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Meet Agnes, an ordinary gray tabby with an extraordinary talent for mischief and adventure. A scrawny kitten rescued from a funeral home, she joins the Rasmussen family and becomes a confident, clever, and almost magical cat. Agnes disappears into hidng places from which she cant be found; she finds ways to join her people on adventures; she manages to satisfy unusual food tastes. Although never a mean cat, she lets the Rasmussens know when her desires are thwarted, but rewards them with purrs when she is happy.Join Agnes in AGNESS FIRST CHRISTMAS, as she observes the strange but delightful activities of humans during the holidays. When she realizes that the trimmed tree and wrapped presents are not meant for her playthings, how can she discover ways to celebrate Christmas?In AGNES ON THE MOVE, Agnes becomes determined to join her people on their trip to Disneyland, where she hopes to stalk Mickey Mouse. How will she hide in the car? What adventures and challenges await her? How does she become a Disneyland attratction?In AGNES SOLVES A MYSTERY, Agnes travels with her family to a wilderness lodge during the Christmas holidays. Although she is allowed to stay, the lodge rules interfere with her desire to explore the lodge with its halls, lobby and and brand new hiding places. How will she escape to freedom? How will she cope with unforseen threats? How will Agnes solve a mystery?
The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study.Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medical imaging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects. Illuminating videos are available on Springer.com and Link.Springer.com that present animated visualizations of several concepts.The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.
With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study.Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis.
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