A Beginner S Guide To Discrete Mathematics
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A Beginner S Guide To Discrete Mathematics
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Author : W. D. Wallis
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
A Beginner S Guide To Discrete Mathematics written by W. D. Wallis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computers categories.
This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. Lists are presented as an example of data structures. An introduction to counting includes the Binomial Theorem and mathematical induction, which serves as a starting point for a brief study of recursion. The basics of probability theory are then covered.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. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, e.g., Euclidean algorithm, Fermat's Little Theorem.Good examples occur throughout. At the end of every section there are two problem sets of equal difficulty. However, solutions are only given to the first set. References and index conclude the work.A math course at the college level is required to handle this text. College algebra would be the most helpful.
A Beginner S Guide To Discrete Mathematics
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Author : W.D. Wallis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
A Beginner S Guide To Discrete Mathematics written by W.D. Wallis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This text is a basic introduction to those areas of discrete mathematics used by stu dents of mathematics and computer science. Introductory courses on this material are now standard at many colleges and universities. Usually these courses are of one semester's duration, and usually they are offered at the sophomore level. Very often this will be the first course where the students see several real proofs. The preparation of the students is very mixed, and one cannot assume a strong back ground. In particular, the instructor should not assume that the students have seen a linear algebra course, or any introduction to number systems that goes beyond college algebra. In view of this, I have tried to avoid too much sophistication, while still re taining rigor. I hope I have included enough problems so that the student can reinforce the concepts. Most of the problems are quite easy, with just a few dif ficult exercises scattered through the text. If the class is weak, a small number of sections will be too hard, while the instructor who has a strong class will need to include some supplementary material. I think this is preferable to a book at a higher mathematical level, which will scare away weaker students.
A Beginner S Guide To Finite Mathematics
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Author : W.D. Wallis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
A Beginner S Guide To Finite Mathematics written by W.D. Wallis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Mathematics categories.
When elementary courses in discrete and combinatorial mathematics first became popular, they usually covered a broad spectrumofpure and applied topics. Most of the students were in Mathematics and Computer Science, with a handful ofbrave souls from other disciplines. Those other students usually found the courses quite difficult. However, the applications were useful in a numberofareas. The teaching of discrete topics has evolved into two streams. The more math ematical parts are studied in courses called Discrete Mathematics, and more ad vanced, more rigorous courses called Combinatorics, or named for specific areas (Graph Theory, Combinatorial Designs, Cryptography, and so on). Introductions to those areas of applicable discrete mathematics used by students in business, management and the social sciences are usually called Finite Mathematics, and e1ementary courses on this material are now standard at many colleges and uni versities.These courses are typically offered at the freshman level although many students take them later in their careers.
Discrete Mathematics
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Author : Oscar Levin
language : en
Publisher:
Release Date : 2016-08-16
Discrete Mathematics written by Oscar Levin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with categories.
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. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. 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. Update: as of July 2017, this 2nd edition has been updated, correcting numerous typos and a few mathematical errors. Pagination is almost identical to the earlier printing of the 2nd edition. For a list of changes, see the book's website: http: //discretetext.oscarlevin.com
A Beginner S Guide To Graph Theory
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Author : W.D. Wallis
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-05
A Beginner S Guide To Graph Theory written by W.D. Wallis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-05 with Mathematics categories.
Graph theory continues to be one of the fastest growing areas of modern mathematics because of its wide applicability in such diverse disciplines as computer science, engineering, chemistry, management science, social science, and resource planning. Graphs arise as mathematical models in these fields, and the theory of graphs provides a spectrum of methods of proof. This concisely written textbook is intended for an introductory course in graph theory for undergraduate mathematics majors or advanced undergraduate and graduate students from the many fields that benefit from graph-theoretic applications. This second edition includes new chapters on labeling and communications networks and small-worlds, as well as expanded beginner's material in the early chapters, including more examples, exercises, hints and solutions to key problems. Many additional changes, improvements, and corrections resulting from classroom use and feedback have been added throughout. With a distinctly applied flavor, this gentle introduction to graph theory consists of carefully chosen topics to develop graph-theoretic reasoning for a mixed audience. Familiarity with the basic concepts of set theory, along with some background in matrices and algebra, and a little mathematical maturity are the only prerequisites.
A Beginner S Guide To Discrete Mathematics
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Author :
language : en
Publisher:
Release Date : 2011-10-08
A Beginner S Guide To Discrete Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-08 with categories.
The Mathematics Of Medical Imaging
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Author : Timothy G. Feeman
language : en
Publisher: Springer Science & Business Media
Release Date : 2010
The Mathematics Of Medical Imaging written by Timothy G. Feeman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
Medical imaging is a major part of twenty-first century health care. This introduction explores the mathematical aspects of imaging in medicine to explain approximation methods in addition to computer implementation of inversion algorithms.
Introductory Discrete Mathematics
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Author : V. K. Balakrishnan
language : en
Publisher: Courier Corporation
Release Date : 1996-01-01
Introductory Discrete Mathematics written by V. K. Balakrishnan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.
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.
Discrete Mathematics With Proof
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Author : Eric Gossett
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-22
Discrete Mathematics With Proof written by Eric Gossett and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-22 with Mathematics categories.
A Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. The book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the Second Edition include: An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs New sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution Important examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases Numerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem Extensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics.
Schaum S Easy Outline Of Discrete Mathematics
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Author : Seymour Lipschutz
language : en
Publisher: McGraw Hill Professional
Release Date : 2002-08-12
Schaum S Easy Outline Of Discrete Mathematics written by Seymour Lipschutz and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-12 with Mathematics categories.
Boiled-down essentials of the top-selling Schaum's Outline series for the student with limited time What could be better than the bestselling Schaum's Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum's Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form. Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials. Designed to appeal to underprepared students and readers turned off by dense text Cartoons, sidebars, icons, and other graphic pointers get the material across fast Concise text focuses on the essence of the subject Delivers expert help from teachers who are authorities in their fields Perfect for last-minute test preparation So small and light that they fit in a backpack!