Mathematics and Technology
(Sprache: Englisch)
The authors present elegant mathematical concepts such as Markov chains, function iteration and simple groups, and develop these concepts, applying them to important practical problems such as web-navigation, data compression and error correcting codes.
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Produktinformationen zu „Mathematics and Technology “
The authors present elegant mathematical concepts such as Markov chains, function iteration and simple groups, and develop these concepts, applying them to important practical problems such as web-navigation, data compression and error correcting codes.
Klappentext zu „Mathematics and Technology “
This book introduces the student to numerous modern applications of mathematics in technology. The authors write with clarity and present the mathematics in a clear and straightforward way making it an interesting and easy book to read. 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 present the mathematical material in a historical context and not just the practical one.
Mathematics and Technology is intended for undergraduate students in mathematics, instructors and high school teachers. Additionally, its lack of calculus centricity as well as a clear indication of the more difficult topics and relatively advanced references make it suitable for any curious individual with a decent command of high school math.
Inhaltsverzeichnis zu „Mathematics and Technology “
- 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
Bibliographische Angaben
- Autoren: Christiane Rousseau , Yvan Saint-Aubin
- 2008, 580 Seiten, Maße: 18,3 x 24,1 cm, Gebunden, Englisch
- Mitarbeit:Antaya, Hélène; Ascah-Coallier, Isabelle;Übersetzung:Hamilton, Chris
- Übersetzer: Chris Hamilton
- Verlag: Springer, New York
- ISBN-10: 0387692150
- ISBN-13: 9780387692159
- Erscheinungsdatum: 19.08.2008
Sprache:
Englisch
Rezension zu „Mathematics and Technology “
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)
"The authors highlight how mathematical modeling, together with the power of mathematical tools, has been crucial for innovation in technology. ... The text is written for students who have a familiarity with Euclidean geometry and have mastered multivariable calculus, linear algebra, and elementary probability theory. ... undergraduates in their junior or senior years are the ideal audience for the course." (Tzvetan Semerdjiev, Zentralblatt MATH, Vol. 1211, 2011)
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