Get rising edge using diode
In short, parasitics.

A parasitic model of a diode unfortunately contains a capacitive component.
The art of electronics was describing what would occur with ideal components. SPICE attempts to model actual components.



A 1n5817 has a total capacitance of 110pF 



If the circuit is simulated with an IDEAL diode (with a 10V pulse with 1ns risetime) the resultant waveform is:



If a capacitor is placed in parallel with the diode:



The waveform that is produced is in line with your simulation