Discrete Mathematical Structures for Computer Science PDF Download

Author: Bernard Kolman
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 488

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Book Description
This text has been designed as a complete introduction to discrete mathematics, primarily for computer science majors in either a one or two semester course. The topics addressed are of genuine use in computer science, and are presented in a logically coherent fashion. The material has been organized and interrelated to minimize the mass of definitions and the abstraction of some of the theory. For example, relations and directed graphs are treated as two aspects of the same mathematical idea. Whenever possible each new idea uses previously encountered material, and then developed in such a way that it simplifies the more complex ideas that follow.

Author: Egon Balas
Publisher: Springer
ISBN: 3030001482
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.

Author: W. Sierpinski
Publisher: Elsevier
ISBN: 0080960197
Category : Mathematics
Languages : en
Pages : 527

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Book Description
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

Author: Norman Biggs
Publisher: Oxford University Press
ISBN: 9780198507178
Category : Computers
Languages : en
Pages : 444

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Book Description
Discrete mathematics is a compulsory subject for undergraduate computer scientists. This new edition includes new chapters on statements and proof, logical framework, natural numbers and the integers and updated exercises from the previous edition.

Author: Université du Québec à Montréal. Centre interdisciplinaire de recherche sur l'apprentissage et le développement en éducation
Publisher: Hillsdale, N.J. : L. Erlbaum Associates
ISBN:
Category : Education
Languages : en
Pages : 268

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Book Description
Papers derived from a symposium organized by CIRADE of Université du Québec à Montréal.

Author: Leonard Parker
Publisher: Addison-Wesley Professional
ISBN:
Category : Computers
Languages : en
Pages : 408

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Book Description
Provides a computer program which adds tensor analysis to Mathematica. The book includes: an introduction to MathTensor's commands and functions; information on how to apply MathTensor to specific problems; and tips on how to solve problems in electromagnetism and relativity.

Author: Dan Schwalbe
Publisher: Springer
ISBN: 9781461274735
Category : Computers
Languages : en
Pages : 0

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Book Description
This title presents new ideas on the visualization of differential equations with user-configurable tools. The authors use the widely-used computer algebra system, Mathematica, to provide an integrated environment for programming, visualizing graphics, and running commentary for learning and working with differential equations.

Author: Bruce M. Landman
Publisher: American Mathematical Soc.
ISBN: 0821898671
Category : Mathematics
Languages : en
Pages : 409

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Book Description
Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics. Ramsey Theory on the Integers offers students a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems. For this new edition, several sections have been added and others have been significantly updated. Among the newly introduced topics are: rainbow Ramsey theory, an "inequality" version of Schur's theorem, monochromatic solutions of recurrence relations, Ramsey results involving both sums and products, monochromatic sets avoiding certain differences, Ramsey properties for polynomial progressions, generalizations of the Erdős-Ginzberg-Ziv theorem, and the number of arithmetic progressions under arbitrary colorings. Many new results and proofs have been added, most of which were not known when the first edition was published. Furthermore, the book's tables, exercises, lists of open research problems, and bibliography have all been significantly updated. This innovative book also provides the first cohesive study of Ramsey theory on the integers. It contains perhaps the most substantial account of solved and unsolved problems in this blossoming subject. This breakthrough book will engage students, teachers, and researchers alike.

Author: Joseph Black
Publisher:
ISBN:
Category : Chemistry
Languages : en
Pages : 480

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Book Description

Author: Kenneth H. Rosen
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN: 9780073312712
Category : Computer science
Languages : en
Pages : 0

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Book Description
"Discrete Mathematics and its Applications, Sixth Edition", is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 600 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide variety of real-world applications ... from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields.