Addresses the construction, analysis, and interpretation of mathematical and statistical models. The practical use of the concepts and techniques developed is illustrated by numerous applications. The chosen examples will interest many readers, including those engaged in digital signal analysis in disciplines other than geophysics.
Covering ideas and methods while concentrating on fundamentals, this book includes wave motion; digital imaging; digital filtering; visualization aspects of the seismic reflection method; sampling theory; the frequency spectrum; synthetic seismograms; wavelet processing; deconvolution; seismic attributes; phase rotation; and seismic attenuation.
Probability theory and its applications represent a discipline of fun damental importance to nearly all people working in the high-tech nology world that surrounds us. There is increasing awareness that we should ask not "Is it so?" but rather "What is the probability that it is so?" As a result, most colleges and universities require a course in mathematical probability to be given as part of the undergraduate training of all scientists, engineers, and mathematicians. This book is a text for a first course in the mathematical theory of probability for undergraduate students who have the prerequisite of at least two, and better three, semesters of calculus. In particular, the student must have a good working knowledge of power series expan sions and integration. Moreover, it would be helpful if the student has had some previous exposure to elementary probability theory, either in an elementary statistics course or a finite mathematics course in high school or college. If these prerequisites are met, then a good part of the material in this book can be covered in a semester (IS-week) course that meets three hours a week.
For a thorough comprehension of the field of geophysics, we need to understand its origins. Basic Geophysics by Enders Robinson and Dean Clark takes us on a journey that demonstrates how the achievements of our predecessors have paved the way for our modern science. From the ancient Greeks through the Enlightenment to the greats of the contemporary age, the reasoning behind basic principles is explored and clarified. With that foundation, several advanced topics are examined, including: the 3D wave equation; ray tracing and seismic modeling; reflection, refraction, and diffraction; and WKBJ migration. The successful integration of the historical narrative alongside practical analysis of relevant principles makes this book an excellent resource for both novices and professionals, and all readers will gain insight and appreciation for the seismic theory that underlies modern exploration seismology.
Remote Sensing in Action: The Curious Case of Sherlock Holmes and Albert Einstein (SEG Geophysical Monograph Series No. 18) by Enders A. Robinson and Dean Clark questions a basic assumption of the scientific method — that new theories or experimental results are communicated effectively by traditional methods (e.g., presentations at professional meetings or publication in a peer-reviewed journal) — and suggests that the scientific method needs to be applied to the scientific method itself to find out if other styles of communication might work better. In a highly entertaining format, the book uses the enormously popular fictional characters created by Sir Arthur Conan Doyle to unravel and explain the historical underpinnings of remote sensing. The extended appendices guarantee that all of the science of remote sensing is included in this book of “scientific fiction.” The story covers more than 2000 years, beginning with Pythagoras in ancient Greece and ending with Einstein’s first article on relativity in 1905. Light-years beyond a traditional science textbook, this detective story set in 1905 will teach students of all ages about the exciting journey of scientific discovery.
Time series methods are essential tools in the analysis of many geophysical systems. This volume, which consists of papers presented by a select, international group of statistical and geophysical experts at a Workshop on Time Series Analysis and Applications to Geophysical Systems at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota from November 12-15, 2001 as part of the IMA's Thematic Year on Mathematics in the Geosciences, explores the application of recent advances in time series methodology to a host of important problems ranging from climate change to seismology. The works in the volume deal with theoretical and methodological issues as well as real geophysical applications, and are written with both statistical and geophysical audiences in mind. Important contributions to time series modeling, estimation, prediction, and deconvolution are presented. The results are applied to a wide range of geophysical applications including the investigation and prediction of climatic variations, the interpretation of seismic signals, the estimation of flooding risk, the description of permeability in Chinese oil fields, and the modeling of NOx decomposition from thermal power plants.
Remote Sensing in Action: The Curious Case of Sherlock Holmes and Albert Einstein (SEG Geophysical Monograph Series No. 18) by Enders A. Robinson and Dean Clark questions a basic assumption of the scientific method — that new theories or experimental results are communicated effectively by traditional methods (e.g., presentations at professional meetings or publication in a peer-reviewed journal) — and suggests that the scientific method needs to be applied to the scientific method itself to find out if other styles of communication might work better. In a highly entertaining format, the book uses the enormously popular fictional characters created by Sir Arthur Conan Doyle to unravel and explain the historical underpinnings of remote sensing. The extended appendices guarantee that all of the science of remote sensing is included in this book of “scientific fiction.” The story covers more than 2000 years, beginning with Pythagoras in ancient Greece and ending with Einstein’s first article on relativity in 1905. Light-years beyond a traditional science textbook, this detective story set in 1905 will teach students of all ages about the exciting journey of scientific discovery.
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