Mathematical Models in Photographic Sciences: 3 - Rilegato

Friedman, Avner; Ross, David

Rilegato

ISBN 10: 3540442197 ISBN 13: 9783540442196

Casa editrice: Springer Nature, 2002

Riassunto

This book presents mathematical models that arise in current photographic science. The book contains seventeen chapters, each dealing with one area of photographic science, and a final chapter containing exercises. Each chapter, except the two introductory chapters, begin with general background information at a level understandable by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as ordinary differential equations, partial differential equations, and stochastic processes. Next, some mathematical results are mentioned, often providing a partial solution to problems raised by the model. Finally, most chapters include open problems. The last chapter of the book contains "Modeling and Applied Mathematics" exercises based on the material presented in the earlier chapters. These exercises are intended primarily for graduate students and advanced undergraduates.

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Informazioni sull'autore

Anver Friedman is a Distinguished University Professor. He received his PH.D. degree in 1956 from the Hebrew University. His research interests include partial differential equations, both general mathematical theory as well as applications to models that arise in the physical and life sciences, in engineering, and in industry. Chiu-Yen Kao is an Associate Professor at Claremont McKenna College. Her area of expertise is in applied mathematics.

Dalla quarta di copertina

th Although photography has its beginning in the 17 century, it was only in the 1920¿s that photography emerged as a science. And as with other s- ences, mathematics began to play an increasing role in the development of photography. The mathematical models and problems encountered in p- tography span a very broad spectrum, from the molecular level such as the interaction between photons and silver halide grains in image formation, to chemical processing in ?lm development and issues in manufacturing and quality control. In this book we present mathematical models that arise in today¿s p- tographic science. The book contains seventeen chapters, each dealing with oneareaofphotographicscience.Eachchapter,exceptthetwointroductory chapters, begins with general background information at a level understa- able by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as Ordinary Di?erential Equations, Partial Di?erential Equations, and Stochastic Processes. Next, some mathematical results are mentioned, often providing a partial solution to problemsraisedby the model.Finally,mostchaptersinclude problems.By the nature of the subject, there is quite a bit ofdisparity in the mathematical level of the various chapters.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3540442197
• ISBN 13: 9783540442196
• Rilegatura: Copertina rigida
• Numero di pagine: 184
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania