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Functional analysis in historical perspective
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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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Encounter with Mathematics
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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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II. Niet-Euclidische Meetkunde
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Convolutions in French Mathematics 1800-1840, Vol. I,II,III
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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
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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
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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
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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
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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
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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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Dirk Jan Struik and his contributions to the history of mathematics
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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
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The Arenarius of Archimedes
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100 Great Problems of Elementary Mathematics: Their History and Solution
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Problems Concerning Conic Sections and Cycloids
Stereometric Problems
Nautical and Astronomical Problems
Extremes
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Mathematics - Queen and Servant of Science
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2. Mathematical truth
3. Breaking bounds
4. "The same, yet not the same"
5. The art of abstraction
6. Oaks from acorns
7. Pictorial thinking
8. Landmarks old and new
9. Groups
10. A metrical universe
11. The queen of mathematics
12. Abstraction and prediction
13. From Cyzicus to Neptune
14. Two kinds of picture
15. The chief instrument of applied mathematics
16. Further calculuses
17. Waves and vibrations
18. Choice and chance
...
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Men of Mathematics
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2. Modern minds in ancient bodies-Zeno, Eudoxus, Archimedes
3. Gentleman, soldier, and mathematician-Descartes
4. The prince of amateurs-Fermat
5. 'Greatness and misery of man'-Pascal
6. On the seashore-Newton
7. Master of all trades-Leibniz
8. Nature of nurture?-The Bernoullis
9. Analysis incarnate-Euler
10. A lofty pyramid-Lagrange
11. From peasant to snob-Laplace
12. Friends of an emperor-Monge, Fourier
13. The day of glory-Poncelet
14. The prince of...
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Logic Machines and Diagrams
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2. Logic Diagrams
3. A Network Diagram for the Propositional Calculus
4. The Stanhope Demonstrator
5. Jevon's Logic Machine
6. Marquand's Machine and Others
7. Window Cards
8. Early Electrical Machines
9. Machine Intelligence
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Inleiding in de Niet-Euclidische Meetkunde op Historischen Grondslag
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II. De grondleggers der niet-Euclidische meetkunde
III. De analytische ruimteleer
IV. De projectieve en de groepentheoretische richting
V. De moderne axiomatica
VI. Hyperbolische meetkunde
VII. Elliptische meetkunde
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Een kwart eeuw wiskunde 1946-1971
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H. Freudenthal - Vijfentwintig jaar wiskundige ideeën en methoden
F. van der Blij - Getaltheorie 1946-1971
J.J. Seidel - Van recreatie naar toepassing, van meetkunde naar codes, grafen en groepen
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A. van Wijngaarden - Ontwikkelingen op computergebied
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Het verhaal van de wiskunde
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Petrus Ramus en de wiskunde
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I. Ramus en zijn medewerkers op wiskundig terrein
1. Ramus
2. De medewerkers van Ramus
3. Corpus matheseos
II. De leerboeken van Ramus en hun betekenis
4. Arithmetica en algebra
5. De geometria
6. De betekenis van Ramus' wiskundige werken
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The Art of the Infinite
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2. How Do We Hold These Truths?
3. Designs on a Locked Chest
Interlude: The Infinite and the Indefinite
4. Skipping Stones
5. Euclid Alone
Interlude: Longing and the Infinite
6. The Eagle of Algebra
7. Into the Highlands
Interlude: The Infinite and the Unknown
8. Back of Beyond
9. The Abyss
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Het Wiskunde Boek
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A History of the Mathematical Theory of Probability - from the time of Pascal to that of Laplace
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II - PASCAL AND FERMAT
III - HUYGENS
IV - ON COMBINATIONS
V - MORTALITY AND LIFE INSURANCE
VI - MISCELLANEOUS INVESTIGATIONS BETWEEN THE YEARS 1670 AND 1700
VII - JAMES BERNOULLI
VIII - MONTMORT
IX - DE MOIVRE
X - MISCELLANEOUS INVESTIGATIONS BETWEEN THE YEARS 1700 AND 1750
XI - DANIEL BERNOULLI
XII - EULER
XIII - D'ALEMBERT
XIV - BAYES
XV - LAGRANGE
XVI - MISCE...
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Weg van het cijferen - Rekenmethodes vanaf 1800 tot heden
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2. Opkomst heuristische rekenmethodes 1875-1900
3. Pendelen tussen Bartjens en Versluys 1900-1950
4. Richtingen in het traditionele rekenen 1950-1985
5. Naar een nationaal rekenprogramma 1985-1990
6. De stille rekenrevolutie 1990-2010
7. Overzicht 1800-2010
Appendix: Balans van de vernieuwing 1985-2010
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Vroeger, 40 historische columns over het rekenonderwijs
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Actoren en factoren achter het wiskundecurriculum sinds 1600
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I Inleiding
II De Duytsche Mathematiue in Leiden, 1600–1681
III De Fundati van Renswoude in Utrecht, 1756–1810
IV De HBS in Nederland, 1863–1900
V Lessen voor de 21e eeuw
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Women in Mathematics
Women in MathematicsLynn M. OsenHistory
Hypatia, 370-415
From the Dark Ages to the Renaissance: The "Witch" of Agnesi, 1718-1799
Emilie de Breteuil, Marquise du Châtelet, 1706-1749
Caroline Herschel, 1750-1848
Sophie Germain, 1776-1831
Mary Fairfax Somerville, 1780-1872
Sonya Corvin-Krukovsky Kovalevsky, 1850-1891
Emmy (Amalie) Noether, 1882-1935
The Golden Age of Mathematics
The Feminine Mathtique
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Weltgeschichte der Zahlen
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2. Jenseits von Zählen und Rechnen: Symbole, Mythen und Magie
3. Zahlwortsysteme im Vergleich
4. Der chinesische Kulturkreis
5. Die Hochkulturen Altamerikas
6. Die frühen Hochkulturen der Alten Welt
7. Hebräische Zahlenschreibung und Zahlenmystik
8. Die europäische Antike
9. Der Weg der indisch-arabischen Ziffern nach Europa
10. Das binäre System
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Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert
Vorlesungen über die Entwicklung der Mathematik im 19. JahrhundertFelix KleinAusgabe in einem Band
1. Gauss
2. Frankreich und die École Polytechnique in den ersten Jahrzehnten des 19. Jahrhunderts
3. Die Gründung des Crelleschen Journals und das Aufblühen der reinen Mathematik in Deutschland
4. Die Entwicklung der algebraischen Geometrie über Moebius, Plücker und Steiner hinaus
5. Mechanik und mathematische Physik in Deutschland und England bis etwa 1880
6. Die allgemeine Funktionentheori...
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Geschiedenis der Logica
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II. Middeleeuwse Logica
III. Nieuwere Logica
IV. Moderne Logica
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Wortels van de wiskunde
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De geschiedenis van de wiskunde in een grote notendop
Schetsen
1. Alles telt: Het noteren van gehele getallen
2. Daar kun je mee lezen en schrijven: De herkomst van de rekensymbolen
3. Als niets komt tot iets: De oorsprong van nul
4. Gebroken getallen: Breuken noteren
5. Minder dan niets?: Negatieve getallen
6. Met stappen van tien: Meten en wegen
7. Het meten van de cirkel: Het verhaal van π
8. De ...
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Van Rekeningh in Spelen van Geluck
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Inleiding
Afbeeldingen
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Noten
Toelichtingen
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