorldCat member libraries worldwide
8 editions published between 2009 and 2011 in English and held by 391 WorldCat member libraries worldwide
Mathematician for all seasons : recollections and notes by
Hugo Steinhaus(
)
20 editions published between 2015 and 2018 in English and German and held by 290 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 zdiscoveredy 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
20 editions published between 2015 and 2018 in English and German and held by 290 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 zdiscoveredy 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
NonEuclidean geometry in the theory of automorphic functions by
Jacques Hadamard(
Book
)
10 editions published in 1999 in English and Russian and held by 287 WorldCat member libraries worldwide
"This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts."Jacket
10 editions published in 1999 in English and Russian and held by 287 WorldCat member libraries worldwide
"This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts."Jacket
Mathematical evolutions(
Book
)
6 editions published in 2002 in English and held by 260 WorldCat member libraries worldwide
6 editions published in 2002 in English and held by 260 WorldCat member libraries worldwide
Mathematician for all seasons : recollections and notesnVol. 2 by
Hugo Steinhaus(
)
7 editions published between 2016 and 2018 in English and held by 219 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 zdiscoveredy 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
7 editions published between 2016 and 2018 in English and held by 219 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 zdiscoveredy 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
Lectures on partial differential equations by
I. G Petrovskiĭ(
Book
)
11 editions published between 1954 and 1991 in English and held by 123 WorldCat member libraries worldwide
30. Theorems on the fundamental properties of harmonic functions 31. Proof of the existence of a solution of Dirichlet's problem; 32. The exterior Dirichlet problem; 33. The Neumann problem (the second boundaryvalue problem); 34. Potential theory; 35. Application of potential theory to the solution of boundaryvalue problems; 36. Approximate solution of the Dirichlet problem by the method of finite differences; 37. Survey of the most important results for general elliptic equations; CHAPTER IV  PARABOLIC EQUATIONS
11 editions published between 1954 and 1991 in English and held by 123 WorldCat member libraries worldwide
30. Theorems on the fundamental properties of harmonic functions 31. Proof of the existence of a solution of Dirichlet's problem; 32. The exterior Dirichlet problem; 33. The Neumann problem (the second boundaryvalue problem); 34. Potential theory; 35. Application of potential theory to the solution of boundaryvalue problems; 36. Approximate solution of the Dirichlet problem by the method of finite differences; 37. Survey of the most important results for general elliptic equations; CHAPTER IV  PARABOLIC EQUATIONS
Noneuclidean geometry by
Herbert Meschkowski(
)
10 editions published between 1964 and 1965 in 3 languages and held by 68 WorldCat member libraries worldwide
Noneuclidean Geometry focuses on the principles, methodologies, approaches, and importance of noneuclidean geometry in the study of mathematics. The book first offers information on proofs and definitions and Hilbert's system of axioms, including axioms of connection, order, congruence, and continuity and the axiom of parallels. The publication also ponders on lemmas, as well as pencil of circles, inversion, and cross ratio. The text examines the elementary theorems of hyperbolic geometry, particularly noting the value of hyperbolic geometry in noneuclidian geometry, use of the
10 editions published between 1964 and 1965 in 3 languages and held by 68 WorldCat member libraries worldwide
Noneuclidean Geometry focuses on the principles, methodologies, approaches, and importance of noneuclidean geometry in the study of mathematics. The book first offers information on proofs and definitions and Hilbert's system of axioms, including axioms of connection, order, congruence, and continuity and the axiom of parallels. The publication also ponders on lemmas, as well as pencil of circles, inversion, and cross ratio. The text examines the elementary theorems of hyperbolic geometry, particularly noting the value of hyperbolic geometry in noneuclidian geometry, use of the
Quadratic forms and matrices, an introductory approach by
N. V Efimov(
)
7 editions published in 1964 in English and held by 65 WorldCat member libraries worldwide
Quadratic Forms and Matrices: An Introductory Approach focuses on the principles, processes, methodologies, and approaches involved in the study of quadratic forms and matrices. The publication first offers information on the general theory of quadratic curves, including reduction to canonical form of the general equation of a quadratic curve, invariants and classification, reduction to canonical form of the equation of a quadratic curve with center at the origin, and transformation of coordinates in the plane. The text then examines the general theory of quadratic surfaces. Topics inc
7 editions published in 1964 in English and held by 65 WorldCat member libraries worldwide
Quadratic Forms and Matrices: An Introductory Approach focuses on the principles, processes, methodologies, and approaches involved in the study of quadratic forms and matrices. The publication first offers information on the general theory of quadratic curves, including reduction to canonical form of the general equation of a quadratic curve, invariants and classification, reduction to canonical form of the equation of a quadratic curve with center at the origin, and transformation of coordinates in the plane. The text then examines the general theory of quadratic surfaces. Topics inc
Lectures on linear algebra by
I. M Gelʹfand(
Book
)
17 editions published between 1961 and 1989 in 3 languages and held by 61 WorldCat member libraries worldwide
17 editions published between 1961 and 1989 in 3 languages and held by 61 WorldCat member libraries worldwide
Geometric transformations by
I. M I︠A︡glom(
)
5 editions published in 1968 in English and held by 58 WorldCat member libraries worldwide
"This book is the sequel to Geometric Transformations I which appeared in this series in 1962. Part I treats lengthpreserving transformations, this volume treats shapepreserving transformations; and Part III treats affine and protective transformations. These classes of transformations play a fundamental role in the grouptheoretic approach to geometry. As in the previous volume, the treatment is direct and simple. The introduction of each new idea is supplemented by problems whose solutions employ the idea just presented, and whose detailed solutions are given in the second half of the book."Publisher's description
5 editions published in 1968 in English and held by 58 WorldCat member libraries worldwide
"This book is the sequel to Geometric Transformations I which appeared in this series in 1962. Part I treats lengthpreserving transformations, this volume treats shapepreserving transformations; and Part III treats affine and protective transformations. These classes of transformations play a fundamental role in the grouptheoretic approach to geometry. As in the previous volume, the treatment is direct and simple. The introduction of each new idea is supplemented by problems whose solutions employ the idea just presented, and whose detailed solutions are given in the second half of the book."Publisher's description
Geometric transformations I by
I. M I︠A︡glom(
)
5 editions published in 1975 in English and held by 56 WorldCat member libraries worldwide
5 editions published in 1975 in English and held by 56 WorldCat member libraries worldwide
Bernhard Riemann, 18261866 : turning points in the conception of mathematics by
Detlef Laugwitz(
Book
)
11 editions published between 1998 and 2011 in English and held by 55 WorldCat member libraries worldwide
This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context. This illuminating Englishlanguage version of the original German edition will be an important contribution to the literature of the history of mathematics. [source : 4ème de couv.]
11 editions published between 1998 and 2011 in English and held by 55 WorldCat member libraries worldwide
This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context. This illuminating Englishlanguage version of the original German edition will be an important contribution to the literature of the history of mathematics. [source : 4ème de couv.]
Topics in complex function theory by
C. L Siegel(
Book
)
7 editions published between 1969 and 1988 in English and held by 39 WorldCat member libraries worldwide
7 editions published between 1969 and 1988 in English and held by 39 WorldCat member libraries worldwide
A simple nonEuclidean geometry and its physical basis : an elementary account of Galilean geometry and the Galilean principle
of relativity by
I. M I︠A︡glom(
Book
)
6 editions published in 1979 in English and Undetermined and held by 39 WorldCat member libraries worldwide
There are many technical and popular accounts, both in Russian and in other languages, of the nonEuclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' collegesa reflec tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is not surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of "nonuniqueness" of geometry; of the existence of many geometric systems
6 editions published in 1979 in English and Undetermined and held by 39 WorldCat member libraries worldwide
There are many technical and popular accounts, both in Russian and in other languages, of the nonEuclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' collegesa reflec tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is not surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of "nonuniqueness" of geometry; of the existence of many geometric systems
Stories about maxima and minima by
V. M Tikhomirov(
Book
)
5 editions published between 1990 and 1995 in English and held by 33 WorldCat member libraries worldwide
Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the pastEuclid, Archimedes, Heron, the Bernoullis, Newton, and many otherstook part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of prob
5 editions published between 1990 and 1995 in English and held by 33 WorldCat member libraries worldwide
Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the pastEuclid, Archimedes, Heron, the Bernoullis, Newton, and many otherstook part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of prob
A history of nonEuclidean geometry : evolution of the concept of a geometric space by
B. A Rozenfelʹd(
Book
)
3 editions published between 1987 and 1988 in English and held by 30 WorldCat member libraries worldwide
This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. The author goes on to discuss concepts such as multidimensional spaces and curvature, and transformation groups. The book ends with a chapter describing the applications of nonassociative algebras to geometry
3 editions published between 1987 and 1988 in English and held by 30 WorldCat member libraries worldwide
This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. The author goes on to discuss concepts such as multidimensional spaces and curvature, and transformation groups. The book ends with a chapter describing the applications of nonassociative algebras to geometry
In search of infinity by
N. I︠A︡ Vilenkin(
Book
)
7 editions published in 1995 in English and held by 24 WorldCat member libraries worldwide
The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars adn lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet it has produced a series of paradoxes that have led many scholars to doubt the soundness of its foundations. The author of this book presents a popularlevel account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In so doing, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world.  from back cover
7 editions published in 1995 in English and held by 24 WorldCat member libraries worldwide
The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars adn lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet it has produced a series of paradoxes that have led many scholars to doubt the soundness of its foundations. The author of this book presents a popularlevel account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In so doing, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world.  from back cover
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Related Identities
 I︠A︡glom, I. M. (Isaak Moiseevich) 19211988 Author
 Burns, Robert G. Translator Editor
 Grant, Hardy Translator Editor Collector
 Steinhaus, Hugo 18871972 Author
 Lie, Sophus 18421899
 Klein, Felix 18491925
 Weron, A. Other Editor
 Szymaniec, Irena Other Editor
 Volʹkenshteĭn, M. V. (Mikhail Vladimirovich) 19121992 Author
 Hadamard, Jacques 18651963 Author
Associated Subjects
Algebra Algebras, Linear Astronomy Automorphic functions Bioinformatics Calculus of tensors Calculus of variations Coding theory Differential equations, Partial Elliptic functions Entropy Entropy (Information theory) Europe Europe, Eastern Forms, Quadratic Functions, Entire Functions of complex variables Geometry Geometry, Modern Geometry, ModernPlane Geometry, NonEuclidean Germany History Infinite Inversions (Geometry) Jewish mathematicians Jews Klein, Felix, Lie, Sophus, Linear operators Logic, Symbolic and mathematical Mathematical optimization Mathematical physics Mathematicians Mathematics Matrices Maxima and minima Physics Poland Quantum theory Relativity (Physics) Riemann, Bernhard, Science Set theory Statistical physics Steinhaus, Hugo, Substitutions, Linear Symmetry Thermodynamics Transformations (Mathematics)