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1.

図書
図書
1. Going underground : the science and history of falling through the Earth (pbk)
Martin Beech
出版情報: Singapore : World Scientific Publishing, c2019  xi, 276 p. ; 23 cm
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目次情報: 続きを見る
Introduction
A Long Distraction / Chapter 1：
Wishing Well / Chapter 2：
Cymro's Problem / Chapter 3：
The Heat of Ages / Chapter 4：
Terricola's Questions / Chapter 5：
Flamsteed's Well / Chapter 6：
Airy Underground / Chapter 7：
A Mind's Eye View / Chapter 8：
Tik-Tok's Tumble / Chapter 9：
Eratosthenes's Well / Chapter 10：
Aristotle's Stop and the Merton Calculators / Chapter 11：
Galileo's Constant Cannonball / Chapter 12：
Hooke's Bullet and Newton's Cannon / Chapter 13：
Newton's Canals / Chapter 14：
Halley's Hollow Earth / Chapter 15：
Dr. Akakia's Diatribe and Euler's Miracle / Chapter 16：
Collignon's Slant / Chapter 17：
Fastest Descent / Chapter 18：
The Kola Pin-Prick and the Iron Blob / Chapter 19：
A Black Hole Falling / Chapter 20：
The Elephant in the Room / Chapter 21：
First and Last Thoughts / Chapter 22：
Appendix: Mathematical Details
Notes and Selected References
Index
Introduction
A Long Distraction / Chapter 1：
Wishing Well / Chapter 2：
2.

図書
図書
2. Éléments d'histoire des mathématiques. Nouv. tirage
Nicolas Bourbaki
出版情報: Paris : Masson, c1984  376 p. ; 21 cm
シリーズ名: Éléments de mathématique / par N. Bourbaki
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3.

図書
図書
3. Tales of physicists and mathematicians (: Boston ; : Basel)
Semyon Grigorevich Gindikin ; translated by Alan Shuchat
出版情報: Boston : Birkhäuser, c1988  x, 157 p. ; 24 cm
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4.

図書
図書
4. A short account of the history of mathematics
by W.W. Rouse Ball
出版情報: New York : Dover, 1960  xxiv, 522 p. ; 21 cm
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5.

図書
図書
5. Calculus : an historical approach (us ; gw)
William McGowen Priestley
出版情報: New York ; Berlin : Springer, c1979  xvi, 441 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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6.

図書
図書
6. The history of mathematics : a reader (: pbk)
edited by John Fauvel and Jeremy Gray at the Open University
出版情報: Basingstoke : Macmillan , Milton Keynes : In association with the Open University, 1987  xxiv, 628 p. ; 26 cm
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7.

図書
図書
7. Number theory and its history. 1st ed
by Oystein Ore
出版情報: New York : McGraw-Hill, 1948  x, 370 p. ; 21 cm
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8.

図書
図書
8. Mathematics from manuscript to print, 1300-1600
edited by Cynthia Hay
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York ; Tokyo : Oxford University Press, 1988  viii, 273 p. ; 24 cm
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目次情報: 続きを見る
Introduction / C. Hay
Italian and Provencal Mathematics / Part 1：
The Italian Algebra of the Fourteenth Century / R. Franci ; L. Toti-Rigatelli1：
On an Algorithm for the Approximation of Surds from a Provencal Treatise / J. Sesiano2：
Nicolas Chuquet and French Mathematics / Part 2：
Nicolas Chuquet: An Introduction / G. Flegg3：
The Place of Nicolas Chuquet in a Typology of Fifteenth-Century French Arithmetics / G. Beaujouan4：
Concerning the Methods Employed by Nicolas Chuquet for the Extraction of Cube Roots / H. L'Huillier5：
The Commercial Arithmetic of Nicolas Chuquet / P.Benoit6：
Chuquet's Mathematical Executor: Could Etienne de la Roche Have Changed the History of Algebra? / B. Moss7：
Mathematics in the Sixteenth Century / Part 3：
What Can We Learn From Master Christianus van Varenbraken? / M. Kool8：
A Note on Rudolf Snellius and the Early History of Mathematics in Leiden / K. van Berkel9：
The First Arithmetic Book of Francisco Maurolico, Written in 1557 and Printed in 1575: A Step Towards a Theory of Numbers / J. Cassinet10：
Mathematics and Its Ramifications / Part 4：
Is Translation Betrayal in the History of Mathematics? / 11：
Renaissance Mathematics and Astronomy in Baldassare Boncompagni's "Bullettino di bibliografia e di storia della scienze matematiche e fisich" (1868-1817) / S.A. Jayawardene12：
Some Early Sources in Recreational Mathematics / D. Singmaster13：
Henry Cornelius Agrippa's Mathematical Magic / A.G. Molland14：
The Marketplace and Games (Of Chance) in the Fifteenth and Sixteenth Centuries / I. Schneider15：
Perspective and the Mathematicians: Alberti to Desargues / J.V. Field16：
Why Did Mathematics Begin to Take Off in the Sixteenth Century? / G.J. Whitrow17：
Introduction / C. Hay
Italian and Provencal Mathematics / Part 1：
The Italian Algebra of the Fourteenth Century / R. Franci ; L. Toti-Rigatelli1：
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図書
図書
9. Raum und Zahl
Kurt Reidemeister
出版情報: Berlin : Springer, 1957  vi, 151 p. ; 23 cm
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10.

図書
図書
10. An introduction to the history of mathematics. Rev. ed
Howard Eves
出版情報: New York : Holt, Rinehart and Winston, 1964  xvi, 439 p. ; 24 cm
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11.

図書
図書
11. A brief history of mathematics : an authorized translation of Dr. Karl Fink's Geschichte der elementar-mathematik
by Wooster Woodruff Beman ... and David Eugene Smith ...
出版情報: Chicago : The Open court publishing company, 1900  xii, 333 p ; 21 cm
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12.

図書
図書
12. The mathematics of measurement : a critical history (: Athlone ; : Springer-Verlag)
John J. Roche
出版情報: London : Athlone , New York : Springer-Verlag, 1998  x, 330 p. ; 25 cm
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13.

図書
図書
13. The Norton history of the mathematical sciences : the rainbow of mathematics. 1st American ed
Ivor Grattan-Guinness
出版情報: New York : W. W. Norton, 1998, c1997  817 p. ; 25 cm
シリーズ名: Norton history of science
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14.

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図書
14. Mathematics : from the birth of numbers
Jan Gullberg ; technical illustrations, Pär Gullberg
出版情報: New York : W.W. Norton, c1997  xxiii, 1093 p. ; 26 cm
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15.

図書
図書
15. Mathematics as a cultural system
by Raymond L. Wilder
出版情報: Oxford ; New York : Pergamon Press, c1981  xii, 182 p. ; 22 cm
シリーズ名: Foundations and philosophy of science and technology series
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16.

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図書
16. A history of mathematics (: pbk)
Carl B. Boyer
出版情報: Princeton, N.J. : Princeton University Press, 1985, c1968  xv, 717 p. ; 23 cm
シリーズ名: Princeton paperbacks
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目次情報: 続きを見る
Origins
Egypt
Mesopotamia
Ionia and the Pythagoreans
The Heroic Age
The Age of Plato and Aristotle
Euclid of Alexandria
Archimedes of Syracuse
Apollonius of Perga
Greek Trigonometry and Mensuration
Revival and Decline of Greek Mathematics
China and India
The Arabic Hegemony
Europe in the Middle Ages
The Renaissance
Prelude to Modern Mathematics
The Time of Fermat and Descartes
A Transitional Period
Newton and Leibniz
The Bernoulli Era
The Age of Euler
Mathematicians of the French Revolution
The Time of Gauss and Cauchy
Geometry
Analysis
Algebra
Poincare and Hilbert
Aspects of the Twentieth Century
References
General Bibliography
Appendix
Index
Origins
Egypt
Mesopotamia
17.

図書
図書
17. A history of mathematics
Carl B. Boyer
出版情報: New York : Wiley, c1968  xv, 717 p. ; 23 cm
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目次情報: 続きを見る
Origins
Egypt
Mesopotamia
Ionia and the Pythagoreans
The Heroic Age
The Age of Plato and Aristotle
Euclid of Alexandria
Archimedes of Syracuse
Apollonius of Perga
Greek Trigonometry and Mensuration
Revival and Decline of Greek Mathematics
China and India
The Arabic Hegemony
Europe in the Middle Ages
The Renaissance
Prelude to Modern Mathematics
The Time of Fermat and Descartes
A Transitional Period
Newton and Leibniz
The Bernoulli Era
The Age of Euler
Mathematicians of the French Revolution
The Time of Gauss and Cauchy
Geometry
Analysis
Algebra
Poincare and Hilbert
Aspects of the Twentieth Century
References
General Bibliography
Appendix
Index
Origins
Egypt
Mesopotamia
18.

図書
図書
18. The study of the history of mathematics, and The study of the history of science : two volumes bound as one (: pbk)
by George Sarton
出版情報: New York : Dover Publications, 1957  112, 75 p. ; 21 cm
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19.

図書
図書
19. Ways of thought of great mathematicians : an approach to the history of mathematics
by Herbert Meschkowski ; translated by John Dyer-Bennet
出版情報: San Francisco : Holden-Day, 1964  viii, 110 p. ; 23 cm
シリーズ名: The Mathesis series
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20.

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図書
20. Foundations of science and mathematics
by Mortimer J. Adler and Peter Wolff ; preface by Curtis Wilson
出版情報: Chicago : Encyclopædia Britannica, c1960  xxii, 233 p. ; 22 cm
シリーズ名: The great ideas program ; 3
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21.

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図書
21. The historical roots of elementary mathematics (: pbk)
Lucas N.H. Bunt, Phillip S. Jones, Jack D. Bedient
出版情報: New York : Dover Publications, 1988  xii, 299 p. ; 22 cm
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22.

図書
図書
22. Mathematical thought from ancient to modern times (v. 1 ; v. 2 ; v. 3)
Morris Kline
出版情報: New York : Oxford University Press, 1990, c1972  3 v. (xv, 1211, xxii p.) ; 23 cm
シリーズ名: Oxford paperbacks
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目次情報: 続きを見る
The Theory of Numbers in the Nineteenth Century / 34：
Preface to the Three-Volume Paperback Edition of Mathematical Thought / 1：
Introduction
Preface / 2：
The Theory of Congruences / 18：
Mathematics as of 1700 / 3：
Algebraic Numbers
Bibliography
The Ideals of Dedekind / 4：
Calculus in the Eighteenth Century
The Theory of Forms / 5：
Infinite Series / 20：
Analytic Number Theory
The Revival of Projective Geometry / 35：
Ordinary Differential Equations in the Eighteenth Century
The Renewal of Interest in Geometry
Synthetic Euclidean Geometry / 22：
Partial Differential Equations in the Eighteenth Century
The Revival of Synthetic Projective Geometry
Analytic and Differential Geometry in the Eighteenth Century / 23：
Algebraic Projective Geometry
Higher Plane Curves and Surfaces / 24：
The Calculus of Variations in the Eighteenth Century / 36：
Non-Euclidean Geometry
Algebra in the Eighteenth Century / 25：
The Status of Euclidean Geometry About 1800
Mathematics as of 1800 / 26：
The Research on the Parallel Axiom
Foreshadowings of Non-Euclidean Geometry / 27：
Functions of a Complex Variable
The Creation of Non-Euclidean Geometry
The Technical Content of Non-Euclidian Geometry / 28：
Partial Differential Equations in the Nineteenth Century
The Claims of Lobatchevsky and Bolyai to Priority / 7：
Ordinary Differential Equations in the Nineteenth Century / 29：
The Implications of Non-Euclidean Geometry
The Differential Geometry of Gauss and Riemann / 37：
The Calculus of Variations in the Nineteenth Century
Gauss's Differential Geometry / 31：
Galois Theory
Riemann's Approach to Geometry
Quaternions, Vectors, and Linear Associative Algebras / 32：
The Successors of Riemann
Invariants of Differential Forms / 33：
Determinants and Matrices / 38：
Projective and Metric Geometry
Abbreviations
Name Index
Surfaces as Models of Non-Euclidean Geometry
Subject Index
Models and the Consistency Problem
Geometry from the Transformation Viewpoint
The Reality of Non-Euclidean Geometry
Algebraic Geometry / 39：
Background
The Theory of Algebraic Invariants
The Concept of Birational Transformations
The Function-Theoretic Approach to Algebraic Geometry
The Uniformization Problem
The Algebraic-Geometric Approach
The Arithmetic Approach
The Algebraic Geometry of Surfaces
The Instillation of Rigor in Analysis / 40：
Functions and Their Properties
The Derivative
The Integral
Fourier Series
The Status of Analysis
The Foundations of the Real and Transfinite Numbers / 41：
Algebraic and Transcendental Numbers
The Theory of Irrational Numbers
The Theory of Rational Numbers
Other Approaches to the Real Number System
The Concept of an Infinite Set
The Foundation of the Theory of Sets
Transfinite Cardinals and Ordinals
The Status of Set Theory by 1900 / 9：
The Foundations of Geometry / 42：
The Defects in Euclid
Contributions to the Foundations of Projective Geometry
The Foundations of Euclidean Geometry
Some Related Foundational Work
Some Open Questions
Mathematics as of 1900 / 43：
The Chief Features of the Nineteenth-Century Developments
The Axiomatic Movement
Mathematics as Man's Creation
The Loss of Truth
Mathematics as the Study of Arbitrary Structures
The Problem of Consistency
A Glance Ahead
The Theory of Functions of Real Variables / 44：
The Origins
The Stieltjes Integral
Early Work on Content and Measure
The Lebesgue Integral
Generalizations
Integral Equations / 45：
The Beginning of a General Theory
The Work of Hilbert
The Immediate Successors of Hilbert
Extensions of the Theory
Functional Analysis / 46：
The Nature of Functional Analysis
The Theory of Functionals
Linear Functional Analysis
The Axiomatization of Hilbert Space
Divergent Series / 47：
The Informal Uses of Divergent Series
The Formal Theory of Asymptotic Series
Summability
Tensor Analysis and Differential Geometry / 48：
The Origins of Tensor Analysis
The Notion of a Tensor
Covariant Differentiation
Parallel Displacement
Generalizations of Riemannian Geometry
The Emergence of Abstract Algebra / 49：
The Nineteenth-Century Background
Abstract Group Theory
The Abstract Theory of Fields
Rings
Non-Associative Algebras
The Range of Abstract Algebra
The Beginnings of Topology / 50：
The Nature of Topology
Point Set Topology
The Beginnings of Combinational Topology
The Combinational Work of Poincare
Combinatorial Invariants
Fixed Point Theorems
Generalizations and Extensions
The Foundations of Mathematics / 51：
The Paradoxes of Set Theory
The Axiomatization of Set Theory
The Rise of Mathematical Logic
The Logistic School
The Intuitionist School
The Formalist School
Some Recent Developments
List of Abbreviations
Index
Mathematics in Mesopotamia
Where Did Mathematics Begin?
Political History in Mesopotamia
The Number Symbols
Arithmetic Operations
Babylonian Algebra
Babylonian Geometry
The Uses of Mathematics in Babylonia
Evaluation of Babylonian Mathematics
Egyptian Mathematics
The Arithmetic
Algebra and Geometry
Egyptian Uses of Mathematics
Summary
The Creation of Classical Greek Mathematics
The General Sources
The Major Schools of the Classical Period
The Ionian School
The Pythagoreans
The Eleatic School
The Sophist School
The Platonic School
The School of Eudoxus
Aristotle and His School / 10：
Euclid and Apollonius
The Background of Euclid's Elements
The Definitions and Axioms of the Elements
Books I to IV of the Elements
Book V: The Theory of Proportion
Book VI: Similar Figures
Books VII, VIII, and IX: The Theory of Numbers
Book X: The Classification of Incommensurables
Books XI, XII, and XIII: Solid Geometry and the Method of Exhaustion
The Merits and Defects of the Elements
Other Mathematical Works by Euclid / 11：
The Mathematical Work of Apollonius / 12：
The Alexandrian Greek Period: Geometry and Trigonometry
The Founding of Alexandria
The Character of Alexandrian Greek Mathematics
Areas and Volumes in the Work of Archimedes
Areas and Volumes in the Work of Heron
Some Exceptional Curves
The Creation of Trigonometry
Late Alexandrian Activity in Geometry
The Alexandrian Period: The Reemergence of Arithmetic and Algebra
The Symbols and Operations of Greek Arithmetic
Arithmetic and Algebra as an Independent Development
The Greek Rationalization of Nature
The Inspiration for Greek Mathematics
The Beginnings of a Rational View of Nature
The Development of the Belief in Mathematical Design
Greek Mathematical Astronomy
Geography
Mechanics
Optics
Astrology
The Demise of the Greek World
A Review of the Greek Achievements
The Limitations of Greek Mathematics
The Problems Bequeathed by the Greeks
The Demise of the Greek Civilization
The Mathematics of the Hindus and Arabs
Early Hindu Mathematics
Hindu Arithmetic and Algebra of the Period A.D. 200-1200
Hindu Geometry and Trigonometry of the Period A.D. 200-1200
The Arabs
Arabic Arithmetic and Algebra
Arabic Geometry and Trigonometry
Mathematics circa 1300
The Medieval Period in Europe
The Beginnings of a European Civilization
The Materials Available for Learning
The Role of Mathematics in Early Medieval Europe
The Stagnation in Mathematics
The First Revival of the Greek Works
The Revival of Rationalism and Interest in Nature
Progress in Mathematics Proper
Progress in Physical Science
The Renaissance
Revolutionary Influences in Europe
The New Intellectual Outlook
The Spread of Learning
Humanistic Activity in Mathematics
The Clamor for the Reform of Science
The Rise of Empiricism
Mathematical Contributions in the Renaissance
Perspective
Geometry Proper
Algebra
Trigonometry
The Major Scientific Progress in the Renaissance
Remarks on the Renaissance
Arithmetic and Algebra in the Sixteenth and Seventeenth Centuries / 13：
The Status of the Number System and Arithmetic
Symbolism
The Solution of Third and Fourth Degree Equations
The Theory of Equations
The Binomial Theorem and Allied Topics
The Theory of Numbers
The Relationship of Algebra to Geometry
The Beginnings of Projective Geometry / 14：
The Rebirth of Geometry
The Problems Raised by the Work on Perspective
The Work of Desargues
The Work of Pascal and La Hire
The Emergence of New Principles
Coordinate Geometry / 15：
The Motivation for Coordinate Geometry
The Coordinate Geometry of Fermat
Rene Descartes
Descartes's Work in Coordinate Geometry
Seventeenth-Century Extensions of Coordinate Geometry
The Importance of Coordinate Geometry
The Mathematization of Science / 16：
Descartes's Concept of Science
Galileo's Approach to Science
The Function Concept
The Creation of the Calculus / 17：
The Motivation for the Calculus
Early Seventeenth-Century Work on the Calculus
The Work of Newton
The Work of Leibniz
A Comparison of the Work of Newton and Leibniz
The Controversy over Priority
Some Immediate Additions to the Calculus
The Soundness of the Calculus
The Theory of Numbers in the Nineteenth Century / 34：
Preface to the Three-Volume Paperback Edition of Mathematical Thought / 1：
Introduction
23.

図書
図書
23. Journey through genius : the great theorems of mathematics
William Dunham
出版情報: New York : Wiley, c1990  xiii, 300 p, ; 24 cm
シリーズ名: Wiley science editions
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目次情報: 続きを見る
Hippocrates' Quadrature of the Lune (ca. 440 B.C.)
Euclid's Proof of the Pythagorean Theorem (ca. 300 B.C.)
Euclid and the Infinitude of Primes (ca. 300 B.C.)
Archimedes' Determination of Circular Area (ca. 225 B.C.)
Heron's Formula for Triangular Area (ca. A.D. 75)
Cardano and the Solution of the Cubic (1545)
A Gem from Isaac Newton (Late 1660s)
The Bernoullis and the Harmonic Series (1689)
The Extraordinary Sums of Leonhard Euler (1734)
A Sampler of Euler's Number Theory (1736)
The Non-Denumerability of the Continuum (1874)
Cantor and the Transfinite Realm (1891)
Afterword
Chapter Notes
References
Index
Hippocrates' Quadrature of the Lune (ca. 440 B.C.)
Euclid's Proof of the Pythagorean Theorem (ca. 300 B.C.)
Euclid and the Infinitude of Primes (ca. 300 B.C.)
24.

図書
図書
24. Mathematics and its history (: us ; : gw)
John Stillwell
出版情報: New York ; Tokyo : Springer-Verlag, c1989  x, 371 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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25.

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図書
25. The history of mathematics in Europe ; from the fall of Greek science to the rise of the conception of mathematical rigour
by J.W.N. Sullivan
出版情報: London : Oxford University Press, 1925  109 p. ; 18 cm
シリーズ名: Chapters in the history of science ; 4
The world's manuals
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26.

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図書
26. Leibniz in Paris, 1672-1676 : his growth to mathematical maturity
Joseph E. Hofmann
出版情報: London ; New York : Cambridge University Press, c1974  xi, 372 p. ; 24 cm
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目次情報: 続きを見る
Introduction / 1：
The 'Accessio ad Arithmeticam Infinitorum' / 2：
The first visit to London / 3：
Oldenburg's communication of 6 (16) April 1673 / 4：
The great discoveries of the year 1673 / 5：
Readings in contemporary mathematical literature / 6：
First communication about the new results / 7：
The quarrel over rectification / 8：
Disputes about clocks / 9：
Leibniz receives first details of Gregory's and Newton's work / 10：
Studies in algebra / 11：
The meeting with Tschirnhaus / 12：
The invention of the calculus / 13：
Dispute about Descartes' method / 14：
The report on Gregory's results and Pell's methods / 15：
Newton's first letter for Leibniz / 16：
Leibniz' reply / 17：
Tschirnhaus' reaction / 18：
Newton's second letter for Leibniz / 19：
The second visit to London / 20：
Conclusion / 21：
Introduction / 1：
The 'Accessio ad Arithmeticam Infinitorum' / 2：
The first visit to London / 3：
27.

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図書
27. The mathematical experience
Philip J. Davis, Reuben Hersh ; with an introduction by Gian-Carlo Rota
出版情報: Boston : Birkhäuser, c1980  xix, 440 p. ; 24 cm
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28.

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図書
28. Mathematical thought from ancient to modern times
Morris Kline
出版情報: New York : Oxford University Press, 1972  xvii, 1238 p. ; 24 cm
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目次情報: 続きを見る
Preface to the Three-Volume Paperback Edition of Mathematical Thought
Preface
Mathematics as of 1700 / 18：
Bibliography
Calculus in the Eighteenth Century / 19：
Infinite Series / 20：
Ordinary Differential Equations in the Eighteenth Century / 21：
Partial Differential Equations in the Eighteenth Century / 22：
Analytic and Differential Geometry in the Eighteenth Century / 23：
The Calculus of Variations in the Eighteenth Century / 24：
Algebra in the Eighteenth Century / 25：
Mathematics as of 1800 / 26：
Functions of a Complex Variable / 27：
Partial Differential Equations in the Nineteenth Century / 28：
Ordinary Differential Equations in the Nineteenth Century / 29：
The Calculus of Variations in the Nineteenth Century / 30：
Galois Theory / 31：
Quaternions, Vectors, and Linear Associative Algebras / 32：
Determinants and Matrices / 33：
Abbreviations
Name Index
Subject Index
Preface to the Three-Volume Paperback Edition of Mathematical Thought
Preface
Mathematics as of 1700 / 18：
29.

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図書
29. Development of mathematics in the 19th century
by Felix Klein ; translated by M. Ackerman
出版情報: Brookline, Mass. : Math Sci Press, c1979  ix, 630 p. ; 24 cm
シリーズ名: Lie groups : history, frontiers, and applications ; v. 9
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30.

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図書
30. Éléments d'histoire des mathématiques
Nicolas Bourbaki
出版情報: Paris : Hermann, c1960  276 p ; 22 cm
シリーズ名: Histoire de la pensée ; 4
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31.

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図書
31. Images, ideas, and communities
[edited by] Eberhard Knobloch, David E. Rowe
出版情報: Boston ; Tokyo : Academic Press, c1994  xiv, 301 p. ; 24 cm
シリーズ名: The history of modern mathematics : proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20-24, 1989 / edited by David E. Rowe, John McCleary ; v. 3
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目次情報: 続きを見る
Images of Mathematics: Historiographical and Philosophical Issues / J. Lutzen ; W. Purkert
Conflicting Tendencies in the Historiography of Mathematics / M. Cantor ; H.G. Zeuthen.I ; Grattan-Guiness
A New Type of Question: On the Prehistory of Linear and Nonlinear Programming, 1770-1940 / V. Peckhaus
Hilberts Axiomatic Programme and Philosophy
Differential Geometry and Analysis / R. Tazzioli
Rudolf Lipschitzs Work onDifferential Geometry and Mechanics / P. Ullrich
The Proof of the Laurent Expansion / Weierstrass
The Riemann Removable Singularity Theorem from 1841 Onwards
Research Communities and International Collaboration / D.D. Fenster ; K. Parshall
A Profile of the American Mathematical Research Community: 1891-1906
Women in the American Mathematical Research Community: 1891-1906 / D. Zhang ; J.W. Dauben
Mathematical Exchanges Between the United States and China: A Concise Overview
Images of Mathematics: Historiographical and Philosophical Issues / J. Lutzen ; W. Purkert
Conflicting Tendencies in the Historiography of Mathematics / M. Cantor ; H.G. Zeuthen.I ; Grattan-Guiness
A New Type of Question: On the Prehistory of Linear and Nonlinear Programming, 1770-1940 / V. Peckhaus
32.

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図書
32. Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert
Felix Klein
出版情報: New York : Chelsea, 1956  xiii, 385, x, 208 p. ; 21 cm
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33.

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図書
33. Grundlagen der Mathematik in geschichtlicher Entwicklung
von Oskar Becker
出版情報: Freiburg : K. Alber, c1954  xi, 422 p. ; 23 cm
シリーズ名: Orbis academicus ; Bd. 2/6
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34.

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図書
34. The history of mathematics : a very short introduction
Jacqueline Stedall
出版情報: Oxford : Oxford University Press, 2012  xvii, 123 p. ; 18 cm
シリーズ名: Very short introductions ; 305
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目次情報: 続きを見る
Mathematics: myth and history / 1：
What is mathematics and who is a mathematician? / 2：
How are mathematical ideas disseminated? / 3：
Learning mathematics / 4：
Mathematical livelihoods / 5：
Getting inside mathematics / 6：
The evolving historiography of mathematics / 7：
Further Reading
Mathematics: myth and history / 1：
What is mathematics and who is a mathematician? / 2：
How are mathematical ideas disseminated? / 3：
35.

図書
図書
35. Mathematics and its history. 2nd ed
John Stillwell
出版情報: New York : Springer, c2002  xviii, 542 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
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36.

図書
図書
36. A history of mathematics. 2nd ed., rev. and enl
by Florian Cajori
出版情報: New York : Macmillan, 1924, c1919  viii, 516 p. ; 22 cm
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37.

図書
図書
37. The investigation of difficult things : essays on Newton and the history of the exact sciences in honour of D.T. Whiteside. 1st paperback ed
edited by P. M. Harman and Alan E. Shapiro
出版情報: Cambridge : Cambridge University Press, 2002  531 p. ; 24 cm
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目次情報: 続きを見る
Mathematics and Astronomy to Newton / Part I：
Lunar velocity in the Ptolemaic tradition / Bernard R. Goldstein1：
The Sciametria from Kepler's Hipparchus / N. M. Swerdlow2：
Descartes, Pappus' problem, and the Cartesian parabola / Henk Bos3：
HonorT Fabry / E. A. Fellman4：
Newton's Manuscripts / Part II：
Sotheby's Keyens and Yahuda / P. E. Spargo5：
De Scriptoribus chemicis / Karin Figala et al6：
Beyond the dating game / Alan Shapiro7：
Newton's Principia / Part III：
The critical role of curvature in Newton's developing dynamics / Bruce Brackenridge8：
Newton and the absolutes / A. Rupert Hall9：
Newton's ontology / Zev Bechler
Newton's mathematical principles of natural philosophy / Alan Gabbey10：
The review of the first edition of Newton's Principia in the Acta Eruditorum / Bernard Cohen11：
Newton, Cotes / David Fowler12：
Newton and Eighteenth-Century Mathematics and Physics / Part IV：
A study of spirals / Ronald Cowing14：
The fragmentation of the European mathematical community / Lenore Feigenbaum15：
Euler on action at a distance and fundamental equations in continuum mechanics / Curtis Wilson16：
St Peter and the rotation of the Earth Domenico / Bertolini Meli17：
After Newton / Part V：
Why Stokes never wrote a treatise on optics / Jed Buchwald18：
Maxwell and Saturn's rings / Peter M. Harman19：
Poincare, topological dynamics / Jeremy Gray20：
Mathematics and Astronomy to Newton / Part I：
Lunar velocity in the Ptolemaic tradition / Bernard R. Goldstein1：
The Sciametria from Kepler's Hipparchus / N. M. Swerdlow2：
38.

図書
図書
38. Using history to teach mathematics : an international perspective
Victor J. Katz, editor
出版情報: Washington, D.C. : Mathematical Association of America, c2000  xii, 261 p. ; 28 cm
シリーズ名: MAA notes ; 51
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General ideas on the use of history in teaching / M.-K. Siu ; F. Swetz ; A. Michel-Pajus1：
Historical ideas and their relationship to pedagogy / L. Grugnetti ; W.-S. Horng ; F. Furinghetti2：
Teaching a particular subject using history / L. Radford ; G. Guerette ; J. H. Barnett ; E. Barbin ; J.-L. Dorier3：
The use of history in teacher training / I. Isaacs ; V. Mohan Ram ; A. Richards ; G. Winicki ; M. Bruckheimer4：
The history of mathematics / E. Robson ; G. W. Heine ; U. Gellert ; L. E. Moreno-Armella ; G. Waldegg ; R. Wilson ; T. Heiede ; L. Giacardi ; G. Hitchcock ; A. Leal Duarte ; J. Carvalho e Silva ; J. F. Quiero ; U. D'Ambrosio5：
General ideas on the use of history in teaching / M.-K. Siu ; F. Swetz ; A. Michel-Pajus1：
Historical ideas and their relationship to pedagogy / L. Grugnetti ; W.-S. Horng ; F. Furinghetti2：
Teaching a particular subject using history / L. Radford ; G. Guerette ; J. H. Barnett ; E. Barbin ; J.-L. Dorier3：
39.

図書
図書
39. Two millennia of mathematics : from Archimedes to Gauss
George M. Phillips
出版情報: New York : Springer, c2000  xii, 223 p. ; 24 cm
シリーズ名: CMS books in mathematics ; 6
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目次情報: 続きを見る
From Archimedes to Gauss
Logarithms
Interpolation
Continued Fractions
More Number Theory
From Archimedes to Gauss
Logarithms
Interpolation
40.

図書
図書
40. A short account of the history of mathematics
by W.W. Rouse Ball
出版情報: London : Macmillan, 1888  xxiii, 464 p. ; 20 cm
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41.

図書
図書
41. Mathematics : queen and servant of science
by E.T. Bell
出版情報: New York : McGraw-Hill, c1951  xx, 437 p. ; 21 cm
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42.

図書
図書
42. A manual of Greek mathematics (: pbk)
by Sir Thomas L. Heath
出版情報: Mineola, N.Y. : Dover Publications, 2003  xvi, 552 p. ; 22 cm
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目次情報: 続きを見る
Introductory / I.：
Classification of mathematical subjects
Mathematics in Greek education
Numerical Notation and Practical Calculation / II.：
The decimal system
Egyptian numerical notation
Babylonian systems
Greek numerical notation
The 'Herodianic' or 'Attic' system / (a)：
The ordinary alphabetic numerals / (b)：
Notation for large numbers / (c)：
Archimedes' system for large numbers ('octads') / (d)：
Fractions
Sexagesimal fractions
Practical calculation
The abacus / ([alpha])：
Addition and subtraction / ([beta])：
Multiplication / ([gamma])：
Division / ([delta])：
Extraction of square root / ([epsilon])：
Pythagorean Arithmetic / III.：
Definitions of the unit and of number
Classification of numbers
'Perfect' and 'Friendly' numbers
Figured numbers
Triangular numbers
Square numbers and gnomons
Gnomons of the polygonal numbers
Right-angled triangles with sides in rational numbers
Oblong numbers / (e)：
The theory of proportion and means
Geometric Means
The irrational
Algebraic equations
Indeterminate equations of the second degree 2x[superscript 2] - y[superscript 2] = [plus or minus]1
Epanthema of Thymaridas
Equation xy = 2(x+y)
Manuals of 'Arithmetic'
Nicomachus of Gerasa
Sum of series of cube numbers
Theon of Smyrna
Iamblichus
The Earliest Greek Geometry. Thales / IV.：
The 'Summary' of Proclus
Egyptian geometry (mensuration)
Thales
Measurement of height of pyramid
Geometrical theorems
Thales as astronomer
From Thales to Pythagoras
Anaximander
Pythagorean Geometry / V.：
Sum of angles of any triangle equal to two right angles
The 'Theorem of Pythagoras'
Application of areas and geometrical algebra
The five regular solids
Pythagorean astronomy / ([zeta])：
Summary
Progress in the Elements Down to Plato's Time / VI.：
Anaxagoras
Oenopides of Chios
Democritus
Hippias of Elis
Hippocrates of Chios
Quadratures of lunes
Reduction of the problem of doubling the cube
The Elements as known to Hippocrates
Theodorus of Cyrene
Theaetetus
Archytas of Taras
Special Problems / VII.：
The Squaring of the Circle
The quadratrix of Hippias
The spiral of Archimedes
Solutions by Apollonius and Carpus
Ancient approximations to [pi]
The Trisection of any Angle
Reduction to a [characters not reproducible] solved by conics
The conchoids of Nicomedes
Another reduction to a [characters not reproducible]
Solution by means of conics
The Duplication of the Cube, or the Problem of the two Mean Proportionals
Archytas
Eudoxus
Menaechmus
Solution attributed to Plato
Eratosthenes
Nicomedes
Apollonius, Heron, Philon of Byzantium
Diocles and the cissoid
Sporus and Pappus
From Plato to Euclid / VIII.：
Plato and the philosophy of mathematics
The hypotheses of mathematics
Definitions
Summary of the mathematics in Plato
Geometric means
The two geometrical passages in the Meno
Solution in integers of x[superscript 2] + y[superscript 2] = z[superscript 2]
Incommensurables
Plato's astronomy
Successors of Plato
Heraclides of Pontus
Eudoxus of Cnidos
Hypothesis of concentric spheres
Theory of proportion
The Method of Exhaustion
Zeno's paradoxes
Aristotle
Sphaeric. Autolycus of Pitane
Euclid / IX.：
The Elements
Euclid's other Works
The Data
On Divisions (of Figures)
Pseudaria. Porisms
Conics. Surface-Loci
Phaenomena. Optics
Catoptrica
Musical treatises
Supposed mechanical works
Aristarchus of Samos / X.：
Anticipation of Copernicus
On the sizes and distances of the Sun and Moon
Archimedes / XI.：
Extant works
Other reputed works
Text and editions
The Method
On the Sphere and Cylinder
Measurement of a Circle
On Conoids and Spheroids
On Spirals
Plane Equilibriums
The Sand-reckoner
Quadrature of a Parabola
On Floating Bodies
The Cattle-Problem
On semi-regular solids
'Liber assumptorum'
On the regular heptagon in a circle
Measurement of the earth
Conic Sections / XII.：
Discovery of conics by Menaechmus
Euclid and Aristaeus
Apollonius of Perga
The Conics
Sectio Rationis
Sectio Spatii
On Determinate Section
Contacts or Tangencies
Circle touching three circles
Plane Loci
[characters not reproducible], Inclinationes
Other works
The Successors of the Great Geometers / XIII.：
Diocles
The Fragmentum mathematicum Bobiense
Perseus and 'spiric sections'
Zenodorus
Hypsicles
Dionysodorus
Posidonius
Geminus
Trigonometry: Hipparchus, Menelaus, Ptolemy / XIV.：
Theodosius' Sphaerica
Hipparchus
Discovery of precession
On the Length of the Year
Trigonometry
Menelaus of Alexandria
Sphaerica
Ptolemy
The Syntaxis
Preparation of Table of Chords
Mensuration: Heron of Alexandria / XV.：
Heron's date
List of works
Commentary on Euclid
Mensuration
The Metrica
Area of triangle in terms of sides
Approximations to surds
Areas of regular polygons
Measurement of solids
On divisions of figures
Quadratic equations
On the Dioptra
Mechanics
Pappus of Alexandria / XVI.：
Date and works
The Collection
Editions
On problem of two mean proportionals / Books I, II：
On Means
'Paradoxes' of Erycinus
On five regular solids
Extension of Pythagoras' Theorem / Book IV：
Problems on the [characters not reproducible]
On spirals, conchoids, and the quadratrix
A spiral on a sphere
On the trisection of any angle
On isoperimetry: digression on bees and honeycombs / Book V：
On the sphere and cylinder
Comparison of five regular solids
On astronomical treatises / Book VI：
On works forming 'Treasury of Analysis' / Book VII：
Extension of notion of locus with respect to three or four lines (Pappus' Problem)
'Theorem of Guldin' anticipated
Lemmas to treatises of Apollonius and Euclid
Mechanics: historical preface / Book VIII：
On centre of gravity
Construction of conic through five points
Problem of seven equal hexagons in a circle
Algebra: Diophantus of Alexandria / XVII.：
Egyptian anticipations of algebra
Problems in Anthology
Indeterminate problems, first degree
Indeterminate problems from MS. of Heron's Metrica
Diophantus
The Arithmetica
Lost Books. 'Porisms'
Commentaries and editions
Notation: sign for unknown and its powers
sign for minus
Diophantus' treatment of equations
Determinate Equations / A.：
'Pure' equations / (1)：
'Mixed' quadratics / (2)：
Simultaneous equations involving quadratics / (3)：
Indeterminate equations / B.：
Equations of second degree
Single equation
Double equation
Of first degree
Of second degree
Equations of degree higher than second
Single equations
Expressions to be made squares / (i)：
Expressions to be made cubes / (ii)：
Double equations
Method of approximation to limits
Porisms and propositions in the theory of numbers
Numbers as the sum of two, three, or four squares
Characteristic examples and solutions
Rational right-angled triangles
Treatise on Polygonal Numbers
Commentators and Minor Writers / XVIII.：
Cleomedes
Serenus of Antinoeia
Theon of Alexandria
Hypatia
Proclus
Domninus of Larissa
Simplicius
Eutocius
Anthemius of Tralles
Additional Notes / Appendix：
Egyptian mathematics / 1.：
Ancient Babylonian mathematics / 2.：
Hipparchus and Chaldaean astronomy / 3.：
Indices
Greek
English
Introductory / I.：
Classification of mathematical subjects
Mathematics in Greek education
43.

図書
図書
43. A history of mathematics. 3rd ed (: pbk)
Uta C. Merzbach, Carl B. Boyer
出版情報: Hoboken, N.J. : Wiley, c2011  xx, 668 p. ; 24 cm
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目次情報: 続きを見る
Foreword
Preface to the First Edition
Preface to the Second Edition
Traces / 1：
Concepts and Relationships
Early Number Bases
Number Language and Counting
Spatial Relationships
Ancient Egypt / 2：
The Era and the Sources
Numbers and Fractions
Arithmetic Operations
"Heap" Problems
Geometric Problems
Slope Problems
Arithmetic Pragmatism
Mesopotamia / 3：
Cuneiform Writing
Numbers and Fractions; Sexagesimals
Positional Numeration
Sexagesimal Fractions
Approximations
Tables
Equations
Measurements: Pythagorean Triads
Polygonal Areas
Geometry as Applied Arithmetic
Hellenic Traditions / 4：
Thales and Pythagoras
Numeration
Arithmetic and Logistic
Fifth Century Athens
Three Classical Problems
Incommensurability
Paradoxes of Zeno
Deductive Reasoning
Democritus of Abdera
Mathematics and the Liberal Arts
The Academy
Aristotle
Euclid of Alexandria / 5：
Alexandria
Lost Works
Extant Works
The Elements
Archimedes of Syracuse / 6：
The Siege of Syracuse
On the Equilibriums of Planes
On Floating Bodies
The Sand-Reckoner
Measurement of the Circle
On Spirals
Quadrature of the Parabola
On Conoids and Spheroids
On the Sphere and Cylinder
Book of Lemmas
Semiregular Solids and Trigonometry
The Method
Apollonius of Perge / 7：
Works and Tradition
Cycles and Epicycles
The Conics
Cross-Currents / 8：
Changing Trends
Eratosthenes
Angles and Chords
Ptolemy's Almagest
Heron of Alexandria
Decline of Greek Mathematics
Nichomachus of Gerasa
Diophantus of Alexandria
Pappus of Alexandria
The End of Alexandrian Dominance
Proclus of Alexandria
Boethius
Athenian Fragments
Byzantine Mathematicians
Ancient and Medieval China / 9：
The Oldest Known Texts
The Nine Chapters
Rod Numerals
The Abacus and Decimal Fractions
Values of Pi
Thirteenth-Century Mathematics
Ancient and Medieval India / 10：
Early Mathematics in India
The Sulbasutras
The Siddhantas
Aryabhata
Numerals
Trigonometry
Multiplication
Long Division
Brahmagupta
Indeterminate Equations
Bhaskara
Madhava and the Keralese School
The Islamic Hegemony / 11：
Arabic Conquests
The House of Wisdom
al-Khwarizmi
'Abd Al-Hamid ibn-Turk
Thabit ibn Qurra
Abu'l-Wefa and Al-Karkhi
Al-Biruni and Alhazen
Omar Khayyam
The Parallel Postulate
Nasir al-Din al-Tusi
Al-Kashi
The Latin West / 12：
Introduction
Compendia of the Dark Ages
Gerbert
The Century of Translation
Abacists and Algorists
Fibonacci
Jordanus Nemorarius
Campanus of Novara
Learning in the Thirteenth Century
Archimedes Revived
Medieval Kinematics
Thomas Bradwardine
Nicole Oresme
The Latitude of Forms
Infinite Series
Levi ben Gerson
Nicholas of Cusa
Decline of Medieval Learning
The European Renaissance / 13：
Overview
Regiomontanus
Nicolas Chuquet's Triparty
Luca Pacioli's Summa
German Algebras and Arithmetics
Cardan's Ars Magna
Rafael Bombelli
Robert Recorde
Geometry
Renaissance Trends
François Viète
Early Modern Problem Solvers / 14：
Accessibility of Computation
Decimal Fractions
Notation
Logarithms
Mathematical Instruments
The Infinite and Italian Curves / 15：
Infinitesimal Methods: Stevin
Johannes Kepler
Galileo's Two New Sciences
Bonaventura Cavalieri
Evangelista Torricelli
Analysis, Synthesis, and Numbers / 16：
Mersenne's Communicants
Descartes
Fermat's Loci
Gregory of St. Vincent
Theory of Numbers
Gilles Persone de Roberval
Girard Desargues and Projective Geometry
Blaise Pascal
Philippe de Lahire
Georg Mohr
Pietro Mengoli
Frans van Schooten
Jan de Witt
Johann Hudde
René François de Sluse
Christiaan Huygens
Newton and British Techniques / 17：
John Wallis
James Gregory
Nicolaus Mercator and William Brouncker
Barrow's Method of Tangents
Newton
Abraham De Moivre
Leibniz and Continental Methods / 18：
Leibniz: Early Career and Travels
The Bernoulli Family
Tschirnhaus Transformations
Solid Analytic Geometry
Michel Rolle and Pierre Varignon
The Clairauts
Mathematics in Italy
Divergent Series
Euler / 19：
Life of Euler
Foundation of Analysis
Logarithms and the Euler Identities
Differential Equations
Probability
Textbooks
Analytic Geometry
The Parallel Postulate: Lambert
Pre- to Post-Revolutionary France / 20：
Men and Institutions
The Committee on Weights and Measures
D?Alembert
B\x{0082}zout
Condorcet
Lagrange
Monge
Carnot
Laplace
Legendre
Aspects of Abstraction
Paris in the 1820s
Fourier
Cauchy
Diffusion
Gauss / 21：
Nineteenth-Century Overview
Gauss: Early Work
Number Theory
Reception of the Disquisitiones Arithmeticae
Astronomy
Gauss's Middle Years
Differential Geometry
Gauss's Later Work
Gauss's Influence
The School of Monge / 22：
Projective Geometry: Poncelet and Chasles
Synthetic Metric Geometry: Steiner
Synthetic Nonmetric Geometry: von Staudt
Non-Euclidean Geometry
Riemannian Geometry
Spaces of Higher Dimensions
Felix Klein
Post-Riemannian Algebraic Geometry
Algebra / 23：
British Algebra and the Operational Calculus of Functions
Boole and the Algebra of Logic
Augustus De Morgan
William Rowan Hamilton
Grassmann and Ausdehnungslehre
Cayley and Sylvester
Linear Associative Algebras
Algebraic Geometry
Algebraic and Arithmetic Integers
Axioms of Arithmetic
Analysis / 24：
Berlin and Göttingen at Mid-Century
Riemann in Göttingen
Mathematical Physics in Germany
Mathematical Physics in English-Speaking Countries
Weierstrass and Students
The Arithmetization of Analysis
Dedekind
Cantor and Kronecker
Analysis in France
Poincaé and Hilbert / 25：
Turn-of-the-Century Overview
Poincar\x{0082}
Hilbert
Twentieth Century Legacies: Pre-1930 / 26：
General Overview
Integration and Measure
Functional Analysis and General Topology
Differential Geometry and Tensor Analysis
Bounds and Approximations
Twentieth Century Legacies: Post-1930 / 27：
The 1930s and World War II
Homological Algebra and Category Theory
Bourbaki
Logic and Computing
Recent Trends / 28：
The Four Color Conjecture
Classification of Finite Simple Groups
Fermat's Last Theorem
Poincaré's Query
Future Outlook
References
General Bibliography
Index
Foreword
Preface to the First Edition
Preface to the Second Edition
44.

図書
図書
44. Isaac Newton on mathematical certainty and method (: pbk)
Niccolò Guicciardini
出版情報: Cambridge, Mass. : MIT Press, 2011  xxiii, 422 p. ; 23 cm
シリーズ名: Transformations : studies in the history of science and technology
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45.

図書
図書
45. A short account of the history of mathematics. Stereotyped ed
by W.W. Rouse Ball
出版情報: London : Macmillan, 1919  xxiv p., 522 p. ; 21 cm
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46.

図書
図書
46. The study of the history of mathematics and The study of the history of science
by George Sarton
出版情報: New York : Dover, c1936  112, 75 p. ; 21 cm
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47.

図書
図書
47. A survey of mathematics : elementary concepts and their historical development
by Vivian Shaw Groza
出版情報: New York : Holt, Rinehart and Winston, 1968  xvi, 327 p. ; 25 cm
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48.

図書
図書
48. Das Wissenschaftsideal der Mathematiker
Pierre Boutroux ; autorisierte deutsche Ausgabe mit erläuternden Anmerkungen von H. Pollaczek-Geiringer
出版情報: Leipzig : B.G. Teubner, 1927  253 p. ; 20 cm
シリーズ名: Wissenschaft und Hypothese ; 28
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49.

図書
図書
49. A source book in mathematics
by David Eugene Smith
出版情報: New York : McGraw-Hill Book, 1929  xvii, 701 p. ; 24 cm
シリーズ名: Source books in the history of the sciences
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50.

図書
図書
50. The number-system of algebra : treated theoretically and historically
by Henry B. Fine
出版情報: New York : G.E. Stechert, 1937  ix, 131 p. ; 20 cm
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