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200209s2013 xx o 000 0 eng d |
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|a UX1
|b eng
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|a 9781118789377
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|a 1118789377
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|a (OCoLC)1141442515
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|a 518
|q OCoLC
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| 049 |
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|a UAMI
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|a Epperson, James F.
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| 245 |
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|a Solutions Manual to accompany An Introduction to Numerical Methods and Analysis /
|c Epperson, James F.
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| 260 |
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|a [Place of publication not identified]
|b John Wiley & Sons, Incorporated,
|c 2013.
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| 300 |
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
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|a Title from content provider.
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|a Intro -- Contents -- Title Page -- Copyright -- Preface to the Solutions Manual -- CHAPTER 1: INTRODUCTORY CONCEPTS AND CALCULUS REVIEW -- 1.1 BASIC TOOLS OF CALCULUS -- 1.2 ERROR, APPROXIMATE EQUALITY, AND ASYMPTOTIC ORDER NOTATION -- 1.3 A PRIMER ON COMPUTER ARITHMETIC -- 1.4 A WORD ON COMPUTER LANGUAGES AND SOFTWARE -- 1.5 SIMPLE APPROXIMATIONS -- 1.6 APPLICATION: APPROXIMATING THE NATURAL LOGARITHM -- 1.7 A BRIEF HISTORY OF COMPUTING -- CHAPTER 2: A SURVEY OF SIMPLE METHODS AND TOOLS -- 2.1 HORNER'S RULE AND NESTED MULTIPLICATION -- 2.2 DIFFERENCE APPROXIMATIONS TO THE DERIVATIVE
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|a 2.3 APPLICATION: EULER'S METHOD FOR INITIAL VALUE PROBLEMS -- 2.4 LINEAR INTERPOLATION -- 2.5 APPLICATION -- THE TRAPEZOID RULE -- 2.6 SOLUTION OF TRIDIAGONAL LINEAR SYSTEMS Exercises: -- 2.7 APPLICATION: SIMPLE TWO-POINT BOUNDARY VALUE PROBLEMS -- CHAPTER 3: ROOT-FINDING -- 3.1 THE BISECTION METHOD -- 3.2 NEWTON'S METHOD: DERIVATION AND EXAMPLES -- 3.3 HOW TO STOP NEWTON'S METHOD -- 3.4 APPLICATION: DIVISION USING NEWTON'S METHOD -- 3.5 THE NEWTON ERROR FORMULA -- 3.6 NEWTON'S METHOD: THEORY AND CONVERGENCE Exercises: -- 3.7 APPLICATION: COMPUTATION OF THE SQUARE ROOT
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|a 3.8 THE SECANT METHOD: DERIVATION AND EXAMPLES -- 3.9 FIXED POINT ITERATION -- 3.10 ROOTS OF POLYNOMIALS (PART 1) -- 3.11 SPECIAL TOPICS IN ROOT-FINDING METHODS -- 3.12 VERY HIGH-ORDER METHODS AND THE EFFICIENCY INDEX -- CHAPTER 4: INTERPOLATION AND APPROXIMATION -- 4.1 LAGRANGE INTERPOLATION -- 4.2 NEWTON INTERPOLATION AND DIVIDED DIFFERENCES -- 4.3 INTERPOLATION ERROR -- 4.4 APPLICATION: MULLER'S METHOD AND INVERSE QUADRATIC INTERPOLATION -- 4.5 APPLICATION: MORE APPROXIMATIONS TO THE DERIVATIVE -- 4.6 HERMITE INTERPOLATION -- 4.7 PIECEWISE POLYNOMIAL INTERPOLATION
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|a 4.8 AN INTRODUCTION TO SPLINES -- 4.9 APPLICATION: SOLUTION OF BOUNDARY VALUE PROBLEMS -- 4.10 TENSION SPLINES -- 4.11 LEAST SQUARES CONCEPTS IN APPROXIMATION -- 4.12 ADVANCED TOPICS IN INTERPOLATION ERROR -- CHAPTER 5: NUMERICAL INTEGRATION -- 5.1 A REVIEW OF THE DEFINITE INTEGRAL -- 5.2 IMPROVING THE TRAPEZOID RULE -- 5.3 SIMPSON'S RULE AND DEGREE OF PRECISION -- 5.4 THE MIDPOINT RULE -- 5.5 APPLICATION: STIRLING'S FORMULA -- 5.6 GAUSSIAN QUADRATURE -- 5.7 EXTRAPOLATION METHODS -- 5.8 SPECIAL TOPICS IN NUMERICAL INTEGRATION -- CHAPTER 6: NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS
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|a 6.1 THE INITIAL VALUE PROBLEM -- BACKGROUND -- 6.2 EULER'S METHOD -- 6.3 ANALYSIS OF EULER'S METHOD -- 6.4 VARIANTS OF EULER'S METHOD -- 6.5 SINGLE STEP METHODS -- RUNGE-KUTTA -- 6.6 MULTI-STEP METHODS -- 6.7 STABILITY ISSUES -- 6.8 APPLICATION TO SYSTEMS OF EQUATIONS -- 6.9 ADAPTIVE SOLVERS -- 6.10 BOUNDARY VALUE PROBLEMS -- CHAPTER 7: NUMERICAL METHODS FOR THE SOLUTION OF SYSTEMS OF EQUATIONS -- 7.1 LINEAR ALGEBRA REVIEW -- 7.2 LINEAR SYSTEMS AND GAUSSIAN ELIMINATION -- 7.3 OPERATION COUNTS -- 7.4 THE LU FACTORIZATION -- 7.5 PERTURBATION, CONDITIONING AND STABILITY
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|b Ebook Central Academic Complete
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|a Electronic books.
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|i has work:
|a Solutions Manual to accompany An Introduction to Numerical Methods and Analysis (Text)
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