Two most important essays by the famous German mathematician: First provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. Second is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.
MY attention was first directed toward the considerations which form the subject of this pamphlet in the autumn of 1858. As professor in the Polytechnic School in Zurich I found myself for the first time obliged to lecture upon the elements of the differential calculus and felt more keenly than ever before the lack of a really scientific foundation for arithmetic. In discussing the notion of the approach of a variable magnitude to a fixed limiting value, and especially in proving the theorem that every magnitude which grows continually, but not beyond all limits, must certainly approach a limiting value, I had recourse to geometric evidences. Even now such resort to geometric intuition in a first presentation of the differential calculus, I regard as exceedingly useful, from the didactic standpoint, and indeed indispensable, if one does not wish to lose too much time. But that this form of introduction into the differential calculus can make no claim to being scientific, no one will deny.
Porting to the Symbian Platform: Open Mobile Development in C/C++ (Symbian Press) If you want to write mobile applications without the idioms of Symbian C++, have existing software assets that you'd like to re-use on Symbian devices, or are an open source developer still waiting for an open Linux-based device to gain significant market penetration, this is the book for you!
Beginning with an introduction to the native...
Pragmatic Guide to Subversion (Pragmatic Guides)
Subversion sets the standard in version control systems. Championed by open-source developers, Subversion is behind some of today's biggest and most important software, including Apache, FreeBSD, Ruby, and MediaWiki. But more than just a tool for open-source collaboration, Subversion has made a significant impact in the corporate...
Red-Hot Selling: Power Techniques That Win Even the Toughest Sale
No matter what, where, and to whom you sell, everything you do fits into one of three phases of the sales process: Planning, Execution, and, Closing. True red-hot sellers know exactly what each phase encompasses, and the rest of us can learn in the time it takes to read this ultra-practical book. "Red-Hot Selling" presents a simple,...
Modern French Grammar: A Practical Guide (Modern Grammars)
This book is designed to provide the essential elements of French grammar, for
students in the final year of school and in the first and later years of higher
education. Advanced learners will find much that is useful for extending their
knowledge of French, and for revision. The book is organized in two major