The Harel book is "Algorithmics: The Spirit of Computing", not "The Soul of Computing".
The book was actually originally just called "The Science of Computing" and published in 1987. The second edition in 1992 had the name changed to "Algorithmics: The Spirit of Computing". The third edition in 2004 kept that name and had Yishai Feldman added as coauthor. There was a 2012 reprinting of that which had a new preface written for it that talked about Turing (2012 was his centennial year).
I have the original 1987 edition. Comparing its contents to the third edition's via preview on Amazon, it looks like the first four parts are mostly the same topics.
The chapter on "Algorithms and Intelligence" had moved from the fourth section to a new fifth section and been renamed to "Algorithmics and Intelligence", and a new chapter, "Cryptography and Reliable Interaction" has been added to the fourth section.
Other new chapters, all in the fifth section are "Software Engineering" and "Reactive Systems".
The second edition, according to the preface in the 2012 printing, had little change from the first as far as the chapter content but added exercises and solutions.
From second to third chapter 3 changed from "Programming Languages" to "Programming Languages and Paradigms" and dropped APL and Snobol and added C, C++, and Java. Chapter 10 changed from "Parallelism and Concurrency" to "Parallelism, Concurrency, and Alternative Models" and added quantum computing and molecular computing.