Soon after Samuel Morse’s telegraphing device led to a deployed electrical telecommunications system in 1843, waiting lines began to form by those wanting to use the system. At this writing queueing is still a significant factor in designing and operating communications services, whether they are provided over the Internet...
The data compression field has always been an important part of computer science,
and it is becoming increasingly popular and important today. Although computers
become faster and data storage becomes less expensive and more efficient, the in
creased importance of sound and video necessitates the use of at least a small mea
sure of...
This work is an introduction to mathematical analysis at an elementary level. Emphasis is given to the construction of national and then real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the presentation of: sequences of real numbers, infinite numerical series, continuous functions, deriviatives...
This text on geometry modeling is devoted to a number of central geometrical topics—
graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces—
and presents some elementary methods for analytical modeling and visualization
of them.
In 1872 F. Klein proposed his Erlangen Programme in...
A distributed system is driven by separate components that are executed in parallel, and protocols for such systems form a major aspect of system design in todays world of wireless and mobile networking. Process algebras are languages for the description of elementary parallel systems and are used to study the behavioural properties of distributed...
This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown...
University mathematics departments have for many years offered courses with titles such as Advanced Calculus or Introductory Real Analysis.The se courses are taken by a variety of students, serve a number of purposes, and are written at various levels of sophistication.T he students range from ones who have just completed a course in...
Investment and risk management problems are fundamental problems for financial institutions and involve both speculative and hedging decisions. A structured approach to these problems naturally leads one to the field of applied mathematics in order to translate subjective probability beliefs and attitudes towards risk and reward into...
This book is a textbook in basic category theory, written specifically to be read by researchers and students in computing science. We expound the constructions we feel are basic to category theory in the context of examples and applications to computing science. Some categorical ideas and constructions are already used heavily in computing...
Mathematica bv Example is intended to bridge the gap which has existed between the very
elementary handbooks available on Mathematica and those reference books written for the more
advanced Mathematica users. This book is an extension of a manuscript which was developed to
quickly introduce enough Mathematica commands to a group of...
Many years ago, when I had to learn C overnight to make a living as a programmer
(this was before C++), I would have given half my salary to find a mentor, a
person would say, “Here are the potholes in the road...errors that you are sure to
make in learning C. And here’s how to steer around them.” Instead, I had to...
New publisher! Corrected version! Demonstrating analytical and numerical techniques for attacking problems in the application of mathematics, this well-organized, clearly written text presents the logical relationship and fundamental notations of analysis. Buck discusses analysis not solely as a tool, but as a subject in its own right. This...
