Introduction aux mathématiques discrètes PDF Download
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Author: Jiri Matousek
Publisher: Springer Science & Business Media
ISBN: 9782287200106
Category : Mathematics
Languages : fr
Pages : 480
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Book Description
Cet ouvrage propose une initiation simple et complète aux fondements des mathématiques discrètes. Il encourage une approche active de la matière, fondée sur la résolution de nombreux exercices. L'exposé aborde des thèmes aussi variés que la combinatoire, la théorie des graphes, les méthodes probabilistes élémentaires, les plans projectifs finis, les applications combinatoires de l'algèbre linéaire et de l'analyse ainsi que les fonctions génératrices.
Author: Jiri Matousek
Publisher: Springer Science & Business Media
ISBN: 9782287200106
Category : Mathematics
Languages : fr
Pages : 480
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Book Description
Cet ouvrage propose une initiation simple et complète aux fondements des mathématiques discrètes. Il encourage une approche active de la matière, fondée sur la résolution de nombreux exercices. L'exposé aborde des thèmes aussi variés que la combinatoire, la théorie des graphes, les méthodes probabilistes élémentaires, les plans projectifs finis, les applications combinatoires de l'algèbre linéaire et de l'analyse ainsi que les fonctions génératrices.
Author: S. Yablonski
Publisher:
ISBN:
Category :
Languages : fr
Pages : 286
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Book Description
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724572639
Category :
Languages : en
Pages : 238
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Book Description
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Author: Robert J. McEliece
Publisher: McGraw-Hill College
ISBN: 9780075570158
Category : Mathematics
Languages : en
Pages : 462
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Book Description
Author: Robert J. McEliece
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 552
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Book Description
Author: Koo-Guan Choo
Publisher: Longman Publishing Group
ISBN: 9780582800557
Category : Computer science
Languages : en
Pages : 148
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Book Description
Discrete Mathematics covers such a wide range of topics that it is difficult to give a simple definition of the subject. Whereas calculus deals with continuous or even smooth objects, discrete mathematics deals with things that come in "chunks" that can be counted. We will be a lot more precise about just what sort of "chunks" we are dealing with in the later chapters. If your mathematical background is only high school calculus you could well believe that mathematics is only about numbers functions and formulas for solving problems. If this is the case, the topics in this book may be quite a surprise because for mathematicians, computer scientists and engineers, Discrete Mathematics includes logic, set theory, enumeration, networks, automata, formal languages and many other discrete structures. That is what this book is about. On the other hand, in 19 lectures we can only present an introduction to the subject and we must leave other important topics such as graph theory, error-correcting codes, discrete probability theory and applications to theoretical computer science to a second or third course. The topics covered are set theory, logic, Boolean algebra, counting, generating functions, recurrence relations, finite automata and formal languages with a lot of emphasis on counting. The set theory and logic is basic material which will be useful many courses besides Discrete Mathematics. Counting problems which look quite hard when stated in ordinary English can often be solved easily when translated into the language of set theory. We give many examples that reduce to counting the number of functions of various types between sets, or counting the number of subsets of a set.
Author: Steven Roman
Publisher: W.B. Saunders Company
ISBN:
Category : Mathematics
Languages : en
Pages : 480
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Book Description
Author: Jon Pierre Fortney
Publisher: CRC Press
ISBN: 1000296644
Category : Mathematics
Languages : en
Pages : 272
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Book Description
Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first- or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, and trees. Features Designed to be especially useful for courses at the community-college level Ideal as a first- or second-year textbook for computer science majors, or as a general introduction to discrete mathematics Written to be accessible to those with a limited mathematics background, and to aid with the transition to abstract thinking Filled with over 200 worked examples, boxed for easy reference, and over 200 practice problems with answers Contains approximately 40 simple algorithms to aid students in becoming proficient with algorithm control structures and pseudocode Includes an appendix on basic circuit design which provides a real-world motivational example for computer science majors by drawing on multiple topics covered in the book to design a circuit that adds two eight-digit binary numbers Jon Pierre Fortney graduated from the University of Pennsylvania in 1996 with a BA in Mathematics and Actuarial Science and a BSE in Chemical Engineering. Prior to returning to graduate school, he worked as both an environmental engineer and as an actuarial analyst. He graduated from Arizona State University in 2008 with a PhD in Mathematics, specializing in Geometric Mechanics. Since 2012, he has worked at Zayed University in Dubai. This is his second mathematics textbook.
Author: Kenneth Kalmanson
Publisher: Addison Wesley Publishing Company
ISBN: 9780201149470
Category : Mathematics
Languages : en
Pages : 486
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Book Description
Equally well-suited to programmers and non-programmers alike, this book presents the topics of discrete mathematics with an emphasis on applications, problem-solving, and algorithms. The interplay between mathematics and computer science is the primary theme of the book. The book emphasizes development of relevant mathematical techniques, and motivates these techniques through numerous examples, applications, and exercises. Over 1,300 graded exercises, from routine to challenging, provide ample drill for students and enhance their understanding of concepts, algorithms, and proofs.
Author: V. K. Balakrishnan
Publisher: Courier Corporation
ISBN: 0486691152
Category : Mathematics
Languages : en
Pages : 259
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Book Description
This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. Geared toward mathematics and computer science majors, it emphasizes applications, offering more than 200 exercises to help students test their grasp of the material and providing answers to selected exercises. 1991 edition.
