Mathematics for engineers / / Anthony Croft, Robert Davison

• Autore: Croft Anthony
• Pubblicazione: Harlow, England : , : Pearson Prentice Hall, , 2015
• Edizione: Fourth edition.
• Descrizione fisica: 1 online resource (1,217 pages) : illustrations (some color), tables, graphs
• Disciplina: 624.076
• Soggetto topico: Engineering mathematics
• Persona (resp. second.): DavisonRobert
• Note generali: Includes index.
• Nota di contenuto: Cover -- Title -- Copyright -- Contents -- Publisher's acknowledgements -- Preface -- Using mathematical software packages -- 1 Arithmetic -- Block 1 Operations on numbers -- Block 2 Prime numbers and prime factorisation -- End of chapter exercises -- 2 Fractions -- Block 1 Introducing fractions -- Block 2 Operations on fractions -- End of chapter exercises -- 3 Decimal numbers -- Block 1 Introduction to decimal numbers -- Block 2 Significant figures -- End of chapter exercises -- 4 Percentage and ratio -- Block 1 Percentage -- Block 2 Ratio -- End of chapter exercises -- 5 Basic algebra -- Block 1 Mathematical notation and symbols -- Block 2 Indices -- Block 3 Simplification by collecting like terms -- Block 4 Removing brackets -- Block 5 Factorisation -- Block 6 Arithmetic of algebraic fractions -- Block 7 Formulae and transposition -- End of chapter exercises -- 6 Functions and mathematical models -- Block 1 Basic concepts of functions -- Block 2 The graph of a function -- Block 3 Composition of functions -- Block 4 One-to-one functions and inverse functions -- Block 5 Parametric representation of a function -- Block 6 Describing functions -- Block 7 The straight line -- Block 8 Common engineering functions -- End of chapter exercises -- 7 Polynomial equations, inequalities, partial fractions and proportionality -- Block 1 Solving linear equations -- Block 2 Solving quadratic equations -- Block 3 Factorising polynomial expressions and solving polynomial equations -- Block 4 Solving simultaneous equations -- Block 5 Solution of inequalities -- Block 6 Partial fractions -- Block 7 Proportionality -- End of chapter exercises -- 8 Logarithms and exponentials -- Block 1 The exponential function -- Block 2 Logarithms and their laws -- Block 3 Solving equations involving logarithms and exponentials -- Block 4 Applications of logarithms. ; End of chapter exercises -- 9 Trigonometry -- Block 1 Angles -- Block 2 The trigonometrical ratios -- Block 3 The trigonometrical ratios in all quadrants -- Block 4 Trigonometrical functions and their graphs -- Block 5 Trigonometrical identities -- Block 6 Trigonometrical equations -- Block 7 Engineering waves -- End of chapter exercises -- 10 Further trigonometry -- Block 1 Pythagoras's theorem and the solution of right-angled triangles -- Block 2 Solving triangles using the sine rule -- Block 3 Solving triangles using the cosine rule -- Block 4 Surveying -- Block 5 Resolution and resultant of forces -- End of chapter exercises -- 11 Complex numbers -- Block 1 Arithmetic of complex numbers -- Block 2 The Argand diagram and polar form of a complex number -- Block 3 The exponential form of a complex number -- Block 4 De Moivre's theorem -- Block 5 Solving equations and finding roots of complex numbers -- Block 6 Phasors -- End of chapter exercises -- 12 Matrices and determinants -- Block 1 Introduction to matrices -- Block 2 Multiplication of matrices -- Block 3 Determinants -- Block 4 The inverse of a matrix -- Block 5 Computer graphics -- End of chapter exercises -- 13 Using matrices and determinants to solve equations -- Block 1 Cramer's rule -- Block 2 Using the inverse matrix to solve simultaneous equations -- Block 3 Gaussian elimination -- Block 4 Eigenvalues and eigenvectors -- Block 5 Iterative techniques -- Block 6 Electrical networks -- End of chapter exercises -- 14 Vectors -- Block 1 Basic concepts of vectors -- Block 2 Cartesian components of vectors -- Block 3 The scalar product, or dot product -- Block 4 The vector product, or cross product -- Block 5 The vector equation of a line and a plane -- End of chapter exercises -- 15 Differentiation -- Block 1 Interpretation of a derivative -- Block 2 Using a table of derivatives. ; Block 3 Higher derivatives -- End of chapter exercises -- 16 Techniques and applications of differentiation -- Block 1 The product rule and the quotient rule -- Block 2 The chain rule -- Block 3 Implicit differentiation -- Block 4 Parametric differentiation -- Block 5 Logarithmic differentiation -- Block 6 Tangents and normals -- Block 7 Maximum and minimum values of a function -- End of chapter exercises -- 17 Integration -- Block 1 Integration as differentiation in reverse -- Block 2 Definite integrals -- Block 3 The area bounded by a curve -- Block 4 Computational approaches to integration -- Block 5 Integration by parts -- Block 6 Integration by substitution -- Block 7 Integration using partial fractions -- Block 8 Integration of trigonometrical functions -- End of chapter exercises -- 18 Applications of integration -- Block 1 Integration as the limit of a sum -- Block 2 Volumes of revolution -- Block 3 Calculating centres of mass -- Block 4 Moment of inertia -- Block 5 The length of a curve and the area of a surface of revolution -- Block 6 The mean value and root-mean-square value of a function -- End of chapter exercises -- 19 Sequences and series -- Block 1 Sequences and series -- Block 2 Sums of whole numbers, their squares and cubes -- Block 3 Pascal's triangle and the binomial theorem -- Block 4 Taylor series and Maclaurin series -- End of chapter exercises -- 20 Differential equations -- Block 1 Basic concepts of differential equations -- Block 2 Separation of variables -- Block 3 Solving first-order linear equations using an integrating factor -- Block 4 Computational approaches to differential equations -- Block 5 Second-order linear constant-coefficient equations I -- Block 6 Second-order linear constant-coefficient equations II -- End of chapter exercises -- 21 Functions of more than one variable and partial differentiation. ; Block 1 Functions of two independent variables, and their graphs -- Block 2 Partial differentiation -- Block 3 Higher-order derivatives -- Block 4 Stationary values of a function of two variables -- End of chapter exercises -- 22 The Laplace transform -- Block 1 The Laplace transform -- Block 2 The inverse Laplace transform -- Block 3 Solving differential equations using the Laplace transform -- End of chapter exercises -- 23 Statistics and probability -- Block 1 Data -- Block 2 Data averages -- Block 3 Variation of data -- Block 4 Elementary probability -- Block 5 Laws of probability -- Block 6 Probability distributions -- Block 7 The binomial distribution -- Block 8 The Poisson distribution -- Block 9 The normal distribution -- End of chapter exercises -- 24 An introduction to Fourier series and the Fourier transform -- Block 1 Periodic waveforms and their Fourier representation -- Block 2 Introducing the Fourier transform -- End of chapter exercises -- Typical examination papers -- Appendix 1: SI units and prefixes -- Index.
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• Titolo autorizzato: Mathematics for engineers
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154772003321
• Lo trovi qui: Univ. Federico II