Book:G. Stephenson/Mathematical Methods for Science Students/Second Edition

Contents

 * Preface to the First Edition (1960)
 * Preface to the Second Edition (1973)
 * 1. Real Numbers and Functions of a Real Variable
 * 2. Inequalities
 * 3. Limits, Continuity and Differentiability
 * 4. Indefinite, Definite and Improper Integrals
 * 5. Convergence of Infinite Series
 * 6. Taylor and Maclaurin Series
 * 7. Complex Variable
 * 8. Hyperbolic Functions
 * 9. Partial Differentiation
 * 10. Differentiation and Integration of Integrals
 * 11. Elliptic Integrals
 * 12. Line Integrals and Multiple Integrals
 * 13. Gamma-Function and Related Integrals
 * 14. Numerical Integration
 * 15. Fourier Series
 * 16. Determinants
 * 17. Matrices
 * 18. Groups
 * 19. Vectors
 * 20. Solution of Algebraic and Transcendental Equations
 * 21. Ordinary Differential Equations
 * 22. Series Solution of Ordinary Differential Equations
 * 23. The Laplace Transformation
 * 24. Partial Differential Equations
 * 25. Calculus of Variations
 * 26. Difference Equations
 * 27. Simple Integral Equations


 * Answers to Problems
 * Index



Source work progress
* : Chapter $1$: Real Numbers and Functions of a Real Variable: $1.3$ Functions of a Real Variable