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| 如果我有一千萬，我就能買一棟房子。
我有一千萬嗎？沒有。
所以我仍然沒有房子。
如果我有翅膀，我就能飛。
我有翅膀嗎？沒有。
所以我也沒辦法飛。
如果把整個太平洋的水倒出，也澆不熄我對妳愛情的火燄。
整個太平洋的水全部倒得出嗎？不行。
所以我並不愛妳。 (Written by jht)
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書的香氣是耐人尋味，你、我相遇在二手書 店....＆ |
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當按下購買後，系統會將您的手機號碼以簡訊方式告知賣方，賣方將主動與您聯繫。
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| 書本編號 |
：ISBN 0321211030 |
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| 書名 |
| ： | Discrete and Combinatorial Mathematics, 5/e |
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| 出版商 |
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| 書本訂價 |
：1200元 |
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| 書本賣價 |
：600元
(需另加運費:$55)
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| 推薦給朋友 |
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| 書本描述 |
：
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Table of Contents
PART 1. FUNDAMENTALS OF DISCRETE MATHEMATICS.
1. Fundamental Principles of Counting.
The Rules of Sum and Product.
Permutations.
Combinations: The Binomial Theorem.
Combinations with Repetition.
The Catalan Numbers (Optional).
Summary and Historical Review.
2. Fundamentals of Logic.
Basic Connectives and Truth Tables.
Logical Equivalence: The Laws of Logic.
Logical Implication: Rules of Inference.
The Use of Quantifiers.
Quantifiers, Definitions, and the Proofs of Theorems.
Summary and Historical Review.
3. Set Theory.
Sets and Subsets.
Set Operations and the Laws of Set Theory.
Counting and Venn Diagrams.
A First Word on Probability.
The Axioms of Probability (Optional).
Conditional Probability: Independence (Optional).
Discrete Random Variables (Optional).
Summary and Historical Review.
4. Properties of the Integers: Mathematical Induction.
The Well-Ordering Principle: Mathematical Induction.
Recursive Definitions.
The Division Algorithm: Prime Numbers.
The Greatest Common Divisor: The Euclidean Algorithm.
The Fundamental Theorem of Arithmetic.
Summary and Historical Review.
5. Relations and Functions.
Cartesian Products and Relations.
Functions: Plain and One-to-One.
Onto Functions: Stirling Numbers of the Second Kind.
Special Functions.
The Pigeonhole Principle.
Function Composition and Inverse Functions.
Computational Complexity.
Analysis of Algorithms.
Summary and Historical Review.
6. Languages: Finite State Machines.
Language: The Set Theory of Strings.
Finite State Machines: A First Encounter.
Finite State Machines: A Second Encounter.
Summary and Historical Review.
7. Relations: The Second Time Around.
Relations Revisited: Properties of Relations.
Computer Recognition: Zero-One Matrices and Directed Graphs.
Partial Orders: Hasse Diagrams.
Equivalence Relations and Partitions.
Finite State Machines: The Minimization Process.
Summary and Historical Review.
PART 2. FURTHER TOPICS IN ENUMERATION.
8. The Principle of Inclusion and Exclusion.
The Principle of Inclusion and Exclusion.
Generalizations of the Principle.
Derangements: Nothing Is in Its Right Place.
Rook Polynomials.
Arrangements with Forbidden Positions.
Summary and Historical Review.
9. Generating Functions.
Introductory Examples.
Definition and Examples: Calculational Techniques.
Partitions of Integers.
The Exponential Generating Functions.
The Summation Operator.
Summary and Historical Review.
10. Recurrence Relations.
The First-Order Linear Recurrence Relation.
The Second-Order Linear Homogeneous Recurrence Relation with Constant Coefficients.
The Nonhomogeneous Recurrence Relation.
The Method of Generating Functions.
A Special Kind of Nonlinear Recurrence Relation (Optional).
Divide and Conquer Algorithms.
Summary and Historical Review.
PART 3. GRAPH THEORY AND APPLICATIONS.
11. An Introduction to Graph Theory.
Definitions and Examples.
Subgraphs, Complements, and Graph Isomorphism.
Vertex Degree: Euler Trails and Circuits.
Planar Graphs.
Hamilton Paths and Cycles.
Graph Coloring and Chromatic Polynomials.
Summary and Historical Review.
12. Trees.
Definitions, Properties, and Examples.
Rooted Trees.
Trees and Sorting.
Weighted Trees and Prefix Codes.
Biconnected Components and Articulation Points.
Summary and Historical Review.
13. Optimization and Matching.
Dijkstra's Shortest Path Algorithm.
Minimal Spanning Trees: The Algorithms of Kruskal and Prim.
Transport Networks: The Max-Flow Min-Cut Theorem.
Matching Theory.
Summary and Historical Review.
PART 4. MODERN APPLIED ALGEBRA.
14. Rings and Modular Arithmetic.
The Ring Structure: Definition and Examples.
Ring Properties and Substructures.
The Integers Modulo n. Cryptology.
Ring Homomorphisms and Isomorphisms: The Chinese Remainder Theorem.
Summary and Historical Review.
15. Boolean Algebra and Switching Functions.
Switching Functions: Disjunctive and Conjunctive Normal Forms.
Gating Networks: Minimal Sums of Products: Karnaugh Maps.
Further Applications: Don't-Care Conditions.
The Structure of a Boolean Algebra (Optional).
Summary and Historical Review.
16. Groups, Coding Theory, and Polya's Theory of Enumeration.
Definition, Examples, and Elementary Properties.
Homomorphisms, Isomorphisms, and Cyclic Groups.
Cosets and Lagrange's Theorem.
The RSA Cipher (Optional).
Elements of Coding Theory.
The Hamming Metric.
The Parity-Check and Generator Matrices.
Group Codes: Decoding with Coset Leaders.
Hamming Matrices.
Counting and Equivalence: Burnside's Theorem.
The Cycle Index.
The Pattern Inventory: Polya's Method of Enumeration.
Summary and Historical Review.
17. Finite Fields and Combinatorial Designs.
Polynomial Rings.
Irreducible Polynomials: Finite Fields.
Latin Squares.
Finite Geometries and Affine Planes.
Block Designs and Projective Planes.
Summary and Historical Review.
Appendices.
Exponential and Logarithmic Functions.
Matrices, Matrix Operations, and Determinants.
Countable and Uncountable Sets.
Solutions.
Index.
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| 問與答 |
：本書已下架，關閉問與答功能。 |
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賣家名稱 |
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| 分類 |
：原(外)文書-D |
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到期日 |
：無期限 |
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| 取件方式 |
：
自取、郵寄
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使用程度 |
：
九成五新 |
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| 運費 |
：55 |
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數量 |
：1 |
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| 所在地點 |
：高雄市-楠梓區 |
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點閱人次 |
：819 [0人加入追蹤] |
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