This book explains basic principles of MuPAD commands. It teaches how to write simple programs and develop interactive environments for teaching mathematics. The text gives a large number of useful examples from different areas of undergraduate mathematics developed by the author during his long teaching experience. All the book examples are available online. Flash, SVG and JVX formats are used to display interactive and animated graphics.

This book explains basic principles of MuPAD commands. It teaches how to write simple programs and develop interactive environments for teaching mathematics. The text gives a large number of useful examples from different areas of undergraduate mathematics developed by the author during his long teaching experience. All the book examples are available online. Flash, SVG and JVX formats are used to display interactive and animated graphics.

No book is born in a vacuum. There must always be somebody who needs the book, somebody who will read and use it, and somebody who will write it. I walked with the idea of this book for a long time. However, its final concept came into reality during my lectures, in February 2005, at the Universiti Malaysia Sabah in Borneo. I realized that my students needed a bit more than just my lectures. They needed a text that they could follow during lab sessions or after classes so they could learn at any time, at their own pace. Therefore, I decided to write a small book with just a few chapters covering the different areas of applying the Computer Algebra System called MuPAD in different areas of mathematics. I intended each chapter to be short enough to be covered in a reasonably short time, about 2 to 4 hours. Another important objective was to have each chapter completely independent of the others, so that the readers could easily select and read the chapters that they needed the most, without being forced to read the whole book. There was one obstacle for such a concept—the large number of graphics I used to visualize mathematics. Therefore, I finally decided to write a separate chapter covering the major concepts of MuPAD graphics. The graphics chapter, together with the introductory chapter, forms the base for all the remaining chapters.

Chinese craft design excelled in the manipulation of geometric space and reached its highest point in the design of window lattices on Chinese houses. Long recognized as an important folk art, window lattices have been generally neglected as an art form and this book is the first work on the subject since the 17th century. Fortunately, it is also the definitive work on the subject, and though no book can present a complete coverage of Chinese lattice, this book is a great classic study and an incredibly rich source of design for Westerners. More than 1200 designs are shown here, arranged in a clear system of classification that includes 22 areas of related design — borders, brackets, tail pieces, and so on. The lattices are classified according to one basic figure or concept, and the hundreds of beautiful design variations fall into only 26 categories: parallelogram, octagon or octagon square, hexagon, single focus frames, double focus frames, triple focus frames, quintuple focus frames, no focus frames, wedge-lock, presentation, out-lock, in-out bound, the Han line, parallel waves, opposed waves, recurving wave, loop-continued, like swastikas (a Buddhist symbol), unlike swastikas, central Ju I, allover Ju I, S-scroll, U-scroll, rustic ice-ray, symmetrical ice-ray, and square and round. Each category is introduced in sections at the front. In addition, there is usually a short description for each design and every design is designated by name, location, and approximate date of construction. Professor Dye spent over 21 years studying and copying lattices all over China, and because of the ravages of time and changing cultural values, this collection can probably never be duplicated. Balanced, intricate, sometimes asymmetrical, usually harmonious, these lattice designs present a wealth of material for the Western commercial artist, textile designer, pattern-maker, and craftsman. Reflecting their Chinese heritage, these designs are universal and can be used almost anywhere.