- #1
Simpl0S
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I am currently taking a course in discrete mathematics. The literature used is "Discrete Mathematics And Its Applications by Kenneth H. Rosen" 6th ed., or 7th ed. I have encountered most of the topics from that book. I.e. Logic, naive set theory, &c. What I have encountered also is the definitions of functions in terms of images and mappings. But I always encounter this subject like some small sub-chapter in books. I.e. in the above mentioned book the following is illustrated
To what area of mathematics does this sort of symbolism and illustration of functions belong? Is there a book which you recommend on this subject? Like i.e. in courses which I have had and in the discrete mathematics course, set theory is barely touched upon, so I ended up buying Axiomatic Set Theory by Patrick Suppes to have a broader treatment of the subject. But for the functions as images (Sorry that I do not have name for this subject) I do not know where to start searching for "deeper" treatment. I feel as if these books only teach me bits and pieces from functions as mappings and I want a serious treatment on these, if possible.
I have also encountered mappings in S. Lang's Intro to linear algebra.
Also do you recommend any books on discrete mathematics? The covered subjects in my course are:
Logic and Proofs
Sets and functions
Algorithms, Integers and Matrices
Induction and Recursion
Counting
Advanced Counting Techniques
Logistic maps
Celullar Automata
Relations
Graphs & Trees (Hamiltion and Euler circuit)
According to the syllabus, from Logics until Counting it is only a repetition and a fast treatment of the subjects and starting with advanced counting techniques until graphs and trees is the main focus of this course.
To what area of mathematics does this sort of symbolism and illustration of functions belong? Is there a book which you recommend on this subject? Like i.e. in courses which I have had and in the discrete mathematics course, set theory is barely touched upon, so I ended up buying Axiomatic Set Theory by Patrick Suppes to have a broader treatment of the subject. But for the functions as images (Sorry that I do not have name for this subject) I do not know where to start searching for "deeper" treatment. I feel as if these books only teach me bits and pieces from functions as mappings and I want a serious treatment on these, if possible.
I have also encountered mappings in S. Lang's Intro to linear algebra.
Also do you recommend any books on discrete mathematics? The covered subjects in my course are:
Logic and Proofs
Sets and functions
Algorithms, Integers and Matrices
Induction and Recursion
Counting
Advanced Counting Techniques
Logistic maps
Celullar Automata
Relations
Graphs & Trees (Hamiltion and Euler circuit)
According to the syllabus, from Logics until Counting it is only a repetition and a fast treatment of the subjects and starting with advanced counting techniques until graphs and trees is the main focus of this course.