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Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control

Steven L. Brunton (University of Washington) J. Nathan Kutz (University of Washington)

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Cambridge University Press
28 February 2019
Optimisation; Robotics; Data mining; Mathematical theory of computation; Machine learning
Data-driven discovery is revolutionizing the modeling, prediction, and control of complex systems. This textbook brings together machine learning, engineering mathematics, and mathematical physics to integrate modeling and control of dynamical systems with modern methods in data science. It highlights many of the recent advances in scientific computing that enable data-driven methods to be applied to a diverse range of complex systems, such as turbulence, the brain, climate, epidemiology, finance, robotics, and autonomy. Aimed at advanced undergraduate and beginning graduate students in the engineering and physical sciences, the text presents a range of topics and methods from introductory to state of the art.
By:   Steven L. Brunton (University of Washington), J. Nathan Kutz (University of Washington)
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 261mm,  Width: 184mm,  Spine: 24mm
Weight:   1.170kg
ISBN:   9781108422093
ISBN 10:   1108422098
Pages:   492
Publication Date:   28 February 2019
Audience:   College/higher education ,  A / AS level ,  Further / Higher Education
Format:   Hardback
Publisher's Status:   Active
Part I. Dimensionality Reduction and Transforms: 1. Singular value decomposition; 2. Fourier and wavelet transforms; 3. Sparsity and compressed sensing; Part II. Machine Learning and Data Analysis: 4. Regression and model selection; 5. Clustering and classification; 6. Neural networks and deep learning; Part III. Dynamics and Control: 7. Data-driven dynamical systems; 8. Linear control theory; 9. Balanced models for control; 10. Data-driven control; Part IV. Reduced-Order Models: 11. Reduced-order models (ROMs); 12. Interpolation for parametric ROMs.

Steven L. Brunton is Associate Professor of Mechanical Engineering at the University of Washington. He is also Adjunct Associate Professor of Applied Mathematics and a Data-Science Fellow at the eScience Institute. His research applies data science and machine learning for dynamical systems and control to fluid dynamics, biolocomotion, optics, energy systems, and manufacturing. He has co-authored two textbooks, received the Army and Air Force Young Investigator awards, and was awarded the University of Washington College of Education teaching award. J. Nathan Kutz is the Robert Bolles and Yasuko Endo Professor of Applied Mathematics at the University of Washington, and served as department chair until 2015. He is also Adjunct Professor of Electrical Engineering and Physics and a Senior Data-Science Fellow at the eScience Institute. His research interests are in complex systems and data analysis where machine learning can be integrated with dynamical systems and control for a diverse set of applications. He is an author of two textbooks and has received the Applied Mathematics Boeing Award of Excellence in Teaching and an NSF CAREER award.

Reviews for Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control

'This is a very timely, comprehensive and well written book in what is now one of the most dynamic and impactful areas of modern applied mathematics. Data science is rapidly taking center stage in our society. The subject cannot be ignored, either by domain scientists or by researchers in applied mathematics who intend to develop algorithms that the community will use. The book by Brunton and Kutz is an excellent text for a beginning graduate student, or even for a more advanced researcher interested in this field. The main theme seems to be applied optimization. The subtopics include dimensional reduction, machine learning, dynamics and control and reduced order methods. These were well chosen and well covered.' Stanley Osher, University of California 'Professors Kutz and Brunton bring both passion and rigor to this most timely subject matter. Data analytics is the important topic for engineering in the twenty-first century and this book covers the far-reaching subject matter with clarity and code examples. Bravo!' Steve M. Legensky, Founder and General Manager, Intelligent Light 'Brunton and Kutz provide a lively and comprehensive treatise on machine learning and data mining algorithms as applied to physical systems arising in science and engineering and their control. They provide an abundance of examples and wisdom that will be of great value to students and practitioners alike.' Tim Colonius, California Institute of Technology 'This is a cleanly bound, compact book with medium weight coated paper and crisp text. There are many well-composed figures, most of them in color, with good explanatory captions, and sample code for almost all computational examples. While the code is for MATLAB, it is well commented and should not be too difficult to translate to Python or other computer languages ... This is a fine book, and quite good for a first edition. It is clearly written with many examples and informative figures has a very useful bibliography and many good programming examples. I would use it for a course without reservation, and it has a permanent place on my bookshelf as a reference.' John Starrett, Mathematical Association of America Reviews 'Throughout, topics are discussed with theoretical depth and accompanied by a substantial bibliography. The authors also make use of software code snips.' R. S. Stansbury, Choice 'This is a very timely, comprehensive and well written book in what is now one of the most dynamic and impactful areas of modern applied mathematics. Data science is rapidly taking center stage in our society. The subject cannot be ignored, either by domain scientists or by researchers in applied mathematics who intend to develop algorithms that the community will use. The book by Brunton and Kutz is an excellent text for a beginning graduate student, or even for a more advanced researcher interested in this field. The main theme seems to be applied optimization. The subtopics include dimensional reduction, machine learning, dynamics and control and reduced order methods. These were well chosen and well covered.' Stanley Osher, University of California 'Professors Kutz and Brunton bring both passion and rigor to this most timely subject matter. Data analytics is the important topic for engineering in the twenty-first century and this book covers the far-reaching subject matter with clarity and code examples. Bravo!' Steve M. Legensky, Founder and General Manager, Intelligent Light 'Brunton and Kutz provide a lively and comprehensive treatise on machine learning and data mining algorithms as applied to physical systems arising in science and engineering and their control. They provide an abundance of examples and wisdom that will be of great value to students and practitioners alike.' Tim Colonius, California Institute of Technology 'This is a cleanly bound, compact book with medium weight coated paper and crisp text. There are many well-composed figures, most of them in color, with good explanatory captions, and sample code for almost all computational examples. While the code is for MATLAB, it is well commented and should not be too difficult to translate to Python or other computer languages ... This is a fine book, and quite good for a first edition. It is clearly written with many examples and informative figures has a very useful bibliography and many good programming examples. I would use it for a course without reservation, and it has a permanent place on my bookshelf as a reference.' John Starrett, Mathematical Association of America Reviews 'Throughout, topics are discussed with theoretical depth and accompanied by a substantial bibliography. The authors also make use of software code snips.' R. S. Stansbury, Choice


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