Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
The Concept of Number: From Quaternions to Monads and Topological Fields (Mathematics and Its Applications)

Buy
This book consists of lectures that I have given, in Darmstadt since 1974, under various titles, for beginners or students of the third semester.

I have tried to concentrate on those themes concerning numbers, which seem to me to be the most important on essential and historical grounds, and which in my opinion ought to belong to any wide-ranging, general education of every mathematics student. The content of that, so it occurred to me, should be to use the study of the number systems to reveal Mathematics as a visible unity, an aspect that is just what is lost from the vision of third-semester students. In order to open up the subject of interest from all sides, tools of knowledge are used from Analysis, Algebra, Geometry and Topology. Therefore also I have preferred geometrical approaches and renounced generality, if thereby the underlying ideas of a proof became more intuitive (e.g. in Liouville's Theorem on transcendental numbers). After the essential unity of Mathematics, I have emphasised its historical continuity. In that respect, numerous indicators enrich the text, from simple citations of names and dates, to explicit quotations (Hamel, Hamilton, etc.). So also, in order to treat the conjectured earliest Greek concept of real number, as worked out by 0. Becker [4], I have referred without proofs to some facts about Continued Fractions; and I have given a further development in Sections 2E and 3C. I confess gladly, that the working out of this theme, as well as of others, in this text has given me great pleasure.
(HTML tags aren't allowed.)

MCSA/MCSE Managing and Maintaining a Microsoft Windows® Server 2003 Environment Exam Cram™ 2 (Exam 70-290)
MCSA/MCSE Managing and Maintaining a Microsoft Windows® Server 2003 Environment Exam Cram™ 2 (Exam 70-290)

This Exam Cram 2 helps you pass the 70-290 exam, which is one of the four core exams in Microsoft's MCSE 2003 certification program as well as a core exam in the MCSA 2003 program. This book assumes that you have a solid foundation of knowledge but could use a refresher on important concepts, as well as a guide to exam topics and...

Drupal: Creating Blogs, Forums, Portals, And Community Websites
Drupal: Creating Blogs, Forums, Portals, And Community Websites
The Internet is arguably one of the most profound achievements in human history. It has become so pervasive in our lives that we hardly even notice it—except when it happens to be unavailable! It's one of those things that make you sit back and wonder how people got along without it in the old days. Without the ability to surf the Internet to...
MCAD/MCSD Self-Paced Training Kit: Implementing Security for Applications with Microsoft  Visual Basic  .NET and Microsoft Visual C#  .NET
MCAD/MCSD Self-Paced Training Kit: Implementing Security for Applications with Microsoft Visual Basic .NET and Microsoft Visual C# .NET
Welcome to MCAD/MCSD Self-Paced Training Kit: Implementing Security for Applications with Microsoft Visual Basic .NET and Microsoft Visual C# .NET.

Developers have learned an important lesson in the last few years: they cannot rely on networks and operating systems to protect applications from attack. Any application, including both Web
...

TCP/IP Primer Plus
TCP/IP Primer Plus
There's no shortage of books about the protocols that enable the Internet to work, and TCP/IP Primer Plus faces a tall order as it attempts to distinguish itself from its competitors. It succeeds in doing so thanks to the degree of detail with which it treats the TCP/IP standards. Every last bit--that's bit as in binary...
Morphing: A Guide to Mathematical Transformations for Architects and Designers
Morphing: A Guide to Mathematical Transformations for Architects and Designers

Cylinders, spheres and cubes are a small handful of shapes that can be defined by a single word. However, most shapes cannot be found in a dictionary. They belong to an alternative plastic world defined by trigonometry: a mathematical world where all shapes can be described under one systematic language and where any shape can transform into...

Cryptographic  Boolean  Functions and Applications
Cryptographic Boolean Functions and Applications
Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce).

Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean
...
©2019 LearnIT (support@pdfchm.net) - Privacy Policy