This practically-focused study guide introduces the fundamentals of discrete mathematics through an extensive set of classroom-tested problems. Each chapter presents a concise introduction to the relevant theory, followed by a detailed account of common challenges and methods for overcoming these. The reader is then encouraged to practice solving such problems for themselves, by tackling a vari…
Daftar isi: 1. Logika 2. Himpunan 3. Matriks, relasi dan fungsi 4. Induksi matematik 5. Algoritma dan bilangan bulat 6. Kombinatorial dan peluang diskrit 7. Aljabar boolean 8. Graf 9. Pohon 10. Komleksitas Algoritma Daftar pustaka
Daftar isi: 1. Logika 2. Himpunan 3. Matriks, relasi dan fungsi 4. Induksi matematika 5. Algoritma dan bilangan bulat (integer) 6. Kombinatorial dan perulangan diskrit 7. Aljabar Boolean 8. Graf 9. Pohon 10. Komleksitas Algoritma
Daftar isi: BAB 1 Logika proposal BAB 2 Teori himpunan BAB 3 Teori himpunan fuzzy BAB 4 Logika fuzzy BAB 5 Relasi klasik BAB 6 Fungsi BAB 7 Aljabar boole BAB 8 Teori graph BAB 9 Mesin matematika Daftar pustaka
Daftar isi: 1 Logika dan himpunan A. Logika B. Metode pembuktian C. Terminologi himpunan D. Operasi dualitas E. Multiset 2 Relasi dan fungsi A. Relasi dan cara penyajian B. Beberapa sifat relasi C. Operasi pada relasi D. Relasi ekivalen dan relasi terturut E. Fungsi 3 Teori bilangan dan kombinatorik A. Teori bilangan B. Prinsip dasar menghitung C. Permutasi dan kombinasi …
Contents: 1 Properties of numbers 1.1 Numbers 1.2 Sums 1.3 Bases 1.4 Scientific notation 1.5 Aritmetic in computers 2 Sets and data structures 2.1 Propositions and logic 2.2 Elements of set theory 2.3 Proof methods in set operations 2.4 Some further set operations 2.5 Mathematical induction 3 Boolean algebras and circuits 3.1 Boolean algebra 3.2 Boolean forms 3.3 Finding m…
Daftar Isi: 1. Bab 1 DASAR-DASAR LOGIKA 1 1.1. Kalimat Deklaratif / 1 1.2. Penghubung Kalimat / 3 1.3. Tautologi dan Kontradiksi / 21 1.4. Konvers, myers, dan Kontraposisi / 23 1.5. Inferensi Logika / 25 1.5.1. Argumen Valid dan Invalid / 26 1.5.2. Metode-metode Inferensi / 28 1.5.2.1. Modus Ponens / 29 1.5.2.2. Modus Tollens / 30 1.5.2.3. Penambahan Disjungtif / 30 1.5.2.4. Peny…
Daftar isi: Bab 1 Teori himpunan Bab 2 Relasi Bab 3 Fungsi Bab 4 Vektor dan matriks Bab 5 Himpunan terurut dan latteks Bab 6 Kalkulus proposisi Bab 7 Aljabar boolean, gerbang logika INDEKS
A polynomial over a finite ring R is called permutation polynomial if it induces a bijection from R to R. Permutation polynomials have been a subject of study for many years and have applications in many areas of science and engineering. This monograph contains some results related to permutation polynomials over finite rings and finite fields. A survey of known results and detailed bibliograph…
Once considered an “unimportant” branch of topology, graph theory has come into its own through many important contributions to a wide range of fields – and is now one of the fastest-growing areas in discrete mathematics and computer science. This practical, intuitive book introduces basic concepts, definitions, theorems, and examples from graph theory. Presents a collection of interestin…