Intended for first- or second-year undergraduates, this introduction to discrete mathematics covers the usual topics of such a course, but applies constructivist principles that promote - indeed, require - active participation by the student. Working with the programming language ISETL, whose syntax is close to that of standard mathematical language, the student constructs the concepts in her or his mind as a result of constructing them on the computer in the syntax of ISETL. This dramatically different approach allows students to attempt to discover concepts in a "Socratic" dialog with the computer. The discussion avoids the formal "definition-theorem" approach and promotes active involvement by the reader by its questioning style. An instructor using this text can expect a lively class whose students develop a deep conceptual understanding rather than simply manipulative skills. Topics covered in this book include: the propositional calculus, operations on sets, basic counting methods, predicate calculus, relations, graphs, functions, and mathematical induction.
For once a book exists on the market that will make you think. I loved every minute of the book and I loved being able to learn things on my own. The concept of the book is to get you to think about the answers for yourself not for the answers to be given to you. I must say that the authors have outdone themselves with this book. If you are the type that loves to learn on your own then go for this book. Even so it is a great book to challenge your mind to.
For free-thinkers!
Published by Thriftbooks.com User , 25 years ago
Want to really use your mind? Want to learn something your own way, so you truly understand it? This book makes you think. It steps out of the dull classroom and into a new way of thinking. No longer is spoon-fed knowledge the only way to go. WARNING: for people who want to take an active role in their education only!
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