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    Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data

    Data-Driven Modeling & Scientific Computation by Kutz, J. Nathan;

    Methods for Complex Systems & Big Data

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    A termék adatai:

    • Kiadó OUP Oxford
    • Megjelenés dátuma 2026. június 17.

    • ISBN 9780198929093
    • Kötéstípus Keménykötés
    • Terjedelem608 oldal
    • Méret 252x195x33 mm
    • Súly 1435 g
    • Nyelv angol
    • Illusztrációk 240 b/w illustrations
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    Kategóriák

    Rövid leírás:

    An accessible introductory to advanced text focusing on integrating scientific computing methods and algorithms with modern data analysis techniques, including basic applications of machine learning in the sciences and engineering.

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    Hosszú leírás:

    Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data is an accessible introductory-to-advanced textbook focusing on integrating scientific computing methods and algorithms with modern data analysis techniques, including basic applications of machine learning in the sciences and engineering. Its overarching goal is to develop techniques that allow for the integration of the dynamics of complex systems and big data.

    This comprehensive textbook provides a survey of practical numerical solution techniques for ordinary and partial differential equations as well as algorithms for data manipulation, data-driven modelling, and machine learning. Emphasis is on the implementation of numerical schemes to practical problems in the engineering, biological, and physical sciences.

    The high-level programming language python is used throughout the book to implement and develop mathematical solution strategies. One specific aim of the book is to integrate standard scientific computing methods with the burgeoning field of data analysis, machine learning and Artificial Intelligence (AI). This area of research is expanding at an incredible pace in the sciences due to the proliferation of data collection in almost every field of science.

    The enormous data sets routinely encountered in the sciences now certainly give a big incentive to develop mathematical techniques and computational algorithms that help synthesize, interpret, and give meaning to the data in the context of its scientific setting. This brings together, in a self-consistent fashion, the key ideas from (i) statistics, (ii) time-frequency analysis and (iii) low-dimensional reductions in order to provide meaningful insight into the data sets one is faced with in any scientific field today, including those generated from complex dynamic systems. This is a tremendously exciting area and much of this part of the book is driven by intuitive examples of how the three areas (i)-(iii) can be used in combination to give critical insight into the fundamental workings of various problems.

    Review from previous edition The book allows methods for dealing with large data to be explained in a logical process suitable for both undergraduate and post-graduate students ... With sport performance analysis evolving into deal with big data, the book forms a key bridge between mathematics and sport science

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    Tartalomjegyzék:

    Prolegomenon to modern computing
    Part 1. Basic computations and visualization
    Python introduction
    Linear systems
    Numerical differentiation and integration
    Curve fitting
    Basic optimization
    Advanced curve fitting and machine learning
    Visualization
    Part 2. Differential and partial differential equations
    Initial and boundary value problems of differential equations
    Finite difference methods
    Time and space stepping schemes: methods of lines
    Spectral methods
    Finite element methods
    Part 3. Computational methods for data analysis
    Statistical methods and their applications
    Time-frequency analysis: Fourier transforms and wavelets
    Matrix decompositions
    Independent component analysis
    Unsupervised machine learning
    Supervised machine learning
    Reinforcement learning
    Spatio-temporal data and dynamics
    Data assimilation methods
    Bibliography
    Index

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