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Discrete Mathematics And Its Applications
Author: Kenneth H. Rosen
Publisher: Tata McGraw-Hill Education
Release Date: 2012
Pages:
ISBN:
Available Language: English, Spanish, And French
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Discrete Mathematics
Author: T. Veerarajan
Publisher: Tata McGraw-Hill Education
Release Date: 2006-06-01
Pages: 531
ISBN:
Available Language: English, Spanish, And French
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This book contains a judicious mix of concepts and solved examples that make it ideal for the beginners taking the Discrete Mathematics course. Features Exhaustive coverage of Set Theory. Comprehensive coverage of Graph Theory and Combinatorics. Excellent discussion of Group theory applications-Coding. Detailed explanation of the solution procedure of the worked examples. Pedagogy includes 341 solved examples 566 short answer questions 556 descriptive questions Over 500 figures and tables

Discrete Mathematics Using A Computer
Author: Cordelia Hall
Publisher: Springer Science & Business Media
Release Date: 2013-04-17
Pages: 339
ISBN:
Available Language: English, Spanish, And French
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Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.

Discrete Mathematics
Author: Norman L. Biggs
Publisher: Oxford University Press
Release Date: 2002-12-19
Pages: 425
ISBN:
Available Language: English, Spanish, And French
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Discrete mathematics is a compulsory subject for undergraduate computer scientists. This new edition includes new chapters on statements and proof, logical framework, natural numbers and the integers and updated exercises from the previous edition.

Graph Theory And Its Applications  Second Edition
Author: Jonathan L. Gross
Publisher: CRC Press
Release Date: 1998-12-30
Pages: 600
ISBN:
Available Language: English, Spanish, And French
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Interest in graphs and their applications has grown tremendously in recent years-largely due to the usefulness of graphs as models for computation and optimization. This comprehensive, applications-driven text provides a fresh and accessible approach suitable for several different courses in graph theory. Written for graduate and advanced undergraduate students, for self-study, and as a reference for working professionals, it covers a wide range of topics in algorithmic, combinatorial, and topological graph theory. The authors present numerous applications and examples designed to stimulate interest in and demonstrate the relevance of new concepts. With its generous use of drawings, streamlined proofs, and concise algorithms, Graph Theory and Its Applications offers a less intimidating treatment of the subject. It also includes more than 1,600 exercises-from routine to challenging-providing a rich source of problems that test your understanding. In this text, the authors succeed in presenting the subject in a cohesive framework that transforms important techniques and analytic tools into a unified mathematical methodology.

A First Look At Graph Theory
Author: Clark John
Publisher: Allied Publishers
Release Date: 1995
Pages: 330
ISBN:
Available Language: English, Spanish, And French
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Decompositions Of Graphs
Author: Juraj Bosak
Publisher: Taylor & Francis
Release Date: 1990-08-31
Pages: 248
ISBN:
Available Language: English, Spanish, And French
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This nice text (twenty years in the writing, published posthumously) would serve well to introduce graduate students (those who can afford it ) to a rich and important class of graph-theoretic problems and concepts. Fifteen short chapters (under three broad topical heads), to each of which are attac

Design Theory
Author: Charles C. Lindner
Publisher: CRC Press
Release Date: 2017-03-27
Pages: 272
ISBN:
Available Language: English, Spanish, And French
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Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics. This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs. The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems. By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.

Topics In Algebraic Graph Theory
Author: Lowell W. Beineke
Publisher: Cambridge University Press
Release Date: 2004-10-04
Pages: 276
ISBN:
Available Language: English, Spanish, And French
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There is no other book with such a wide scope of both areas of algebraic graph theory.

Cryptography
Author: Douglas R. Stinson
Publisher: CRC Press
Release Date: 2002-02-27
Pages: 360
ISBN:
Available Language: English, Spanish, And French
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The Advanced Encryption Standard (AES), elliptic curve DSA, the secure hash algorithm...these and other major advances made in recent years precipitated this comprehensive revision of the standard-setting text and reference, Cryptography: Theory and Practice. Now more tightly focused on the core areas, it contains many additional topics as well as thoroughly updated treatments of topics presented in the first edition. There is increased emphasis on general concepts, but the outstanding features that first made this a bestseller all remain, including its mathematical rigor, numerous examples, pseudocode descriptions of algorithms, and clear, precise explanations. Highlights of the Second Edition: Explains the latest Federal Information Processing Standards, including the Advanced Encryption Standard (AES), the Secure Hash Algorithm (SHA-1), and the Elliptic Curve Digital Signature Algorithm (ECDSA) Uses substitution-permutation networks to introduce block cipher design and analysis concepts Explains both linear and differential cryptanalysis Presents the Random Oracle model for hash functions Addresses semantic security of RSA and Optional Asymmetric Encryption Padding Discusses Wiener's attack on low decryption exponent RSA Overwhelmingly popular and relied upon in its first edition, now, more than ever, Cryptography: Theory and Practice provides an introduction to the field ideal for upper-level students in both mathematics and computer science. More highlights of the Second Edition: Provably secure signature schemes: Full Domain Hash Universal hash families Expanded treatment of message authentication codes More discussions on elliptic curves Lower bounds for the complexity of generic algorithms for the discrete logarithm problem Expanded treatment of factoring algorithms Security definitions for signature schemes

Engineering Mathematics
Author: Srimanta Pal
Publisher:
Release Date: 2015-08-20
Pages: 1036
ISBN:
Available Language: English, Spanish, And French
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Engineering Mathematics is a textbook written for undergraduate students of all streams of engineering. This book covers all the topics taught in mathematics in different semesters in the B.Tech curriculum. It encompasses wide-ranging topics with emphasis on applications to real-world problems.

Hands On Matrix Algebra Using R
Author: Hrishikesh D. Vinod
Publisher: World Scientific
Release Date: 2011
Pages: 329
ISBN:
Available Language: English, Spanish, And French
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Teaches matrix algebra, allowing the student to learn the material by actually working with matrix objects in modern computer environment of R. This book provides an overview of matrix theory without being bogged down in proofs or tedium.

An Introduction To Mathematical Modeling
Author: Edward A. Bender
Publisher: Courier Corporation
Release Date: 2000-03-06
Pages: 256
ISBN:
Available Language: English, Spanish, And French
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Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.

Mathematics Today
Author:
Publisher:
Release Date: 2002
Pages:
ISBN:
Available Language: English, Spanish, And French
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Topology Optimization
Author: Martin Philip Bendsoe
Publisher: Springer Science & Business Media
Release Date: 2003-12-01
Pages: 370
ISBN:
Available Language: English, Spanish, And French
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The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.

Equivalents Of The Riemann Hypothesis
Author: Kevin Broughan
Publisher: Cambridge University Press
Release Date: 2017-11-30
Pages: 488
ISBN:
Available Language: English, Spanish, And French
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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

A Student S Guide To Fourier Transforms
Author: J. F. James
Publisher: Cambridge University Press
Release Date: 2011-03-31
Pages:
ISBN:
Available Language: English, Spanish, And French
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Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.

Modern Graph Theory
Author: Béla Bollobás
Publisher: Springer Science & Business Media
Release Date: 1998
Pages: 394
ISBN:
Available Language: English, Spanish, And French
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An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.

Mathematical Epidemiology
Author: Fred Brauer
Publisher: Springer Science & Business Media
Release Date: 2008-04-30
Pages: 414
ISBN:
Available Language: English, Spanish, And French
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Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).

Elementary Analytic Functions
Author:
Publisher: Bookboon
Release Date:
Pages:
ISBN:
Available Language: English, Spanish, And French
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