Description: Mutational and Morphological Analysis : Tools for Shape Evolution and Morphogenesis, Paperback by Aubin, Jean-Pierre, ISBN 1461272009, ISBN-13 9781461272007, Brand New, Free shipping in the US
The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory.
These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. . Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets.
"Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology.
Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.
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Book Title: Mutational and Morphological Analysis : Tools for Shape Evolution
Number of Pages: Xxxvii, 425 Pages
Publication Name: Mutational and Morphological Analysis : Tools for Shape Evolution and Morphogenesis
Language: English
Publisher: Birkhäuser Boston
Publication Year: 2012
Item Height: 0.4 in
Subject: Topology, Logic, Applied, Mathematical Analysis
Type: Textbook
Item Weight: 25.3 Oz
Author: Jean-Pierre Aubin
Item Length: 9.3 in
Subject Area: Mathematics
Item Width: 6.1 in
Series: Systems and Control: Foundations and Applications Ser.
Format: Trade Paperback
