Algebra and discrete mathematics 1. Basic mathematical concepts, algebraic structures 1, linear algebra and analytic geometry, numerical algebra. 2nd corrected ... D Lau - Algebra and discrete mathematics 1. Basic mathematical concepts, algebraic structures 1, linear algebra and analytic geometry, numer...
Nowadays, however, such a definition will not do, for modern algebra deals with abstract structures instead of numbers, and some branches of geometry study objects that barely resemble any figure in the plane or in space. Other branches of mathematics, including analysis, discrete mathematics, and...
In reply to the question 'What does mathematics study?', it is hardly acceptable to answer 'structures' or 'sets with specified relations'; for among the myriad conceivable structures or sets with specified relations, only a very small discrete subset is of real interest to mathematicians, and...
Students who plan to advance to upper-level classes in computer science (discrete structures, algorithms, computability, automata theory, ...), economics, or electrical and computer engineering (signal and image processing, AI, circuit design, ...) will benefit from mastering the material in this...
Reproduction numbers for epidemic models with households and other social structures. I. Definition and calculation of R0. ► We consider SIR epidemic models with small mixing units. ► We provide a general definition ofR0in terms of branching processes. ► We apply it to... L Pellis,F...
Mudd Merit Scholarship, National Merit Scholarship - Relevant Coursework: Data Structures, Program Development, Microprocessors, Abstract Algebra I: Groups and Rings, Linear Algebra, Discrete Mathematics, Multivariable & Single Variable Calculus, Principles and Practice of Comp Sci == Work Experience #...
This chapter reviews some basic concepts and results of the theory of cellular automata (CA). Topics discussed include classical results from the 1960s, relations between various concepts of injectivity and surjectivity, and dynamical system concepts related to chaos in CA. Most results are reported...
This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are famil...
The two volume set, Handbook of Combinatorics, has as parts: Structures, Aspects, Methods, Applications, and Horizons. The part devoted to Structures contains the sections: Graphs, Finite Sets and Relations, Matroids, Symmetric Structures, and Combinatorial Structures in Geometry and Number Theory. ...
Matthews, L.: Duality in independence structures, Third Symposium on Operations Research (Univ. Mannheim, Mannheim, 1978) Section 2, pp. 173–179, Operations Research Verfahren, 32, Hain, Meisenheim, 1979. Google Scholar McKee, T.A.: A quantifier for duality, Discrete Math. 34(1981), 315...