A Beginners Guide To Discrete Mathematics Pdf
Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined.
Author: W.D. Wallis
Publisher: Springer Science & Business Media
ISBN: 9781475738261
Category: Mathematics
Page: 367
View: 340
This introduction to discrete mathematics is aimed at freshmen and sophomores in mathematics and computer science. It begins with a survey of number systems and elementary set theory before moving on to treat data structures, counting, probability, relations and functions, graph theory, matrices, number theory and cryptography. The end of each section contains problem sets with selected solutions, and good examples occur throughout the text.
Key features of the second edition: * Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book * Introduces functions, vectors, matrices, number systems, scientific notations, and the ...
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ISBN: 0817682872
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Page: 444
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(i) How many use exactly one of these brands? (ii) How many only use other brands? 13. A survey of students found that: (a) 62 were enrolled in Calculus; (b) 71 were enrolled in Algebra; (c) 67 were enrolled in Discrete Mathematics; ...
Author: W.D. Wallis
Publisher: Springer Science & Business Media
ISBN: 9781475738148
Category: Mathematics
Page: 355
View: 984
This concisely written text in finite mathematics gives a sequential, distinctly applied presentation of topics, employing a pedagogical approach that is ideal for freshmen and sophomores in business, the social sciences, and the liberal arts. The work opens with a brief review of sets and numbers, followed by an introduction to data sets, counting arguments, and the Binomial Theorem, which sets the foundation for elementary probability theory and some basic statistics. Further chapters treat graph theory as it relates to modelling, matrices and vectors, and linear programming. Requiring only two years of high school algebra, this book's many examples and illuminating problem sets - with selected solutions - will appeal to a wide audience of students and teachers.
This second edition of A Beginner's Guide to Finite Mathematics takes a distinctly applied approach to finite mathematics at the freshman and sophomore level.
Author: W.D. Wallis
Publisher: Springer Science & Business Media
ISBN: 9780817683191
Category: Mathematics
Page: 483
View: 614
This second edition of A Beginner's Guide to Finite Mathematics takes a distinctly applied approach to finite mathematics at the freshman and sophomore level. Topics are presented sequentially: the book opens with a brief review of sets and numbers, followed by an introduction to data sets, histograms, means and medians. Counting techniques and the Binomial Theorem are covered, which provides the foundation for elementary probability theory; this, in turn, leads to basic statistics. This new edition includes chapters on game theory and financial mathematics. Requiring little mathematical background beyond high school algebra, the text will be especially useful for business and liberal arts majors.
17. 18. 19 H. L. Abbott, Lower bounds for some Ramsey numbers. Discrete Math. 2 (1972), 289– 293. W. S. Andrews, Magic Squares and Cubes. Dover (1960). K. Appel and W. Haken, Every planar graph is four colorable. Bull. Amer. Math, Soc.
Author: W.D. Wallis
Publisher: Springer Science & Business Media
ISBN: 9780817645809
Category: Mathematics
Page: 260
View: 959
Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use
A Beginner's Guide to Graph Theory. Birkhiiuser, Boston, 2000. W. D. Wallis. Magic Graphs. Birkhiiuser, Boston, 2001. W. D. Wallis. A Beginner 's Guide to Discrete Mathematics. Birkhauser, Boston, 2003. K. Warwick and M. Karny, editors.
Author: David J. Marchette
Publisher: John Wiley & Sons
ISBN: 9780471722083
Category: Mathematics
Page: 264
View: 997
A timely convergence of two widely used disciplines Random Graphs for Statistical Pattern Recognition is the first book to address the topic of random graphs as it applies to statistical pattern recognition. Both topics are of vital interest to researchers in various mathematical and statistical fields and have never before been treated together in one book. The use of data random graphs in pattern recognition in clustering and classification is discussed, and the applications for both disciplines are enhanced with new tools for the statistical pattern recognition community. New and interesting applications for random graph users are also introduced. This important addition to statistical literature features: Information that previously has been available only through scattered journal articles Practical tools and techniques for a wide range of real-world applications New perspectives on the relationship between pattern recognition and computational geometry Numerous experimental problems to encourage practical applications With its comprehensive coverage of two timely fields, enhanced with many references and real-world examples, Random Graphs for Statistical Pattern Recognition is a valuable resource for industry professionals and students alike.
Tutorial Guides in Computing and Information Systems Series Editors Professor David Howe, De Montfort University Dr ... A Beginner's Guide David Rann, John Turner and Jenny Whitworth Introduction to C++ David Dench and Brian Prior Human ...
Author: DEXTER J. BOOTH
Publisher: Springer
ISBN: 9781489971142
Category: Computers
Page: 306
View: 569
To accomplish this, we needed to use a trick based on discrete mathematics. The trick is to check the result of the Modulo 2 operation, which in MATLAB is calculated using the mod function.
Author: George Siogkas
Publisher: Packt Publishing Ltd
ISBN: 9781849697217
Category: Computers
Page: 326
View: 813
Written in a friendly, Beginner's Guide format, showing the user how to use the digital media aspects of Matlab (image, video, sound) in a practical, tutorial-based style.This is great for novice programmers in any language who would like to use Matlab as a tool for their image and video processing needs, and also comes in handy for photographers or video editors with even less programming experience wanting to find an all-in-one tool for their tasks.
[KrSh11] M. Krebs and A. Shaheen, Expander Families and Cayley Graphs: A Beginner's Guide, Oxford University Press, 2011. [Lo72] L. Lovász, "Normal hypergraphs and the perfect graph conjecture", Discrete Mathematics 2 (1972), 253–267.
Author: Kenneth H. Rosen
Publisher: CRC Press
ISBN: 9781351644051
Category: Mathematics
Page: 1612
View: 681
Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
Of additional importance is that the study involved four math and science-related courses (Introduction to ... along with dialog • if recording a traditional lecture, planning it as a series of short, discrete mini-lectures that can be ...
Author: Suzanne Kelton
Publisher: Routledge
ISBN: 9781000282887
Category: Education
Page: 208
View: 188
This practical, engaging book explores the fundamentals of pedagogy and the unique challenges of teaching undergraduate mathematics not commonly addressed in most education literature. Professor and mathematician, Suzanne Kelton offers a straightforward framework for new faculty and graduate students to establish their individual preferences for course policy and content exposition, while alerting them to potential pitfalls. The book discusses the running of day-to-day class meetings and offers specific strategies to improve learning and retention, as well as concrete examples and effective tools for class discussion that draw from a variety of commonly taught undergraduate mathematics courses. Kelton also offers readers a structured approach to evaluating and honing their own teaching skills, as well as utilizing peer and student evaluations. Offering an engaging and clearly written approach designed specifically for mathematicians, A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom offers an artful introduction to teaching undergraduate mathematics in universities and community colleges. This text will be useful for new instructors, faculty, and graduate teaching assistants alike.
Math . Hungar . 21 ( 1986 ) , 149-162 . 9. H. Groemer , Abschätzungen für die Anzahl der Konvexen Körper , die einen konvexen Körper berühren , Monatsh . ... Riemannian geometry : A beginner's guide , Jones & Bartlett ( to appear ) .
Author: Jacob E. Goodman
Publisher: American Mathematical Soc.
ISBN: 0821871013
Category: Mathematics
Page: 378
View: 228
The first DIMACS special year, held during 1989-1990, was devoted to discrete and computational geometry. More than 200 scientists, both long- and short-term visitors, came to DIMACS to participate in the special year activities. Among the highlights were six workshops at Rutgers and Princeton Universities that defined the focus for much of the special year. The workshops addressed the following topics: geometric complexity, probabilistic methods in discrete and computational geometry, polytopes and convex sets, arrangements, and algebraic and practical issues in geometric computation. This volume presents some of the results growing out of the workshops and the special year activities. Containing both survey articles and research papers, this collection presents an excellent overview of significant recent progress in discrete and computational geometry. The diversity of these papers demonstrate how geometry continues to provide a vital source of ideas in theoretical computer science and discrete mathematics as well as fertile ground for interaction and simulation between the two disciplines.
Author: Willard Van Orman Quine
Publisher:
ISBN: OCLC:28834280
Category:
Page: 263
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[62] K. Rosen, Discrete mathematics and its applications (McGraw–Hill Inc., 4 ed., 1999). [63] G. Rossum, 'Python reference ... [70] R. M. Smullyan, A beginner's guide to mathematical logic (Dover Publications, Inc., Mineola, NY, 2014).
Author: Menny Aka
Publisher: Springer Nature
ISBN: 9783030552336
Category: Mathematics
Page: 344
View: 122
This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from solving different equations, leading to (abstract) algebra. Along this journey, the reader will be exposed to important ideas of mathematics, and will learn a little about how mathematics is really done. Starting at an elementary level, the book gradually eases the reader into the complexities of higher mathematics; in particular, the formal structure of mathematical writing (definitions, theorems and proofs) is introduced in simple terms. The book covers a range of topics, from the very foundations (numbers, set theory) to basic abstract algebra (groups, rings, fields), driven throughout by the need to understand concrete equations and problems, such as determining which numbers are sums of squares. Some topics usually reserved for a more advanced audience, such as Eisenstein integers or quadratic reciprocity, are lucidly presented in an accessible way. The book also introduces the reader to open source software for computations, to enhance understanding of the material and nurture basic programming skills. For the more adventurous, a number of Outlooks included in the text offer a glimpse of possible mathematical excursions. This book supports readers in transition from high school to university mathematics, and will also benefit university students keen to explore the beginnings of algebraic number theory. It can be read either on its own or as a supporting text for first courses in algebra or number theory, and can also be used for a topics course on Diophantine equations.
He runs a puzzle blog at www.wa1729.blogspot.com and has submitted puzzles to Grandmaster Puzzles and Logic Masters India. He recently wrote the iBook A Beginner's Guide to Logic Puzzles. Barry A. Balof is a professor of mathematics at ...
Author: Jennifer Beineke
Publisher: Princeton University Press
ISBN: 9780691194417
Category: Mathematics
Page: 352
View: 144
The history of mathematics is replete with examples of major breakthroughs resulting from solutions to recreational problems. The modern theory of probability arose out of problems of concern to gamblers, for example, and modern combinatorics grew out of various games and puzzles. Despite this track record and a wealth of popular-level books, there remain few conduits for research in recreational mathematics. The Mathematics of Various Entertaining Subjects now returns with an all-new third volume, presenting new research in diverse areas of recreational mathematics. This volume focuses on four areas: puzzles and brainteasers, games, algebra and number theory, and geometry and topology. Readers will create Spiral Galaxies, Japanese symmetric grid puzzles consisting of squares and circles whose solutions are letters and numbers; delve into a paradox in the game of Bingo; examine the card tricks of mathematician-philosopher Charles Sanders Peirce; learn about the mathematics behind Legos; and much more. Elucidating the many connections between mathematics and games, The Mathematics of Various Entertaining Subjects is sure to challenge and inspire mathematicians and math enthusiasts.
From the reviews of the first edition: "This book is valuable, for it addresses with care and rigor the relevance of a variety of mathematical topics t o a real-world problem. ...This book is well written.
Author: Timothy G. Feeman
Publisher: Springer
ISBN: 9783319226651
Category: Mathematics
Page: 197
View: 551
The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on magnetic resonance imaging focuses on manipulation of the Bloch equation, the system of differential equations that is the foundation of this important technology. Extending the ideas of the acclaimed first edition, new material has been adeed to render an even more accessible textbook for course usage. This edition includes new discussions of the Radon transform, the Dirac delta function and its role in X-ray imaging, Kacmarz's method and least squares approximation, spectral filtering, and more. Copious examples and exercises, new computer-based exercises, and additional graphics have been added to further delineate concepts. The use of technology has been revamped throughout with the incorporation of the open source programming environment R to illustrate examples and composition of graphics. All R code is available as extra source material on SpringerLink. From the reviews of the first edition: "This book is valuable, for it addresses with care and rigor the relevance of a variety of mathematical topics to a real-world problem. ...T his book is well written. It serves its purpose of focusing a variety of mathematical topics onto a real-world application that is in its essence mathematics." –The Journal of Nuclear Medicine, Vol. 51 (12), December, 2010 "This new book by Timothy Feeman, truly intended to be a beginner's guide, makes the subject accessible to undergraduates with a working knowledge of multivariable calculus and some experience with vectors and matrix methods. ...author handles the material with clarity and grace..." –The Mathematical Association of America, February, 2010
J. Discrete Math. Sci. Crypt. ... J. Graph Theory 6, 429–439 (1982) 30. Y. Shi, Some theorems of uniquely pancyclic graphs. Discrete Math. 59, 167–180 (1986) 31. ... W.D. Wallis, A Beginner's Guide to Graph Theory, 2nd edn.
Author: John C. George
Publisher: Springer
ISBN: 9783319319513
Category: Mathematics
Page: 108
View: 554
This book is focused on pancyclic and bipancyclic graphs and is geared toward researchers and graduate students in graph theory. Readers should be familiar with the basic concepts of graph theory, the definitions of a graph and of a cycle. Pancyclic graphs contain cycles of all possible lengths from three up to the number of vertices in the graph. Bipartite graphs contain only cycles of even lengths, a bipancyclic graph is defined to be a bipartite graph with cycles of every even size from 4 vertices up to the number of vertices in the graph. Cutting edge research and fundamental results on pancyclic and bipartite graphs from a wide range of journal articles and conference proceedings are composed in this book to create a standalone presentation. The following questions are highlighted through the book: - What is the smallest possible number of edges in a pancyclic graph with v vertices? - When do pancyclic graphs exist with exactly one cycle of every possible length? - What is the smallest possible number of edges in a bipartite graph with v vertices? - When do bipartite graphs exist with exactly one cycle of every possible length?
Discrete Comput. Geom. ... Discrete Math. 290(2–3), 221–228 (2005). MR2123391 (2005i:52017) H. Martini, K.J. Swanepoel, Low-degree minimal ... Math. Intell. 14, 37–44 (1992) F. Morgan, Riemannian Geometry, A Beginner's Guide, 2nd edn.
Author: Gergely Ambrus
Publisher: Springer
ISBN: 9783662574133
Category: Mathematics
Page: 458
View: 191
This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.
Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way.
Author: Steven Krantz
Publisher: Mcgraw-hill
ISBN: 007154948X
Category: Mathematics
Page: 364
View: 743
MULTIPLY your chances of understanding DISCRETE MATHEMATICS If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts. Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning. This fast and easy guide offers: Numerous figures to illustrate key concepts Sample problems with worked solutions Coverage of set theory, graph theory, and number theory Chapters on cryptography and Boolean algebra A time-saving approach to performing better on an exam or at work Simple enough for a beginner, but challenging enough for an advanced student, Discrete Mathematics Demystified is your integral tool for mastering this complex subject.
This brief introductory chapter demonstrates the power of Combinatorica for exploring discrete mathematics. With over 450 functions, Combinatorica can be somewhat overwhelming for beginners. Here we give brief examples of some of its ...
Author: Sriram Pemmaraju
Publisher: Cambridge University Press
ISBN: 9781107268715
Category: Computers
Page:
View: 774
This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enough discussion to understand and appreciate all the algorithms and theorems it contains.
In statistics , the primary use of orthogonal arrays is in designing experiments , and are thus important in all ... There is some irony in seeing one whose training appears to be in pure math write what seems to be a definitive guide ...
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ISBN: UOM:39015081370234
Category: Mathematics
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A Beginners Guide To Discrete Mathematics Pdf
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