Loose Leaf Version for Discrete Mathematics and Its Application


Author: Kenneth Rosen
Publisher: McGraw-Hill Education
ISBN: 9780077431440
Category: Mathematics
Page: 903
View: 6155

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Discrete Mathematics and its Applications, Seventh 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 500 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 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.

Mathematical Morphology and Its Application to Signal and Image Processing

9th International Symposium on Mathematical Morphology, ISMM 2009 Groningen, The Netherlands, August 24-27, 2009 Proceedings
Author: Michael H. F. Wilkinson,Jos B.T.M. Roerdink
Publisher: Springer
ISBN: 3642036139
Category: Computers
Page: 321
View: 2159

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The 9th ISMM conference covered a very diverse collection of papers, bound together by the central themes of mathematical morphology, namely, the tre- ment of images in terms of set and lattice theory. Notwithstanding this central theme, this ISMM showed increasing interaction with other ?elds of image and signal processing, and several hybrid methods were presented, which combine the strengths of traditional morphological methods with those of, for example, linear ?ltering.This trendis particularlystrong in the emerging?eld of adaptive morphological ?ltering, where the local shape of structuring elements is det- mined by non-morphological techniques. This builds on previous developments of PDE-based methods in morphology and amoebas. In segmentation we see similar advancements, in the development of morphological active contours. Even within morphology itself, diversi?cation is great, and many new areas of research are being opened up. In particular, morphology of graph-based and complex-based image representations are being explored. Likewise, in the we- established area of connected ?ltering we ?nd new theory and new algorithms, but also expansion into the direction of hyperconnected ?lters. New advances in morphological machine learning, multi-valued and fuzzy morphology are also presented. Notwithstanding the often highly theoretical reputation of mathematical morphology, practitioners in this ?eld have always had an eye for the practical.

Computational Thinking in the STEM Disciplines

Foundations and Research Highlights
Author: Myint Swe Khine
Publisher: Springer
ISBN: 3319935666
Category: Education
Page: 325
View: 1308

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This book covers studies of computational thinking related to linking, infusing, and embedding computational thinking elements to school curricula, teacher education and STEM related subjects. Presenting the distinguished and exemplary works by educators and researchers in the field highlighting the contemporary trends and issues, creative and unique approaches, innovative methods, frameworks, pedagogies and theoretical and practical aspects in computational thinking. A decade ago the notion of computational thinking was introduced by Jeannette Wing and envisioned that computational thinking will be a fundamental skill that complements to reading, writing and arithmetic for everyone and represents a universally applicable attitude. The computational thinking is considered a thought processes involved in a way of solving problems, designing systems, and understanding human behaviour. Assimilating computational thinking at young age will assist them to enhance problem solving skills, improve logical reasoning, and advance analytical ability - key attributes to succeed in the 21st century. Educators around the world are investing their relentless effort in equipping the young generation with real-world skills ready for the demand and challenges of the future. It is commonly believed that computational thinking will play a pivotal and dominant role in this endeavour. Wide-ranging research on and application of computational thinking in education have been emerged in the last ten years. This book will document attempts to conduct systematic, prodigious and multidisciplinary research in computational thinking and present their findings and accomplishments.

Mathematics Masterclasses

Stretching the Imagination
Author: Michael J. Sewell
Publisher: Oxford University Press on Demand
ISBN: 9780198514947
Category: Mathematics
Page: 233
View: 4320

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This is a valuable resource of non-syllabus material for mathematics in school education and science teachers at secondary school level, teenagers and parents. It contains written versions of Royal Institution masterclasses on a wide selection of topics in pure and applied mathematics, and very little knowledge is assumed. Topics include chaos theory, meteorology, storage limitations of computers, population growth and decay, and the mechanics of dinosaurs. This book shows that mathematics can be fun!

Discrete Mathematics and Its Applications


Author: M. Sethumadhavan
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173197314
Category: Mathematics
Page: 233
View: 8999

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Discrete Mathematics and its Applications provides an in-depth review of recent applications in the area and points to the directions of research. It deals with a wide range of topics like Cryptology Graph Theory Fuzzy Topology Computer Science Mathematical Biology A resource for researchers to keep track of the latest developments in these topics. Of interest to graph theorists, computer scientists, cryptographers, security specialists.

Discrete Mathematics for Computing


Author: Rod Haggarty
Publisher: Editorial Dunken
ISBN: 9780201730470
Category: Computers
Page: 235
View: 5039

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This book is a short, concise introduction to key mathematical ideas for computing students which develops their understanding of discrete mathematics and its application in computing. The topics are presented in a well defined, logical order that build upon each other and are constantly reinforced by worked examples. Reliance on students' previous mathematical experience is kept to a minimum, though some basic algebraic manipulation is required. This book is appropriate for CS and Math students in an undergraduate Discrete Math course. The content constitutes an accepted core of mathematics for computer scientists (for example, the formal methods used in computer science draw heavily on the discrete methematical concepts covered here, particularly logic, sets, relations and functions). Emphasis is placed on clear and careful explanations of basic ideas and on building confidence in developing mathematical competence through carefully selected exercises. All chapters conclude with short applications/case studies relevant to computing, which provide further motivation to engage with the mathematical ideas involved, and also demonstrate how the mathematics can be applied in a computing context.

Modern Discrete Mathematics and Analysis

With Applications in Cryptography, Information Systems and Modeling
Author: Nicholas J. Daras,Themistocles M. Rassias
Publisher: Springer
ISBN: 3319743252
Category: Mathematics
Page: 521
View: 8255

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A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

Applied Geometry and Discrete Mathematics

The Victor Klee Festschrift
Author: Peter Gritzmann,Bernd Sturmfels,Victor Klee
Publisher: American Mathematical Soc.
ISBN: 9780821870839
Category: Mathematics
Page: 608
View: 988

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This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's 65th birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics, education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honour of Klee's achievements, this volume presents more than 40 papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, this book shows how different branches of mathematics interact. It is a fitting tribute to one of the leading figures in discrete mathematics.

Mathematical structures for software engineering

based on the proceedings of a conference organized by the Systems and Software Engineering Specialist Group of the Institute of Mathematics and Its Applications held at Manchester Polytechnic in July 1988
Author: Bernard De Neumann,Dan Simpson,Gil Slater,Institute of Mathematics and Its Applications. Systems and Software Engineering Specialist Group
Publisher: Oxford University Press, USA
ISBN: 9780198536277
Category: Science
Page: 355
View: 5451

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This volume is concerned with the application of formal mathematical methods in software engineering. As the design, writing and testing of software becomes a major sector of economic activity, the need for rigorous techniques has also grown. The papers in this book are devoted to various mathematical structures which find use in aspects of software design, and they cover topics such as the formal specification of systems, the design of communications software, and concurrent processing. All the contributors are experts in their respective fields. As a result, this collection provides a timely survey of this rapidly growing area. Software engineers and computer scientists will find this work to be an invaluable reference source. Mathematicians will appreciate the discussions of the contribution that their discipline can make and the interesting challenges for the future.

Discrete Mathematics with Applications


Author: Susanna S. Epp
Publisher: Cengage Learning
ISBN: 0495391328
Category: Mathematics
Page: 984
View: 888

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Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Intelligent Decision Support - Intelligente Entscheidungsunterstützung

Current Challenges and Approaches - Aktuelle Herausforderungen und Lösungsansätze
Author: Dr. Andreas Bortfeldt,Prof. Dr. Jörg Homberger,Prof. Dr. Herbert Kopfer,Giselher Pankratz,Dr. Reinhard Strangmeier
Publisher: Springer Science & Business Media
ISBN: 9783834997777
Category: Business & Economics
Page: 521
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Der Sammelband vereinigt Beiträge von über 50 Autorinnen und Autoren aus Wirtschaftswissenschaft, Informatik und Mathematik zu aktuellen und grund¬legenden Problemen und Lösungsansätzen der intelligenten Entscheidungs¬unterstützung in Unternehmen und erscheint zum 65. Geburtstag von Hermann Gehring, Professor für Wirtschaftsinformatik an der FernUniversität in Hagen.

The Concentration of Measure Phenomenon


Author: Michel Ledoux
Publisher: American Mathematical Soc.
ISBN: 0821837923
Category: Mathematics
Page: 181
View: 2911

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It was undoubtedly a necessary task to collect all the results on the concentration of measure during the past years in a monograph. The author did this very successfully and the book is an important contribution to the topic. It will surely influence further research in this area considerably. The book is very well written, and it was a great pleasure for the reviewer to read it. --Mathematical Reviews The observation of the concentration of measure phenomenon is inspired by isoperimetric inequalities. A familiar example is the way the uniform measure on the standard sphere $S^n$ becomes concentrated around the equator as the dimension gets large. This property may be interpreted in terms of functions on the sphere with small oscillations, an idea going back to Levy. The phenomenon also occurs in probability, as a version of the law of large numbers, due to Emile Borel. This book offers the basic techniques and examples of the concentration of measure phenomenon. The concentration of measure phenomenon was put forward in the early seventies by V. Milman in the asymptotic geometry of Banach spaces. It is of powerful interest in applications in various areas, such as geometry, functional analysis and infinite-dimensional integration, discrete mathematics and complexity theory, and probability theory. Particular emphasis is on geometric, functional, and probabilistic tools to reach and describe measure concentration in a number of settings. The book presents concentration functions and inequalities, isoperimetric and functional examples, spectrum and topological applications, product measures, entropic and transportation methods, as well as aspects of M. Talagrand's deep investigation of concentration in product spaces and its application in discrete mathematics and probability theory, supremum of Gaussian and empirical processes, spin glass, random matrices, etc. Prerequisites are a basic background in measure theory, functional analysis, and probability theory.

Discrete Mathematics with Applications


Author: Thomas Koshy
Publisher: Elsevier
ISBN: 9780080477343
Category: Mathematics
Page: 1042
View: 6200

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This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations * Weaves numerous applications into the text * Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects * Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises * Features interesting anecdotes and biographies of 60 mathematicians and computer scientists * Instructor's Manual available for adopters * Student Solutions Manual available separately for purchase (ISBN: 0124211828)

Advances on Computer Mathematics and Its Applications


Author: Elias A. Lipitakis
Publisher: World Scientific
ISBN: 9789810212926
Category: Computers
Page: 373
View: 9464

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This volume contains selected papers of the proceedings of the first Hellenic Conference on Mathematics and Informatics (HERMIS '92). The main theme for HERMIS '92 Conference was Computer Mathematics, with special emphasis on Computational Mathematics, Operational Research and Statistics, and Mathematics in Economic Science. The presented papers of the HERMIS Conference have been classified into the following technical sessions: Numerical solution of Differential Equations, Parallel Processing and Parallel Algorithms, Optimization and Approximation, Algorithms in Operational Research and Control Theory, Statistical Methods and Analysis, Mathematics in Economic Science, Artificial Intelligence and Data Bases Technology.In addition, a number of selected research articles published recently in the Hellenic Mathematical Society Bulletin in the form of special issues on Computer Mathematics (Volumes 31 and 32) are also included.

Number Theory and Discrete Mathematics


Author: Ashok K. Agarwal,B. C. Berndt,C. F. Krattenthaler
Publisher: Springer Science & Business Media
ISBN: 9783764367206
Category: Computers
Page: 314
View: 687

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This volume contains the proceedings of this conference and collects 29 articles written by some of the leading specialists worldwide. Most of the papers describe recent trends and problems--their current status, as well as historical backgrounds. (Midwest).