The Mathematics of Medical Imaging: A Beginner's Guide (Springer Undergraduate Texts in Mathematics and Technology) - Tapa blanda

From the reviews:

“It is a textbook that presents a compact, rigorous treatment of basic tomographic image reconstruction at a level suitable for an undergraduate who is strong in math. ... This book is valuable, for it addresses with care and rigor the relevance of a variety of mathematical topics to a real-world problem. ... This book is well written. It serves its purpose of focusing a variety of mathematical topics onto a real-world application that is in its essence mathematics.” (Richard Wendt III, The Journal of Nuclear Medicine, Vol. 51 (12), December, 2010)

“This new book by Timothy Feeman, truly intended to be a beginner’s guide, makes the subject accessible to undergraduates with a working knowledge of multivariable calculus and some experience with vectors and matrix methods. ... The current book begins with a description of the imaging problem in the simplest possible situation, where the physics and geometry are clearest. ... author handles the material with clarity and grace. ... Doing that in a system like MATLAB or Maple would make for a very nice independent project.” (William J. Satzer, The Mathematical Association of America, February, 2010)

“This concise and nicely written book grew out of a course offered by the author in 2008 to undergraduate mathematics majors and minors at Villanova University. ... The book is well structured; the exposition is neat and transparent. All theoretical material is illustrated with carefully selected examples which are easy to follow. ... I highly recommend this interesting, accessible to wide audience and well-written book dealing with mathematical techniques that support recent ground-breaking discoveries in biomedical technology both to students ... and to specialists.” (Svitlana P. Rogovchenko, Zentralblatt MATH, Vol. 1191, 2010)

This text explores medical imaging, one of the most significant areas of recent mathematical applications, in a concise manner accessible to undergraduate students. The author emphasizes the mathematical aspects of medical imaging, including not only the theoretical background, but also the role of approximation methods and the computer implementation of the inversion algorithms.

In twenty-first century health care, CAT scans, ultrasounds, and MRIs are commonplace. Significant computational advances, along with the development, design, and improvement of the machines themselves, can only occur in conjunction with a proper understanding of the mathematics. This book is inherently interdisciplinary in nature, and therefore is appropriate for students of engineering, physics, and computer science, in addition to mathematics.