Essential Maths for Geoscientists An Introduction.

Detalles Bibliográficos
Autor principal: Palmer, Paul I.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2014.
Colección:New York Academy of Sciences Ser.
Temas:
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Essential Maths for Geoscientists
  • Contents
  • Preface
  • 1 How Do You Know that Global Warming Is Not a Hoax?
  • The Earth system: how do we know what we know?
  • 2 Preamble
  • 2.1 The scientific method: pushing back the frontiers of ignorance
  • 2.2 Subscript and superscripts
  • 2.3 Scientific number format
  • 2.4 Significant figures and rounding numbers
  • 2.5 Units and dimensions
  • Unit conversion
  • 2.6 Symbols and numbers
  • 2.7 Mean, median and variance: commonly encountered statistics
  • 2.8 Guesstimation
  • 2.9 Exercises
  • 3 Algebra
  • 3.1 Introduction
  • 3.2 Evaluating algebraic equations
  • 3.2.1 Preamble: symbols and numbers
  • 3.2.2 Powers, roots and bases
  • 3.3 Simplifying algebraic equations
  • Removing brackets
  • 3.4 Factorization
  • 3.4.1 Factorizing quadratic equations
  • 3.5 Transposing formulae
  • 3.6 Word problems
  • 3.7 Exercises
  • 4 Solving Equations
  • 4.1 Solving linear equations
  • 4.1.1 Graphically
  • 4.1.2 Analytically
  • 4.2 Solving simultaneous equations
  • 4.3 Solving quadratic equations
  • 4.3.1 Square roots
  • 4.3.2 Completing the square
  • 4.4 Exercises
  • 5 Logarithms and Exponentials
  • 5.1 Exponentials
  • 5.2 Logarithms
  • 5.2.1 Logarithm laws
  • 5.2.2 Solving exponential equations
  • 5.2.3 Power laws and scaling exponents
  • 5.3 Log-normal and log-log plots: when and how to use them
  • 5.4 Exercises
  • 6 Uncertainties, Errors, and Statistics
  • 6.1 Errors
  • 6.1.1 Important definitions
  • 6.1.2 Measures of error
  • 6.2 Combining errors
  • 6.2.1 Equations with one variable
  • 6.2.2 Equations with two or more variables
  • 6.2.3 Linear equations
  • 6.2.4 Products
  • 6.2.5 Combining results of different experiments
  • 6.5 Exercises
  • 6.3 Statistics
  • 6.3.1 Graphs
  • 6.3.2 Descriptive statistics
  • 6.4 Correlations
  • 6.5 Exercises
  • 7 Trigonometry
  • 7.1 Some geoscience applications of trigonometry
  • 7.2 Anatomy of a triangle
  • 7.3 Angles: degrees and radians
  • 7.4 Calculating angles given a trigonometric ratio
  • 7.5 Cosine and sine rules for non-right-angled triangles
  • 7.6 Exercises
  • 8 Vectors
  • 8.1 What is a vector?
  • 8.2 Resolving a vector
  • 8.3 Vector algebra
  • 8.3.1 Adding and subtracting vectors
  • 8.3.2 Multiplying a vector by a scalar
  • 8.3.3 The resultant of two perpendicular vectors
  • 8.4 Resolving non-perpendicular vectors
  • 8.5 Exercises
  • 9 Calculus 1: Differentiation
  • 9.1 A graphical interpretation of differentiation
  • 9.2 A general formula for differentiation
  • 9.3 The derivative of some common functions
  • 9.4 Differentiation of the sum and difference of functions
  • 9.5 Higher derivatives
  • 9.6 Maxima and minima
  • 9.7 Exercises
  • 10 Calculus 2: Integration
  • 10.1 Introduction
  • 10.2 Definite integrals
  • Area under a curve
  • 10.3 Numerical integration
  • 10.4 Exercises
  • 11 Bringing It All Together
  • A Answers to Problems
  • A.1 Chapter 2: Preamble
  • A.2 Chapter 3: Algebra
  • A.3 Chapter 4: Solving Equations

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