Samuli Siltanen's Books

Step into the World of Mathematics

Math Is Beautiful and Belongs to All of Us

By: Samuli Siltanen

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Step into the World of Mathematics

Math Is Beautiful and Belongs to All of Us

By: Samuli Siltanen

Modern life is increasingly relying on digital technology, which in turn runs on mathematics. However, this underlying math is hidden from us. That is mostly a good thing since we do not want to be solving equations and calculating fractions just to get things done in our everyday business. But the mathematical details do matter for anyone who wants to understand how stuff works, or wishes to create something new in the jungle of apps and algorithms. This book takes a look at the mathematical models behind weather forecasting, climate change prediction, artificial intelligence, medical imaging and computer graphics. The reader is expected to have only a curious mind; technical math skills are not needed for enjoying this text.

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Page Count

127

Publisher

Springer Nature

Published Date

ISBN 10

3030733432

ISBN 13

9783030733438

Linear and Nonlinear Inverse Problems with Practical Applications

By: Jennifer L. Mueller,Samuli Siltanen

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Linear and Nonlinear Inverse Problems with Practical Applications

By: Jennifer L. Mueller,Samuli Siltanen

Inverse 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.

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