GrattanGuinness, I.
Overview
Works:  104 works in 479 publications in 5 languages and 9,741 library holdings 

Genres:  History Reference works Biography Conference papers and proceedings Encyclopedias Essays 
Roles:  Author, Editor, Other, Contributor, Compiler, Honoree, Author of introduction 
Publication Timeline
.
Most widely held works by
I GrattanGuinness
The Norton history of the mathematical sciences : the rainbow of mathematics by
I GrattanGuinness(
Book
)
8 editions published in 1998 in English and held by 1,079 WorldCat member libraries worldwide
Beginning with the Babylonian and Egyptian mathematicians of antiquity, The Norton History of the Mathematical Sciences charts the growth of mathematics, through its refinement by ancient Greeks and medieval Arabs, to its systematic development by Europeans from the Middle Ages to the early twentieth century. The traditions of the Far East are also examined. The book describes the evolution of all the major aspects of the discipline: arithmetic and geometry; trigonometry and algebra; the interplay between mathematics, physics, and mathematical astronomy; and "new" branches such as probability, statistics, and mathematical economics
8 editions published in 1998 in English and held by 1,079 WorldCat member libraries worldwide
Beginning with the Babylonian and Egyptian mathematicians of antiquity, The Norton History of the Mathematical Sciences charts the growth of mathematics, through its refinement by ancient Greeks and medieval Arabs, to its systematic development by Europeans from the Middle Ages to the early twentieth century. The traditions of the Far East are also examined. The book describes the evolution of all the major aspects of the discipline: arithmetic and geometry; trigonometry and algebra; the interplay between mathematics, physics, and mathematical astronomy; and "new" branches such as probability, statistics, and mathematical economics
Companion encyclopedia of the history and philosophy of the mathematical sciences by
I GrattanGuinness(
Book
)
26 editions published between 1992 and 2004 in English and held by 932 WorldCat member libraries worldwide
26 editions published between 1992 and 2004 in English and held by 932 WorldCat member libraries worldwide
The development of the foundations of mathematical analysis from Euler to Riemann by
I GrattanGuinness(
Book
)
15 editions published in 1970 in English and held by 801 WorldCat member libraries worldwide
15 editions published in 1970 in English and held by 801 WorldCat member libraries worldwide
From the calculus to set theory, 16301910 : an introductory history by
I GrattanGuinness(
Book
)
32 editions published between 1980 and 2000 in English and Spanish and held by 618 WorldCat member libraries worldwide
32 editions published between 1980 and 2000 in English and Spanish and held by 618 WorldCat member libraries worldwide
Joseph Fourier, 17681830; a survey of his life and work, based on a critical edition of his monograph on the propagation
of heat, presented to the Institut de France in 1807 by
I GrattanGuinness(
Book
)
23 editions published in 1972 in 4 languages and held by 616 WorldCat member libraries worldwide
23 editions published in 1972 in 4 languages and held by 616 WorldCat member libraries worldwide
Dear Russell, dear Jourdain : a commentary on Russell's logic, based on his correspondence with Philip Jourdain by
I GrattanGuinness(
Book
)
20 editions published between 1977 and 1979 in English and Undetermined and held by 591 WorldCat member libraries worldwide
20 editions published between 1977 and 1979 in English and Undetermined and held by 591 WorldCat member libraries worldwide
PierreSimon Laplace, 17491827 : a life in exact science by
Charles Coulston Gillispie(
Book
)
17 editions published between 1997 and 2000 in English and Spanish and held by 545 WorldCat member libraries worldwide
PierreSimon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the fivevolume Traite de mecanique celeste (17991825) and Theorie analytique des probabilites (1812). In the former, he demonstrated mathematically the stability of the solar system in accordance with the universal Newtonian law of gravity. In the latter, he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks. These estimates of error and statistical inferences could be applied to social, medical, and legal matters, as well as to the physical sciences. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution
17 editions published between 1997 and 2000 in English and Spanish and held by 545 WorldCat member libraries worldwide
PierreSimon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the fivevolume Traite de mecanique celeste (17991825) and Theorie analytique des probabilites (1812). In the former, he demonstrated mathematically the stability of the solar system in accordance with the universal Newtonian law of gravity. In the latter, he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks. These estimates of error and statistical inferences could be applied to social, medical, and legal matters, as well as to the physical sciences. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution
The search for mathematical roots, 18701940 : logics, set theories and the foundations of mathematics from Cantor through
Russell to Gödel by
I GrattanGuinness(
Book
)
19 editions published between 2000 and 2011 in English and Undetermined and held by 491 WorldCat member libraries worldwide
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. GrattanGuinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (19101913) This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The manysided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. GrattanGuinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophersespecially those interested in the historical interaction between these disciplinesthis authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since
19 editions published between 2000 and 2011 in English and Undetermined and held by 491 WorldCat member libraries worldwide
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. GrattanGuinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (19101913) This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The manysided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. GrattanGuinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophersespecially those interested in the historical interaction between these disciplinesthis authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since
Landmark writings in Western mathematics 16401940 by
I GrattanGuinness(
Book
)
17 editions published between 2005 and 2008 in English and held by 400 WorldCat member libraries worldwide
This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items
17 editions published between 2005 and 2008 in English and held by 400 WorldCat member libraries worldwide
This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items
Convolution in French mathematics, 18001840 : from the calculus and mechanics to mathematical analysis and mathematical physics by
I GrattanGuinness(
Book
)
79 editions published between 1990 and 2014 in 3 languages and held by 369 WorldCat member libraries worldwide
79 editions published between 1990 and 2014 in 3 languages and held by 369 WorldCat member libraries worldwide
Routes of learning : highways, pathways, and byways in the history of mathematics by
I GrattanGuinness(
Book
)
8 editions published in 2009 in English and held by 352 WorldCat member libraries worldwide
These essays ponder the intellectual underpinnings of the field, examine the major topics in the history of mathematics, and recount the bizarre history of pseudomath. The author explores how people understand mathematics, the routes of learning they take as they make important discoveries and study mathematical concepts and theories.[book cover]
8 editions published in 2009 in English and held by 352 WorldCat member libraries worldwide
These essays ponder the intellectual underpinnings of the field, examine the major topics in the history of mathematics, and recount the bizarre history of pseudomath. The author explores how people understand mathematics, the routes of learning they take as they make important discoveries and study mathematical concepts and theories.[book cover]
George Boole : selected manuscripts on logic and its philosophy by
George Boole(
Book
)
17 editions published between 1997 and 2014 in English and German and held by 207 WorldCat member libraries worldwide
George Boole (18151864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread worldwide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a nontechnical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written
17 editions published between 1997 and 2014 in English and German and held by 207 WorldCat member libraries worldwide
George Boole (18151864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread worldwide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a nontechnical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written
The Fontana history of the mathematical sciences : the rainbow of mathematics by
I GrattanGuinness(
Book
)
14 editions published between 1997 and 1998 in English and held by 164 WorldCat member libraries worldwide
Betr. S. 234301: "The calculus and its consequences, 16601750", mit Bezügen zu den Bernoulli und zu Leonhard Euler
14 editions published between 1997 and 1998 in English and held by 164 WorldCat member libraries worldwide
Betr. S. 234301: "The calculus and its consequences, 16601750", mit Bezügen zu den Bernoulli und zu Leonhard Euler
The rainbow of mathematics : a history of the mathematical sciences by
I GrattanGuinness(
Book
)
6 editions published in 2000 in English and held by 131 WorldCat member libraries worldwide
6 editions published in 2000 in English and held by 131 WorldCat member libraries worldwide
Psychical research : a guide to its history, principles, and practices : in celebration of 100 years of the Society for Psychical
Research by
Society for Psychical Research (Great Britain)(
Book
)
8 editions published in 1982 in English and Undetermined and held by 124 WorldCat member libraries worldwide
8 editions published in 1982 in English and Undetermined and held by 124 WorldCat member libraries worldwide
History of the mathematical sciences by International Conference on History of Mathematical Sciences(
Book
)
10 editions published in 2004 in English and held by 104 WorldCat member libraries worldwide
Papers presented at the International Conference on History of Mathematical Sciences, held at New Delhi during 2023 December 2001
10 editions published in 2004 in English and held by 104 WorldCat member libraries worldwide
Papers presented at the International Conference on History of Mathematical Sciences, held at New Delhi during 2023 December 2001
History in mathematics education : proceedings of a workshop held at the University of Toronto, Canada, JulyAugust 1983 by
I GrattanGuinness(
Book
)
11 editions published between 1983 and 1987 in English and French and held by 78 WorldCat member libraries worldwide
11 editions published between 1983 and 1987 in English and French and held by 78 WorldCat member libraries worldwide
History and philosophy of logic by
I GrattanGuinness(
Book
)
6 editions published in 1980 in English and held by 76 WorldCat member libraries worldwide
6 editions published in 1980 in English and held by 76 WorldCat member libraries worldwide
Selected essays on the history of set theory and logics (19061918) by
Philip E. B Jourdain(
Book
)
14 editions published between 1989 and 1991 in English and Italian and held by 63 WorldCat member libraries worldwide
14 editions published between 1989 and 1991 in English and Italian and held by 63 WorldCat member libraries worldwide
Companion encyclopedia of the history and philosophy of the mathematical sciences by
I GrattanGuinness(
Book
)
12 editions published between 1992 and 2016 in English and held by 62 WorldCat member libraries worldwide
* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities* Chronological table of main events in the development of mathematics* Fully integrated index of people, events and topics* Annotated bibliographies of both classic and contemporary sources* Unique coverage of Ancient and nonWestern traditions of mathematics
12 editions published between 1992 and 2016 in English and held by 62 WorldCat member libraries worldwide
* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities* Chronological table of main events in the development of mathematics* Fully integrated index of people, events and topics* Annotated bibliographies of both classic and contemporary sources* Unique coverage of Ancient and nonWestern traditions of mathematics
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Related Identities
 Jourdain, Philip E. B. (Philip Edward Bertrand) 18791919 Author
 Fourier, JeanBaptisteJoseph 17681830 Other Author
 Bos, H. J. M. Contributor
 Russell, Bertrand 18721970
 Gillispie, Charles Coulston Author
 Fox, Robert 1938 Other Contributor
 Cooke, Roger 1942
 Laplace, Pierre Simon marquis de 17491827
 Bornet, Gérard Other Editor
 Boole, George 18151864 Author
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Associated Subjects
Academic freedom ArithmeticFoundations Astronomy Biography Boas, George, Boole, George, Buchanan, Scott, Calculus College teachers Dehn, Roy A.(Roy Arthur), Ferré, Nels F. S.(Nels Frederick Solomon), Fourier, JeanBaptisteJoseph, France Frankena, William K Gardner, Martin R Heat Intellectual life Johns Hopkins University.Department of Philosophy Jourdain, Philip E. B.(Philip Edward Bertrand), Lamprecht, Sterling P.(Sterling Power), Laplace, Pierre Simon,marquis de, Leclerc, Ivor Lewis, Clarence Irving, Lincoln, Victoria, Lindbergh, Anne Morrow, Logic Logic, Symbolic and mathematical Lowe, Victor, Mathematical analysis Mathematical physics Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching Mechanics, Analytic Morley, F. V.(Frank Vigor), Parapsychology Peirce, Charles S.(Charles Sanders), Physicists Physics Pittenger, W. Norman(William Norman), Price, Lucien, Quine, W. V.(Willard Van Orman) Russell, Bertrand, Scientists Set theory Sherburne, Donald W United States Weiss, Paul A., WolfGazo, Ernest,
Alternative Names
GrattanGuinness, I.
GrattanGuinness, I. 1941
GrattanGuinness, I. 19412014
GrattanGuinness, I. (Ivor), 19412014
GrattanGuinness, Ivor
GrattanGuinness, Ivor 1941
Grattan Guinness, Ivor 19412014
GrattanGuinness, Ivor Owen, 19412014
Guinness, I. G. 1941
Guinness, I. G. 19412014
Guinness, I. Grattan
Guinness, I. Grattan 1941
Guinness, I. Grattan 19412014
Guinness, I. Grattan (Ivor), 19412014
Guinness, I. Grattan (Ivor Grattan)
Guinness, I. Grattan (Ivor Grattan), 1941
Guinness, Ivor G. 1941
Guinness, Ivor G. 19412014
Guinness, Ivor Grattan.
Guinness Ivor Grattan 1941....
Guinness, Ivor Grattan 19412014
Ivor GrattanGuinness britischer Mathematikhistoriker
Ivor GrattanGuinness Brits wiskundige
Ivor GrattanGuinness storico britannico
آیور قراتانقینس
آیور گراتانگینس
आइवर ग्रत्तनगिनीज
アイヴァー・グラッタン＝ギネス
グラッタン=ギネス, I
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