Mathematics of Discrete Structures for Computer Science

This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in

Discrete Event System Simulation is ideal for junior- and senior-level simulation courses in engineering, business, or computer science. It is also a useful reference for professionals in operations

Internet usage has become a facet of everyday life, especially as more technological advances have made it easier to connect to the web from virtually anywhere in the developed world. However, with th

"Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random e

The Beauty of Mathematics in Computer Science explains the mathematical fundamentals of information technology products and services we use every day, from Google Web Search to GPS Navigation, and fro

The Beauty of Mathematics in Computer Science explains the mathematical fundamentals of information technology products and services we use every day, from Google Web Search to GPS Navigation, and fro

Set third graders up for success using this must-have resource! Based on today’s standards, the activities in this book are designed to develop students’ skills in reading, word study, language, writi

Students will learn basic math skills, the use of measurement systems, and strategies of problem solving needed in health science courses. This text is designed for active learning--students are aske

This book constitutes the proceedings of the 7th International Computer Science Symposium in Russia, CSR 2012, held in Nizhny Novgorod in July 2012. The 28 full papers presented in this volume were ca

Nanobiotechnology is a new interdisciplinary science with revolutionary perspectives arising from the fact that at nanosize the behaviour and characteristics of matter change with respect to ordinary

Human behavior is never an exact science, making the design and programming of artificial intelligence that seeks to replicate human behavior difficult. Usually, the answers cannot be found in steril

Provides an in-depth look at the state of the sciences in ancient Egypt, including discussion of philosophy, astronomy, and mathematics.

This volume seeks to engage PK–12 STEM teachers in the work of multicultural curriculum transformation by meeting them in the contexts in which they teach and equip them to continue the work of

Includes 42 Competencies/Skills found on the TExES Mathematics-Science 4-8 test with 271 sample questions. This guide, aligned specifically to standards prescribed by the Texas Department of Education

Support the needs of all fourth graders using this must-have resource! Based on today’s standards, the activities in this book are designed to develop students’ skills in reading, word study, language

Editors Mullenix and Stern (psychology, U. of Pittsburgh at Johnstown) and 35 co-authors offer a book intended to help practitioners and future practitioners work with speech-disabled people who want

Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive