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Learn how to use the elements of discrete mathematics in this post by c.l. liu; read free pdfs of books written by c.l. liu online in this blog post! Learn about infinite series, one-sided limits, function approximation, and more in one easy step! Compare the two methods for adding consecutive integers: adding them together or replacing them with their sum; check whether there's a pattern to the resulting number sequence when an integer is added four times in each method; find out what happens when an integer is three times replaced with its sum in each method and see if it makes a difference whether they're sums or just replacements.... Learn how to write a recursive definition for . Study the recursive functions using the command to determine whether they are primitive recursive or not. Learn about mathematical induction and how it can be used to prove some statements about numbers.... Consider the properties of sets. Learn the sets of natural numbers , integers, rational numbers , real numbers , complex numbers . Learn some basic concepts in graph theory, you will find that there are many applications of graph theory in every day life, social networks are just one of them! Another old very famous book that I have encounter is Elements Of Discrete Mathematics by C. Liu. It is an excellent book for learning discrete math including combinatorics, sequence and series, functions (including difference equations). Both are very good. I have used both of them in my undergraduate degree and I strongly recommend them to you. You can learn more about the book at this link: Books (all free pdfs):All books are available for free download under Creative Commons CC0.Chen, H., Liu, C.L.: Counting permutations with repeated digits . Discrete Probability & Statistics , vol. 2013, p. 66-71 (2013) (ISSN: 1568-2677). DOI: 10.1016/j.dpsyn.2012.06.010 Liu, C.-L.: Evaluation of recurrence relations . Discrete Mathematics 309, 6369-6376 (2011) (ISSN: 0012-365X, DOI 10.1016/j.disc.2010.05.006). Feng, B., Liu, C.-L.:Some properties of sequence generated by the linear recurrence function and improvement of generating functions in solving linear recurrence relations in discrete mathematics . Advances in Mathematics and Physics 3:1 (2011) (ISSN: 2087-8726). Liu, C.-L.: A simple method for generating polynomials with given coefficients . Journal of Theoretical and Applied Information Technology 67:5 (2010) (ISSN: 1563-5468). Liu, C.-L.: Methods of generating functions and applications . Computers and Mathematics with Applications 57:8-9 (2008) (ISSN: 0010-4825). Liu, C.-L.: Methods of generating functions and applications . Computers and Mathematics with Applications 57:8-9 (2008) (ISSN: 0010-4825). Liu, C.-L.: Application of formal power series to some problems in discrete mathematics . Applied Mathematics and Computation 203:2 (2007) (ISSN: 0893-7669). Liu, C.-L.: Some methods of generating sequences and their applications . cfa1e77820
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