This book is designed for introductory one-semester or one-year courses in communications networks in upper-level undergraduate programs. The second half of the book can be used in more advanced courses. As pre-requisites the book assumes a general knowledge of computer systems and programming, and elementary calculus. The second edition expands on the success of the first edition by updating on technological changes in networks and responding to comprehensive market feedback. ...

Designed for students in various disciplines of engineering, science, mathematics, management and business, this effective study tool includes hundreds of problems with step-by-step solutions and another 150 problems with hints or delayed answers. The solved problems illustrate and strongly reinforce vital theory and techniques. Topics taught include functions of random variables; expectation and limit theorems; and estimation theory, decision theory and queuing theory. ...

Many people do not understand the basic concepts of probability, as evidenced by the proliferation of those participating in lotteries, horse racing, and gambling at casinos. But probability and statistics are becoming increasingly important in today’s society. As the basic ideas are being taught in elementary schools through college, it’s important that everyone has a basic understanding of probability theory. Probability theory explains the happenings that occur due to chance. Although it is not possible to predict for certain the individual outcome of a chance process, it is possible to determine outcomes in the "long run," and to predict the probability that something will eventually occur. This book will present the basics of probability in a non-rigorous manner. Only an understanding of arithmetic and some basic algebra are necessary to learn these ideas. No high-powered mathematical notation or formal proofs will be used, rather the concepts will be developed from examples using coins, dice, cards, and other common probability devices. ...

Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader’s grasp of the material. Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader’s knowledge can be used to describe the world around them. ...

This long-awaited revision provides a concise introduction to topics in abstract algebra, taking full *** of the major advances and developments that have occurred over the last half-century in the theoretical and conceptual aspects of the discipline, particularly in the areas of groups and fields.Key features include:...

This introduction to ordinary differential and difference equations is suited not only for mathematicians but for scientists and engineers as well. Exact solutions methods and qualitative approaches are covered, and many illustrative examples are included. Matlab is used to generate graphical representations of solutions. Numerous exercises are featured and proved solutions are available for teachers. ...

Many of the modern ideas in cosmology can be explained without the needto discuss General Relativity. The present chapter represents an attempt to do this based entirely on Newtonian mechanics. The equations describing...

Research Notes in Theoretical Computer Science....

It has been more than 20 years since this classic book on formal languages, automata theory, and computational complexity was first published. With this long-awaited revision, the authors continue to present the theory in a concise and straightforward manner, now with an eye out for the practical applications. They have revised this book to make it more accessible to today's students, including the addition of more material on writing proofs, more figures and pictures to convey ideas, side-boxes to highlight other interesting material, and a less formal writing style. Exercises at the end of each chapter, including some new, easier exercises, help readers confirm and enhance their understanding of the material. ...

Lewis and Papadimitriou present this long awaited Second Edition of their best-selling theory of computation. The authors are well-known for their clear presentation that makes the material accessible to a a broad audience and requires no special previous mathematical experience. In this new edition, the authors incorporate a somewhat more informal, friendly writing style to present both classical and contemporary theories of computation. Algorithms, complexity analysis, and algorithmic ideas are introduced informally in Chapter 1, and are pursued throughout the book. Each section is followed by problems. ...

This groundbreaking undergraduate textbook on modern Standard English grammar is the first to be based on the revolutionary advances of the authors' previous work, The Cambridge Grammar of the English Language (2002). The text is intended for students in colleges or universities who have little or no previous background in grammar, and presupposes no linguistics. It contains exercises, and will provide a basis for introductions to grammar and courses on the structure of English, not only in linguistics departments but also in English language and literature departments and schools of education. ...

This method is a truly entertaining approach to learning how to play the piano. Written by Ward Cannel of the Piano Consortium, the method breaks down music theory into visual concepts which are fun and easy to grasp, so you can learn to play the music you want to play! Perfect for those piano lesson dropouts! ...