Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Universitext) 2nd Edition by Guerino Mazzola (PDF)

Description

Contains all the mathematics that computer scientists need to know in one place.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐As the title of this book suggests, it covers a broad range of topics in mathematics; it is intended for use as an introductory textbook for computer science undergraduates. The topics covered include sets, numbers, graphs, logic, grammars, automata, algebra, and geometry. Many of those topics can be found in books on discrete mathematics and linear algebra.This book is part of a larger e-learning project, which also includes a companion Web site […] The Web site contains slides, errata, and modular courses, as well as other information about the e-learning project. Although the book contains a broad range of topics in 26 chapters, it is relatively compact compared to other mathematics textbooks designed for computer science students.The book has the following shortcomings. First, many important concepts are not clearly explained. Most of the definitions and theorems are listed without detailed explanations. Second, many figures in the book are not referred to in the text; they just appear close to some definitions, theorems, or examples. Third, the book does not contain enough examples for students to practice after definitions and theorems are stated, nor does it contain a collection of exercises at the end of each chapter. Teachers who use this as a textbook may need to find other complementary materials or come up with their own exercises in order for students to practice the techniques described in the book. Generally speaking, this book looks like a collection of handouts since it lacks detailed information throughout.The book is also weak in terms of the depth of its coverage. For example, it discusses graph theory, but does not mention the graph coloring problem or the shortest path problem. It covers trees, but does not include Huffman trees or sorting. Many of topics covered have a close relationship to data structures and algorithms, but the book does not discuss them clearly.In my opinion, the book is not suitable for use as an introductory textbook for computer science undergraduates. It may be suitable for people who are already familiar with the subject and need a reference to quickly check definitions and theorems.

⭐As an experimebt, I taught from this book at the Air Force Institute of Technology for a graduate level second discrete mathematics course.I found the book’s approach remarkably effective for conveying the critical idea that math and logic are “merely” symbol manipulation and simultaneously that math is a vast structure built from core axioms.Of all the courses I’ve taught this was the one that I have gotten the most long-term student thanks for … Including one a decade later.Teaching from this book is work … but it will change your students’ view of math completely.Note, I used the first edition and found many typos. The author’s worked closely with me thru the teaching process.

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Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Universitext) 2nd Edition PDF Free Download
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