From the Calculus to Set Theory 1630-1910 (eBook)

An Introductory History

Ivor Grattan-Guinness (Herausgeber)

eBook Download: PDF

2020
320 Seiten
Princeton University Press (Verlag)
978-0-691-21966-0 (ISBN)

Infos

From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Moller-Pedersen.

Produkt-Details

• Erscheint lt. Verlag: 6.10.2020
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Schlagworte: Ada eruditorum • Adequality • Algebraic Curve • Algebraic function • arithmetic • Arithmetica • arithmetic progression • Astronomy • Augustin-Louis Cauchy • Axiom • Axiom of choice • axiom of infinity • Axiom of reducibility • Berlin • Bernhard Riemann • Blaise Pascal • Bolzano–Weierstrass theorem • Boolean algebra (structure) • Calculation • cardinal number • Cauchy–Riemann equations • Cauchy's theorem (geometry) • central limit theorem • Classical Logic • classical mathematics • Conchoid (mathematics) • consistency • Constructivism (mathematics) • Continuity • Continuous function (set theory) • Continuum Hypothesis • Convergence of Fourier series • Darboux's theorem • David Hilbert • Decimal expansion • Definitions • Derived set (mathematics) • Diagram (category theory) • Difference quotient • Differential Calculus • differential equation • Elementary algebra • Elliptic Integral • Equation • Equations • existence theorem • exponential function • Fluxion • Foundations of mathematics • Fourier series • Function (mathematics) • fundamental theorem • Generality of algebra • Geometric Algebra • Geometry • Gottfried Wilhelm Leibniz • Gottlob Frege • Greek mathematics • heat diffusion • Heine-Borel theorem • indivisibles • Inequalities • Infinitesimal • Integration • intermediate value theorem • Isaac Barrow • Lebesgue measure • Limit (mathematics) • Line-segments • logarithm • logicism • Mathematical Analysis • Mathematical Induction • Mathematical Logic • Mathematical maturity • Mathematical problem • Mathematical Proof • Mathematical Sciences • Mathematical Theory • mathematician • Mathematics • mathematics education • Mathematische Annalen • Maxima and minima • mean value theorem • Measure (mathematics) • measure theory • Natural number • Newton's method • Number Theory • Numerical Integration • Optics • ordinal number • ordinate • Paris • Peano axioms • philosophy of mathematics • Principia Mathematica • Proportionality (mathematics) • Pure Mathematics • Quantification • Quantity • ratio test • real number • Riemann integral • Riemann sum • Savilian Professor of Geometry • scientific notation • Sequence(s) • series • Series expansion • Series (mathematics) • set theory • statics • Substitution • Summation • textbooks • Theorem • theory • Time • transcendental equation • Transfinite number • Trichotomy law • Trichotomy (mathematics) • Trigonometric Series • Unification (computer science) • uniqueness theorem • Use and mention • Variable (mathematics) • Variable(s) • Vicious circles • Wallis's product
• ISBN-10: 0-691-21966-4 / 0691219664
• ISBN-13: 978-0-691-21966-0 / 9780691219660