Discrete mathematics

Ebook Concrete mathematics: A foundation for computer science (Second edition) presents the following content: Chapter 1: recurrent problems, chapter 2: sums, chapter 3: integer functions, chapter 4: number theory, chapter 5: binomial coefficients, chapter 6: special numbers, chapter 7: generating functions, chapter 8: discrete probability, chapter 9: asymptotics.

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Ebook Discrete and combinatorial mathematics (5th edition) presents the following content: Part 1 fundamentals of discrete mathematics, part 2 further topics in enumeration, part 3 graph theory and applications, part 4 modern applied algebra.

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In this book you will find the basics of probability theory and statistics. In addition, there are several topics that go somewhat beyond the basics but that ought to be present in an introductory course: simulation, the Poisson process, the law of large numbers, and the central limit theorem. Computers have brought many changes in statistics. In particular, the bootstrap has earned its place. It provides the possibility to derive confidence intervals and perform tests of hypotheses where traditional (normal approximation or large sample) methods are inappropriate.

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Thoroughly revised, the second edition of Software Testing: A Craftsman's Approach reflects the recent growth and changes in software standards and development. Outdated material has been deleted and new topics, figures, case studies now complement its solid, accessible treatment of the mathematics and techniques of software testing. Foremost among this edition's refinements is the definition of a generalized pseudocode that replaces the outdated Pascal code used in the examples. The text is now independent of any particular programming language.

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The thesis "Stability of some classes of degenerate two-phase difference systems with delay" is to study the stability of degenerate two-phase systems with mixed delay in the direction of variation; Stability and dissipation in finite domain of degenerate 2-D system with variable delay; Evaluation of the gain set and control design for a degenerate 2-D system in the Roesser model with variable delay;... Please refer to it!

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Ebook "Classical and spatial stochastic processes: With applications to biology (Second edition)" presents the concepts and applications of random processes with the same illuminating simplicity as its first edition, but with the notable addition of substantial modern material on biological modeling. While still treating many important problems in fields such as engineering and mathematical physics, the book also focuses on the highly relevant topics of cancerous mutations, influenza evolution, drug resistance, and immune response.

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Part 1 book "Engineering mathematics" includes content: Review of algebraic techniques; engineering functions; the trigonometric functions; coordinate systems; discrete mathematics; sequences and series; vectors; matrix algebra; complex numbers; differentiation; techniques of differentiation; applications of differentiation; integration.

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Part 1 book "Discrete mathematics and its applications" includes content: The foundations - logic and proofs; basic structures - sets, functions, sequences, sums, and matrices; algorithms; number theory and cryptography, induction and recursion; counting; discrete probability.

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Part 2 book "Discrete mathematics and its applications" includes content: Advanced counting techniques, relations, graphs, trees, boolean algebra, modeling computation, suggested readings, answers to odd numbered exercises.

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Part 1 book "Discrete mathematics" includes content: Sets and logic; proofs; functions, sequences, and relations; algorithms; introduction to number theory; counting method sand the pigeonhole principle.

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Part 2 book "Discrete mathematics" includes content: Recurrence relations; graph theory; trees; network models; boolean algebras and combinatorial circuits; automata, grammars, and languages.

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Part 1 book "Discrete mathematics and its applications" includes content: The foundations - logic and proofs; basic structures - sets, functions, sequences, sums, and matrices; algorithms; number theory and cryptography; induction and recursion; counting; discrete probability; advanced counting techniques; relations.

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Part 2 book "Discrete mathematics and its applications" includes content: Graphs, trees, boolean algebra, modeling computation, axioms for the real numbers and the positive integers; exponential and logarithmic functions; pseudocode.

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Part 1 of ebook "Financial products: An introduction using Mathematics and Excel" provides readers with contents including: an introduction to Excel; Chapter 1 - A foundation; Chapter 2 - Forward contracts; Chapter 3 - The futures market; Chapter 4 - Bonds;...

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Ebook "Modelling water flow in unsaturated porous media: Accounting for nonlinear permeability and material heterogeneity" focuses on two issues related to mathematical and numerical modelling of flow in unsaturated porous media. In the first part numerical solution of the governing equations is discussed, with particular emphasis on the spatial discretization of highly nonlinear permeability coefficient. The second part deals with large scale flow in heterogeneous porous media of binary structure.

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Lecture Discrete mathematics: Chapter 2.1 provide students with content about: definition of sets; describing sets; roster method; set-builder notation; some important sets in mathematics; empty set and universal set; subsets and set equality; cardinality of sets; tuples; cartesian product;... Please refer to the detailed lecture content!

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Lecture Discrete mathematics: Chapter 2.2 provide students with content about: definition of a function; domain, codomain; image, preimage; injection, surjection, bijection; inverse function; function composition; graphing functions; floor, ceiling, factorial; partial functions (optional);... Please refer to the detailed lecture content!

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Lecture Discrete mathematics: Chapter 3 provide students with content about: algorithms, example algorithms, algorithmic paradigms; growth of functions; big-O and other notation; complexity of algorithms;... Please refer to the detailed lecture content!

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Lecture Discrete mathematics: Chapter 5 provide students with content about: mathematical induction; strong induction; well-ordering; recursive definitions; structural induction; recursive algorithms; program correctness;... Please refer to the detailed lecture content!

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Lecture Discrete mathematics: Chapter 1.1 helps you to explore concepts in discrete mathematics using in computer systems. By following the book "Discrete Mathematics and Its Applications," Seventh Edition, by Kenneth H. Rosen, an introduction to the mathematical structures and concepts used in computing: sets, mathematical induction, ordered sets, Boolean algebras, predicate calculus, graphs, trees and relations will be presented in the course. Please refer to the detailed lecture content!

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