Cover Image
Read Now

Mathematics for Seismic Data Processing and Interpretation

With the growth of modern computing power it has become possible to apply far more mathematics to real problems. This has led to the difficulty that many people who have been working in various jobs suddenly find themselves not understanding the modern processing which is being applied to their own...

Full description

Bibliographic Details
Main Authors: Camina, A.R., Janacek, J. (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1984, 1984
Edition:1st ed. 1984
Subjects:
Geophysics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Special Functions
  • 1 Functions
  • 2 Polynomials and Step Functions
  • 3 Trigonometrie Functions
  • 4 Power and Exponential Functions
  • 5 Inverse Functions
  • 6 New Functions from Old
  • 7 Numbers
  • 2 Calculus: Differentiation
  • 1 Introduction
  • 2 Higher Derivatives
  • 3 Maxima and Minima
  • 4 Taylor Series and Approximations
  • 5 Partial Derivatives
  • 6 Higher Order Partial Derivatives
  • 7 Optimisation
  • 3 Integration
  • 1 Introduction and Definition
  • 2 The Relationship between Integration and Differentiation
  • 3 Numerical Integration (Quadrature)
  • 4 Double Integration
  • 5 Line Integrals
  • 6 Differential Equations
  • 4 Complex Numbers
  • 1 Introduction
  • 2 The Beginning
  • 3 Functions of Complex Variables
  • 4 Differentiation and Integration
  • 5 Matrices
  • 1 Introduction
  • 2 Definitions and Elementary Properties
  • 3 Matrices
  • 4 Multiplication of Matrices
  • 5 Special Types of Matrices
  • 6 Matrices as Functions
  • 7 Linear Equations
  • 8 Eigenvalues and Quadratic Forms
  • 6 Stochastic Processes, Probability and Statistics
  • 1 Introduction
  • 2 Probability
  • 3 Permutations and Combinations
  • 4 Probability Distributions
  • 5 Joint Distributions
  • 6 Expected Values and Moments
  • 7 Real Data Samples
  • 8 Two Variables
  • 9 Simulation and Monte Carlo Methods
  • 10 Confidence Intervals
  • 11 Stochastic Processes
  • 7 Fourier Analysis
  • 1 Introduction
  • 2 Fourier Series
  • 3 Some Examples of Fourier Analysis
  • 4 The Phase, Amplitude and Exponential Formulation
  • 5 Fourier Transform
  • 6 The z-Transform
  • 7 The Discrete Fourier Transform
  • 8 Fast Fourier Transform
  • 9 Frequency Domain
  • 8 Time Series
  • 1 Stationary and Related Series
  • 2 Aliasing and Sampling
  • 3 Filters and Convolutions
  • 9 Applications
  • 1 Wavelets
  • 2 Predictive Deconvolution
  • Appendix 1 References To Applications
  • Appendix 2Some Useful Formulae for Ready Reference
  • Appendix 3 Programs

Similar Items