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Integral Geometry and Radon Transforms
Sigurdur Helgason
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Description for Integral Geometry and Radon Transforms
Hardback. Integral geometry is a fascinating area where numerous branches of mathematics meet together. This book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples. Num Pages: 301 pages, 1 black & white tables, biography. BIC Classification: PBKL; PBMP. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 19. Weight in Grams: 625.
In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial di erential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or ... Read more
In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial di erential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
Springer-Verlag New York Inc. United States
Number of pages
301
Condition
New
Number of Pages
301
Place of Publication
New York, NY, United States
ISBN
9781441960542
SKU
V9781441960542
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Sigurdur Helgason
Dr. Sigurdur Helgason has authored or co-authered 9 books and 94 papers. He has received numerous honors and awards, including the Steele Prize, awarded by the American Mathematical Society in 1988. He has been a professor at MIT since 1960.
Reviews for Integral Geometry and Radon Transforms
From the reviews: “Beginning graduate students and interested nonspecialists will gain from the book because of its clear exposition and comprehensive nature. Practitioners of integral geometry will find it a valuable reference with complete and clear proofs as well as specialized items of interest … . This book is a well-written and beautiful introduction to integral geometry from the ... Read more