{"product_id":"integral-geometry-and-radon-transforms-graduate-text","title":"Integral Geometry and Radon Transforms - Graduate Text","description":"\u003cp\u003eIn this review of Integral Geometry and Radon Transforms, the reviewer finds a focused graduate-level text that directly addresses Radon's problem and its wider implications. The book is best for beginning graduate students or self-learners who need a clear route from basic examples to more advanced topics; its single biggest selling point is the way Helgason connects concrete inversion results and support theorems to applications such as tomography and partial differential equations. The review highlights pedagogical clarity, worked examples, and exercises that point to further research.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eFocused topic coverage:\u003c\/strong\u003e The text keeps the discussion centered on the Radon transform and related integral geometry questions so readers can develop depth rather than breadth.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConcrete inversion results:\u003c\/strong\u003e Important inversion theorems are presented and explained, giving readers practical tools for reconstructing functions from integrals.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eSupport theorem exposition:\u003c\/strong\u003e The book treats support questions in a way that clarifies why they matter for applications like tomography and CAT scanning.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eApplications highlighted:\u003c\/strong\u003e Connections to tomography, partial differential equations, and group representations are made explicit to show real-world relevance.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eExercises with references:\u003c\/strong\u003e A number of exercises point to further results and include documentation, aiding classroom use or self-study.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book is well suited to beginning graduate students in mathematics who seek a rigorous introduction to the Radon transform and integral geometry for coursework or independent study. It is also useful for researchers in applied fields who need a mathematically precise account of inversion theorems and support results, particularly those working on tomography or related inverse problems.\u003c\/p\u003e\n\u003cp\u003eThose who want a broad survey of modern geometric analysis or an elementary undergraduate text should look elsewhere; the presentation assumes comfort with graduate-level mathematics and values depth on Radons problem over wide-ranging exposition.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eClear focus on Radon transforms makes the material coherent and easier to follow for targeted study.\u003c\/li\u003e\n\u003cli\u003eIncludes inversion and support theorems with explanations that relate directly to practical applications like tomography.\u003c\/li\u003e\n\u003cli\u003eExercises are informative and include references that point readers toward current research and further reading.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe specialized scope means readers seeking a broad introduction to all of integral geometry may find the book narrow in coverage.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eIntegral Geometry and Radon Transforms\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor\u003c\/td\u003e\n\u003ctd\u003eSigurdur Helgason\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eLevel\u003c\/td\u003e\n\u003ctd\u003eBeginning graduate \/ self-study\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eMain topics\u003c\/td\u003e\n\u003ctd\u003eRadon transform, inversion, support theorems, applications\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIntended use\u003c\/td\u003e\n\u003ctd\u003eClassroom text or independent study\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApplications highlighted\u003c\/td\u003e\n\u003ctd\u003eTomography, partial differential equations, group representations\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eIntegral Geometry and Radon Transforms is a strong, focused graduate text that delivers clear explanations of inversion and support theorems and makes useful connections to tomography and PDEs. Students and researchers who need a rigorous introduction to the Radon transform will find it good value for classroom use or self-study, while readers seeking broad survey material should complement it with a wider-ranging reference.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for self-study?\u003c\/strong\u003e\u003cbr\u003eYes. The book is aimed at beginning graduate students and includes exercises and documentation that support independent learning.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes it cover applications to tomography?\u003c\/strong\u003e\u003cbr\u003eYes. The text discusses inversion theorems and the support theorem with explicit connections to tomography and CAT scanning applications.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWhat background is required?\u003c\/strong\u003e\u003cbr\u003eReaders should be comfortable with graduate-level mathematics; the exposition assumes familiarity with analysis used in integral geometry and PDE contexts.\u003c\/p\u003e","brand":"Sigurdur Helgason","offers":[{"title":"Default Title","offer_id":48611815817435,"sku":"1489994203","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61aJaw2qCrL._SL1245.jpg?v=1778569489","url":"https:\/\/gearmusthave.com\/products\/integral-geometry-and-radon-transforms-graduate-text","provider":"GearMustHave","version":"1.0","type":"link"}