{"product_id":"an-introduction-to-numerical-analysis-for-electrical-and-computer-engineers-hardback-9780471467373","title":"An Introduction to Numerical Analysis for Electrical and Computer Engineers (Hardback) 9780471467373","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Numerical Analysis for Electrical and Computer Engineers\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eChristopher J. Zarowski (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471467373, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 11 May 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e604 pages, Drawings: 50 B\u0026amp;W, 0 Color\u003cbr\u003e23.8 x 16.3 x 3.3 cm, 0.968 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"Zarkowski (Univ. of Alberta) offers this book as a general, advanced undergraduate work in numerical analysis, containing all of the usual topics.\" (\u003ci\u003eCHOICE\u003c\/i\u003e, October 2004)\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cul\u003e \u003cli\u003eThis book is an introduction to numerical analysis and intends to strike a balance between analytical rigor and the treatment of particular methods for engineering problems\u003c\/li\u003e \u003cli\u003eEmphasizes the earlier stages of numerical analysis for engineers with real-life problem-solving solutions applied to computing and engineering\u003c\/li\u003e \u003cli\u003eIncludes MATLAB oriented examples\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eAn Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Functional Analysis Ideas 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.2 Some Sets 2\u003c\/p\u003e \u003cp\u003e1.3 Some Special Mappings: Metrics, Norms, and Inner Products 4\u003c\/p\u003e \u003cp\u003e1.3.1 Metrics and Metric Spaces 6\u003c\/p\u003e \u003cp\u003e1.3.2 Norms and Normed Spaces 8\u003c\/p\u003e \u003cp\u003e1.3.3 Inner Products and Inner Product Spaces 14\u003c\/p\u003e \u003cp\u003e1.4 The Discrete Fourier Series (DFS) 25\u003c\/p\u003e \u003cp\u003eAppendix 1.A Complex Arithmetic 28\u003c\/p\u003e \u003cp\u003eAppendix 1.B Elementary Logic 31\u003c\/p\u003e \u003cp\u003eReferences 32\u003c\/p\u003e \u003cp\u003eProblems 33\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Number Representations 38\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 38\u003c\/p\u003e \u003cp\u003e2.2 Fixed-Point Representations 38\u003c\/p\u003e \u003cp\u003e2.3 Floating-Point Representations 42\u003c\/p\u003e \u003cp\u003e2.4 Rounding Effects in Dot Product Computation 48\u003c\/p\u003e \u003cp\u003e2.5 Machine Epsilon 53\u003c\/p\u003e \u003cp\u003eAppendix 2.A Review of Binary Number Codes 54\u003c\/p\u003e \u003cp\u003eReferences 59\u003c\/p\u003e \u003cp\u003eProblems 59\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Sequences and Series 63\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 63\u003c\/p\u003e \u003cp\u003e3.2 Cauchy Sequences and Complete Spaces 63\u003c\/p\u003e \u003cp\u003e3.3 Pointwise Convergence and Uniform Convergence 70\u003c\/p\u003e \u003cp\u003e3.4 Fourier Series 73\u003c\/p\u003e \u003cp\u003e3.5 Taylor Series 78\u003c\/p\u003e \u003cp\u003e3.6 Asymptotic Series 97\u003c\/p\u003e \u003cp\u003e3.7 More on the Dirichlet Kernel 103\u003c\/p\u003e \u003cp\u003e3.8 Final Remarks 107\u003c\/p\u003e \u003cp\u003eAppendix 3.A COordinate Rotation DIgital Computing (CORDIC) 107\u003c\/p\u003e \u003cp\u003e3.A.1 Introduction 107\u003c\/p\u003e \u003cp\u003e3.A.2 The Concept of a Discrete Basis 108\u003c\/p\u003e \u003cp\u003e3.A.3 Rotating Vectors in the Plane 112\u003c\/p\u003e \u003cp\u003e3.A.4 Computing Arctangents 114\u003c\/p\u003e \u003cp\u003e3.A.5 Final Remarks 115\u003c\/p\u003e \u003cp\u003eAppendix 3.B Mathematical Induction 116\u003c\/p\u003e \u003cp\u003eAppendix 3.C Catastrophic Cancellation 117\u003c\/p\u003e \u003cp\u003eReferences 119\u003c\/p\u003e \u003cp\u003eProblems 120\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Linear Systems of Equations 127\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 127\u003c\/p\u003e \u003cp\u003e4.2 Least-Squares Approximation and Linear Systems 127\u003c\/p\u003e \u003cp\u003e4.3 Least-Squares Approximation and Ill-Conditioned Linear Systems 132\u003c\/p\u003e \u003cp\u003e4.4 Condition Numbers 135\u003c\/p\u003e \u003cp\u003e4.5 LU Decomposition 148\u003c\/p\u003e \u003cp\u003e4.6 Least-Squares Problems and QR Decomposition 161\u003c\/p\u003e \u003cp\u003e4.7 Iterative Methods for Linear Systems 176\u003c\/p\u003e \u003cp\u003e4.8 Final Remarks 186\u003c\/p\u003e \u003cp\u003eAppendix 4.A Hilbert Matrix Inverses 186\u003c\/p\u003e \u003cp\u003eAppendix 4.B SVD and Least Squares 191\u003c\/p\u003e \u003cp\u003eReferences 193\u003c\/p\u003e \u003cp\u003eProblems 194\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Orthogonal Polynomials 207\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 207\u003c\/p\u003e \u003cp\u003e5.2 General Properties of Orthogonal Polynomials 207\u003c\/p\u003e \u003cp\u003e5.3 Chebyshev Polynomials 218\u003c\/p\u003e \u003cp\u003e5.4 Hermite Polynomials 225\u003c\/p\u003e \u003cp\u003e5.5 Legendre Polynomials 229\u003c\/p\u003e \u003cp\u003e5.6 An Example of Orthogonal Polynomial Least-Squares Approximation 235\u003c\/p\u003e \u003cp\u003e5.7 Uniform Approximation 238\u003c\/p\u003e \u003cp\u003eReferences 241\u003c\/p\u003e \u003cp\u003eProblems 241\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Interpolation 251\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 251\u003c\/p\u003e \u003cp\u003e6.2 Lagrange Interpolation 252\u003c\/p\u003e \u003cp\u003e6.3 Newton Interpolation 257\u003c\/p\u003e \u003cp\u003e6.4 Hermite Interpolation 266\u003c\/p\u003e \u003cp\u003e6.5 Spline Interpolation 269\u003c\/p\u003e \u003cp\u003eReferences 284\u003c\/p\u003e \u003cp\u003eProblems 285\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Nonlinear Systems of Equations 290\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 290\u003c\/p\u003e \u003cp\u003e7.2 Bisection Method 292\u003c\/p\u003e \u003cp\u003e7.3 Fixed-Point Method 296\u003c\/p\u003e \u003cp\u003e7.4 Newton–Raphson Method 305\u003c\/p\u003e \u003cp\u003e7.4.1 The Method 305\u003c\/p\u003e \u003cp\u003e7.4.2 Rate of Convergence Analysis 309\u003c\/p\u003e \u003cp\u003e7.4.3 Breakdown Phenomena 311\u003c\/p\u003e \u003cp\u003e7.5 Systems of Nonlinear Equations 312\u003c\/p\u003e \u003cp\u003e7.5.1 Fixed-Point Method 312\u003c\/p\u003e \u003cp\u003e7.5.2 Newton–Raphson Method 318\u003c\/p\u003e \u003cp\u003e7.6 Chaotic Phenomena and a Cryptography Application 323\u003c\/p\u003e \u003cp\u003eReferences 332\u003c\/p\u003e \u003cp\u003eProblems 333\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Unconstrained Optimization 341\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 341\u003c\/p\u003e \u003cp\u003e8.2 Problem Statement and Preliminaries 341\u003c\/p\u003e \u003cp\u003e8.3 Line Searches 345\u003c\/p\u003e \u003cp\u003e8.4 Newton’s Method 353\u003c\/p\u003e \u003cp\u003e8.5 Equality Constraints and Lagrange Multipliers 357\u003c\/p\u003e \u003cp\u003eAppendix 8.A MATLAB Code for Golden Section Search 362\u003c\/p\u003e \u003cp\u003eReferences 364\u003c\/p\u003e \u003cp\u003eProblems 364\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Numerical Integration and Differentiation 369\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 369\u003c\/p\u003e \u003cp\u003e9.2 Trapezoidal Rule 371\u003c\/p\u003e \u003cp\u003e9.3 Simpson’s Rule 378\u003c\/p\u003e \u003cp\u003e9.4 Gaussian Quadrature 385\u003c\/p\u003e \u003cp\u003e9.5 Romberg Integration 393\u003c\/p\u003e \u003cp\u003e9.6 Numerical Differentiation 401\u003c\/p\u003e \u003cp\u003eReferences 406\u003c\/p\u003e \u003cp\u003eProblems 406\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Numerical Solution of Ordinary Differential Equations 415\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 415\u003c\/p\u003e \u003cp\u003e10.2 First-Order ODEs 421\u003c\/p\u003e \u003cp\u003e10.3 Systems of First-Order ODEs 442\u003c\/p\u003e \u003cp\u003e10.4 Multistep Methods for ODEs 455\u003c\/p\u003e \u003cp\u003e10.4.1 Adams–Bashforth Methods 459\u003c\/p\u003e \u003cp\u003e10.4.2 Adams–Moulton Methods 461\u003c\/p\u003e \u003cp\u003e10.4.3 Comments on the Adams Families 462\u003c\/p\u003e \u003cp\u003e10.5 Variable-Step-Size (Adaptive) Methods for ODEs 464\u003c\/p\u003e \u003cp\u003e10.6 Stiff Systems 467\u003c\/p\u003e \u003cp\u003e10.7 Final Remarks 469\u003c\/p\u003e \u003cp\u003eAppendix 10.A MATLAB Code for Example 10.8 469\u003c\/p\u003e \u003cp\u003eAppendix 10.B MATLAB Code for Example 10.13 470\u003c\/p\u003e \u003cp\u003eReferences 472\u003c\/p\u003e \u003cp\u003eProblems 473\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Numerical Methods for Eigenproblems 480\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 480\u003c\/p\u003e \u003cp\u003e11.2 Review of Eigenvalues and Eigenvectors 480\u003c\/p\u003e \u003cp\u003e11.3 The Matrix Exponential 488\u003c\/p\u003e \u003cp\u003e11.4 The Power Methods 498\u003c\/p\u003e \u003cp\u003e11.5 QR Iterations 508\u003c\/p\u003e \u003cp\u003eReferences 518\u003c\/p\u003e \u003cp\u003eProblems 519\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Numerical Solution of Partial Differential Equations 525\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 525\u003c\/p\u003e \u003cp\u003e12.2 A Brief Overview of Partial Differential Equations 525\u003c\/p\u003e \u003cp\u003e12.3 Applications of Hyperbolic PDEs 528\u003c\/p\u003e \u003cp\u003e12.3.1 The Vibrating String 528\u003c\/p\u003e \u003cp\u003e12.3.2 Plane Electromagnetic Waves 534\u003c\/p\u003e \u003cp\u003e12.4 The Finite-Difference (FD) Method 545\u003c\/p\u003e \u003cp\u003e12.5 The Finite-Difference Time-Domain (FDTD) Method 550\u003c\/p\u003e \u003cp\u003eAppendix 12.A MATLAB Code for Example 12.5 557\u003c\/p\u003e \u003cp\u003eReferences 560\u003c\/p\u003e \u003cp\u003eProblems 561\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 An Introduction to MATLAB 565\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 565\u003c\/p\u003e \u003cp\u003e13.2 Startup 565\u003c\/p\u003e \u003cp\u003e13.3 Some Basic Operators, Operations, and Functions 566\u003c\/p\u003e \u003cp\u003e13.4 Working with Polynomials 571\u003c\/p\u003e \u003cp\u003e13.5 Loops 572\u003c\/p\u003e \u003cp\u003e13.6 Plotting and M-Files 573\u003c\/p\u003e \u003cp\u003eReferences 577\u003c\/p\u003e \u003cp\u003eIndex 579\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Interscience","offers":[{"title":"Brand New","offer_id":52293483659544,"sku":"9780471467373","price":139.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471467373.jpg?v=1781641566","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-numerical-analysis-for-electrical-and-computer-engineers-hardback-9780471467373","provider":"Freshly Printed Books","version":"1.0","type":"link"}