{"product_id":"linear-and-nonlinear-inverse-problems-with-practical-applications-paperback-softback-9781611972337","title":"Linear and Nonlinear Inverse Problems with Practical Applications (Paperback \/ softback) 9781611972337","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLinear and Nonlinear Inverse Problems with Practical Applications\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA guide to inverse problems and the computational techniques used to solve them, suitable for graduate students and researchers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJennifer L. Mueller (Author), Samuli Siltanen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781611972337\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 November 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e364 pages\u003cbr\u003e22.9 x 15.2 x 2 cm, 0.635 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eInverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Linear Inverse Problems: 1. Introduction\u003cbr\u003e 2. Naïve reconstructions and inverse crimes\u003cbr\u003e 3. Ill-posedness in inverse problems\u003cbr\u003e 4. Truncated singular value decomposition\u003cbr\u003e 5. Tikhonov regularization\u003cbr\u003e 6. Total variation regularization\u003cbr\u003e 7. Besov space regularization using wavelets\u003cbr\u003e 8. Discretization-invariance\u003cbr\u003e 9. Practical X-ray tomography with limited data\u003cbr\u003e 10. Projects\u003cbr\u003e Part II. Nonlinear Inverse Problems: 11. Nonlinear inversion\u003cbr\u003e 12. Electrical impedance tomography\u003cbr\u003e 13. Simulation of noisy EIT data\u003cbr\u003e 14. Complex geometrical optics solutions\u003cbr\u003e 15. A regularized D-bar method for direct EIT\u003cbr\u003e 16. Other direct solution methods for EIT\u003cbr\u003e 17. Projects\u003cbr\u003e Appendix A. Banach spaces and Hilbert spaces\u003cbr\u003e Appendix B. Mappings and compact operators\u003cbr\u003e Appendix C. Fourier transforms and Sobolev spaces\u003cbr\u003e Appendix D. Iterative solution of linear equations.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52446176674072,"sku":"9781611972337","price":64.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781611972337i.jpg?v=1785110839","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/linear-and-nonlinear-inverse-problems-with-practical-applications-paperback-softback-9781611972337","provider":"Freshly Printed Books","version":"1.0","type":"link"}