Cantor developed the concept of the set during his study of the trigonometric series, which is now known as the limit point or the derived set operator. Pdf discrete mathematics for computer science, some notes. Mathematics for computer science electrical engineering. Properties of integers and basic counting, lecture1. Discrete mathematics solved mcqs computer science solved. The course will be an introduction to discrete mathematics which comprises of the essentials for a computer science student to go ahead. Discrete mathematics lecture15 university of washington. What are the best online resources to learn discrete. Nptel discrete math by k kritivasan is more than enough for gate do not watch all.
Sep 07, 2018 anna university regulation discrete mathematics ma6566 notes have been provided below with syllabus. Liu, elements of discrete mathematics, second edition 1985. Computer science and discrete mathematics csdm theoretical computer science and discrete mathematics. Discrete mathematics video course mathematics nptel. These basic concepts of sets, logic functions and graph theory are applied to boolean algebra and logic networks, while the advanced concepts of functions and. Discrete control systems, as considered her e, refer to the cont rol theory of discr ete time lagrangian or hamiltonian sys tems. A graph drawn in a plane in such a way that if the vertex set of graph can be partitioned into two non empty disjoint subset x and y in such a way that each edge of g has one end in x and one end in y. Discrete mathematics free math online course on nptel by iit kanpur a. Jun 17, 2019 460 videos play all discrete mathematics srs iyengar iit ropar nptel rahul madhavan discrete math 1. Nptel syllabus discrete mathematical structures video course mathematical reasoning. Besides reading the book, students are strongly encouraged to do all the. 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. Cantor developed the concept of the set during his study of the trigonometric series, which is now. Discrete mathematics discrete mathematics study of mathematical structures and objects that are fundamentally discrete rather than continuous.
It is extremely important for an author of mathematics, such as yourself during this course, to estimate this shared knowledge base correctly. This is the mathematics of discrete elements, such as symbols, character strings, truth values, and objectsto use a programming term that are collections of properties. In contrast, continuous mathematics deals with objects that vary continuously, e. The topics that are covered in this course are the most essential ones, those that will touch every math and science. We often have the impression that graph algorithmic problems are either very basic.
The mathematics in these applications is collectively called discrete mathematics. The emphasis will be on problem solving as well as proofs. Discrete mathematics dm, or discrete math is the backbone of mathematics and computer science. In the talk, i will explain the algorithm and its analysis for testing whether a number is a prime, invented by agrawal, kayal, and saxena. Discrete mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic.
Though there is no time to cover them in this course, discrete mathematics is also concerned with techniques to solve certain types of problems such as how to. Mathematics for computer science electrical engineering and. This blog contains engineering notes, computer engineering notes,lecture slides, civil engineering lecture notes, mechanical engineering lectures ppt. Discrete structures lecture notes stanford university. The discrete mathematics course tackles a selection of graph algorithms, which are studied from both the mathematical and computational point of view. Discrete mathematical structures nptel online videos. He developed two types of trans nite numbers, namely, trans nite ordinals and trans nite.
It can help to clarify our thinking about design problems. Computer sc discrete mathematical structures youtube. This is the only website,where you can download the previous year anna university question papers in pdf format with good quality and with out any water marks. And we inherit a wellunderstood vocabulary for specifying and documenting our. Nptel provides elearning through online web and video courses various streams. It includes pdf version of videos, so if you have slow internet speed then you can read pdf content. Nptel discrete mathematics video lecture gate overflow.
Using nptel mathematics app you can read text content pdf of all videos which helps you to save mobile data. Students can go through this notes and can score good marks in their examination. Mathematics video lectures nptel video lectures, course. Combinatorics is a young eld of mathematics, starting to be an independent branch only in the 20th century. Discrete structures lecture notes vladlen koltun1 winter 2008 1computer science department, 353 serra mall, gates 374, stanford university, stanford, ca 94305, usa. Discrete here is used as the opposite of continuous.
A typical audience for this book will be freshman and sophomore students in the mathematical sciences, in engineering, in physics, and in any. Kamala krithivasan, department of computer science and engineering, iit madras. Dm is the study of topics that are discrete rather than continues, for that, the course is a must for any math or sc student. Induction and recursion richard mayr university of edinburgh, uk richard mayr university of edinburgh, uk discrete mathematics. The text covers the mathematical concepts that students will encounter in many disciplines such as computer science, engineering, business, and the sciences. Each customer will have access to boxes with a combination lock. Anna university regulation discrete mathematics ma6566 notes have been provided below with syllabus. Discrete structures lecture notes vladlen koltun1 winter 2008 1computer science department, 353 serra mall, gates 374, stanford university. Discrete mathematics forms the mathematical foundation of computer and information science.
Propositional equivalence, predicates and quantifiers, methods of proofs, proof strategy, sequences and summation, mathematical induction, recursive definitions and structural. We will be providing motivational illustrations and. In contrast to real numbers that have the property of varying smoothly, the objects studied in discrete mathematics such as integers, graphs, and statements in logic do not vary smoothly in this. Discrete mathematical structures nptel online videos, courses iit video lectures. This site is based on the class lectures and discussions on discrete mathematics. What are the best video lectures online to accompany rosen. It is increasingly being applied in the practical fields of mathematics and computer science.
Discrete mathematics lecture15 ngay 9 thang 12 nam 2011 discrete mathematics lecture15. Indeed i begin with a discussion of the basic rules of mathematical reasoning and of. This page intentionally left blank university of belgrade. A graph drawn in a plane in such a way that any pair of edges meet only at their end vertices. Discrete mathematics pdf notes dm lecture notes pdf. Discrete mathematics math 311 by nptel on iit kanpur. A lot of the answers allude to different university discrete math classes, which makes it a really good start. Gate cs topic wise preparation notes geeksforgeeks. This course introduces the basic concepts of discrete mathematics in the field of computer science. In case of discrete mathematics, i have downloaded the following nptel video playlist.
Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent in computer science. Discrete mathematics deals with objects that come in discrete bundles, e. This course covers several important topics of discrete mathematics. This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. University of virginia schaums outline series mcgrawhill. Schaums outlineof theoryandproblemsof discrete mathematics thirdedition seymour lipschutz, ph. It is a very good tool for improving reasoning and problemsolving capabilities. It discusses languages used in mathematical reasoning, basic concepts, and their properties and relationships among them. The aim of this book is not to cover discrete mathematics in depth it should be clear. Rosen, discrete mathematics and applications, fifth edition 2003. Apr 28, 2016 nptel discrete mathematics video lecture. From the gate cse site i got the list of recommended video lectures to watch. It covers sets, logic, functions, relations, graph theory and algebraic structures. Nptel discrete math by k kritivasan is more than enough for gate do not watch all videos first to last.
Cantor developed the concept of the set during his study of the. Computer sc discrete mathematical structures npteliit discrete mathematics this has the prescribed book mentioned as rosen. Some of the mathematics that is most relevant to programming is known as discrete mathematics. Propositional equivalence, predicates and quantifiers, methods of proofs, proof strategy, sequences and summation, mathematical induction, recursive definitions and structural induction, program correctness. Think of digital watches versus analog watches ones where the. This includes set thoery and logic, relations, partially ordered sets, boolean algebra. Discrete mathematics is the foundation for the formal approaches.
He was solely responsible in ensuring that sets had a home in mathematics. We will be providing motivational illustrations and applications through out the course. These discretetime mo dels are base d on a discre te v ariational. However, the rigorous treatment of sets happened only in the 19th century due to the german math ematician georg cantor. Rosen, discrete mathematics and applications, fifth edition 2003, tatamcgraw hill publishing company. Gate cs topic wise preparation notes on operating systems, dbms, theory of computation, mathematics, computer organization, and digital electronics. All the five units are covered in the discrete mathematics notes pdf. The discrete mathematics notes pdf dm notes pdf book starts with the topics covering logic and proof, strong induction,pigeon hole principle, isolated vertex, directed graph, alebric structers, lattices and boolean algebra, etc. These are notes on discrete mathematics for computer scientists.
Lecture notes combinatorics lecture by torsten ueckerdt kit. The course will be an introduction to discrete mathematics which comprises of the essentials for a computer science student to go ahead and study any other topics in the subject. Tech cseit, discrete mathematical structures unit i logic. Computer science and discrete mathematics csdm video. A course in discrete structures cornell university. This subject offers an interactive introduction to discrete mathematics oriented toward computer science and engineering. Liu, elements of discrete mathematics, second edition 1985, mcgrawhill book company. Ma6566 discrete mathematics previous year question papers.
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