Integration and Cubature Methods: A Geomathematically Oriented Course (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) [Hardcover] Freeden, Willi and Gutting, Martin

Book Details:

• Publisher: CRC Press

• Author: Willi Freeden

• Language: English

• Edition: 1st Edition

• ISBN: 9781138718821

• Pages: 501

• Cover: Hardcover

• Dimensions: 9.4 x 6.4 x 1.3 inches

About the Book:

Integration and Cubature Methods: A Geomathematically Oriented Course by Willi Freeden offers a comprehensive introduction to the advanced methods of integration and cubature specifically designed for geosciences. This book addresses a critical gap in the application of multivariate numerical integration, particularly in the context of geospatial data and models that extend over complex, irregular volumes like spheres, ellipsoids, geoids, and even the Earth itself.

While industry and economics often rely on one-dimensional approximate integration techniques, Freeden highlights the necessity for more sophisticated, multivariate integration methods when working with geomathematical problems. The book provides a foundational understanding of these methods, tailored for students, researchers, and practitioners in fields such as geophysics, environmental science, and applied mathematics.

The author explores both theoretical concepts and practical applications of integration and cubature, breaking new ground in geomathematics. With a focus on precise integration over potato-like volumes and their boundary surfaces, this book serves as a critical resource for those working with spatially distributed data and complex geophysical models. It is an essential guide for anyone looking to deepen their understanding of advanced integration techniques in the context of geosciences and beyond.