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Functional analysis in historical perspective
Functional analysis in historical perspectiveDr. A.F. MonnaI. The development of functional analysis
II. The development of the notion of a linear space
III. General analysis
IV. Some characteristic topics
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Dirichlet's principle
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I. The origins of potential theory
II. Variational principles
III. Critisism and the developments in post critical years
IV. Hilbert and the calculus of variations
V. Complex functions and potentials
VI. Functional-analytic approach
VII. Modern developments
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1 bod
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Encounter with Mathematics
Encounter with MathematicsLars Gårding1. Models and Reality
2. Number Theory
3. Algebra
4. Geometry and Linear Algebra
5. Limits, Continuity, and Topology
6. The Heroic Century
7. Differentiation
8. Integration
9. Series
10. Probability
11. Applications
12. The Sociology, Psychology, and Teaching of Mathematics
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De vierde dimensie
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Convolutions in French Mathematics 1800-1840, Vol. I,II,III
Convolutions in French Mathematics 1800-1840, Vol. I,II,IIIIvor Grattan-GuinnessVolume I: The Settings
1. Propaedeutic
2. Institutions and individuals around the 1800s
3. The 18th-century heritage: the calculus arond 1800
4. The Lagrangian tradition in the calculus, 1800-1815
5. The 18th-century heritage: mechanics around 1800
6. Progress in mechanics, 1800-1815
7. Laplace's mathematicised molecular physics, 1804-1816
8. Aspects of engineering mathematics, 1800-1816
Volume II: The Turns
9. The ...
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A Source Book in Mathematics 1
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I. The Field of Number. Twenty-four articles trace developments from the first steps in printed arithmetic through selected number systems, to the early phases of modern number theory.
II. The Field of Algebra. Eighteen articles on algebra include writings by Fermat, John Wallis, Newton, Leibniz, Abel, Galois, etc.
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A History of Mathematics
A History of MathematicsCarl B. Boyer, Uta C. MerzbachRevised by Uta C. Merzbach
1. Origins
2. Egypt
3. Mesopotamia
4. Ionia and the Pythagoreans
5. The Heroic Age
6. The Age of Plato and Aristotle
7. Euclid of Alexandria
8. Archimedes of Syracuse
9. Apollonius of Perga
10. Greek Trigonometry and Mensuration
11. Revival and Decline of Greek Mathematics
12. China and India
13. The Arabic Hegemony
14. Europe in the Middle Ages
15. The Renaissance
16. Prelude to Modern Mathematics
17. The Tim...
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A History of Greek Mathematics, Vol. I
A History of Greek Mathematics, Vol. ISir Thomas L. HeathVolume I: From Thales to Euclid
I. Introductory
II. Greek numerical notation and arithmetical operations
III. Pythagorean arithmetic
IV. The earliest Greek geometry. Thales
V. Pythagorean geometry
VI. Progress in the elements down to Plato's time
VII. Special problems
VIII. Zeno of Elea
IX. Plato
X. From Plato to Euclid
XI. Euclid
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A History of Greek Mathematics, Vol. II
A History of Greek Mathematics, Vol. IISir Thomas L. HeathVolume II: From Aristarchus to Diophantus
XII. Aristarchus of Samos
XIII. Archimedes
XIV. Conic sections. Apollonius of Perga
XV. The successors of the great geometers
XVI. Some handbooks
XVII. Trigonometry: Hipparchus, Menelaus, Ptolemy
XVIII. Mensuration: Heron of Alexandria
XIX. Pappus of Alexandria
XX. Algebra: Diophantus of Alexandria
XXI. Commentators and Byzantines
Appendix: On Archimedes' proof of the subtangent-property of a spi...
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Ramanujan
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I. The Indian mathematician Ramanujan
II. Ramanujan and the theory of prime numbers
III. Round numbers
IV. Some more problems of the analytic theory of numbers
V. A lattice-point problem
VI. Ramanujan's work on partitions
VII. Hypergeometric series
VIII. Asymptotic theory of partitions
IX. The representation of numbers as sums of squares
X. Ramanujan's function τ(n)
XI. Definite integrals
XII. Elliptic and modular fu...
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Mathematics and Its History
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2. Greek Geometry
3. Greek Number Theory
4. Infinity in Greek Mathematics
5. Polynomial Equations
6. Analytic Geometry
7. Projective Geometry
8. Calculus
9. Infinite Series
10. The Revival of Number Theory
11. Elliptic Functions
12. Mechanics
13. Complex Numbers in Algebra
14. Complex Numbers and Curves
15. Complex Numbers and Functions
16. Differential Geometry
17. Noneuclidean Geometry
18. Group Theory
19. Topology
20. Sets,...
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Grosse Augenblicke aus der Geschichte der Mathematik
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3. Ákos Császár - Wie ist die mathematische Analysis erstanden?
4. György Bizám - "Aus dem Nichts habe ich eine neue, andere Welt erschaffen." Was ist die Bolyai-Lobatschewskische Geometrie?
5. Edit Gyarmati - Ideale Zahlen und die Fermatsche Vermutung
6. Ákos Császár - Wie sah Hilbert die Zukunft der Mathemati...
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A History of Algebraic and Differential Topology 1900-1960
A History of Algebraic and Differential Topology 1900-1960Jean DieudonnéI. Simplicial Techniques and Homology
II. The First Applications of Simplicial Methods and of Homology
III. Homotopy and its Relation to Homology
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History of Algebraic Geometry
History of Algebraic GeometryJean DieudonnéI. Introduction
II. The First Epoch - Prehistory (ca. 400 B.C. - 1630 A.D.)
III. The Second Epoch - Exploration (1630-1795)
IV. The Third Epoch - The golden age of projective geometry (1795-1850)
V. The Fourth Epoch - Riemann and birational geometry (1850-1866)
VI. The Fifth Epoch - Development and chaos (1866-1920)
VII. The Sixth Epoch - New structures in algebraic geometry (1920-1950)
VIII. The Seventh Epoch - Sheaves and schemes (1950- )
IX. Rece...
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A History of Non-Euclidean Geometry
A History of Non-Euclidean GeometryB.A. Rosenfeld1. Spherical Geometry
2. The Theory of Parallels
3. Geometric Transformations
4. Geometric Algebra and the Prehistory of Multidimensional Geometry
5. Philosophy of Space
6. Lobačevskian Geometry
7. Multidimensional Spaces
8. The Curvature of Space
9. Groups of Transformations
10. Application of Algebras
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Sets and Integration
Sets and IntegrationD. van Dalen, A.F. MonnaAn outline of the development
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A.F. Monna - The integral from Riemann to Bourbaki
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Dirichlet's principle
Dirichlet's principleDr. A.F. MonnaA mathematical comedy of errors and its influence on the development of analysis
I. The origins of potential theory
II. Variational principles
III. Critisism and the developments in post critical years
IV. Hilbert and the calculus of variations
V. Complex functions and potentials
VI. Functional-analytic approach
VII. Modern developments
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Dirk Jan Struik and his contributions to the history of mathematics
Dirk Jan Struik and his contributions to the history of mathematicsHistoria MathematicaSpeciaal nummer t.g.v. de 100ste verjaardag van Dirk Jan Struik.
O.a. artikelen van David E. Rowe, Helen May Walther, Dirk J. Struik en Gerard Alberts.
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Geschiedenis van de wiskunde
Geschiedenis van de wiskundeD.J. StruikWoord vooraf
I. Het begin
II. Het oude Oosten
III. Griekenland
IV. Het Oosten na het verval van de Griekse maatschappij
V. Het begin in West-Europa
VI. De zeventiende eeuw
VII. De achttiende eeuw
VIII. De negentiende eeuw
IX. De eerste helft der twintigste eeuw
Literatuuroverzicht
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The First Book of Euclidis Elementa
The First Book of Euclidis ElementaE.J. Dijksterhuis (Ed.)De Griekse tekst, met woordenlijst
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