The authors present useful, elegant mathematical concepts such as Markov chains, function iteration and simple groups, and develop these concepts in the context of applications to important, practical problems such as web-navigation,data compression and error correcting codes. The authors highlight how mathematical modeling, together with the power of mathematical tools and abstraction, have been crucial for innovation in technology. The topics are presented with clarity, and the mathematics is expressed in a straightforward manner. Numerous exercises at the end of every section provide practice and reinforce the material in the chapter. An engaging quality of this book is that the authors also put the mathematical material in a historical context and not just a practical one. Mathematics and Technology is intended for undergraduate students, instructors and high school teachers. Prerequisites are essentially linear algebra and Euclidean geometry. Explains elegant mathematical concepts and develops them towards applications in technology Clear and straightforward presentation Numerous exercises at the end of every section provide practice and reinforce the material in the chapter Presents historical context for material along with the practical one Accessible to any individual with a decent command of high school mathematics INDICE: Preface.- Flash-sciences: A collection of small subjects to be taught in one or two hours.- Savings and loans.- Google and the PageRank algorithm.- Image compression with fractals.- Error correcting codes.- Public key cryptography.- Turing machines.- DNA computer.- GPS and positioning in space.- Friezes and tilings.- The movements of a robot.- Calculus of variations.- Why 44100 numbers per second (the standard to record musical CDs).- The JPEG format.-The skeleton and gamma knife radiosurgery.- Bibliography.- Index.
- ISBN: 978-0-387-69215-9
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 440
- Fecha Publicación: 01/07/2008
- Nº Volúmenes: 1
- Idioma: Inglés