Waerden, B. L. van der (Bartel Leendert) 19031996
Overview
Works:  607 works in 2,031 publications in 6 languages and 18,108 library holdings 

Genres:  History Periodicals Sources 
Roles:  Author, Editor, Thesis advisor, Contributor, Adapter, Annotator, Arranger, htt, Creator, Author of introduction, Other, Correspondent, Recipient, wpr 
Classifications:  QA155, 512.009 
Publication Timeline
.
Most widely held works about
B. L. van der Waerden
 The scholar and the state : in search of Van der Waerden by Alexander Soifer( )
 Zwischen zwei Disziplinen : B.L. van der Waerden und die Entwicklung der Quantenmechanik by Martina Schneider( )
 Van der Waerden in Leipzig by Rüdiger Thiele( Book )
 Oral history interview with Werner Heisenberg by Werner Heisenberg( )
 Oral history interview with Dennis William Sciama by D. W Sciama( )
 Oral history interview with Carl Friedrich Weizsacker by Carl Friedrich Weizsäcker( )
 Oral history interview with Hendrik Brugt Gerhard Casimir by H. B. G Casimir( )
 Life and fate : in search of van der Waerden by Alexander Soifer( Book )
 Van Der Waerden numbers : a search for more accurate bounds by Kathryn Benjamin( )
 by John C Slater( )
 Vandiver, H.S., Papers by H. S Vandiver( )
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Most widely held works by
B. L. van der Waerden
Science awakening by
B. L. van der Waerden(
Book
)
59 editions published between 1900 and 1988 in 3 languages and held by 1,384 WorldCat member libraries worldwide
59 editions published between 1900 and 1988 in 3 languages and held by 1,384 WorldCat member libraries worldwide
Algebra by
B. L. van der Waerden(
Book
)
59 editions published between 1955 and 2003 in German and English and held by 1,129 WorldCat member libraries worldwide
59 editions published between 1955 and 2003 in German and English and held by 1,129 WorldCat member libraries worldwide
A history of algebra : from alKhwārizmī to Emmy Noether by
B. L. van der Waerden(
Book
)
27 editions published between 1985 and 2013 in English and Spanish and held by 1,076 WorldCat member libraries worldwide
27 editions published between 1985 and 2013 in English and Spanish and held by 1,076 WorldCat member libraries worldwide
Modern algebra by
B. L. van der Waerden(
Book
)
81 editions published between 1931 and 1966 in 3 languages and held by 1,038 WorldCat member libraries worldwide
81 editions published between 1931 and 1966 in 3 languages and held by 1,038 WorldCat member libraries worldwide
Sources of quantum mechanics by
B. L. van der Waerden(
Book
)
27 editions published between 1967 and 2007 in English and held by 985 WorldCat member libraries worldwide
Although Max Planck's famous lecture of 1900 gave quantum theory its essential form, the theory as he stated it was just the beginning. In this book, Professor van der Waerden collected 17 early papers which developed quantum theory into the form in which we know it. These papers appeared from 1917 to 1926, and were written by many of the leading physicists of the early 20th century
27 editions published between 1967 and 2007 in English and held by 985 WorldCat member libraries worldwide
Although Max Planck's famous lecture of 1900 gave quantum theory its essential form, the theory as he stated it was just the beginning. In this book, Professor van der Waerden collected 17 early papers which developed quantum theory into the form in which we know it. These papers appeared from 1917 to 1926, and were written by many of the leading physicists of the early 20th century
Geometry and algebra in ancient civilizations by
B. L. van der Waerden(
Book
)
18 editions published in 1983 in English and held by 905 WorldCat member libraries worldwide
Originally, my intention was to write a "History of Algebra", in two or three volumes. In preparing the first volume I saw that in ancient civiliza tions geometry and algebra cannot well be separated: more and more sec tions on ancient geometry were added. Hence the new title of the book: "Geometry and Algebra in Ancient Civilizations". A subsequent volume on the history of modem algebra is in preparation. It will deal mainly with field theory, Galois theory and theory of groups. I want to express my deeply felt gratitude to all those who helped me in shaping this volume. In particular, I want to thank Donald Blackmore Wagner (Berkeley) who put at my disposal his English translation of the most interesting parts of the Chinese "Nine Chapters of the Art of Arith metic" and of Liu Hui's commentary to this classic, and also Jacques Se siano (Geneva), who kindly allowed me to use his translation of the re cently discovered Arabic text of four books of Diophantos not extant in Greek. Warm thanks are also due to Wyllis Bandler (Colchester, England) who read my English text very carefully and suggested several improve ments, and to Annemarie Fellmann (Frankfurt) and Erwin Neuenschwan der (Zurich) who helped me in correcting the proof sheets. Miss Fellmann also typed the manuscript and drew the figures. I also want to thank the editorial staff and production department of SpringerVerlag for their nice cooperation
18 editions published in 1983 in English and held by 905 WorldCat member libraries worldwide
Originally, my intention was to write a "History of Algebra", in two or three volumes. In preparing the first volume I saw that in ancient civiliza tions geometry and algebra cannot well be separated: more and more sec tions on ancient geometry were added. Hence the new title of the book: "Geometry and Algebra in Ancient Civilizations". A subsequent volume on the history of modem algebra is in preparation. It will deal mainly with field theory, Galois theory and theory of groups. I want to express my deeply felt gratitude to all those who helped me in shaping this volume. In particular, I want to thank Donald Blackmore Wagner (Berkeley) who put at my disposal his English translation of the most interesting parts of the Chinese "Nine Chapters of the Art of Arith metic" and of Liu Hui's commentary to this classic, and also Jacques Se siano (Geneva), who kindly allowed me to use his translation of the re cently discovered Arabic text of four books of Diophantos not extant in Greek. Warm thanks are also due to Wyllis Bandler (Colchester, England) who read my English text very carefully and suggested several improve ments, and to Annemarie Fellmann (Frankfurt) and Erwin Neuenschwan der (Zurich) who helped me in correcting the proof sheets. Miss Fellmann also typed the manuscript and drew the figures. I also want to thank the editorial staff and production department of SpringerVerlag for their nice cooperation
Group theory and quantum mechanics by
B. L. van der Waerden(
Book
)
34 editions published between 1932 and 1986 in 3 languages and held by 833 WorldCat member libraries worldwide
The German edition of this book appeared in 1932 under the title "Die gruppentheoretische Methode in der Quantenmechanik". Its aim was, to explain the fundamental notions of the Theory of Groups and their Representations, and the application of this theory to the Quantum Mechanics of Atoms and Molecules. The book was mainly written for the benefit of physicists who were supposed to be familiar with Quantum Mechanics. However, it turned out that it was also used by. mathematicians who wanted to learn Quantum Mechanics from it. Naturally, the physical parts were too difficult for mathematicians, whereas the mathematical parts were sometimes too difficult for physicists. The German language created an additional difficulty for many readers. In order to make the book more readable for physicists and mathe maticians alike, I have rewritten the whole volume. The changes are most notable in Chapters 1 and 6. In Chapter t, I have tried to give a mathematically rigorous exposition of the principles of Quantum Mechanics. This was possible because recent investigations in the theory of selfadjoint linear operators have made the mathematical foundation of Quantum Mechanics much clearer than it was in t 932. Chapter 6, on Molecule Spectra, was too much condensed in the German edition. I hope it is now easier to understand. In Chapter 25 too, numerous changes were made in order to make the book more readable and more useful
34 editions published between 1932 and 1986 in 3 languages and held by 833 WorldCat member libraries worldwide
The German edition of this book appeared in 1932 under the title "Die gruppentheoretische Methode in der Quantenmechanik". Its aim was, to explain the fundamental notions of the Theory of Groups and their Representations, and the application of this theory to the Quantum Mechanics of Atoms and Molecules. The book was mainly written for the benefit of physicists who were supposed to be familiar with Quantum Mechanics. However, it turned out that it was also used by. mathematicians who wanted to learn Quantum Mechanics from it. Naturally, the physical parts were too difficult for mathematicians, whereas the mathematical parts were sometimes too difficult for physicists. The German language created an additional difficulty for many readers. In order to make the book more readable for physicists and mathe maticians alike, I have rewritten the whole volume. The changes are most notable in Chapters 1 and 6. In Chapter t, I have tried to give a mathematically rigorous exposition of the principles of Quantum Mechanics. This was possible because recent investigations in the theory of selfadjoint linear operators have made the mathematical foundation of Quantum Mechanics much clearer than it was in t 932. Chapter 6, on Molecule Spectra, was too much condensed in the German edition. I hope it is now easier to understand. In Chapter 25 too, numerous changes were made in order to make the book more readable and more useful
Mathematical statistics by
B. L. van der Waerden(
Book
)
19 editions published between 1957 and 2013 in English and German and held by 690 WorldCat member libraries worldwide
Ever since my days as a student, economists, doctors, physiologists, biologists, and engineers have come to me with queries of a statistical nature. This book is the product of my long interest in practical solutions to such problems. Study of the literature and my own ideas have repeat edly led me to improved methods, which will be established here and applied to instructive examples taken from the natural and social sciences. Thus, I hope to help the reader avoid the many fruitless direc tions in which I worked at first. The examples are not artificially con structed from theoretical considerations but are instead taken from real situations; consequently, many of the examples require detailed explana tion. The presentation of the basic mathematical concepts is, I hope, as brief as possible without becoming incomprehensible. Some rather long theoretical arguments have been necessary, but, whenever possible, references for the more difficult proofs have been made to good text books already in existence. There would be no point in developing again the mathematical theories which have been presented clearly and in detail by Kolmogorov, Caratheodory, and Cramer
19 editions published between 1957 and 2013 in English and German and held by 690 WorldCat member libraries worldwide
Ever since my days as a student, economists, doctors, physiologists, biologists, and engineers have come to me with queries of a statistical nature. This book is the product of my long interest in practical solutions to such problems. Study of the literature and my own ideas have repeat edly led me to improved methods, which will be established here and applied to instructive examples taken from the natural and social sciences. Thus, I hope to help the reader avoid the many fruitless direc tions in which I worked at first. The examples are not artificially con structed from theoretical considerations but are instead taken from real situations; consequently, many of the examples require detailed explana tion. The presentation of the basic mathematical concepts is, I hope, as brief as possible without becoming incomprehensible. Some rather long theoretical arguments have been necessary, but, whenever possible, references for the more difficult proofs have been made to good text books already in existence. There would be no point in developing again the mathematical theories which have been presented clearly and in detail by Kolmogorov, Caratheodory, and Cramer
Moderne algebra by
B. L. van der Waerden(
Book
)
65 editions published between 1930 and 1960 in 3 languages and held by 549 WorldCat member libraries worldwide
65 editions published between 1930 and 1960 in 3 languages and held by 549 WorldCat member libraries worldwide
Gruppen von linearen Transformationen by
B. L. van der Waerden(
Book
)
27 editions published between 1935 and 1948 in German and English and held by 419 WorldCat member libraries worldwide
27 editions published between 1935 and 1948 in German and English and held by 419 WorldCat member libraries worldwide
Mathematische Statistik by
B. L. van der Waerden(
Book
)
16 editions published between 1954 and 1971 in German and English and held by 389 WorldCat member libraries worldwide
16 editions published between 1954 and 1971 in German and English and held by 389 WorldCat member libraries worldwide
Science awakening II : the birth of astronomy by
B. L. van der Waerden(
Book
)
27 editions published in 1974 in English and Undetermined and held by 284 WorldCat member libraries worldwide
Whoever wants to understand the genesis of modern Science has to follow three lines of development, all starting in antiquity, which were brought together in the work of ISAAC NEWTON, namely 1. Ancient Mathematics => DESCARTES 2. Ancient Astronomy => COPERNICUS : ~~~~ I=> NEWTON 3. Ancient Mechanics => GALILEO => HUYGENS In Science Awakening I (Dutch edition 1950, first Eng1ish edition 1954, second 1961, first German edition 1956, second 1965) I have followed the first 1ine, giving an outline of the development of Mathematics in Egypt, Babylonia, and Greece. Volume II, dealing with Egyptian and Baby1onian Astronomy first appeared in German under the title 'Die Anfänge der Astronomie' (Noordhoff, Groningen 1965 and Birkhäu ser, Basel 1968). The volume was written in collaboration with PETER HUBER (Swiss Federal School of Technology, Zürich). HUBER has written considerable parts of Chap ters 3 and 4, in particular all transcriptions of cuneiform texts in these chapters. I also had much help from ERNST WEIDNER (Graz), MARTIN VERMASEREN (Amsterdam), JOSEF JANSEN (Leiden) and MANU LEUMANN (Zürich)
27 editions published in 1974 in English and Undetermined and held by 284 WorldCat member libraries worldwide
Whoever wants to understand the genesis of modern Science has to follow three lines of development, all starting in antiquity, which were brought together in the work of ISAAC NEWTON, namely 1. Ancient Mathematics => DESCARTES 2. Ancient Astronomy => COPERNICUS : ~~~~ I=> NEWTON 3. Ancient Mechanics => GALILEO => HUYGENS In Science Awakening I (Dutch edition 1950, first Eng1ish edition 1954, second 1961, first German edition 1956, second 1965) I have followed the first 1ine, giving an outline of the development of Mathematics in Egypt, Babylonia, and Greece. Volume II, dealing with Egyptian and Baby1onian Astronomy first appeared in German under the title 'Die Anfänge der Astronomie' (Noordhoff, Groningen 1965 and Birkhäu ser, Basel 1968). The volume was written in collaboration with PETER HUBER (Swiss Federal School of Technology, Zürich). HUBER has written considerable parts of Chap ters 3 and 4, in particular all transcriptions of cuneiform texts in these chapters. I also had much help from ERNST WEIDNER (Graz), MARTIN VERMASEREN (Amsterdam), JOSEF JANSEN (Leiden) and MANU LEUMANN (Zürich)
Einführung in die algebraische Geometrie by
B. L. van der Waerden(
Book
)
9 editions published between 1939 and 1973 in German and held by 268 WorldCat member libraries worldwide
9 editions published between 1939 and 1973 in German and held by 268 WorldCat member libraries worldwide
Studien zur Theorie der quadratischen Formen by
B. L. van der Waerden(
Book
)
12 editions published in 1968 in German and English and held by 255 WorldCat member libraries worldwide
12 editions published in 1968 in German and English and held by 255 WorldCat member libraries worldwide
Science awakening I by
B. L. van der Waerden(
Book
)
32 editions published between 1954 and 1988 in English and Undetermined and held by 247 WorldCat member libraries worldwide
Soon after the publication of my"Ontwakende W etenschap"the need for an English translation was felt. We were very glad to find a translator fully familiar with the English and Dutch languages and with mathematical terminol· ogy. The publisher, Noordhoff, had the splendid idea to ask H. G. Beyen, professor of archeology, for his help in choosing a nice set of illustrations. It was a difficult task. The illustrations had to be both instructive and attractive, and they had t~ illustrate the history of science as well as the general background of ancient civilization. The publisher encouraged us to find better and still better illustrations, and he ordered photographs from all over the world, with never failing energy and enthusiasm. Mr. Beyen's highly instructive subscripts will help the reader to see the inter· relation between way of living, art, and science of the ancient world. Thanks are due to many correspondents, who have suggested additions and pointed out errors. Sections on Astrolabes and Stereographte Projection and on Archimedes' construction of the heptagon have been added. The sections on Perspective and on the Anaphorai of Hypsicles have been enlarged. In the second English edition I have incorporated an important discovery of P. Huber, which sheds new light upon the role of geometry In Babylonian algebra (see p. 73). The section on Heron's Metrics (see p. 277) was written anew, follOWing a suggestion of E. M. Bruins. Zurich. 1961 B. L
32 editions published between 1954 and 1988 in English and Undetermined and held by 247 WorldCat member libraries worldwide
Soon after the publication of my"Ontwakende W etenschap"the need for an English translation was felt. We were very glad to find a translator fully familiar with the English and Dutch languages and with mathematical terminol· ogy. The publisher, Noordhoff, had the splendid idea to ask H. G. Beyen, professor of archeology, for his help in choosing a nice set of illustrations. It was a difficult task. The illustrations had to be both instructive and attractive, and they had t~ illustrate the history of science as well as the general background of ancient civilization. The publisher encouraged us to find better and still better illustrations, and he ordered photographs from all over the world, with never failing energy and enthusiasm. Mr. Beyen's highly instructive subscripts will help the reader to see the inter· relation between way of living, art, and science of the ancient world. Thanks are due to many correspondents, who have suggested additions and pointed out errors. Sections on Astrolabes and Stereographte Projection and on Archimedes' construction of the heptagon have been added. The sections on Perspective and on the Anaphorai of Hypsicles have been enlarged. In the second English edition I have incorporated an important discovery of P. Huber, which sheds new light upon the role of geometry In Babylonian algebra (see p. 73). The section on Heron's Metrics (see p. 277) was written anew, follOWing a suggestion of E. M. Bruins. Zurich. 1961 B. L
Erwachende Wissenschaft by
B. L. van der Waerden(
Book
)
31 editions published between 1956 and 1966 in 3 languages and held by 231 WorldCat member libraries worldwide
31 editions published between 1956 and 1966 in 3 languages and held by 231 WorldCat member libraries worldwide
Die Pythagoreer : relig. Bruderschaft u. Schule d. Wiss. by
B. L. van der Waerden(
Book
)
16 editions published between 1979 and 2000 in 3 languages and held by 211 WorldCat member libraries worldwide
16 editions published between 1979 and 2000 in 3 languages and held by 211 WorldCat member libraries worldwide
Algebra by
B. L. van der Waerden(
Book
)
56 editions published between 1950 and 2003 in 5 languages and held by 206 WorldCat member libraries worldwide
56 editions published between 1950 and 2003 in 5 languages and held by 206 WorldCat member libraries worldwide
Zur algebraischen Geometrie : selected papers by
B. L. van der Waerden(
Book
)
14 editions published between 1973 and 2013 in German and English and held by 204 WorldCat member libraries worldwide
14 editions published between 1973 and 2013 in German and English and held by 204 WorldCat member libraries worldwide
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Related Identities
 Artin, Emil 18981962 Other Editor Honoree Contributor Creator Collector
 Noether, Emmy 18821935 Other Contributor Honoree Author Editor Creator Collector
 Behnke, Heinrich 18981979 Editor
 Hecke, Erich 18871947 Editor
 Carathéodory, Constantin 18731950 Editor
 Einstein, Albert 18791955 Editor
 Blumenthal, Otto 18761944 Editor
 Clebsch, Alfred 18331872 Editor
 Hilbert, David 18621943 Editor
 Neumann, Carl 18321925 Editor
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebra, Universal Astronomy Astronomy, Ancient Astronomy, AssyroBabylonian Atomic theory Blackett, P. M. S.(Patrick Maynard Stuart),Baron Blackett, Bohr, Niels, Dirac, P. A. M.(Paul Adrien Maurice), Eddington, Arthur Stanley,Sir, Einstein, Albert, Elsasser, Walter M., Fermi, Enrico, Forms, Quadratic Fowler, R. H.(Ralph Howard), Geometry, Algebraic GermanyLeipzig Gold, Thomas Group theory Heisenberg, Werner, Hoyle, Fred, Lyttleton, R. A.(Raymond Arthur) Mathematical statistics Mathematicians Mathematics Mathematics, Ancient Mathematics, Babylonian Mathematics, Egyptian Mathematics, Greek Matrices Netherlands Nuclear physics Pauli, Wolfgang, Philosophy, Ancient Pythagoras and Pythagorean school Quantum theory Rutherford, Ernest, Ryle, Martin, Sciama, D. W.(Dennis William), Science Science, Ancient Stern, Otto, Substitutions, Linear Transformation groups Transformations (Mathematics) Universität Leipzig (14091953) University of Cambridge Waerden, B. L. van der(Bartel Leendert), Wigner, Eugene Paul,
Covers
Alternative Names
B. L. Fan de wa er deng 19031996
B.L.Fandewaerdeng 19031996
Bartel Landert VanderVarden
Bartel Leendert van der Waerden Dutch mathematician and historian of mathematics (1903–1996)
Bartel Leendert van der Waerden holland matematikus
Bartel Leendert van der Waerden matematico olandese
Bartel Leendert van der Waerden matematyk holenderski
Bartel Leendert van der Waerden mathématicien néerlandais
Bartel Leendert van der Waerden Nederlands wiskundige
Bartel Leendert van der Waerden Nederlands wiskundige (19031996)
Der Waerden, B. L. van 1903199
Der Waerden, B. L. van (Bartel Leendert), 1903199
DerWaerden, Bartel L. van 19031996
Fandewaerdeng, B. L. 19031996
VanderVarden B.
VanderVarden, B. 19031996
Van der Waerden B. L.
Van der Waerden B. L. 1903
Van der Waerden, B. L. 19031996
Van der Waerden, B. L. (Bartel Leendert)
Van der Waerden, B. L. (Bartel Leendert), 1903
Van der Waerden, B. L. (Bartel Leendert), 19031996
Van der Waerden Bartel Leendert
Van der Waerden Bartel Leendert 19031996
VanDerWaerden, Bartel L. 19031996
VanDerWaerden, Bartel Leendert 19031996
Varden B.L. van der
Varden, B.L. van der 19031996
Verden, B. L. van der.
Waerden, B. L.
Waerden B.L. van der
Waerden, B.L. van der 19031996
Waerden, B. L. van der (Bartel Leendert)
Waerden, B. van der.
Waerden, Bartel L. van der.
Waerden, Bartel L. van der 1903
Waerden, Bartel L. van der 19031996
Waerden, Bartel L. van der (Bartel Leendert)
Waerden, Bartel L. van der (Bartel Leendert), 1903
Waerden, Bartel L. van der (Bartel Leendert), 19031996
Waerden, Bartel Leendert van der
Waerden, Bartel Leendert van der 1903
Waerden, Bartel Leendert van der 19031996
Waerden, Bartel Leenert van der 19031996
Waerden, Bartel van der 19031996
Бартель ван дер Варден
ВандерВарден, Б 19031996
ВандерВарден, Б. (Бартел), 19031996
ВандерВарден, Б. Л..
Ван дер Варден, Б. Л 19031996
Ван дер Варден, Б. Л. (Бартел Лендерт), 19031996
ВандерВарден Бартел Лендерт
Ван дер Варден, Бартель Леендерт
Варден Б. Л
Варден Б. Л. 1903
Варден, Б. Л. ван дер 19031996
Варден, Б. Л. ван дер (Бартел Лендерт), 19031996
Варден Бартел Лендерт вандер
بارتل لیندرت وان در واردن
바르털 레인더르트 판데르바르던
ウァルデン, ヴァン・デル
ヴェルデン, B. L. ファン・デル
ヴェルデン, ファン・デル
ヴエルデン, ファン・デル
ファン・デル・ヴェルデン
ファン・デル・ヴェルデン, B. L.
巴特尔·范德瓦尔登
范德瓦尔登
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