Numerical AnalysisFrancis Scheidincluding 775 solved problems 1. What is numerical analysis? 2. The collocation polynomial 3. Finite differences 4. Factorial polynomials 5. Summation 6. The Newton formula 7. Operators and collocation polynomials 8. Unequally spaced arguments 9. Splines 10. Osculating polynomials 11. The Taylor polynomial 12. Interpolation 13. Numerical differentiation 14. Numerical integration 15. Gaussian integration 16. Singular integrals 17. Sums and series 18. Difference equ...

Differential EquationsFrank Ayresincluding 560 solved problems 1. Origin of Differential Equations 2. Solutions of Differential Equations 3. Equations of First Order and First Degree 4. Equations of First Order and First Degree - Variables Separable and Reduction to Variables Separable 5. Equations of First Order and First Degree - Exact Equations and Reduction to Exact Equations 6. Equations of First Order and First Degree - Linear Equations and Those Reducible to That Form 7. Geometric Applica...

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...

Calculus - Early Transcendentals James Stewart1. Functions and Models 2. Limits and Derivatives 3. Differentiation Rules 4. Applications of Differentiation 5. Integrals 6. Applications of Integration 7. Techniques of Integration 8. Further Applications of Integration 9. Differential Equations 10. Parametric Equations and Polar Coordinates 11. Infinite Sequences and Series 12. Vectors and the Geometry of Space 13. Vector Functions 14. Partial Derivatives 15. Multiple Integrals 16. Vector Calculus...

Linear Algebra an Interactive Laboratory Approach with MathematicaJohn R. Wicks1. Introductory Material 2. Linear Systems and Gaussian Elimination 3. Matrix Algebra 4. Systems fron Two Advanced Viewpoints 5. Abstract Vector Spaces and Bases 6. Inner Product Spaces 7. Change of Basis and Eigensystems