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Record Nr. |
UNINA9910465188103321 |
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Autore |
Palmer Paul I. |
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Titolo |
Essential maths for geoscientists : an introduction / / Paul I. Palmer |
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Pubbl/distr/stampa |
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Chichester, England : , : Wiley-Blackwell, , 2014 |
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©2014 |
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ISBN |
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1-118-52702-X |
1-118-52700-3 |
0-470-97193-2 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (218 p.) |
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Disciplina |
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Soggetti |
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Geology - Mathematics |
Mathematics - Study and teaching |
Ecology - Mathematical models |
Environmental protectionels - Mathematical models |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 numbers3.2.2 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 |
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laws; 5.2.2 Solving exponential equations |
5.2.3 Power laws and scaling exponents5.3 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; 6.3 Statistics; 6.3.1 Graphs; 6.3.2 Descriptive statistics; 6.4 Correlations; 6.5 Exercises; 6.5 Exercises; 7 Trigonometry; 7.1 Some geoscience applications of trigonometry |
7.2 Anatomy of a triangle7.3 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 functions9.4 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; A.4 Chapter 5: Logarithms and Exponentials; A.5 Chapter 6: Uncertainties, Errors, and Statistics; A.6 Chapter 7: Trigonometry; A.7 Chapter 8: Vectors |
A.8 Chapter 9: Differentiation |
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Sommario/riassunto |
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Maths for Geoscientists is an accessible, student-friendly introduction to the essential mathematics required by those students taking degree courses within the Geosciences. Clearly structured throughout, this book carefully guides the student step by step through the mathematics they will encounter and will provide numerous applied examples throughout to enhance students understanding and to place each technique into context. Opening with a chapter explaining the need for studying mathematics within geosciences the book then moves on to cover algebra, equations, solutions, log |
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