Christiane Rousseau, Yvan Saint-Aubin

Mathematics and Technology (eBook, PDF)

Übersetzer: Hamilton, Chris

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 580
• Erscheinungstermin: 29. Oktober 2008
• Englisch
• ISBN-13: 9780387692166
• Artikelnr.: 37287163

Autorenporträt

Contributions by I. Ascah-Coallier und H. Antaya

Inhaltsangabe

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 Page Rank Algorithm.- Why 44100 Samples per Second.- Image Compression Iterated Function Systems.- Image Compression The JPEG Standard.- The DNA Computer.- Calculus of Variations.- Science Flashes.

Rezensionen

From the reviews: "Christiane Rousseau and Yvan Saint-Aubin here present a valuable collection of diverse and detailed applied mathematics examples. ... presented to work as a standalone guide to mathematics at work today, usable for self-study and enlightenment or as a text for coursework. ... Chapters conclude with a rich collection of exercises followed by references for further study. ... together with the clear signposts to help students get around and through the more difficult topics, make Mathematics and Technology suitable for any diligent reader ... ." (Tom Schulte, MAA Online, February, 2009) "This book takes a more detailed view of mathematics in action, in several areas of technology ... . This is an excellent book for a varied audience. ... This book will also be attractive to college students ... and to researchers in mathematics, computer science (CS), and technology, who want to acquire a more thorough understanding of the applications covered in the book. ... the authors give several pointers and suggestions to instructors. ... I like this book and I recommend it." (Edgar R. Chavez, ACM Computing Reviews, June, 2009)