J. A. Green (1) (1926–)

Indeholder "Preface", "1. Sequences", " 1. Infinite sequences", " 2. Successive approximations", " 3. Graphical representation of a sequence", " 4. The limit of a sequence", " 5. Other types of sequence", " 6. Rules for calculating limits", " 7. Some dangerous expressions", " 8. Subsequences", " 9. Monotone sequences and bounded sequences", " 10. The functions x^n, n^s and n^s * x^n", " 11. Solution of equations by iteration", " Exercises", "2. Infinite series", " 1. Finite series", " 2. show more Infinite series", " 3. Convergent and divergent series", " 4. Some examples of infinite series", " 5. Some rules for convergent series", " 6. A test for divergence", " 7. The comparison test", " 8. The ratio test", " 9. The integral test", " 10. Series with positive and negative terms. Leibniz's test", " 11. Absolute convergence", " 12. Power series", " 13. Multiplication of series", " 14. Notes on the use of the convergence tests", " Exercises", "3. Further techniques and results", " 1. Numerical calculation of the sum of a series", " 2. Estimating the remainder of a power series", " 3. Integration of power series", " 4. Differentiation of power series", " 5. Cauchy's convergence principle", " 6. Dirichlet's convergence test", " Exercises", "Answers to exercises", "Index".

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