1. Chapter 11
Fourier Series

3. FIGURE 11.2.1 Piecewise-continuous function f in Example 1

4. FIGURE 11.2.2 Piecewise-continuous derivative f’ in Example 2

5. FIGURE 11.2.3 Periodic extension of function f shown in Figure 11.2.1

6. FIGURE 11.2.4 Partial sums of Fourier series (13) in Example 1

7. FIGURE 11.3.1 Even function; graph symmetric with respect to y-axis

8. FIGURE 11.3.2 Odd function; graph symmetric with respect to origin

9. FIGURE 11.3.3 Odd function in Example 1

10. FIGURE 11.3.4 Periodic extension of function shown in Figure 11.3.3

11. FIGURE 11.3.5 Odd function in Example 2

12. FIGURE 11.3.6 Partial sums of sine series (7)

13. FIGURE 11.3.7 Even reflection

14. FIGURE Odd reflection

15. FIGURE 11.3.9 Identity reflection

16. FIGURE 11.3.10 Function f in Example 3 is neither odd nor even.

17. FIGURE 11.3.11 Same function on (0, L) but different periodic extensions

18. FIGURE 11.3.12 Periodic forcing function for spring/mass system in Example 4

19. FIGURE 11.3.13 Graph for Problem 39

20. FIGURE 11.3.14 Graph for Problem 40

21. FIGURE 11.3.15 Graph for Problem 41

22. FIGURE 11.3.16 Graph for Problem 42

23. FIGURE 11.3.17 Graph for Problem 50

24. FIGURE 11.4.1 Positive roots x1, x2, x3, . . . of tan x = −x in Example 2

25. FIGURE 11.5.1 Graphs of two partial sums of the Fourier-Bessel series in Example 2

26. FIGURE 11.5.2 Partial sum S5(x) of the Fourier-Legendre series in Example 3

27. FIGURE 11.R.1 Graph for Problem 18