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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
Opac: Controlla la disponibilità qui
Brilliant checklists for entrepreneurs : your shortcut to success / / Robert Ashton
Brilliant checklists for entrepreneurs : your shortcut to success / / Robert Ashton
Autore Ashton Robert
Edizione [Third edition.]
Pubbl/distr/stampa Harlow, England : , : Prentice Hall, is an imprint of Pearson, , 2010
Descrizione fisica 1 online resource (234 pages)
Disciplina 658.421
Collana Brilliant
Soggetto topico Entrepreneurship
New business enterprises
ISBN 1-282-98373-3
9786612983733
0-273-74081-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Brilliant Checklists for Entrepreneurs -- About the Author -- Contents -- Introduction -- Chapter 1: Be Ambitious: Set Your Sights At the Right Level -- 10 Ways to Think of Your Business Idea -- 10 Proven Tips on Creative Thinking -- 10 Things You Need to Be Honest With Yourself About -- 10 Things to Check Before Chucking in Your Job -- Chapter 2: Goals: Making Sure Your Enterprise Fits Your Ethos -- 10 Ways to Help Your Family Share Your Dream -- 10 Common Self-Doubts and How to Conquer Them -- 10 Ways to Work Out How Big You Want to Grow -- 10 Questions to Help You Match Your Business to Your Lifestyle -- Chapter 3: Do Research: Easy Ways to Check Your Business Idea -- 10 Quick and Simple Ways to Measure Potential -- 10 Free Ways to Research Your Idea on the Internet -- 10 Good Questions and Where to Ask Them -- 10 Ways to Test Your New Idea -- 10 People Who Might Do Your Research for Free -- Chapter 4: Write Your Plan: How to Make a Convincing Case -- 10 Things Every Business Plan Should Contain -- 10 Important Figures and How to Calculate Them -- 10 Things Your Bank Managers Like to See -- 10 Shortcuts to An Accurate Cash Flow Forecast -- 10 Points to Consider When Choosing a Business Structure -- Chapter 5: Get Advice: Find People Able to Help You -- 10 People Who Can Offer You the Best Advice -- 10 Things to Check When Choosing a Business Adviser -- 10 Ways to Find a Mentor and Why it's Important -- 10 Things Advisers Can Always Do Better Than You -- Chapter 6: Find the Cash: How to Fund Start-Up and Growth -- 10 Places to Look First to Finance Your Business -- 10 Less Obvious Places to Look for Funding -- 10 Ways to Reduce the Amount You Need, Maybe to Zero! -- 10 Demands Investors Sometimes Make -- 10 Things About Overdrafts You Need to Know -- Chapter 7: Be Profitable: Ways to Manage Your Margins.
10 Steps to Improve Your Trading Margins -- 10 Things That Erode Your Profits and How to Avoid Them -- 10 Things About Trading Terms it's Good to Bear in Mind -- 10 Quick Ways to Increase Your Profitability -- Chapter 8: Manage Cash Flow: Keeping the Business Going -- 10 Simple Tips for a Healthy Cash Flow -- 10 Situations Where You Need to Focus Harder on Cash Flow -- 10 Ways to Deal With Running Out of Cash -- 10 Ways to Ask for Overdue Payment -- Chapter 9: Control Costs: How to Earn More By Spending Less -- 10 Reasons Why it's Smart to Manage Your Costs -- 10 Tips to Help You Work Better With Your Suppliers -- 10 Tips for Managing What You Spend on Customers -- 10 Types of Tax You Need to Know About -- Chapter 10: Go to Work: How to Find Premises, or Work Successfully At Home -- 10 Good Reasons Not to Pay for An Office -- 10 Ways to Look Bigger Than a One-Man Band -- 10 Things to Look Out for Before Renting or Leasing -- 10 Workspace Ideas You Might Not Have Considered -- Chapter 11: Market Yourself: Understand Why People Buy -- 10 Things Your Customers Will Look for -- 10 Ways to Make Your Business More Memorable -- 10 Design Tips to Bring What You Do to Life -- 10 Top Marketing Tips That Experts Rarely Share -- Chapter 12: Succeed Online: Make More From Your Website -- 10 Things the Best Websites Have in Common -- 10 Top Search Engine Optimisation Tips -- 10 Things to Know Before You Sell Online -- 10 Ways to Build An Audience -- Chapter 13: Meet People: Network on and Offline -- 10 Top Networking Tips -- 10 Places to Meet New People -- 10 Ways to Network Online -- 10 Tips for Twitter and Facebook -- Chapter 14: Get Sales: How to Win and Keep Customers -- 10 Ways to Sell -- 10 Top Tips on Closing More Sales -- 10 Benefits of Selling Through Others -- 10 Benefits of Selling Direct -- 10 Common Sales Pitfalls and How to Avoid Them.
Chapter 15: Build a Team: Recruit and Manage People -- 10 Questions to Ask When Recruiting -- 10 Positive Ways to Deal With Employment Legislation -- 10 Things That Will Make You a Better Boss -- 10 Ways to Delegate and Share the Work -- Chapter 16: Be Motivating: Get the Best From Yourself and Others -- 10 Ways to Motivate Yourself -- 10 Things to Do That Will Make You More Motivating -- 10 Training Opportunities Most Overlooked -- 10 Common People Problems and How to Solve Them -- 10 Ways to Manage Stress in Yourself and Others -- Chapter 17: Avoid Surprises: Predict and Overcome Those Unexpected Hurdles -- 10 Staff Surprises -- 10 Customer Surprises -- 10 Supplier Surprises -- 10 Unlikely But Possible Surprises -- Chapter 18: Be Generous: How to Help Yourself By Helping Others -- 10 Ways to Build Your Business By Helping Others -- 10 Ways to Entertain Your Customers for Free -- 10 Lessons You Can Learn From Social Entrepreneurs -- 10 Benefits of Making a Philanthropic Gesture -- Chapter 19: Sell Your Business: How to Realise the Value -- 10 Ways to Decide That it's Time to Move on -- 10 Things That Add Value to Your Business -- 10 Ways to Find a Buyer -- 10 Reasons to Merge Your Business With Another -- 10 Things You'Ll Do Differently the Second Time Around -- Useful Document Templates: Shortcuts for You to Copy, Adapt and Use -- Sales Letters -- Follow-Up Letters -- Getting-Paid Letters -- The Business Plan -- Confidentiality and Intellectual Property.
Record Nr. UNINA-9910150515803321
Ashton Robert  
Harlow, England : , : Prentice Hall, is an imprint of Pearson, , 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui