Buy Discrete Mathematics with Applications on Amazon.com ✓ FREE. And she was an associate editor of Mathematics Magazine from 1991 to 2001. Discrete math is an important computer science skill that introduces you to propositional logic and logic circuits.
EBOOK SYNOPSIS: Rosen's Discrete Mathematics and its Applications presents a precise, relevant, comprehensive approach to mathematical concepts. This world-renowned best-selling text was written to accommodate the needs across a variety of majors and departments, including mathematics, computer science, and engineering. As the market leader, the book is highly flexible, comprehensive and a proven pedagogical teaching tool for instructors. Digital is becoming increasingly important and gaining popularity, crowning Connect as the digital leader for this discipline. McGraw-Hill Education's Connect, available as an optional, add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective.
Connect allows the professor to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers and may also have a 'multi-step solution' which helps move the students' learning along if they experience difficulty.
EBOOK SYNOPSIS: Rosen's Discrete Mathematics and its Applications presents a precise, relevant, comprehensive approach to mathematical concepts. This world-renowned best-selling text was written to accommodate the needs across a variety of majors and departments, including mathematics, computer science, and engineering. As the market leader, the book is highly flexible, comprehensive and a proven pedagogical teaching tool for instructors.
Digital is becoming increasingly important and gaining popularity, crowning Connect as the digital leader for this discipline. McGraw-Hill Education's Connect, available as an optional, add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect allows the professor to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work.
Problems are randomized to prevent sharing of answers and may also have a 'multi-step solution' which helps move the students' learning along if they experience difficulty. EBOOK SYNOPSIS: Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics.
He also discusses how to recognize valuable research connections through the structures. Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics.
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It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics. EBOOK SYNOPSIS: Discrete mathematics has been rising in prominence in the past fifty years, both as a tool with practical applications and as a source of new and interesting mathematics. The topics in discrete mathematics have become so well developed that it is easy to forget that common threads connect the different areas, and it is through discovering and using these connections that progress is often made. For over fifty years, Ron Graham has been able to illuminate some of these connections and has helped to bring the field of discrete mathematics to where it is today. To celebrate his contribution, this volume brings together many of the best researchers working in discrete mathematics, including Fan Chung, Erik D. Demaine, Persi Diaconis, Peter Frankl, Alfred W.
Hales, Jeffrey C. Lagarias, Allen Knutson, Janos Pach, Carl Pomerance, N. Sloane, and of course, Ron Graham himself. EBOOK SYNOPSIS: Listen here for author Nancy Crisler's introduction to Discrete Mathematics Through Applications. Written specifically for high school courses, Discrete Mathematics Through Applications is designed to help you put the established NCTM Standards for Discrete Math to work in your classroom, in a way that promotes active learning, critical thinking, and fully-engaged student participation. With this text, students will see the connections among mathematical topics and real-life events and situations, while sharpening their problem solving, mathematical reasoning and communication skills. The new edition adds new topics and significantly revised exercise sets and enhanced supplements.
EBOOK SYNOPSIS: Discrete mathematics, also called finite mathematics or Decision Maths, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. Most, if not all, of the objects studied in finite mathematics are countable sets, such as integers, finite graphs, and formal languages. Discrete mathematics has become popular in recent decades because of its applications to computer science. Concepts and notations from discrete mathematics are useful to study or describe objects or problems in computer algorithms and programming languages. In some mathematics curricula, finite mathematics courses cover discrete mathematical concepts for business, while discrete mathematics courses emphasise concepts for computer science majors. EBOOK SYNOPSIS: The purpose of this book is to inform mathematicians about the applicability of graph theory to other areas of mathematics, from number theory, to linear algebra, knots, neural networks, and finance. This is achieved through a series of expository chapters, each devoted to a different field and written by an expert in that field.
This book is more than a collection of essays however, in that the chapters have been carefully edited to ensure a common level of exposition, with terminology and notation standardized as far as possible. This book will be useful to professsional mathematicians and graduate students. It should also appeal to scientists working in other areas.
EBOOK SYNOPSIS: The subject of the book could be described as fuzzy discrete structures. The book deals with fuzzy logic, fuzzy switching functions, fuzzy decision trees, fuzzy networks, fuzzy petri nets, fuzzy path problems, fuzzy automata, and fuzzy languages.
The notion of a fuzzy decision tree and a branch-bound-backtrack algorithm is presented. In the Appendix, this algorithm is described in C. Network flow problems with various capacities are examined. Fuzzy shortest path techniques are presented whereby there is an actual path which corresponds to the fuzzy shortest path.
Recent results on fuzzy automata and fuzzy languages are also presented. EBOOK SYNOPSIS: The book provides a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-contained survey chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field. Three main areas are covered: theoretical results, algorithms, and practical applications. Following an historical and introductory overview of the field, the book explores the various mathematical and computational problems of discrete tomography with an emphasis on new applications.
I took a discrete math class as part of my computer science minor and here are the two main books my prof recommended: Rosen, K.H. (2012) Discrete Mathematics and its Applications, 7th Edition Lehman and Leighton 'Mathematics for Computer Science' (2004) Rosen is more rigorous than L&L but L&L has a well-written interesting style that makes it easy to flow through chapters. Both of these sources together will help you out. As mentioned, KhanAcademy and Coursera are also great options. I myself love KhanAcademy, they're always updating and making the site better. Good luck on your studies! Bo,okz'z dot org hehehe voila mon pote:P BIBLE:.
Martin Aigner Combinatorial Theory. Martin Aigner A Course in Enumeration. Martin Aigner Diskrete Mathematik ALTERNATIVE:.
5 Richard P. Stanley Enumerative Combinatorics In Cambridge Uni- versity Press, (1997), Cambridge studies in advanced mathematics 49 (Vol- ume 1) and 62 (Volume 2, first printed in 1999). ELSE:. 1 Alan Tucker Applied combinatorics In John Wiley & Sons, (2007), 5th edition. 2 Miklos Bona Introduction to enumerative combinatorics In McGraw- Hill, (2007). 3 Richard A.
Brualdi Introductory combinatorics In Pearson Prentice Hall, (2004), 4th edition. 4 Charalambos A. Charalambides Enumerative combinatorics In Chapman & Hall/CRC, (2002). 5 Richard P. Stanley Enumerative Combinatorics In Cambridge Uni- versity Press, (1997), Cambridge studies in advanced mathematics 49 (Vol- ume 1) and 62 (Volume 2, first printed in 1999). 6 Peter J. Cameron Combinatorics: topics, techniques, algorithms In Cambridge University Press, (1994).
7 Victor Bryant Aspects of combinatorics: a wide-ranging introduction In Cambridge University Press, (1992). Wilson A Course in Combinatorics In Cam- bridge University Press, (1992). 9 Alan Slomson An introduction to combinatorics In Chapman and Hall, (1991). 10 Edward A. Gill Williamson Foundations of applied combinatorics In Addison-Wesley, (1991). 11 Kenneth P.
Bogart Introductory Combinatorics In Harcourt Brace Jovanovich, (1990). Jackson Combinatorial enumeration In John Wiley & Sons, (1983), Wiley-Interscience series in discrete mathematics. Vilenkin Combinatorics In Academic Press, (1971), English translation by A. Shenitzer, S.
14 Martin Aigner Combinatorial Theory In Springer-Verlag, (1979), A Series of Comprehensive Studies in Mathematics 234.