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Element Digital Geometry, Math Morpho & Discrete Optimizatio
Hardcover
CalculusGeneral MathematicsGeometry
ISBN13: 9789811248290
Publisher: World Scientific Publishing Company
Published: Jan 21 2022
Pages: 488
Weight: 1.80
Height: 1.06 Width: 6.00 Depth: 9.00
Language: English
The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.
The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality.
To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology.
The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.
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