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Mathematics and Technology ...
Mathematics and Technology presents technological applications of mathematics making use of elegant mathematical concepts. The selected subjects consist of: public key cryptography, error correcting codes, the global positioning system (GPS) and cartography, image compression using fractals and the JPEG format, digital recording, robot movement, DNA computing, Google's PageRank algorithm, savings and loans, gamma ray surgery and random number generators. The authors highlight how mathematical modeling, together with the power of mathematical tools, have been crucial for innovation in technology. The exposition is clear, straightforward, motivated by excellent examples, and user-friendly. Numerous exercises at the end of every chapter reinforce the material. An engaging quality is the various historical notes accompanying the mathematical development. This book is intended mainly for undergraduate students in pure and applied mathematics, physics and computer science, instructors, and high school teachers. The main prerequisites are linear algebra and Euclidean geometry. A few chapters require multivariable calculus and elementary probability theory. A clear indication of the more difficult topics and relatively advanced references make it also suitable for an independent reader mastering the prerequisites
Monografía
monografia Rebiun16856455 https://catalogo.rebiun.org/rebiun/record/Rebiun16856455 cr nn 008mamaa 100301s2008 xxu| s |||| 0|eng d 9780387692166 978-0-387-69216-6 10.1007/978-0-387-69216-6 doi UPVA 996876695703706 UAM 991007839495604211 CUNEF 991000429660608131 CBUC 991018725029706706 Rousseau, Christiane Mathematics and Technology Recurso electrnico] by Christiane Rousseau, Yvan Saint-Aubin New York, NY Springer New York 2008 New York, NY New York, NY Springer New York digital Springer Undergraduate Texts in Mathematics and Technology 1867-5506 Preface -- Positioning on Earth and in Space -- Friezes and Mosaics.- Robotic Motion -- Skeletons and Gamma-Ray Radiosurgery -- Savings and Loans -- Error-Correcting Codes -- Public Key Cryptography -- Random-Number Generators.- Google and the PageRank Algorithm -- Why 44,100 Samples per Second?.- Image Compression: Iterated Function Systems -- Image Compression: The JPEG Standard.- The DNA Computer -- Calculus of Variations.- Science Flashes -- Index. Acceso restringido a miembros de la UGR Mathematics and Technology presents technological applications of mathematics making use of elegant mathematical concepts. The selected subjects consist of: public key cryptography, error correcting codes, the global positioning system (GPS) and cartography, image compression using fractals and the JPEG format, digital recording, robot movement, DNA computing, Google's PageRank algorithm, savings and loans, gamma ray surgery and random number generators. The authors highlight how mathematical modeling, together with the power of mathematical tools, have been crucial for innovation in technology. The exposition is clear, straightforward, motivated by excellent examples, and user-friendly. Numerous exercises at the end of every chapter reinforce the material. An engaging quality is the various historical notes accompanying the mathematical development. This book is intended mainly for undergraduate students in pure and applied mathematics, physics and computer science, instructors, and high school teachers. The main prerequisites are linear algebra and Euclidean geometry. A few chapters require multivariable calculus and elementary probability theory. A clear indication of the more difficult topics and relatively advanced references make it also suitable for an independent reader mastering the prerequisites Mathematics Computer science Distribution (Probability theory) Mathematics Mathematical Modeling and Industrial Mathematics Computer Science, general Probability Theory and Stochastic Processes Game Theory, Economics, Social and Behav. Sciences Applications of Mathematics Saint-Aubin, Yvan SpringerLink (Online service) SpringerLink ebooks (Servicio en lnea) Springer eBooks Springer eBooks Printed edition 9780387692159 Springer Undergraduate Texts in Mathematics and Technology 1867-5506