Title: Mathematical Connections: A Companion for Teachers (Classroom Resource Material)
Authors: Al Cuoco
Description
This book is about some of the topics that form the foundations for high school mathematics. It focuses on a closely-knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal’s triangle. Some of these ideas, previously considered quite advanced, more…

Title: Learning to Love Math: Teaching Strategies That Change Student Attitudes and Get Results
Authors: Judy Willis
Description
Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity.

With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to

* Improve deep-seated negative attitudes toward math.
* Plan lessons with the goal of achievable challenge in mind.
* Reduce mistake anxiety with techniques such as errorless math and estimation.
* Teach to different individual learning strengths and skill levels.
* Spark more…

Title: Knowledge and Computing: A Course on Computer Epistemology
Authors: Tibor Vamos
Description
The result of the author’s extensive practical experience: a decade in computer process control using large scale systems, another decade in machine pattern-recognition for vision systems, and nearly a decade dealing with artificial intelligence and expert systems. These real-life projects have taught Vamos a critical appreciation of, and respect for, both abstract theory and the practical methodology that grows out of-and, in turn, shapes-those theories. Machine representation means a level of formalization that can be expressed by the instruments of mathematics, whereas programming is not more and not less than a special linguistic translation of these mathematical formulae. How these all are related and controlled is a most practical more…

Title: Concepts and Applications of Finite Element Analysis, 4th Edition
Authors: Robert D. Cook
David S. Malkus
Michael E. Plesha
Robert J. Witt
Description
This book has been thoroughly revised and updated to reflect developments since the third edition, with an emphasis on structural mechanics. Coverage is up-to-date without making the treatment highly specialized and mathematically difficult. Basic theory is clearly explained to the reader, while advanced techniques are left to thousands of references available, which are cited in the text.
more…

Title: Fast Algorithms for Signal Processing

Description

Efficient signal processing algorithms are important for embedded and power-limited applications since, by reducing the number of computations, power consumption can be reduced significantly. Similarly, efficient algorithms are also critical to very large scale applications such as video processing and four-dimensional medical imaging. This self-contained guide, the only one of its kind, enables engineers to find the optimum fast algorithm for a specific application. It presents a broad range of computationally-efficient algorithms, describes their structure and implementation, and compares their relative strengths for given problems. All the necessary background mathematics is included and theorems are rigorously proved, so all the information needed to learn and apply the techniques is more…

Title: Chases and Escapes: The Mathematics of Pursuit and Evasion

Description

We all played tag when we were kids. The rules couldn’t be easier–one player is designated “it” and must try to tag out one of the others. What most of us don’t realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are at play in military strategy, high-seas chases by the Coast Guard, even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics. more…

Title: Numerical Techniques for Direct and Large-Eddy Simulations (Chapman and Hall/CRC Numerical Analysis and Scientific Computation Series)

Description

Compared to the traditional modeling of computational fluid dynamics, direct numerical simulation (DNS) and large-eddy simulation (LES) provide a very detailed solution of the flow field by offering enhanced capability in predicting the unsteady features of the flow field. In many cases, DNS can obtain results that are impossible using any other means while LES can be employed as an advanced tool for practical applications. Focusing on the numerical needs arising from the applications of DNS and LES, Numerical Techniques for Direct and Large-Eddy Simulations covers basic techniques for DNS and LES that can be applied to practical problems of flow, turbulence, and combustion. more…