Dynamics of Gambling: Origins of Randomness in Mechanical SystemsThis monograph presents a concise discussion of the dynamics of mechanical randomizers (coin tossing, die throwing and roulette). The authors derive the equations of motion, also describing collisions and body contacts.
This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations.
It's not a book to dip into. It's more like an intensive course in book-form. In fact it does seem rather that authors simply combined their lecture notes and wrote them up into book form - eg page 22: "That's probably enough for today. Give these ideas a try and let me know how it goes. And speak up in class if you see that we need to go over something". But that doesn't detract (in fact it makes the author appear more human!) and adds to the atmosphere of it being a taught course not a reference book.
This book will save you time as you master the basics taught in first-year, calculus-based college physics courses. You'll firmly grasp the all-important building blocks needed for every physical science and all branches of engineering. The many problems included with guided solutions make this potentially daunting subject much easier. Additional problems with answers give you a chance to reinforce what you've learned and gauge your progress as you go. This next-best thing to a private tutor makes especially clear the topics most students find most difficult. It's ideal for independent study, brushup before an exam, or preparation for the MED-CAT and GRE.
The first book to provide direct evidence for the effectiveness of traditional and reform-oriented teaching methods, Experiencing School Mathematics reports on careful and extensive case studies of two schools that taught mathematics in totally different ways. Three hundred students were followed over three years, providing an unusual and important range of data, including observations, interviews, questionnaires, and assessments, to show the ways students' beliefs and understandings were shaped by the different approaches to mathematics teaching. The interviews that are reproduced in the book give compelling insights into what it meant to be a student in the classrooms of the two schools.
