Calculus for Computer Graphics 2nd Edition Pdf is now available to download that written by John Vince. Calculus is one of those subjects that appears to have no boundaries, which is why some Calculus books are so large and heavy! So when I started writing the first edition of this book, I knew that it would not fall into this category. It would be around 200 pages long and take the reader on a gentle journey through the subject, without placing too many demands on their knowledge of mathematics. Apart from reviewing the original text and correcting a few typos, this second edition incorporates 3 extra chapters, and all 175 illustrations are in colour. I have also extended Chap. 9 on arc length to include predetermination of curves. The objective of the book remains the same: to inform the reader about functions and their derivatives, and the inverse process: integration, which can be used for computing area and volume. The emphasis on geometry gives the book relevance to the computer graphics community, and hopefully will provide the mathematical background for professionals working in computer animation, games and allied disciplines to read and understand other books and technical papers where differential and integral notation is found.
The book divides into 16 chapters, with the obligatory Introduction and Conclusion chapters. Chapter 2 reviews the ideas of functions, their notation and the different types encountered in everyday mathematics. This can be skipped by readers already familiar with the subject. Chapter 3 introduces the idea of limits and derivatives, and how mathematicians have adopted limits in preference to infinitesimals. Most authors introduce integration as a separate subject, but I have included it in this chapter so that it is seen as an anti derivative, rather than something independent. Chapter 4 looks at derivatives and anti derivatives for a wide range of functions such as polynomial, trigonometric, exponential and logarithmic. It also shows how function sums, products, quotients and function of a function are differentiated. Chapter 5 covers higher derivatives and how they are used to detect a local maximum and minimum. Hit the download link below to get this book.