The concept of fuzzy sets is one of the most fundamental and influential tools in computational intelligence. Fuzzy sets can provide solutions to a broad range of problems of control, pattern classification, reasoning, planning, and computer vision. This book bridges the gap that has developed between theory and practice. The authors explain...
Search has been vital to artificial intelligence from the very beginning as a core technique in problem solving. The authors present a thorough overview of heuristic search with a balance of discussion between theoretical analysis and efficient implementation and application to real-world problems. Current developments in search such as...
Image synthesis, or rendering, is a field of transformation: it changes
geometry and physics into meaningful images. Because the most popular
algorithms frequently change, it is increasingly important for researchers
and implementors to have a basic understanding of the principles of image
synthesis. Focusing on theory, Andrew...
Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s”...
Beautiful mathematical ideas abound in multimedia software! Some are not
encountered until late in undergraduate or even postgraduate study, whereas they
can be appreciated and used much earlier. This book presents a few dozen such
pearls, strung together by their ubiquity in many applications. It is based on
the course Topics in...
This text makes extensive use of graphing calculators, and worked examples often included an alternative solution using the graphing calculator. However, pencil-and-paper worked examples introduce the concepts so that students will understand the mathematics that the technology uses. This approach also ensure that students who do not have...
The Monte Carlo method is a numerical method of solving mathematical problems through random sampling. As a universal numerical technique, the method became possible only with the advent of computers, and its application continues to expand with each new computer generation. A Primer for the Monte Carlo Method demonstrates how practical...
Scientific computing is about developing mathematical models, numerical
methods and computer implementations to study and solve real problems in science,
engineering, business and even social sciences. Mathematical modeling requires
deep understanding of classical numerical methods. There are a number of
commercial and open...
Math is Exciting. We are living in the greatest age of mathematics ever
seen. In the 1930s, there were some people who feared that the rising
abstractions of the early twentieth century would either lead to mathematicians
working on sterile, silly intellectual exercises or to mathematics
splitting into sharply distinct...
Some information and knowledge are usually represented by human language
like “about 100km”, “approximately 39 ?C”, “roughly 80kg”, “low speed”,
“middle age”, and “big size”. Perhaps some people think that they are subjective
probability or they are fuzziness....
This textbook is ideal for an undergraduate introduction to probability, with a calculus prerequisite. It is based on a course that the author has taught many times at Berkeley. The text's overall style is informal, but all results are stated precisely, and most are proved. Understanding is developed through intuitive explanations and...
The two parts of this book treat probability and statistics as mathematical disciplines and with the same degree of rigour as is adopted for other branches of applied mathematics at the level of a British honours degree. They contain the minimum information about these subjects that any honours graduate in mathematics ought to know. They are...
