mathematics - foundations of calculus

... idea of functional identities from specific cases to a defining property of an unknown function. The use of “unknown functions” is of fundamental importance in calculus, and other branches of mathematics ... maximum and extension of finite summation. The proof of the Extreme Value Theorem 4.4 below uses a hyperfinite maximum, while the proof of the Fundamental Theorem of Inte...

Ngày tải lên: 27/03/2014, 11:49

. the work of integral calculus is to study changing motion in a finite space. It is my opinion that it is hardly necessary to show further the uses of differen- tial calculus and analysis of the infinite,. the founda- tions of differential calculus, I have presented the method for differentiating every kind of function, for finding not only differentials of the first order, but also those of higher. theo...

Ngày tải lên: 31/03/2014, 15:39

... __init__.pyc byte-compiling build/bdist.macosx-10.3-fat/egg/rsreader/app.py to app.pyc creating build/bdist.macosx-10.3-fat/egg/EGG-INFO copying src/RSReader.egg-info/PKG-INFO -& gt; build/bdist.macosx-10.3-fat/egg/ ➥ EGG-INFO copying ... build/bdist.macosx-10.3-fat/egg/ ➥ EGG-INFO copying src/RSReader.egg-info/SOURCES.txt -& gt; build/bdist.macosx-10.3-fat/egg/ ➥ EGG-INFO copying src/R...

Ngày tải lên: 21/08/2012, 09:25

... version ISBN-13: 97 8-1 -5 905 9-8 2 8-3 ISBN-10: 1-5 905 9-8 2 8-8 9 781590 598283 5 3 9 9 9 Build AJAX Applications in ASP.NET ■ CHAPTER 3 The Microsoft AJAX Library: Making Client-Side JavaScript Easier . ... apps. Microsoft, for its part, introduced the ASP.NET AJAX framework, which is a comprehensive package of technologies addressing both client-side and serv- er-side...

Ngày tải lên: 21/08/2012, 09:26

... the future is now. Robert Pickering Foundations of F# Pickering cyan MaGenTa yellOW Black PanTOne 123 c ISBN-13: 97 8-1 -5 905 9-7 5 7-6 ISBN-10: 1-5 905 9-7 5 7-5 9 781590 597576 9 0 0 0 0 Shelve ... it: #light type DrinkAmount = | Coffee of int | Tea of int | Water of int with override x.ToString() = match x with | Coffee x -& gt; Printf.sprintf "Coffe...

Ngày tải lên: 21/08/2012, 09:28

... methods of a JPanel, like the add method. In the class’s constructor we instantiate two JButtons and give them labels in their con- structors. These labels will display on the front of the buttons. ... In the main method, we create an instance of the JPanel class, and we add it to the JFrame. (Incidentally, I do not approve of the “trick” technique of instantiating your own class i...

Ngày tải lên: 21/08/2012, 09:30