I am a math major who has taken a few cs courses from the cs department at my university. Up until reading this book cs has always been a bit of a mystery to me. I have heard a million and one time how cs is based on mathematics but aside from understanding the idea of traversing through arrays as you would the indexes of a sequence, I have never really seen the connection between the two subjects. This book does an amazing job of demonstrating the mathematical basis of cs. From the very beginning when the authors deconstruct the for-loop used in a insert-sort into a variation on mathematical induction the lines between the two subjects are made crystal clear.
I would agree that a pretty solid understanding of mathematics is required for this book, and I can see why someone coming from a typical undergraduate education in cs would find it difficult and intimidating to tackle this book. It definitely does not teach you how to program or the basics of object oriented design as it proceeds to teach you about structure and design of algorithms. I can also understand why someone hoping to simply get a job as a "programmer" or "software engineer" would not necessarily be well served by this book. The authors are very upfront on this note though, and specifically warn prospective students that they are not going to teach them how to "code" solutions to common cs problems. What they are going to teach them is the fundamentals of algorithm analysis and design. How valuable prospective students find this approach is going to depend entirely on what exactly they hope to do with their understanding of computer science. If you want to learn how to code and be paid to be a developer (not a bad line of work by any stretch of the imagination) you might want to look else where.
For someone coming from a mathematics background though (whether it's an applied field such as statistics or numerical analysis or a pure field like abstract algebra or analysis) this is an excellent introduction to the field of computer science. If you are coming from a math background the analysis and structure of algorithms as presented in this book will instantly click. For me personally I loved the fact that the underlining mathematical basis of cs did not get lost in details of coding or working within certain developmental environments like Eclipse. Again, probably not an ideal choice for someone looking to learn this particular subjects, but definitely a good choice for math majors (or prospective cs grad students).
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