Errata
Heat Conduction using Green's Functions
Hemisphere, 1992

Chapter I

Page	Error	Correction
xvi	$\alpha$...W/m2	$\alpha$...m2/s
xxvi, Eq. (I.32)	qi = + $\sum$...	qi = - $\sum$...
xxvii, Eq. (I.34)	$\nabla$ . (k$\nabla$T)	- k$\nabla$T
xxvii, Eq. (I.35)	- k$\nabla^{2}_{}$T	- $\nabla$ . (k$\nabla$T)

Chapter 1

Page	Error	Correction
1, 2nd line	(1773-1841)	(1793-1841)
9, Eq. (1.13)	${\frac{T_1}{2}}$	- ${\frac{T_1}{2}}$
15, ex. 1.4	$${\frac{1}{\alpha}}$$$${\frac{\partial^2T}{\partial x^2}}$$	$$\alpha$$$${\frac{\partial^2T}{\partial x^2}}$$
17, ex. 1.5 (same error in two places)	$${\frac{1}{\alpha}}$$$${\frac{\partial^2T}{\partial x^2}}$$	$$\alpha$$$${\frac{\partial^2T}{\partial x^2}}$$
19, 5th line from bottom	= G(x', - t| x, - $\tau$)	= G(x', - $\tau$| x, - t)
22, Prob. 1.7	T = x2 + T0	T = T1(x/L)2 + T0

Chapter 2

Page	Error	Correction
25, Eq. (2.4)	fi(ri, t)	$f_i(\mbox{\bf r}_i, t)$
25, Eq. (2.8)	$\left.\vphantom{ h_i T }\right.$hiT$\left.\vphantom{ h_i T }\right\vert$	$\left.\vphantom{ h_i T }\right.$hiT$\left.\vphantom{ h_i T }\right\vert _{r_i}^{}$
28, Table 2.2, fifth line	f (t) = Ctp	f (t) = Ctp, p > 1
30, Fig. 2.4 (d),	T	T = t
far right boundary
32, Fig 2.6 caption	X33 ... B0x5	X33 ... B0y5
37, Prob. 2.10b	- $\partial$C/$\partial$x	$\partial$C/$\partial$x

Chapter 3

Page	Error	Correction
40, Eq. (3.4c)	G(x, t = 0| x$\prime$,$\tau$) = 0	G(x, t| x$\prime$,$\tau$) = 0
42, Eq. (3.12),(3.13)	$\partial$ni	$\partial$n$\prime$i
and (3.15) (3 places)
42, above Eq. (3.15)	T = fi(t)	T = fi($\tau$)
43, Eq. (3.16) third line	xi	x$\prime$i
43, Eq. (3.18)	- k${\frac{\partial T}{\partial x}}$	+ k${\frac{\partial T}{\partial x}}$
44, Fig. 3.1	- k${\frac{\partial T}{\partial x}}$	+ k${\frac{\partial T}{\partial x}}$
45, Fig. 3.2	= h(T|x = 0 - T$\infty$)	= h(T$\infty$ - T|x = 0)
49, 2nd line	left side ...	right side ...
50, Eq. (3.40)	T$${\frac{\partial G}{\partial n_i}}$$	T$${\frac{\partial G}{\partial n^{\prime}_i}}$$
51, above Eq. (3.46b)	... term is	... term is (with ki $\rightarrow$ k)
51, Eq. (3.46b)	replace ki	k
56, Eq. (3.60)	hiT*	$\left.\vphantom{ h_i T^* }\right.$hiT*$\left.\vphantom{ h_i T^* }\right\vert _{r_i}^{}$
57, Eq. (3.65)	ki${\frac{\partial T^{\prime}}{\partial n_i}}$ + hiT$\prime$ = ($\rho$cb)i${\frac{\partial T^{\prime}}{\partial t}}$	ki$\left.\vphantom{ \frac{\partial T^{\prime}}{\partial n_i} }\right.$${\frac{\partial T^{\prime}}{\partial n_i}}$ $\left.\vphantom{ \frac{\partial T^{\prime}}{\partial n_i} }\right\vert _{r_i}^{}$ + $\left.\vphantom{ h_i T^{\prime} }\right.$hiT$\prime$$\left.\vphantom{ h_i T^{\prime} }\right\vert _{r_i}^{}$
		= ($\rho$cb)i$\left.\vphantom{ \frac{\partial T^{\prime}}{\partial t}}\right.$${\frac{\partial T^{\prime}}{\partial t}}$ $\left.\vphantom{ \frac{\partial T^{\prime}}{\partial t}}\right\vert _{r_i}^{}$
58, 4th line	T'(L, t) = (Tl...	T'(L, t) = (TL...
58, Eq. (3.67a)	(TL-T0)$${\frac{2 \pi a}{\omega L^2}}$$	(TL-T0)$${\frac{2 \pi \alpha}{\omega L^2}}$$
59, 4th line from bottom	m2$\pi^{2}_{}$$\alpha$(...	m2$\pi^{2}_{}$$\alpha$/(...
62, Eq. (3.80)	W(r, t)	$\left.\vphantom{ W(r,t) }\right.$W(r, t)$\left.\vphantom{ W(r,t) }\right\vert _{r_i}^{}$
62, Eq. (3.81)	2w  dx	2wh  dx
63, below Eq. (3.84)	For the problem at hand	The initial and boundary
	the boundary
63, below Eq. (3.84)	$\theta$(x, 0) = T0 - T$\infty$	$\theta$(x, 0) = 0
	$\theta$(0, t) = 0	$\theta$(0, t) = T0 - T$\infty$
63, Eq. (3.85)	W(x, 0) = (T0 - T$\infty$)em2$\alpha$t	W(x, 0) = 0
	W(0, t) = 0	W(0, t) = (T0 - T$\infty$)em2$\alpha$t
64, Eq. (3.87)	${\frac{2 \pi}{L}}$	${\frac{2 \pi}{L^2}}$
64, below Eq. (3.87)	${\frac{2 \pi}{L}}$	2$\pi$
and Eq. (3.88)
64, below Eq. (3.87)	(m2 + n2$\pi^{2}_{}$)-1	(m2L2 + n2$\pi^{2}_{}$)-1
and Eq. (3.88)
66, Eq. (3.94), last line	fj(rj)	fj(r$\prime$j)
67, below Eq. (3.99)	d (sinh  z)dz	d (sinh  z)/dz
69, Eq. (3.108a)	= Tx$\infty$1(x, y, t)...	= hx1Tx$\infty$1(x, y, t)...
70, Eq. (3.113)	Lx, two places	L
70, Eq. (3.113)	(V2t)/(2$\alpha$)	(V2t)/(4$\alpha$)
70, Eq. (3.114)	(V2t)/(2$\alpha$)	(V2t)/(4$\alpha$)
71, Eq. (3.122)	Tx2(y', z',$\tau$)eV2$\tau$/(4$\alpha$)	Tx2(y', z',$\tau$)e-VL/(2$\alpha$) + V2$\tau$/(4$\alpha$)
71, Eq. (3.123)	Tx2($\tau$)eVL/(4$\alpha$) + V2$\tau$/(4$\alpha$)	Tx2($\tau$)eVL/(2$\alpha$) + V2$\tau$/(4$\alpha$)
74, Reference	... Conduction	... Conduction,
		Ill-Posed Problems
75, Prob. 3.17a	y' = y(ky/kx)1/2	y' = y(kx/ky)1/2
75, Prob. 3.17a	b' = b(ky/kx)1/2	b' = b(kx/ky)1/2
76, 3rd line from bottom	$${\frac{\partial T}{\partial t}}$$	$${\frac{\partial W}{\partial t}}$$
77, 1st paragraph, 10th line	``but the equations	"but the integrations
	can be performed''	can be performed''

Chapter 4

Page	Error	Correction
81 and 82, Fig. 4.2 and 4.3	0.0000 - | - 0.0000 - | - 0.0000 - | -	10-5 - | - 10-6 - | - 10-7 - | -
82, 2nd line	L[f (t)]	$\mathcal {L}$[f (t)]
below Eq. 4.3
84, Eq. (4.12b)	s$\overline{T}$(x, s) - sT(x, 0)	s$\overline{T}$(x, s) - T(x, 0)
85, below Eq. (4.17)	``given by Eq. (6.16)''	``given by Eq. (1.39)''
86, Eq. (4.19b)	= 0	is finite
87, Eq. (4.28b)	= 0	is finite
88, Eq. (4.33)	$${\frac{\partial r G}{\partial t}}$$	$${\frac{\partial G}{\partial t}}$$
91, line 23 and 24	... one insulated boundary (X21)	... two insulated boundaries (X22)
94, Eq. (4.70), right side	0    m = n	0    m $\neq$ n
97, below Eq. (4.86)	``with C = 0 . . .''	``with B = 0 . . . ''
97, Eq. (4.87),	e- $\beta_{m}$$\alpha$t/L2n	e- $\beta^{2}_{n}$$\alpha$t/L2
98, Eqs. (4.92) and (4.93)	e- $\beta_{m}$$\alpha$t/L2n	e- $\beta^{2}_{n}$$\alpha$t/L2
98, Eq. (4.95a)	e- $\beta_{n}$$\alpha$...	e- $\beta^{2}_{n}$$\alpha$...
98, 6th line	exp[- $\beta^{2}_{n}$$\alpha$t/L2]	exp[- $\beta^{2}_{n}$$\alpha$(t - $\tau$)/L2]
below Eq. (4.95b)
99, Table 4.2, caption	e - $\beta^{2}_{m}$$\alpha$(t - $\tau$)/L2	exp[- $\beta^{2}_{m}$$\alpha$(t - $\tau$)/L2]
110, Eq. (4.124)	quotient line [--- -]	[----]
	should be one piece
112, Eq. (4.129)	[$${\frac{-x^2+y^2+z^2}{4 \alpha (t- \tau )}}$$]	[- $${\frac{(x^2+y^2+z^2)}{4\alpha (t- \tau )}}$$]
114, below Eq. (4.133)	du = t - $\tau$	u = t - $\tau$

Chapter 5

Page	Error	Correction
126, Table 5.3, Eq. 1., 2nd line	$\left\{\vphantom{ erfc \left[ \frac{z}{(4 \alpha t)^{1/2}} \right] }\right.$erfc$\left[\vphantom{ \frac{z}{(4 \alpha t)^{1/2}} }\right.$${\frac{z}{(4 \alpha t)^{1/2}}}$ $\left.\vphantom{ \frac{z}{(4 \alpha t)^{1/2}} }\right]$ $\left.\vphantom{ erfc \left[ \frac{z}{(4 \alpha t)^{1/2}} \right] }\right.$ $\left.\vphantom{ - erfc \left[ \frac{z+L}{(4 \alpha t)^{1/2}} \right] }\right.$ - erfc$\left[\vphantom{ \frac{z+L}{(4 \alpha t)^{1/2}} }\right.$${\frac{z+L}{(4 \alpha t)^{1/2}}}$ $\left.\vphantom{ \frac{z+L}{(4 \alpha t)^{1/2}} }\right]$ $\left.\vphantom{ - erfc \left[ \frac{z+L}{(4 \alpha t)^{1/2}} \right] }\right\}$ +2${\frac{\alpha t }{L}}$[2K...	$\left\{\vphantom{ erfc \left[ \frac{z+L}{(4 \alpha t)^{1/2}} \right] }\right.$erfc$\left[\vphantom{ \frac{z+L}{(4 \alpha t)^{1/2}} }\right.$${\frac{z+L}{(4 \alpha t)^{1/2}}}$ $\left.\vphantom{ \frac{z+L}{(4 \alpha t)^{1/2}} }\right]$ $\left.\vphantom{ erfc \left[ \frac{z+L}{(4 \alpha t)^{1/2}} \right] }\right.$ $\left.\vphantom{ - erfc \left[ \frac{z}{(4 \alpha t)^{1/2}} \right] }\right.$ - erfc$\left[\vphantom{ \frac{z}{(4 \alpha t)^{1/2}} }\right.$${\frac{z}{(4 \alpha t)^{1/2}}}$ $\left.\vphantom{ \frac{z}{(4 \alpha t)^{1/2}} }\right]$ $\left.\vphantom{ - erfc \left[ \frac{z}{(4 \alpha t)^{1/2}} \right] }\right\}$ +2${\frac{\alpha t }{L}}$[K...
129, Eq. (5.21b)	i0erfc(u)	(delete this term)
136, bottom line	]2}du	]}2du
139, prob. 5.1	``Eq. (5.11) with m = 1.''	``Eq. (5.11) with $\beta_{m}^{}$ = m$\pi$.''

Chapter 6

Page	Error	Correction
143, Table 6.1, 2nd line	- ${\frac{1}{L}}${MD1L  ER...}	{MD1  ER...}
143, middle of Table 6.1	S1 = ${\frac{L}{2C_1}}$[...],  C1 < ${\frac{1}{4}}$B1	S1 = ${\frac{1}{2C_1 L}}$[...],  C1 < $${\frac{1}{4 B_1}}$$
143, middle of Table 6.1	S2 = = ${\frac{L}{2C_1}}$[...]	S2 = ${\frac{1}{2C_1 L}}$[...]
146, Table 6.3	case X40B1T00, E1 = 1	case X40B1T00, E1 = 0
147, Table 6.4, column 2	erf[(4z)1/2]	erf[(4z)-1/2]
152, Figure 6.5	Wrong figure.	Correct figure below $\downarrow$
156, Eq. (6.42a), 2nd line	+2 erfc$\left[\vphantom{ \frac{L+x}{(4\alpha t)^{1/2} } }\right.$${\frac{L+x}{(4\alpha t)^{1/2} }}$ $\left.\vphantom{ \frac{L+x}{(4\alpha t)^{1/2} } }\right]$	+ erfc$\left[\vphantom{ \frac{L+x}{(4\alpha t)^{1/2} } }\right.$${\frac{L+x}{(4\alpha t)^{1/2} }}$ $\left.\vphantom{ \frac{L+x}{(4\alpha t)^{1/2} } }\right]$
157, Eq. (6.42b), 1st line	-2 erfc$\left[\vphantom{ \frac{2L-x}{(4\alpha t)^{1/2} } }\right.$${\frac{2L-x}{(4\alpha t)^{1/2} }}$ $\left.\vphantom{ \frac{2L-x}{(4\alpha t)^{1/2} } }\right]$	+2 erfc$\left[\vphantom{ \frac{2L-x}{(4\alpha t)^{1/2} } }\right.$${\frac{2L-x}{(4\alpha t)^{1/2} }}$ $\left.\vphantom{ \frac{2L-x}{(4\alpha t)^{1/2} } }\right]$
157, above Eq. (6.43)	Eqs. (6.42a) and (6.42b)	Eq. (6.42a), Eq. (6.42b)
		and the n = 1 term
158, 2nd line of Eq. (6.44b)	L $\bullet$ x < < L	(L - x) < < L.
160, 3rd line below Eq. (6.54)	in Table 4.2	in Table 4.3
161, 2nd line below Eq. (6.56)	- $\beta_{m}^{}$$\alpha$t/L2	$\beta^{2}_{m}$$\alpha$t/L2
161, 9th line below Eq. (6.56)	- $\beta_{m}^{}$$\alpha$t/L2	$\beta^{2}_{m}$$\alpha$t/L2
161, Eq. (6.57), 3 places	$${\frac{\beta _m \alpha t}{L^2}}$$	$${\frac{\beta^2_m \alpha t}{L^2}}$$
161, Eq. (6.58)	m $\leq$ (  )1/2	m > (  )1/2
161, 2nd line below Eq. (6.58)	m $\leq$ 8	m > 8
166, Eq. (6.78), third line	[$${\textstyle\frac{1}{2}}$$($${\frac{x^{\prime}}{L}}$$)2 - $${\frac{x^{\prime}}{L}}$$]	[$${\textstyle\frac{1}{2}}$$($${\frac{x^{\prime}}{L}}$$)2 - $${\frac{x^{\prime}}{L}}$$ + $${\frac{\alpha t}{L^2}}$$]
166, end of Eq. (6.78)	}	]
178, Eq. (6.115d)	$$\left.\vphantom{ \frac{\partial T}{\partial x} }\right.$$$${\frac{\partial T}{\partial x}}$$ $$\left.\vphantom{ \frac{\partial T}{\partial x} }\right\vert _{y=0}^{}$$ = 0	$$\left.\vphantom{ \frac{\partial T}{\partial y} }\right.$$$${\frac{\partial T}{\partial y}}$$ $$\left.\vphantom{ \frac{\partial T}{\partial y} }\right\vert _{y=0}^{}$$ = 0
178, Eq. (6.116), 2nd line	$\left.\vphantom{ (\;\;) }\right.$(    )$\left.\vphantom{ (\;\;) }\right\vert _{y'=0}^{}$	$\left.\vphantom{ (\;\;) }\right.$(    )$\left.\vphantom{ (\;\;) }\right\vert _{y'=b}^{}$
178, Eq. (6.117)	GX21Y21(x, t| x$\prime$,$\tau$)	GX21Y21(x, y, t| x$\prime$, y$\prime$,$\tau$)
187, Caption to Fig. 6.13	| P| > 1	| p| > 1
189, Caption to Fig. 6.15	O(X, Y)	$\theta$(X, Y)
193, Eq. (6.170), first line	- $$\sum^{\infty}_{m-1}$$$${\frac{2L}{\vert x-x^{\prime}\vert}}$$	+ $$\sum^{\infty}_{m-1}$$$${\frac{1}{\pi(m-\frac{1}2{})}}$$
194, Eq. (6.171)	- ${\frac{q_o}{k}}$	+ ${\frac{q_o}{k}}$
194, Eq. (6.171)	$$\sum^{\infty}_{m-1}$$	$$\sum^{\infty}_{m=1}$$
194, Eq. (6.172), last line only	- exp[- $$\pi$$(m - $${\textstyle\frac{1}{2}}$$)$${\frac{x-9}{L}}$$]	- exp[+ $$\pi$$(m - $${\textstyle\frac{1}{2}}$$)$${\frac{x-a}{L}}$$]
194, Eq. (6.172), 2 places	$${\frac{2q_o L}{k}}$$	$${\frac{q_o L}{k}}$$
194, Eq. (6.172), FOUR places	| x| - 9	| x| - a
	| x| + 9	| x| + a
	x + 9	x + a
	x - 9	x - a
197, 2nd line	hL/x	hL/k

 

Figure: 6.5, page 152. Temperature in a semi-infinite body with surface convection for h($\alpha$t)^1/2/k = 0.1, 0.5, 2.0, $\infty$.

Chapter 7

Page	Error	Correction
204, 3rd line below Eq. (7.8)	``The Eq. (7.5). . . ''	``Then Eq. (7.5). . .''
207, Eq. (7.19)	(missing M definition)	where M is a finite constant.
214, Eq. (7.58)	$${\frac{\partial T(0,t)}{\partial r}}$$=0	T(0, t) is finite
215, Eq. (7.61) and (7.62)	=	$\approx$
216, Eq. (7.66) and (7.67)	$${\frac{1}{\beta_n J_n(\beta_n)}}$$	$${\frac{1}{\beta^3_n J_n(\beta_n)}}$$
224, Prob. 7.8, 2nd exp term	exp$$\left[\vphantom{ -\frac{(r-r')^2}{4 \alpha (t-\tau )} }\right.$$ - $${\frac{(r-r')^2}{4 \alpha (t-\tau )}}$$ $$\left.\vphantom{ -\frac{(r-r')^2}{4 \alpha (t-\tau )} }\right]$$	exp$$\left[\vphantom{ -\frac{(r+r')^2}{4 \alpha (t-\tau )} }\right.$$ - $${\frac{(r+r')^2}{4 \alpha (t-\tau )}}$$ $$\left.\vphantom{ -\frac{(r+r')^2}{4 \alpha (t-\tau )} }\right]$$

Chapter 8

Page	Error	Correction
230, in Fig. 8.4 and 8.5	$\partial$	$\delta$
233, below Eq. (8.13d)	R01B1T0 Z11B11	R01B1 Z11B11 T1
233, Fig 8.6	T = T0, three places	T = T1, three places
233, Fig 8.6 Caption	R01B1T0 Z11B11	R01B1 Z11B11 T1
235, above Eq. (8.35)	r $\approx$ 1	r $\approx$ a
239, Eq. (8.36)	2$${\frac{\alpha t}{a^2}}$$	2$$\left(\vphantom{ \frac{\alpha t}{a^2} }\right.$$$${\frac{\alpha t}{a^2}}$$ $$\left.\vphantom{ \frac{\alpha t}{a^2} }\right)^{1/2}_{}$$
240, Eq. (8.39)	$${\frac{1}{2\sqrt{\pi} t^+}}$$	$${\frac{1}{2\sqrt{\pi t^+}}}$$
243, Fig. 8.10, on the bottom axis	`` 104  103  .01''	`` 10-4  10-3  10-2''
248, Eq. (8.64)	$${\frac{1}{B_2}}$$	$${\frac{1}{2B_2}}$$

Chapter 9

Page	Error	Correction
253, Eq. (9.2)	(r2$${\frac{\partial T}{\partial t}}$$)	(r2$${\frac{\partial T}{\partial r}}$$)
258, Fig. 9.2, 2 labels	dV = r2sin$\theta$ d$\theta$ dr	dV = r2sin$\theta$ d$\theta$ dr d$\phi$
	rsin$\theta$ d$\theta$	rsin$\theta$ d$\phi$
273, 5th line on page	Table 2.8	Table 5.8
283, Eq. (9.118), 2nd line	(b - r)(b - a)	(b - r)/(b - a)
284, Eq. (9.121)	2$\pi$$\alpha$a	2$\pi$$\alpha$aT$\infty$
287, 3rd line on page	``large-time form of GRS10''	``Green's function''

Chapter 10

Page	Error	Correction
310, Eq. (10.68)	$${\frac{\partial t}{\partial n}}$$	$${\frac{\partial T}{\partial n}}$$
328, last line	Setting $\beta_{2}^{}$ = h2/k2	Setting B2 = h2/k

Appendix B

Page	Error	Correction
410, Eq. (B.20c)	= Wv(z)	W'v(z)

Appendix E

Page	Error	Correction
414, 1st line	One way to expand erf (x) is ...	Two ways to expand erf (x) are

Appendix F

Page	Error	Correction
423, add to last line on page		(continued next page)
424, Eq. 10	(Barber)	(erase this citation)
426, Table F.5, No. 1, 2nd line	e-4aberfc(a$\sqrt{x}$ - b/$\sqrt{x}$)	e-4aberfc(a$\sqrt{x}$ - b/$\sqrt{x}$))
427, Table F.6, No. 1	erfc(...)	erf (...)
427, Table F.6, No. 6, 2nd line	-2a$\sqrt{\pi}$(1 + ...)	= - 2a$\sqrt{\pi}$(1 + ...)

Appendix R

Page	Error	Correction
431, above Eq. (R00.1a)	(missing heading)	R00 Infinite Body
436, below table	or u > 0.55	for u > 0.55
437, heading below 2nd para.	E. 4	R.4
440, Eq. (R02.9)	$$\left(\vphantom{ \frac{a}{b} }\right.$$$${\frac{a}{b}}$$ $$\left.\vphantom{ \frac{a}{b} }\right)^{2}_{}$$ + $${\frac{a}{b}}$$$$\sum$$	$$\left(\vphantom{ \frac{a}{b} }\right.$$$${\frac{a}{b}}$$ $$\left.\vphantom{ \frac{a}{b} }\right)^{2}_{}$$ + $${\frac{2a}{b}}$$$$\sum$$
441, Eq. (R10.1)	e- $\beta^{2}$(t - $\tau$)/a2	e- $\alpha$$\beta^{2}$(t - $\tau$)/a2
443, 1st line	kGT/$\partial$r	k$\partial$G/$\partial$r
444, 3rd line	GR20(a, t| a,$\tau$) :	GR20(a, t| a,$\tau$) are given below.
444, Eq. (R20.6)	$\int_{0}^{\infty}$	$\int_{a}^{\infty}$
445, 1st line	Exact 2$\pi$GR20(...)	Exact 2$\pi$a2GR20(...)

Appendix R$\Phi$

Page	Error	Correction
454, Eq. (R02$\Phi$12.1)	$\;\stackrel{[}{\textstyle m}\;$	[
457, 5th line below R23$\Phi$00	- {1 - [nb/($\beta_{mn}^{}$g)]2}V2mn	- {1 - [nb/($\beta_{mn}^{}$a)]2}V2mn
458	(add at bottom of page)	where Rv, N($\beta_{mn}^{}$), $\beta_{mn}^{}$,
		N($\upsilon$), and $\Phi$ are given
		in tables R$\Phi$.1-R$\Phi$.4

Appendix RS

Page	Error	Correction
464, Table RS.1	replace RS30 case with:	$${\frac{1}{r'}}$$ - $${\frac{B_1a}{(1+B_1)rr'}}$$;  r < r'
		$${\frac{1}{r}}$$ - $${\frac{B_1a}{(1+B_1)r'r}}$$;  r > r'
465, Eq. (RS02.3), 4th line	2b - r - r	2b - r - r'
465, RS03	+ h2G = 0  r = b	+ h2G = 0 at r = b
466, center of page	RS11 ...T = 0	RS11 ...G = 0...
466, Eq. (RS11.1), 2nd line	2n(b - a) + r - r')2	(2n(b - a) + r - r')2
468, Eq. (RS12.5), 3rd line	(2b - r - r)	(2b - r - r')
469, Eq. (RS22.1), 3rd line	cos[$\beta$(r' - a)/(b - a)]	cos[$\beta_{m}^{}$(r' - a)/(b - a)]
470, above Eq. (RS23.1)	G(r, t|$\theta{^\prime}$,$\tau$)	G(r, t| r',$\tau$)
471, Eq. (RS33.1b)	B1=$${\frac{h_1 a}{k}}$$+1	B1=$$\left(\vphantom{ \frac{h_1 a}{k}+ 1 }\right.$$$${\frac{h_1 a}{k}}$$ + 1$$\left.\vphantom{ \frac{h_1 a}{k}+ 1 }\right)$$$${\frac{b}{a}}$$
472, above references	Table R0.1	Table R0$\Phi$.1, p. 459
	Table R0.2	Table R0$\Phi$.2, p. 459
	Table R0.3	Table R0$\Phi$.3, p. 460

Appendix X

Page	Error	Correction
482, Eq. (X11.5)	...]  t - $\tau$ > 0	...],    t - $\tau$ > 0
483, Eq. (X11.13)	...L2  t - $\tau$ > 0	...L2,    t - $\tau$ > 0
485, Eq, (X12.3)	GX12(L, t, L,$\tau$) =	GX12(L, t| L,$\tau$) $\approx$
486, Eq. X13 Plate	k$\partial$G/$\partial$x + hT = 0	k$\partial$G/$\partial$x + hG = 0
486, Eq. (X13.1), 3rd line	(2L - x - ')2	(2L - x - x')2
487, Eq. (X14.1)	GX14(x, t| x',$\tau$) =	GX14(x, t| x',$\tau$) $\approx$
493, Fig. X20.1 caption	0.5 and 1.0	0.1, 0.25, 1.0, and 10.
497, 1st equation, unnumbered	(no number)	(X23.7)
501, Eq. (X30.11)	= exp[...]	= 1 + exp[...]
502, Eq. (X31.6)	$$\sum_{m=0}^{\infty}$$	$$\sum_{m=1}^{\infty}$$
503, Eq. (X33.2)	+ B1sin($\beta_{m}^{}$x/l )	+ B1sin($\beta_{m}^{}$x/L)
503, above Eq. (X33.4)	relations	relation
504, equation numbers	(X33.5) and (X33.5)	(X33.5a) and (X33.5b)

Author Index

Page	Error	Correction
521	Amos, D., 435, 449	Amos, D., 436, 450