This text discusses the qualitative properties of dynamical systems including both differential equations and maps, The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams to develop the material including a treatment of chaotic behaviour.

Topics include optimal branching problems, trans-shipment problems, shortest path problems, minimum cost flow problems, maximum flow problems, matching in bipartite and nonbipartite graphs, and applications to combinatorics.

Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.
Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and...

Integrating the three main areas of curve geometry - parametric, algebraic and projective curves - this volume offers an approach that provides a mathematical structure for solving problems, not just a catalogue of theorems. Almost entirely self-contained, the volume integrates the different types of curves, its use of analytic methods, and its examples, exercises and illustrations. The result is a practical work that seeks to impart a deeper understanding of the theory, as well as a heightened appreciation of geometry and interest in more advanced studies.

Offers an introduction to functions of two variables important to careers both within and outside of mathematics. This book includes a section on tangent lines, emphasis on the chain rule, a rearrangement of several chapters, refined examples, and exercises. It maintains a balance between intuition, explanation, methodology, and justification.

As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice. Newcomers to university level mathematics, therefore, must not only grasp the fundamentals of discrete mathematics, they must also learn to use an algebraic manipulator and develop skills in abstract reasoning.
Experimental Mathematics with MAPLE uniquely responds to these needs. Following an emerging trend in research, it places abstraction and axiomatization at the end of a...

Powerful, flexible, easy to use-small wonder that the use of MAPLE(r) continues to increase, particularly since the latest releases of MAPLE. The built-in nature of its numerical and graphical facilities gives MAPLE a distinct advantage over traditional programming languages, yet to date, no textbook has used that advantage to introduce programming concepts. Moreover, few books based on MAPLE's latest versions even exist.
Computing with MAPLE presents general programming principles using MAPLE as a concrete example of a programming language. The author first addresses the basic MAPLE...

During the last decade the techniques of non-linear optim- ization have emerged as an important subject for study and research. The increasingly widespread application of optim- ization has been stimulated by the availability of digital computers, and the necessity of using them in the investigation of large systems. This book is an introduction to non-linear methods of optimization and is suitable for undergraduate and post- graduate courses in mathematics, the physical and social sciences, and engineering. The first half of the book covers the basic optimization techniques including linear...