Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Advanced modern engineering mathematics / / Glyn James [and six others]
| Advanced modern engineering mathematics / / Glyn James [and six others] |
| Autore | James Glyn |
| Edizione | [Fourth edition.] |
| Pubbl/distr/stampa | Harlow, England : , : Prentice Hall, is an imprint of Pearson, , 2011 |
| Descrizione fisica | 1 online resource (1,065 pages) : illustrations |
| Disciplina | 620.001/51 |
| Soggetto topico | Engineering mathematics |
| ISBN |
1-283-05592-9
9786613055927 0-273-71927-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Advanced Modern Engineering Mathematics -- Contents -- Preface -- About the Authors -- Publisher's Acknowledgements -- Matrix Analysis -- Introduction -- Review of matrix algebra -- Definitions -- Basic operations on matrices -- Determinants -- Adjoint and inverse matrices -- Linear equations -- Rank of a matrix -- Vector spaces -- Linear independence -- Transformations between bases -- Exercises (1-4) -- The eigenvalue problem -- The characteristic equation -- Eigenvalues and eigenvectors -- Exercises (5-6) -- Repeated eigenvalues -- Exercises (7-9) -- Some useful properties of eigenvalues -- Symmetric matrices -- Exercises (10-13) -- Numerical methods -- The power method -- Gerschgorin circles -- Exercises (14-19) -- Reduction to canonical form -- Reduction to diagonal form -- The Jordan canonical form -- Exercises (20-27) -- Quadratic forms -- Exercises (28-34) -- Functions of a matrix -- Exercises (35-42) -- Singular value decomposition -- Singular values -- Singular value decomposition (SVD) -- Pseudo inverse -- Exercises (43-50) -- State-space representation -- Single-input-single-output (SISO) systems -- Multi-input-multi-output (MIMO) systems -- Exercises (51-55) -- Solution of the state equation -- Direct form of the solution -- The transition matrix -- Evaluating the transition matrix -- Exercises (56-61) -- Spectral representation of response -- Canonical representation -- Exercises (62-68) -- Engineering application: Lyapunov stability analysis -- Exercises (69-73) -- Engineering application: capacitor microphone -- Review exercises (1-20) -- Numerical Solution of Ordinary Differential Equations -- Introduction -- Engineering application: motion in a viscous fluid -- Numerical solution of first-order ordinary differential equations -- A simple solution method: Euler's method -- Analysing Euler's method.
Using numerical methods to solve engineering problems -- Exercises (1-7) -- More accurate solution methods: multistep methods -- Local and global truncation errors -- More accurate solution methods: predictor-corrector methods -- More accurate solution methods: Runge-Kutta methods -- Exercises (8-17) -- Stiff equations -- Computer software libraries and the `state of the art' -- Numerical solution of second- and higher-order differential equations -- Numerical solution of coupled first-order equations -- State-space representation of higher-order systems -- Exercises (18-23) -- Boundary-value problems -- The method of shooting -- Function approximation methods -- Engineering application: oscillations of a pendulum -- Engineering application: heating of an electrical fuse -- Review exercises (1-12) -- Vector Calculus -- Introduction -- Basic concepts -- Exercises (1-10) -- Transformations -- Exercises (11-17) -- The total differential -- Exercises (18-20) -- Derivatives of a scalar point function -- The gradient of a scalar point function -- Exercises (21-30) -- Derivatives of a vector point function -- Divergence of a vector field -- Exercises (31-37) -- Curl of a vector field -- Exercises (38-45) -- Further properties of the vector operator ∇ -- Exercises (46-55) -- Topics in integration -- Line integrals -- Exercises (56-64) -- Double integrals -- Exercises (65-76) -- Green's theorem in a plane -- Exercises (77-82) -- Surface integrals -- Exercises (83-91) -- Volume integrals -- Exercises (92-102) -- Gauss's divergence theorem -- Stokes' theorem -- Exercises (103-112) -- Engineering application: streamlines in fluid dynamics -- Engineering application: heat transfer -- Review exercises (1-21) -- Functions of a Complex Variable -- Introduction -- Complex functions and mappings -- Linear mappings -- Exercises (1-8) -- Inversion -- Bilinear mappings. Exercises (9-19) -- The mapping w = z2 -- Exercises (20-23) -- Complex differentiation -- Cauchy-Riemann equations -- Conjugate and harmonic functions -- Exercises (24-32) -- Mappings revisited -- Exercises (33-37) -- Complex series -- Power series -- Exercises (38-39) -- Taylor series -- Exercises (40-43) -- Laurent series -- Exercises (44-46) -- Singularities, zeros and residues -- Singularities and zeros -- Exercises (47-49) -- Residues -- Exercises (50-52) -- Contour integration -- Contour integrals -- Cauchy's theorem -- Exercises (53-59) -- The residue theorem -- Evaluation of definite real integrals -- Exercises (60-65) -- Engineering application: analysing AC circuits -- Engineering application: use of harmonic functions -- A heat transfer problem -- Current in a field-effect transistor -- Exercises (66-72) -- Review exercises (1-24) -- Laplace Transforms -- Introduction -- The Laplace transform -- Definition and notation -- Transforms of simple functions -- Existence of the Laplace transform -- Properties of the Laplace transform -- Table of Laplace transforms -- Exercises (1-3) -- The inverse transform -- Evaluation of inverse transforms -- Inversion using the first shift theorem -- Exercise (4) -- Solution of differential equations -- Transforms of derivatives -- Transforms of integrals -- Ordinary differential equations -- Simultaneous differential equations -- Exercises (5-6) -- Engineering applications: electrical circuits and mechanical vibrations -- Electrical circuits -- Mechanical vibrations -- Exercises (7-12) -- Step and impulse functions -- The Heaviside step function -- Laplace transform of unit step function -- The second shift theorem -- Inversion using the second shift theorem -- Differential equations -- Periodic functions -- Exercises (13-24) -- The impulse function -- The sifting property. Laplace transforms of impulse functions -- Relationship between Heaviside step and impulse functions -- Exercises (25-30) -- Bending of beams -- Exercises (31-33) -- Transfer functions -- Definitions -- Stability -- Impulse response -- Initial- and final-value theorems -- Exercises (34-47) -- Convolution -- System response to an arbitrary input -- Exercises (48-52) -- Solution of state-space equations -- SISO systems -- Exercises (53-61) -- MIMO systems -- Exercises (62-64) -- Engineering application: frequency response -- Engineering application: pole placement -- Poles and eigenvalues -- The pole placement or eigenvalue location technique -- Exercises (65-70) -- Review exercises (1-34) -- The z Transform -- Introduction -- The z transform -- Definition and notation -- Sampling: a first introduction -- Exercises (1-2) -- Properties of the z transform -- The linearity property -- The first shift property (delaying) -- The second shift property (advancing) -- Some further properties -- Table of z transforms -- Exercises (3-10) -- The inverse z transform -- Inverse techniques -- Exercises (11-13) -- Discrete-time systems and difference equations -- Difference equations -- The solution of difference equations -- Exercises (14-20) -- Discrete linear systems: characterization -- z transfer functions -- The impulse response -- Stability -- Convolution -- Exercises (21-29) -- The relationship between Laplace and z transforms -- Solution of discrete-time state-space equations -- State-space model -- Solution of the discrete-time state equation -- Exercises (30-33) -- Discretization of continuous-time state-space models -- Euler's method -- Step-invariant method -- Exercises (34-37) -- Engineering application: design of discrete-time systems -- Analogue filters -- Designing a digital replacement filter -- Possible developments. Engineering application: the delta operator and the D transform -- Introduction -- The q or shift operator and the δ operator -- Constructing a discrete-time system model -- Implementing the design -- The D transform -- Exercises (38-41) -- Review exercises (1-18) -- Fourier Series -- Introduction -- Fourier series expansion -- Periodic functions -- Fourier's theorem -- Functions of period 2π -- Even and odd functions -- Linearity property -- Exercises (1-7) -- Functions of period T -- Exercises (8-13) -- Convergence of the Fourier series -- Functions defined over a finite interval -- Full-range series -- Half-range cosine and sine series -- Exercises (14-23) -- Differentiation and integration of Fourier series -- Integration of a Fourier series -- Differentiation of a Fourier series -- Coefficients in terms of jumps at discontinuities -- Exercises (24-29) -- Engineering application: frequency response and oscillating systems -- Response to periodic input -- Exercises (30-33) -- Complex form of Fourier series -- Complex representation -- The multiplication theorem and Parseval's theorem -- Discrete frequency spectra -- Power spectrum -- Exercises (34-39) -- Orthogonal functions -- Definitions -- Generalized Fourier series -- Convergence of generalized Fourier series -- Exercises (40-46) -- Engineering application: describing functions -- Review exercises (1-20) -- The Fourier Transform -- Introduction -- The Fourier transform -- The Fourier integral -- The Fourier transform pair -- The continuous Fourier spectra -- Exercises (1-10) -- Properties of the Fourier transform -- The linearity property -- Time-differentiation property -- Time-shift property -- Frequency-shift property -- The symmetry property -- Exercises (11-16) -- The frequency response -- Relationship between Fourier and Laplace transforms -- The frequency response -- Exercises (17-21). Transforms of the step and impulse functions. |
| Record Nr. | UNINA-9910150237903321 |
James Glyn
|
||
| Harlow, England : , : Prentice Hall, is an imprint of Pearson, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modern engineering mathematics / / Glyn James and David Burley, Dick Clements, Phil Dyke, John Searl, Jerry Wright
| Modern engineering mathematics / / Glyn James and David Burley, Dick Clements, Phil Dyke, John Searl, Jerry Wright |
| Autore | James Glyn |
| Edizione | [Fifth edition.] |
| Pubbl/distr/stampa | Harlow, England : , : Pearson Education Limited, , 2015 |
| Descrizione fisica | 1 online resource (xxv, 1125 pages) : illustrations (some colour) |
| Disciplina | 510.2462 |
| Collana | Always learning |
| Soggetto topico | Engineering mathematics |
| ISBN |
1292080825
9781292080826 1292080817 9781292080819 129208060736 9781292080734 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Numbers, Algebra and Geometry -- Chapter 2: Functions -- Chapter 3: Complex Numbers -- Chapter 4: Vector Algebra -- Chapter 5: Matrix Algebra -- Chapter 6: An Introduction to Discrete Mathematics -- Chapter 7: Sequences, Series and Limits -- Chapter 8: Differentiation and Integration -- Chapter 9: Further Calculus -- Chapter 10: Introduction to Ordinary Differential Equations -- Chapter 11: Introduction to Laplace Transforms -- Chapter 12: Introduction to Fourier Series -- Chapter 13: Data Handling and Probability Theory. |
| Record Nr. | UNINA-9910154928003321 |
|
James Glyn
|
||
| Harlow, England : , : Pearson Education Limited, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||