1 Table of Contents: “.... The Residue Calculus -- 14. Definite Integrals and the Residue Calculus -- Short Biographies o/Abel, Cauchy...”

2 Table of Contents: “... -- Interpreting Definite Integrals -- Checking the Connection Between Derivatives and Definite Integrals...”

3 Table of Contents: “... Integrals -- 3.6. An Asymptotic Formula -- 3.7. Miscellaneous Applications -- 4. Evaluation of Real Definite...”

4 “... of a quotient or a product of powers of definite integrals. The problems considered in Chap­ ter 1...”

5 Table of Contents: “... -- A.2 Review of Extremum Values of Functions -- A.3 Stationary Values of Definite Integrals -- A.4 A...”

6 Table of Contents: “.... Holomorphic Maps -- 2.4. Isolated Singularities and Residues -- 2.5. Residues and the Computation of Definite...”

7 Table of Contents: “... Monte Carlo Evaluation of Definite Integrals -- Exercises -- 2. Monte Carlo Sampling Techniques -- 2.1...”

8 Table of Contents: “... problems -- 7 Mean value theorem -- Integrals -- 8 Definite integrals -- 9 Fundamental theorem of calculus...”

9 Table of Contents: “... of Definite Integrals Involving Exponentials and Logarithms -- Session 3, Track B -- Logic and Computation...”

10 Table of Contents: “... derivatives / 372 C.3 The Integral -- C.3.1 Properties of indefinite integrals -- C.3.2 Properties of definite...”

11 Table of Contents: “... Evaluation of Definite Integrals Affected by Singularities Near the Interval of Integration -- Application...”

12 Table of Contents: “... -- Differentials -- Indefinite integrals -- Definite integrals -- Fourier transform -- Laplace transform -- Complex...”

13 Table of Contents: “... -- 8.4 Preconditioning -- 8.5 Lanczos Methods -- Exercises -- 9 Definite Integrals -- 9.1 Quadrature...”

14 Table of Contents: “... -- 4.3. Numerical methods for calculating definite integrals --...”

15 Table of Contents: “...VI.2 Evaluation of Definite Integrals -- VII Conformal Mappings -- VII.2 Analytic Automorphisms...”

16 Table of Contents: “... Trig Functions -- Example: ƒ(x)=2 arcsin x-3 -- Exercises -- Problems -- 7 Definite Integrals...”

17 Table of Contents: “... Expansions -- 4.4 The Calculus of Residues -- 4.5 Applications to the Calculation of Definite Integrals...”

18 Table of Contents: “... Series for a Periodic Analytic Function -- Appendix B Calculation of a Definite Integral -- Appendix C...”

19 Table of Contents: “... -- 1.13 Definite integrals and Riemann sums -- 1.14 Linear transformation of one interval onto another...”

20 Table of Contents: “... Polynomials -- 12 Teaching the Definite Integral -- 13 Deriving Simpson’s Rule -- 14 Numerical Integration...”