Seismic modelling and imaging of the earth's subsurface are complex and difficult computational tasks. The authors of this volume present general numerical methods based on the complete wave equation for solving these important seismic exploration problems.
This is the fourth book in the Math Made a Bit Easier series by independent author and math tutor Larry Zafran. As the second "main" book of the series, it builds upon the first book which covered key topics in basic math. Before working with this book, it is absolutely essential to have completely mastered all of the material from the first book. Continuing the roadmap which began with the first book, this book covers the basics of the following topics of algebra and geometry: Expressions, equations, inequalities, exponents, factoring, the FOIL method, lines, angles, area, perimeter, volume, triangles, the Pythagorean Theorem, linear equations, and the Cartesian coordinate plane.Again, if the prerequisite material from the first book has not been fully learned, the student will almost certainly proclaim that this book and its material are "hard," and will continue to feel frustrated with math. There is no way to avoid learning math step-by-step at one's own pace. This book emphasizes concepts which commonly appear on standardized exams. While it does not go into great detail about any concept, it explains the material conversationally and "in plain English." Some practice exercises and self-tests are included. Mastery of these concepts will likely be sufficient for the student to achieve his/her math goals, but more advanced exams may require some knowledge of material presented in later books in the series.
This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult problem in combinatorial geometry. The author also discusses in detail various problems in incidence geometry associated to Paul Erdős's famous distinct distances problem in the plane from the 1940s. The proof techniques are also connected to error-correcting codes, Fourier analysis, number theory, and differential geometry. Although the mathematics discussed in the book is deep and far-reaching, it should be accessible to first- and second-year graduate students and advanced undergraduates. The book contains approximately 100 exercises that further the reader's understanding of the main themes of the book.
Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google's PageRank. Unlike other texts on the subject, thi
New York City for Families includes everything a family needs to know to become temporary New Yorkers. This guide can help readers find affordable travel, accommodations for less, delicious and inexpensive meals, and reveal how to get around the Big Apple with ease. Illustrations.
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