Geometric Methods and Applications
For Computer Science and Engineering
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Beschreibung
This book is an introduction to fundamental geometric concepts and tools for solving problems of a geometric nature with the computer. The level of the book is senior undergraduate with a good math background. Additional topics not covered in the book can be found on the author's website. The book should appeal to computer scientists mathematicians and engineers interested in geometric methods.
Autor*in
Jean Gallier
Themen in »Geometric Methods and Applications«
Triangulation communication computational geometry computer graphics computer vision cryptography differential geometry differential geometry of surfaces geometry modeling robotics sets
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From the reviews:
SIAM REVIEW
"The treatment of each topic is in depth and to the point. It is a rigorous theorem-proof approach on the one hand, but there are plenty of comments and remarks that make for easier reading. The level of the book, if intended for engineers and computer scientists, is advance graduate…The style of the book is often refreshingly informal but never lacks rigor and precision. Each chapter has a copious section of problems. These are not just simple questions such as ‘prove theorem xy,’ but are thorough investigations of subtopics, in a way that will certainly motivate a student’s desire to explore that topic further…I am a mathematician embedded in a computer science environment, and I will certainly study some of the chapters in this book in more depth."
MATHEMATICAL REVIEWS
"The presentation of the material is mathematically rigorous, including precise definitions and proofs for almost all results…Gallier’s book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications."
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