This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. 398 24

398 0 obj <> endobj Discrete Mathematics and Its Applications Seventh Edition Kenneth Rosen.pdf. 0000088163 00000 n Discrete Mathematics Book Summary : Note: This is the 3rd edition.

The source files for this book are available on

0000000791 00000 n

0000002882 00000 n between any two points, there are a countable number of points. 0000087932 00000 n Four main topics are covered: counting, sequences, logic, and graph theory.

0000001855 00000 n This is the new 3rd edition of the book. The entire book is available for free as an

times a year, the text is updated with a new "printing" to correct errors. 0000080855 00000 n This should be searchable and easy to navigate usin… 0000001584 00000 n • And much more Helpful Techniques for Solving Discrete Math Problems 1. theory chapter, and improved exposition throughout. <

0000006368 00000 n 0000000016 00000 n For offline use, a free pdf version, suitable for reading on a tablet or computer, is available for download.

The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. %PDF-1.4 %���� The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Along the way, proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. An introductory chapter covering mathematical statements, sets, and functions helps students gain familiarity with the language of mathematics, and two additional topics (generating functions and number theory) are also included. Discrete Mathematics − It involves distinct values; i.e. If you are using the book in a class you are teaching, instructor resources are available by request. 0000006655 00000 n Welcome to Discrete Mathematics. • Probability (again, routinely treated in discrete math classes, but only when we assume that the underlying “probability space” is finite or countably infinite). While the book began as a set of lecture notes, it now contains a number of features that should support its use as a primary textbook:

The text covers the mathematical concepts that students will encounter in many disciplines such as computer science, engineering, Business, and the sciences. The previous version is available at the 0000005863 00000 n Generalize the problem (in the right way!) 0000007315 00000 n The entire book is available for free as an interactive online ebook. 0000005704 00000 n 0000050034 00000 n 0000006235 00000 n 0000003424 00000 n Discrete Mathematics and its Applications, Seventh Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. Some exercises also allow you to enter and check your work, so you can try multiple times without spoiling the answer. Sign In. 0000001141 00000 n If you are interested in using parts of the book combined with another text with a similar but different license (GFDL, for example), please
For example, if we have a finite set of objects, the function can be defined as a list of ordered pairs having these objects, and can be presented as a complete list of those pairs. A few

0) Hints and solutions to examples and exercises are hidden but easily revealed by clicking on their links. Introduce variables (e.g., substituting n for 100 in Ex. This 3rd edition brings many improvements, including nearly 100 new exercises, a new section on trees in the graph If you prefer a physical copy, an inexpensive print version of the text is available on
You might not even know what discrete math is! 0000003150 00000 n xref Discrete Mathematics and Its Applications Seventh Edition Kenneth Rosen.pdf. Previous editions will continue to be available indefinitely. 0000001326 00000 n See the If you need the 2nd edition for a course you are taking, it can be found as a "other format" on amazon, or by searching its isbn: 1534970746 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. 0000006013 00000 n 0000002318 00000 n

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The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. If this is your first time encountering the subject, you will probably find discrete mathematics quite different from other math subjects. 0000007059 00000 n


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