The rules of mathematical logic specify methods of reasoning mathematical statements. This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. There are 9 kinds of pizzas, and 6 kinds of pastas. Discrete math might be the first proof based course you have ever taken. Mathematical induction is a special way of proving things. The text covers the mathematical concepts that students will encounter in many disciplines such as computer science, engineering, business, and the sciences. Cheat sheetstudy sheet for a discrete math class that covers sequences, recursive formulas, summation, logic, sets, power sets, functions, combinatorics, arrays and matrices.
Discrete mathematics propositional logic tutorialspoint. Walliss book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline. It is increasingly being applied in the practical fields of mathematics and computer science. If you can reproduce the proofs from first principles, you will be where you need to be in this course. Logical reasoning provides the theoretical base for many areas of mathematics and consequently computer science. Ideally, i would like a discrete mathematics for dummies type of resource that doesnt require strong math skills and thats very pedagogical. This book would not exist if not for discrete and combinatorial math ematics by richard grassl and tabitha mingus. Computer science programs often feature this course in the first or.
Discrete mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic. A beginners guide to discrete mathematics springerlink. Discrete mathematics, or finite mathematics, involves breaking up sets of elements into separate or discontinuous parts. It is a very good tool for improving reasoning and problemsolving capabilities. In short, there is not likely to be a discrete mathematics for dummies book, because the way to ace this subject involves taking the time to really understand the proofs that underpin the subject. Greek philosopher, aristotle, was the pioneer of logical reasoning. From a night class at fordham university, nyc, fall, 2008. Show that if any one is true then the next one is true. Is there a discrete mathematics for dummies kind of book. Besides reading the book, students are strongly encouraged to do all the. Topics include propositional logic, discrete mathematics, and linear algebra. Rachels discrete math course introduction to discrete. Learn the core topics of discrete math to open doors to computer science, data science, actuarial science, and more. Use some helpful study tips so youre wellprepared to take a probability exam.
This tutorial explains the fundamental concepts of sets, relations and functions, mathematical logic, group theory, counting theory, probability, mathematical. Rule of sum bruce wants to try a different meal each day. One very common finite random variable is obtained from the binomial distribution. You can download the lecture slides, as well as practice assignments on my class github page. A typical audience for this book will be freshman and sophomore students in the mathematical sciences, in engineering, in physics, and in any. A discrete random variable is finite if its list of possible values has a fixed finite number of elements in it for example, the number of smoking ban supporters in a random sample of 100 voters has to be between 0 and 100. The best discrete mathematics books for beginners, such as graphs, bent functions and discrete mathematics. Successfully working your way through probability problems means understanding some basic rules of probability along with discrete and continuous probability distributions. How long does it take for him to try each meal once. This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. Discrete math cheat sheetstudy sheetstudy guide in pdf.