A Primer on Fourier Analysis for the Geosciences

A Primer on Fourier Analysis for the Geosciences PDF Author: Robin Crockett
Publisher: Cambridge University Press
ISBN: 1107142881
Category : Mathematics
Languages : en
Pages : 191

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Book Description
An intuitive introduction to basic Fourier theory, with numerous practical applications from the geosciences and worked examples in R.

A Primer on Fourier Analysis for the Geosciences

A Primer on Fourier Analysis for the Geosciences PDF Author: Robin Crockett
Publisher: Cambridge University Press
ISBN: 1107142881
Category : Mathematics
Languages : en
Pages : 191

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Book Description
An intuitive introduction to basic Fourier theory, with numerous practical applications from the geosciences and worked examples in R.

Tectono-Magmatism, Metallogenesis, and Sedimentation at Convergent Margins

Tectono-Magmatism, Metallogenesis, and Sedimentation at Convergent Margins PDF Author: Meng Wang
Publisher: Frontiers Media SA
ISBN: 2832537693
Category : Science
Languages : en
Pages : 214

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Book Description
Convergent plate margins are important places for material and energy recycling of the Earth, in particular major sites for continental growth, reworking, and recycling. They exhibit as narrow belt structure in the rigid outer layer of the Earth, corresponding to subduction zones at lithospheric mantle depths and orogenic belts at crustal depths. The type, geometry, and thermal structure of subduction zones have critical impacts on subduction processes and nature of products, resulting in a variety of magmatic rocks and ore deposits at convergent margins. Identification and classification of the physical structure and chemical variation at convergent margins as well as confirming their correlation with specific subduction types and stages are of pivotality to understand the spatiotemporal interaction between asthenosphere and lithosphere in orogenic belts. For places where magmatic arcs get partially or entirely destroyed by surface and/or subduction erosion, adjacent sedimentary rocks are ideal geological records for paleotectonic reconstruction.

Dictionary of Mathematical Geosciences

Dictionary of Mathematical Geosciences PDF Author: Richard J. Howarth
Publisher: Springer
ISBN: 3319573152
Category : Science
Languages : en
Pages : 892

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Book Description
This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.

Encyclopedia of Mathematical Geosciences

Encyclopedia of Mathematical Geosciences PDF Author: B. S. Daya Sagar
Publisher: Springer Nature
ISBN: 3030850404
Category : Science
Languages : en
Pages : 1744

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Book Description
The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.

Approximation Theory and Algorithms for Data Analysis

Approximation Theory and Algorithms for Data Analysis PDF Author: Armin Iske
Publisher: Springer
ISBN: 3030052281
Category : Mathematics
Languages : en
Pages : 363

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Book Description
This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization methods * interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation * asymptotic concepts: error estimates and convergence rates * signal approximation by Fourier and wavelet methods * kernel-based multivariate approximation * approximation methods in computerized tomography Providing numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate students.

Exploring Spatial Scale in Geography

Exploring Spatial Scale in Geography PDF Author: Christopher D. Lloyd
Publisher: John Wiley & Sons
ISBN: 1118526813
Category : Technology & Engineering
Languages : en
Pages : 274

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Book Description
Exploring Spatial Scale in Geography provides a conceptual and practical guide to issues of spatial scale in all areas of the physical and social sciences. Scale is at the heart of geography and other spatial sciences. Whether dealing with geomorphological processes, population movements or meteorology, a consideration of spatial scale is vital. Exploring Spatial Scale in Geography takes a practical approach with a core focus on real world problems and potential solutions. Links are made to appropriate software environments with an associated website providing access to guidance material which outlines how particular problems can be approached using popular GIS and spatial data analysis software. This book offers alternative definitions of spatial scale, presents approaches for exploring spatial scale and makes use of a wide variety of case studies in the physical and social sciences to demonstrate key concepts, making it a key resource for anyone who makes use of geographical information.

Mathematical Methods in the Earth and Environmental Sciences

Mathematical Methods in the Earth and Environmental Sciences PDF Author: Adrian Burd
Publisher: Cambridge University Press
ISBN: 1107117488
Category : Mathematics
Languages : en
Pages : 599

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Book Description
An accessible introduction to the mathematical methods essential for understanding processes in the Earth and environmental sciences.

Wavelets and Fractals in Earth System Sciences

Wavelets and Fractals in Earth System Sciences PDF Author: E. Chandrasekhar
Publisher: Taylor & Francis
ISBN: 1466553596
Category : Science
Languages : en
Pages : 308

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Book Description
The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications with significant impact in several branches of earth system sciences. Wavelets and Fractals in Earth System Sciences highlights the role of advanced data processing techniques in present-day research in various fields of earth system sciences. The book consists of ten chapters, providing a well-balanced blend of information about the role of wavelets, fractals, and multifractal analyses with the latest examples of their application in various research fields. By combining basics with advanced material, this book introduces concepts as needed and serves as an excellent introductory material and also as an advanced reference text for students and researchers.

An Introduction to Numerical Methods and Analysis

An Introduction to Numerical Methods and Analysis PDF Author: James F. Epperson
Publisher: John Wiley & Sons
ISBN: 1119604745
Category : Mathematics
Languages : en
Pages : 672

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Book Description
The new edition of the popular introductory textbook on numerical approximation methods and mathematical analysis, with a unique emphasis on real-world application An Introduction to Numerical Methods and Analysis helps students gain a solid understanding of a wide range of numerical approximation methods for solving problems of mathematical analysis. Designed for entry-level courses on the subject, this popular textbook maximizes teaching flexibility by first covering basic topics before gradually moving to more advanced material in each chapter and section. Throughout the text, students are provided clear and accessible guidance on a wide range of numerical methods and analysis techniques, including root-finding, numerical integration, interpolation, solution of systems of equations, and many others. This fully revised third edition contains new sections on higher-order difference methods, the bisection and inertia method for computing eigenvalues of a symmetric matrix, a completely re-written section on different methods for Poisson equations, and spectral methods for higher-dimensional problems. New problem sets—ranging in difficulty from simple computations to challenging derivations and proofs—are complemented by computer programming exercises, illustrative examples, and sample code. This acclaimed textbook: Explains how to both construct and evaluate approximations for accuracy and performance Covers both elementary concepts and tools and higher-level methods and solutions Features new and updated material reflecting new trends and applications in the field Contains an introduction to key concepts, a calculus review, an updated primer on computer arithmetic, a brief history of scientific computing, a survey of computer languages and software, and a revised literature review Includes an appendix of proofs of selected theorems and a companion website with additional exercises, application models, and supplemental resources An Introduction to Numerical Methods and Analysis, Third Edition is the perfect textbook for upper-level undergraduate students in mathematics, science, and engineering courses, as well as for courses in the social sciences, medicine, and business with numerical methods and analysis components.

A Brief History of Geology

A Brief History of Geology PDF Author: Kieran D. O'Hara
Publisher: Cambridge University Press
ISBN: 1107176182
Category : Biography & Autobiography
Languages : en
Pages : 275

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Book Description
Approximately 200 years of the history of the development of the study of geology.