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Asymptotic Methods in AnalysisN.G. de Bruijn1. Introduction 2. Implicit functions 3. Summation 4.The Laplace method for integrals 5. The saddle point method 6. Applications of the saddle point method 7. Indirect asymptotics 8. Iterated functions 9. Differential equations

Mathematical AnalysisTom M. Apostol1. The Real and Complex Number Systems 2. Some Basic Notions of Set Theory 3. Elements of Point Set Topology 4. Limits and Continuity 5. Derivatives 6. Functions of Bounded Variation and Rectifiable Curves 7. The Riemann-Stieltjes Integral 8. Infinite Series and Infinite Products 9. Sequences of Functions 10. The Lebesgue Integral 11. Fourier Series and Fourier Integrals 12. Multivariable Differential Calculus 13. Implicit Functions and Extremum Problems 14. Mu...

Handbook of Mathematical FunctionsMilton Abramowitz, Irene A. Stegun 1. Mathematical Constants 2. Physical Constants and Conversion Factors 3. Elementary Analytical Methods 4. Elementary Transcendental Functions 5. Exponential Integral and Related Functions 6. Gamma Functions and Related Functions 7. Error Function and Fresnel Integrals 8. Legendre Functions 9. Bessel Functions of Integer Order 10. Bessel Functions of Fractional Order 11. Integrals of Bessel Functions 12. Struve Functions and R...

Lebesgue Integration and MeasureAlan J. Weir1. The Completeness of the Reals 2. Null Sets 3. The Lebesgue Integral on R 4. The Lebesgue Integral on Rk 5. The Convergence Theorems 6. Measurable Functions and Lebesgue Measure 7. The Spaces Lp

Calculus of Several VariablesRobert T. SeeleyI. Vectors II. Curves in Rn III. Differentiation of Functions of Two Variables IV. Double Integrals, Vector Fields, and Line Integrals V. Functions of n Variables

Pure Mathematics at Advanced LevelL.H. ClarkeAnalysis Vectors and Complex Numbers Coordinate Geometry

Fourier Series and Boundary Value ProblemsV.E. Williams1. Fourier Series 2. Solution of Boundary-Value Problems by Means of Fourier Series 3. Fourier Integrals 4. Generalized Series Expansions 5. Solution of Boundary-Value Problems by Means of Generalized Fourier Expansions

Vector FieldsL. Marder1. Scalar and Vector Fields 2. Integration of Scalar and Vector Fields 3. The Operator Nabla. Formulae and Identities 4. Integral Theorems 5. Orthogonal Curvilinear Coordinates 6. Cartesian Tensors

An Introduction to Vector AnalysisB. Hague1. Definitions. Addition of Vectors 2. Products of Vectors 3. The Differentiation of Vectors 4. The Differential Operator and Its Uses 5. Integral Theorems 6. The Scalar Potential Field 7. The Vector Potential Field 8. The Electromagnetic Field. Equations of Maxwell

Computational MathematicsN.V. Kopchenova, I.A. Maron1. Approximate Computations and Error Estimation in Performing Computations 2. Computing the Values of Functions 3. Numerical Solution of Systems of Linear Algebraic Equations 4. Numerical Solution of Systems of Nonlinear Equations 5. The Interpolation of Functions 6. Numerical Differentiation 7. Approximate Computation of Integrals 8. Approximate Solution of Ordinary Differential Equations 9. Boundary Value Problems for Ordinary Differential E...

Einführung in die Numerische Mathematik I+IIJ. Stoer, R. Bulirschunter Berücksichtigung von Vorlesungen von F.L. Bauer 1. Fehleranalyse 2. Interpolation 3. Integration von Funktionen 4. Lineare Gleichungssysteme 5. Nullstellenbestimmung durch Iterationsverfahren --------- 6. Eigenwertprobleme 7. Gewöhnliche Differentialgleichungen 8. Iterationsverfahren zur Lösung linearer Gleichungssysteme

A Course in Numerical AnalysisH. Melvin Lieberstein1. Approximate Solution of One Non-Linear Algebraic Equation by Iteration 2. Discretizations of the Dirichlet Problem for the Laplace Equation 3. Methods for Solving Linear Systems 4. General Theory of Convergence for Linear Iterative Methods for Linear Systems 5. Use of Methods of Chapter 4 on the Dirichlet and Other Problems 6. Iterative Methods for Non Linear Algebraic Systems 7. Initial Value Problems for Ordinary Differential Equations 8. M...

Numerical MethodsGermund Dahlquist, Åke Björck1. Some General Principles of Numerical Calculation 2. How to Obtain and Estimate Accuracy in Numerical Calculation 3. Numerical Uses of Series 4. Approximation of Functions 5. Numerical Linear Algebra 6. Nonlinear Equations 7. Finite Differences with Applications to Numerical Integration, Differentiation, and Interpolation 8. Differential Equations 9. Fourier Methods 10. Optimization 11. The Monte Carlo Method and Simulation 12. Solutions to Probl...

Introduction to Matrix ComputationsG.W. Stewart1. Preliminaries 2. Practicalities 3. The Direct Solution of Linear Systems 4. Norms, Limits, and Condition Numbers 5. The Linear Least Squares Problem 6. Eigenvalues and Eigenvectors 7. The QR Algorithm

The Algebraic Eigenvalue ProblemJ.H. Wilkinson1. Theoretical Background 2. Pertubation Theory 3. Error Analysis 4. Solution of Linear Algebraic Equations 5. Hermitian Matrices 6. Reduction of a General Matrix to Condensed Form 7. Eigenvalues of Matrices of Condensed Forms 8. The LR and QR Algorithms 9. Iterative Methods

Computational Methods in Ordinary Differential EquationsJ.D. Lambert1. Preliminaries 2. Linear multistep methods I: basic theory 3. Linear multistep methods II: application 4. Runge-Kutta methods 5. Hybrid methods 6. Extrapolation methods 7. Methods for special problems 8. First-order systems and the problem of stiffness 9. Linear multistep methods for a special class of second-order differential equations

The numerical solution of Volterra equationsH. Brunner, P.J. van der Houwen1. An introduction to the theory of Volterra equations 2. Numerical quadrature 3. Linear methods for Volterra equations 4. Runge-Kutta-type methods for Volterra equations 5. Collocation methods for Volterra equations with regular kernels 6. Volterra equations with weakly singular kernels 7. Numerical stability 8. Software and test examples

Scientific Computation on Mathematical Problems and ConjecturesRichard S. Varga1. The Bernstein Conjecture in Approximation Theory 2. The "1/9" Conjecture and Its Recent Solution 3. Theoretical and Computational Aspects of the Riemann Hypothesis 4. Asymtotics for the Zeros of the Partial Sums of exp(z) 5. Real vs. Complex Best Rational Approximation 6. Generalizations of Jensen's Inequality for Polynomials Having Concentration at Low Degrees

Operationele researchProf. Dr. Y.M.I. Dirickx, Drs. S.M. Baas, Drs. B. Dorhout1. Inleiding 2. Lineaire Programmering 3. Netwerkproblemen 4. Discrete Programmering 5. Niet-lineaire Optimalisatie