Introductory Mathematics for Earth Scientists - Xin-She Yang

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Résumé :
Any quantitative work in earth sciences requires mathematical analysis. Many mathematical methods are essential to the modeling and analysis of the geological, geophysical, and environmental processes widely studied in earth sciences. This book provides an introduction to the fundamental mathematics that all earth scientists need. Assuming nor more than a standard secondary school level as its starting point, the book is self-contained and provides an essential toolkit of basic mathematics for earth scientists. The topics of earth sciences are vast and multidisciplinary, and consequently the mathematical tools required by its students are diverse and complex. Introductory Mathematics for Earth Scientists strikes a fine balance between coverage and detail. Topics have been selected to provide a concise but comprehensive introductory coverage of all the major and popular mathematical methods. The book offers a 'theorem-free' approach with an emphasis on practicality. With dozens of step-

Biographie:
Xin-She Yang received his DPhil in applied mathematics from the University of Oxford, he is a senior research fellow at the University of Cambridge.

Sommaire:
Contents. Preface. 1 Preliminary Mathematics I. 2 Preliminary Mathematics II. 3 Binomial Theorem and Sequences. 4 Trigonometry and Spherical Trigonometry. 5 Complex Numbers. 6 Differentiation. 7 Integration. 8 Fourier Transforms. 9 Vectors. 10 Matrix Algebra. 11 Ordinary Differential Equations. 12 Partial Differential Equations. 13 Geostatistics. 14 Numerical Methods. Bibliography. Glossary. Mathematical Formulae. Epilogue. Index