目錄
GENERAL EDITOR'S PREFACE
AUTHOR'S PREFACE
Ⅰ.THE FIELD OF NUMBER
THE FIRST PRINTED ARITHMETIC. TREVISO, 1478.
Selection translaced from the Italian by David Eugene Smith
ROBERT RECORDE ON "THE DECLARATION OF THE PROFIT OF ARITH-METICKE」
Selected from Tbe Ground of Artes,by David Eugene Smith
STEVIN ON DECIMAL FRACTIONS.
Translated from the French by Vera Sanford
DEDEKIND ON IRRATIONAL NUMBERS
Translated from the German by Wooster Woodruff Beman. Selection made and edited by Vera Sanford
JOHN WALLIS ON IMAGINARY NUMBERS.
Selected and edited by David Eugene Smith
WESSEL ON COMPLEX NUMBERS
Translated from the Danish by Martin A. Nordgaard
PASCAL ON THE ARITHMETIC TRIANGLE.
Translated from the French by Anna Savitsky
BOMBELLI AND CATALDI ON CONTINUED FRACTIONS
Translated from the Italian by Vera Sanford
BERNOULLI ON "BERNOULLI NUMBERS"
Translated from the Latin by Jekuthiel Ginsburg
EULER ON EVERY INTEGER AS A SUM OF FOUR SQUARES.
Translated from the Latin by E.T.Bell
EULER ON THE USE OF e TO REPRESENT 2.718
Selections translated from the Latin by Florian Cajori
HERMITE ON THE TRANSCENDENCE OF e
Translated from the French by Laura Guggenb?hl
GAUSS ON THE CONGRUENCE OF NUMBERS
Translated from the Latin by Ralph G. Archibald
GAUSS ON THE THIRD PROOF OF THE LAW OF QUADRATIC RECIPROCITY
Translated from the Latin by D. H. Lehmer
KUMMER ON IDEAL NUMBERS.
Translated from the German by Thomas Freeman Cope
CHEBYSHEV(TCHEBYCHEFF) ON THE TOTALITY OF PRIMES
Translated from the French by J. D. Tamarkin
NAPIER ON THE TABLE OF LOGARITHMS.
Selected and edited by W. D. Cairns
DELAMAIN ON THE SLIDE RULE.
Edited by Florian Cajori
OUGHTRED ON THE SLIDE RULE.
Edited by Florian Cajori
PASCAL ON His CALCULATING MACHINE
Translated from the French by L.Leland Locke
LEIBNIZ ON HIS CALCULATING MACHINE
Translated from the Latin by Mark Kormes
NAPIER ON THE NAPIER RoDS.
Translated from the Latin by Jekuthiel Ginsburg
GALILEO GALILEI ON THE PROPORTIONAL OR SECTOR COMPASSES
Translated from the Italian by David Eugene Smith
D'OCAGNE ON NOMOGRAPHY.
Translated from the French by Nevin C. Fisk
Ⅱ.THE FIELD OF ALGEBRA
CARDAN ON IMAGINARY ROOTS.
Translated from the Latin by Vera Sanford
CARDAN ON THE CUBIC EQUATION
Translated from the Latin by R.B. McClenon
FERRARI-CARDAN ON THE BIQUADRATIC EQUATION.
Translated from the Latin by R. B. McClenon, with additional notes by Jekuthiel Ginsburg
FERMAT on THE ΕQUATION xn+yn =2n
Translated from the French by Vera Sanford
FERMAT ON THE SO-CALLED PELL EQUATION
Translated from the Latin by Edward E. Whitford
JOHN WALLIS ON GENERAL EXPONENTS.
Translated from the Latin by Eva M. Sanford
WALLIS AND NEWTON ON THE BINOMIAL THEOREM FOR FRACTIONAL AND NEGATIVE EXPONENTS.
Selection from Wallis's Algebra, by David Eugene Smith
NEWTON ON THE BINOMIAL THEOREM FOR FRACTIONAL AND NEGATIVE EXPONENTS
Translated from the Latin by Eva M. Sanford
LEIBNIZ AND THE BERNOULLIS ON THE POLYNOMIAL THEOREM
Translated from the Latin by Jekuthiel Ginsburg
HORNER ON NUMERICAL HIGHER EQUATIONS
Selected and edited by Margaret McGuire
ROLLE ON THE LOCATION OF RooTS
Translated from the French by Florian Cajori
ABEL ON THE QUINTIC EQUATION
Translated from the French by W. H. Langdon, with notes by Oystein ?rc
LEIBNIZ ON DETERMINANTS
Translated from the Latin by Thomas Freeman Cope
BERNOULLI,VERSES ON INFINITE SERIES.
Translated from the Latin by Helen M. Walker
BERNOULLI ON THE THEORY OF COMBINATIONS
Translated from the Latin by Mary M. Taylor
GALOIS ON GROUPS AND EQUATIONS
Translated from the French by Louis Weisner
ABEL's THEOREM ON THE CONTINUITY OF FUNCTIONS DEFINED BY POWER SERIES
Translated from the German by Albert A. Bennett
GAUSS ON THE FUNDAMENTAL THEOREM OF ALGEBRA
Translated from the Latin by C. Raymond Adams
Ⅲ.THE FIELD OF GEOMETRY
DESARGUES ON PERSPECTIVE TRIANGLES
Translated from the French by Lao G.Simons
DESARGUES ON THE 4-RAYED PENCIL
Translated from the French by Vera Sanford
PONCELET ON PROJECTIVE GEOMETRY
Translated from the French by Vera Sanford
PEAUCELLIER'S CELL
Translated from the French by Jekuthiel Ginsburg
PASCAL,"ESSAY POUR LES CONIQUES"
Translated from the French by Frances Marguerite Clarke
BRIANCHON'S THEOREM
Translated from the French by Nathan Altshiller-Court
BRIANCHON AND PONCELET ON THE NINE-POINT CIRCLE THEOREM
Translated from the French by Morris Miller Slotnick
FEUERBACH ON THE THEOREM WHICH BEARS HIS NAME
Translated from the German by Roger A.Johnson
THE FIRST USE OF T FOR THE CIRCLE RATIO
Selection made by David Eugene Smith from the original work
GAUSS ON THE DIVISION OF A CIRCLE INTO n EQUAL PARTS.
Translated from the Latin by J.S.Turner
SACCHERI ON NON-EUCLIDEAN GEOMETRY
Translated from the Latin by Henry P.Manning
LOBACHEVSKY ON NON-EUCLIDEAN GEOMETRY
Translated from the French by Henry P.Manning
BOLYAI ON NON-EUCLIDEAN GEOMETRY
Translated from the Latin by Henry P.Manning
FERMAT ON ANALYTIC GEOMETRY
Translated from the French by Joseph Seidlin
DESCARTES ON ANALYTIC GEOMETRY
Translated from the French by David Eugene Smith and Marcia L.Latham
POHLKE'S THEOREM.
Translated from the German by Arnold Emch
RIEMANN ON SURFACES AND ANALYSIS SITUS
Translated from the German by James Singer
RIEMANN ON THE HYPOTHESES WHICH LIE AT THE FOUNDATIONS OF GEOMETRY
Translated from the German by Henry S.White
MONGE ON THE PURPOSE OF DESCRIPTIVE GEOMETRY
Translated from the French by Arnold Emch
REGIOMONTANUS ON THE LAW OF SINES FOR SPHERICAL TRIANGLES
Translated from the Latin by Eva M. Sanford
REGIOMONTANUS ON THE RELATION OF THE PARTS OF A TRIANGLE
Translated from the Latin by Vera Sanford
PITISCUS ON THE LAWS OF SINES AND COSINES.
Translated from the Latin by Jekuthiel Ginsburg
PITISCUS ON B?RGI'S METHOD OF TRISECTING AN ARC.
Translated from the Latin by Jekuthiel Ginsburg
DE MOIVRE'S FORMULA.
Translated from the Latin and from the French by Raymond Clar Archibald
CLAVIUS ON PROSTHAPHAERESIS AS APPLIED TO TRIGONOMETRY.
Translated from the Latin by Jekuthiel Ginsburg
CLAVIUS ON PROSTHAPHAERESIS .
Translated from the Latin by Jekuthiel Ginsburg
GAUSS ON CONFORMAL REPRESENTATION
Translated from the German by Herbert P. Evans
STEINER ON QUADRATIC TRANSFORMATION BETWEEN TWO SPACES.
Translated from the German by Arnold Emch
CREMONA ON GEOMETRIC TRANSFORMATIONS OF PLA.NE FIGURES
Translated from the Italian by E. Amelotti
LIE'S MEMOIR ON A CLASS OF GEOMETRIC TRANSFORMATIONS
Translated from the Norwegian by Martin A. Nordgaard
M?BIUS, CAYLEY, CAUCHY, SYLVESTER, AND CLIFFORD ON GEOMETRY OF FOUR OR MORE DIMENSIONS
Note by Henry P. Manning
M?BIUS ON HIGHER SPACE
Translated from the German by Henry P. Manning
CAYLEY ON HIGHER SPACE
Selected by Henry P.Manning
CAUCHY ON HIGHER SPACE
Translated from the French by Henry P. Manning
SYLVESTER ON HIGHER SPACE.
Selected by Henry P. Manning
CLIFFORD ON HIGHER SPACE
Selected by Henry P. Manning
Ⅳ. THE FIELD OF PROBABILITY
FERMAT AND PASCAL ON PROBABILITY
Translated from the French by Vera Sanford
DE MOIVRE ON THE LAW OF NORMAL PROBABILITY
Selected and edited by Helen M. Walker
LEGENDRE ON LEAST SQUARES.
Translated from the French by Henry A. Ruger and Helen M.Walker
CHEBYSHEV (TCHEBYCHEFF) ON MEAN VALUES
Translated from the French by Helen M. Walker
LAPLACE ON THE PROBABILITY OF ERRORS IN THE MEAN RESULTS OF A GREAT NUMBER OF OBSERVATIONS, ETC
Translated from the French by Julian L. C. A. Gys
Ⅴ.FIELD OF THE CALCULUS, FUNCTIONS, QUATERNIONS
CAVALIERI ON AN APPROACH TO THE CALCULUS
Translated from the Latin by Evelyn Walker
FERMAT ON MAXIMA AND MINIMA
Translated from the French by Vera Sanford
NEWTON ON FLUXIONS
Translated from the Latin by Evelyn Walker
LEIBNIZ ON THE CALCULUS
Translated from the Latin by Evelyn Walker
BERKELEY'S "ANALYST"
Selected and edited by Florian Cajori
CAUCHY ON DERIVATIVES AND DIFFERENTIALS
Translated from the French by Evelyn Walker
EULER ON DIFFERENTIAL EQUATIONS OF THE SECOND ORDER
Translated from the Latin by Florian Cajori
BERNOULLI ON THE BRACHISTOCHRONE PROBLEM
Translated from the Latin by Lincoln La Paz
ABEL ON INTEGRAL EQUATIONS.
Translated from the German by J. D. Tamarkin
BESSEL ON HIS FUNCTIONS.
Translated from the German by H.Bateman
M?BIUS ON THE BARYCENTRIC CALCULUS.
Translated from the German by J.P.Kormes
HAMILTON ON QUATERNIONS ·
Selected edited by Marguerite D. Darkow
GRASSMANN ON AUSDEHNUNGSLEHRE
Translated from the German by Mark Kormes
INDEX
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