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BeschreibungThis book is a comprehensive study of the analytic aspects of mathematical tomography, which is primarily the study of the Radon transform. The Radon transform operates on a function by integrating it over hyperplanes. The first three chapters are devoted to elementary and graphical introductions to the Radon transform, tomography and CT scanners, a rigorous development of the basic properties of the Radon transform, and Grassmann manifolds to the study of k-plane transform. The remaining chapters are concerned with some more advanced topics.
Inhaltsverzeichnis1. Computerized tomography, X-rays, and the Radon transform; 2. The Radon transform; 3. The k Plane transform, the Radon- John transform; 4. Range and differential equations; 5. Generalizations and variants of the Radon transform.
PortraitProfessor Andrew Markoe is a Professor of Mathematics at Rider University, Lawrenceville, New Jersey. He lives in Lawrenceville, NJ with his wife and the youngest of his three daughters. He graduated with a B.S. in Mathematics from the City College of New York in 1964 and received his Ph.D. in Mathematics from Brown University in 1969. His fields of research include several complex variables, integral geometry and tomography. He is a member of the American Mathematical Society. His hobbies include playing Lacrosse, playing squash and flying.
Pressestimmen'This book was written to appeal to the broadest possible group of readers. The first chapter, which introduces computerized tomography, X-ray imaging and the Radon transform requires almost no mathematical background.' L'enseignement mathematique 'The book is very carefully written and may be read at various levels. The bibliography is very detailed (it contains 630 items) and at the end of each chapter there is a section of additional references and results which constitute a guide for further study. In conclusion, this is a valuable book for everyone interested in Radon transforms and its applications, from beginners to experts.' Zentralblatt MATH 'I recommend this book for everybody interested in Radon transform or tomography. This book is great to get acquainted, get involved and start research but also good for researchers of any kind of Radon tranform.' Acta Scientiarum Mathematicarum
Untertitel: 'Encyclopedia of Mathematics an'. Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Dezember 2005
Seitenanzahl: 400 Seiten