Mathematics of Discrete Structures for Computer Science

Based on course notes from over twenty years of teaching engineering and physical sciences at Michigan Technological University, Tomas Co's engineering mathematics textbook is rich with examples, applications and exercises. Professor Co uses analytical approaches to solve smaller problems to provide mathematical insight and understanding, and numerical methods for large and complex problems. The book emphasises applying matrices with strong attention to matrix structure and computational issues such as sparsity and efficiency. Chapters on vector calculus and integral theorems are used to build coordinate-free physical models with special emphasis on orthogonal co-ordinates. Chapters on ODEs and PDEs cover both analytical and numerical approaches. Topics on analytical solutions include similarity transform methods, direct formulas for series solutions, bifurcation analysis, Lagrange–Charpit formulas, shocks/rarefaction and others. Topics on numerical methods include stability analysis,

The Foundations of Computational Mathematics meetings are a platform for cross-fertilisation between numerical analysis, mathematics and computer science. This volume is a collection of articles based on plenary presentations, given at the 2011 meeting, by some of the world's foremost authorities in computational mathematics. The topics covered reflect the breadth of research within the area as well as the richness of interactions between seemingly unrelated branches of pure and applied mathematics. As a result this volume will be of interest to researchers in the field of computational mathematics and also to non-experts who wish to gain some insight into the state of the art in this active and significant field.

Schooling matters. The authors' professional pursuits for over twenty-five years have been focused on measuring one key aspect of schooling: the curriculum - what students are expected to study and what they spend their time studying. This documents their conviction that schools and schooling play a vital and defining role in what students know and are able to do with respect to mathematics and science. This research examines seventeen international studies of mathematics and science to provide a nuanced comparative education study. Whilst including multiple measures of students' family and home backgrounds, these studies measure the substance of the curriculum students study which has been shown to have a strong relationship with student performance. Such studies have demonstrated the interrelatedness of student background and curriculum. Student background influences their opportunities to learn and their achievements, yet their schooling can have even greater significance.

This textbook provides an introductory presentation of all types of lasers. It contains a general description of the laser, a theoretical treatment and a characterization of its operation as it deals

Presents the history of ghosts and scientifically examines the evidence for spectral encounters, including spirit photographs, trace evidence, and ghost-detection phenomena.

From the award-winning NPR religion correspondent comes a fascinating investigation of how science is seeking to answer the question that has puzzled humanity for generations: Can science explain God

Written by a renowned expert in the field, this book is the most comprehensive treatment available on the applications of equations of state (EoS) in geophysics and materials science, a topic of funda

The theory of probability is a powerful tool that helps electrical and computer engineers to explain, model, analyze, and design the technology they develop. The text begins at the advanced undergraduate level, assuming only a modest knowledge of probability, and progresses through more complex topics mastered at graduate level. The first five chapters cover the basics of probability and both discrete and continuous random variables. The later chapters have a more specialized coverage, including random vectors, Gaussian random vectors, random processes, Markov Chains, and convergence. Describing tools and results that are used extensively in the field, this is more than a textbook; it is also a reference for researchers working in communications, signal processing, and computer network traffic analysis. With over 300 worked examples, some 800 homework problems, and sections for exam preparation, this is an essential companion for advanced undergraduate and graduate students. Further re

Many of the actions performed from by a statistical software comes back to handle,down to manipulating or even transforming digital data, which actually representing statistical data literally.It is t

Computer scientists and electrical engineers examine interfaces between humans and computers from the perspectives of gesture interaction, augmented reality with special attention to applications in e

International contributors from academe, research, and industry confirm the importance of computer games as tools in education and management, and examine challenges and trends in computer games in se

Finite Mathematics, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social scien

Finite Mathematics, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social scien

Across the world STEM (learning and work in Science, Technology, Engineering and Mathematics) has taken central importance in education and the economy in a way that few other disciplines have. STEM c

Across the world STEM (learning and work in Science, Technology, Engineering and Mathematics) has taken central importance in education and the economy in a way that few other disciplines have. STEM c