1976 , The Elements of Real Analysis 2nd ed , New York NY, ISBN 0-486-27724-0 pbk
2001 , , , , retrieved on 2007-09-27• One reason is that 2 is the first element in more than one ordered pair, 2, B and 2, C , of this set , an educational interactive function guessing game

دالة متباينة

, interactive Java applet for graphing and exploring functions.

الدوال Function
1972 , "The concept of function in the 19th and 20th centuries, in particular with regard to the discussions between Baire, Borel and Lebesgue", Archive for History of Exact Sciences 9 1 : 57—84, :
شارح الدرس: قابلية الدالة للاشتقاق
Tarski, Alfred 1946 Introduction to Logic and to the Methodolgy of Deductive Sciences, republished 1195 by Dover Publications, Inc
دالة أم ليست دالة worksheet
, his axioms disallow a universal set
Giuseppe Peano 1889 The principles of arithmetic, presented by a new method with commentary by van Heijenoort, pages 83—97• Venn, John 1881 Symbolic Logic, Macmillian and Co 1970 Naive Set Theory, Springer-Verlag, New York, ISBN 0-387-90092-6
Gottlob Frege 1879 Begriffsschrift, a formula language, modeled upon that of arithmetic, for pure thought with commentary by van Heijenoort, pages 1—82• 1980 , "Historical and pedagogical aspects of the definition of function", International Journal of Mathematical Education in Science and Technology 11 4 : 489—492, : 1990 , Foundations and Fundamental Concepts of Mathematics: Third Edition, Dover Publications, Inc

تعريف الدوال وانواعها

Kleiner, Israel 1989 , "Evolution of the Function Concept: A Brief Survey", The College Mathematics Journal Mathematical Association of America 20 4 : 282—300, :.

27
تعريف الدوال في بايثون
Wherein von Neumann creates "classes" as distinct from "sets" the "classes" are Zermelo's "definite properties" , and now there is a universal set, etc
شارح الدرس: قابلية الدالة للاشتقاق
Wherein Russell announces his discovery of a "paradox" in Frege's work
شارح الدرس: تعريف المشتقة
Russell, Bertrand 1920 Introduction to Mathematical Philosophy second edition , Dover Publishing Inc
Bertrand Russell 1902 Letter to Frege with commentary by van Heijenoort, pages 124—125 Two other reasons, also sufficient by themselves, is that neither 3 nor 4 are first elements input of any ordered pair therein
The start of combinatory logic Mineola, NY, ISBN 0-486-69609-X pbk• 1984 , "Some definitions of the concept of function from Bernoulli, Joh

تعريف الدوال في بايثون

David Hilbert 1927 The foundations of mathematics by van Heijenoort, with commentary, pages 464—479.

14
تعريف الدوال وانواعها
Wherein Skolem defines Zermelo's vague "definite property"
تعريف الدوال في بايثون
1967, 3rd printing 1976 , From Frege to Godel: A Source Book in Mathematical Logic, 1879—1931, Harvard University Press, Cambridge, MA, ISBN 0-674-32449-8 pbk• Anton, Howard 1980 , Calculus with Analytical Geometry, , ISBN 978-0-471-03248-9• Wherein Zermelo attempts to solve Russell's paradox by structuring his axioms to restrict the universal domain B from which objects and sets are pulled by definite properties so that it itself cannot be a set, i
دوال زوجية وفردية
gives formulae and visualizations of many mathematical functions