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Applications Of Abstract Algebra With Maple And Matlab
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Book Synopsis Applications of Abstract Algebra with Maple and MATLAB, Second Edition by : Richard Klima
Download or read book Applications of Abstract Algebra with Maple and MATLAB, Second Edition written by Richard Klima and published by CRC Press. This book was released on 2006-07-12 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eliminating the need for heavy number-crunching, sophisticated mathematical software packages open the door to areas like cryptography, coding theory, and combinatorics that are dependent on abstract algebra. Applications of Abstract Algebra with Maple and MATLAB®, Second Edition explores these topics and shows how to apply the software programs to abstract algebra and its related fields. Carefully integrating MapleTM and MATLAB®, this book provides an in-depth introduction to real-world abstract algebraic problems. The first chapter offers a concise and comprehensive review of prerequisite advanced mathematics. The next several chapters examine block designs, coding theory, and cryptography while the final chapters cover counting techniques, including Pólya's and Burnside's theorems. Other topics discussed include the Rivest, Shamir, and Adleman (RSA) cryptosystem, digital signatures, primes for security, and elliptic curve cryptosystems. New to the Second Edition Three new chapters on Vigenère ciphers, the Advanced Encryption Standard (AES), and graph theory as well as new MATLAB and Maple sections Expanded exercises and additional research exercises Maple and MATLAB files and functions available for download online and from a CD-ROM With the incorporation of MATLAB, this second edition further illuminates the topics discussed by eliminating extensive computations of abstract algebraic techniques. The clear organization of the book as well as the inclusion of two of the most respected mathematical software packages available make the book a useful tool for students, mathematicians, and computer scientists.
Book Synopsis Applications of Abstract Algebra with MAPLE by : Richard Klima
Download or read book Applications of Abstract Algebra with MAPLE written by Richard Klima and published by CRC Press. This book was released on 1999-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical concepts of abstract algebra may indeed be considered abstract, but its utility is quite concrete and continues to grow in importance. Unfortunately, the practical application of abstract algebra typically involves extensive and cumbersome calculations-often frustrating even the most dedicated attempts to appreciate and employ its intricacies. Now, however, sophisticated mathematical software packages help obviate the need for heavy number-crunching and make fields dependent on the algebra more interesting-and more accessible. Applications of Abstract Algebra with Maple opens the door to cryptography, coding, Polya counting theory, and the many other areas dependent on abstract algebra. The authors have carefully integrated Maple V throughout the text, enabling readers to see realistic examples of the topics discussed without struggling with the computations. But the book stands well on its own if the reader does not have access to the software. The text includes a first-chapter review of the mathematics required-groups, rings, and finite fields-and a Maple tutorial in the appendix along with detailed treatments of coding, cryptography, and Polya theory applications. Applications of Abstract Algebra with Maple packs a double punch for those interested in beginning-or advancing-careers related to the applications of abstract algebra. It not only provides an in-depth introduction to the fascinating, real-world problems to which the algebra applies, it offers readers the opportunity to gain experience in using one of the leading and most respected mathematical software packages available.
Book Synopsis Applied Abstract Algebra with MapleTM and MATLAB by : Richard Klima
Download or read book Applied Abstract Algebra with MapleTM and MATLAB written by Richard Klima and published by CRC Press. This book was released on 2015-11-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Abstract Algebra with MapleTM and MATLAB provides an in-depth introduction to real-world abstract algebraic problems. This popular textbook covers a variety of topics including block designs, coding theory, cryptography, and counting techniques, including Polya's and Burnside's theorems. The book also includes a concise review of all prereq
Book Synopsis Numerical Linear Algebra with Applications by : William Ford
Download or read book Numerical Linear Algebra with Applications written by William Ford and published by Academic Press. This book was released on 2014-09-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs. This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica. Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra Detailed explanations and examples A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra Examples from engineering and science applications
Book Synopsis Abstract Algebra by : Jonathan K. Hodge
Download or read book Abstract Algebra written by Jonathan K. Hodge and published by CRC Press. This book was released on 2013-12-21 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text. Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.
Book Synopsis Advanced Linear Algebra for Engineers with MATLAB by : Sohail A. Dianat
Download or read book Advanced Linear Algebra for Engineers with MATLAB written by Sohail A. Dianat and published by CRC Press. This book was released on 2017-12-19 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences. Facilitating a unique understanding of rapidly evolving linear algebra and matrix methods, this book: Outlines the basic concepts and definitions behind matrices, matrix algebra, elementary matrix operations, and matrix partitions, describing their potential use in signal and image processing applications Introduces concepts of determinants, inverses, and their use in solving linear equations that result from electrical and mechanical-type systems Presents special matrices, linear vector spaces, and fundamental principles of orthogonality, using an appropriate blend of abstract and concrete examples and then discussing associated applications to enhance readers’ visualization of presented concepts Discusses linear operators, eigenvalues, and eigenvectors, and explores their use in matrix diagonalization and singular value decomposition Extends presented concepts to define matrix polynomials and compute functions using several well-known methods, such as Sylvester’s expansion and Cayley-Hamilton Introduces state space analysis and modeling techniques for discrete and continuous linear systems, and explores applications in control and electromechanical systems, to provide a complete solution for the state space equation Shows readers how to solve engineering problems using least square, weighted least square, and total least square techniques Offers a rich selection of exercises and MATLAB® assignments that build a platform to enhance readers’ understanding of the material Striking the appropriate balance between theory and real-life applications, this book provides both advanced students and professionals in the field with a valuable reference that they will continually consult.
Download or read book Matlab written by Will Chavez and published by Scientific e-Resources. This book was released on 2019-10-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many features of this book are designed to emphasize the proper way to write reliable MATLAB programs. These features should serve a student well when he or she is first learning MATLAB, and they should also be useful to the practitioner on the job. They include 1. Emphasis on Top-Down Design Methodology- The book introduces a top-down design methodology in Chapter 3, and uses it consistently throughout the rest of the book. This methodology encourages a student to think about the proper design of a program before beginning to code. It emphasizes the importance of clearly defining the problem to be solved and the required inputs and outputs before any other work is begun. Once the problem has been properly defined, it teaches the student to employ stepwise refinement to break the task down into successively smaller sub-tasks and to implement the subtasks as separate subroutines or functions. Finally, it teaches the importance of testing at all stages of the process-both unit testing of the component routines and exhaustive testing of the final product. The formal design process taught by the book may be summarized as follows: i. Clearly state the problem that you are trying to solve. ii. Define the inputs required by the program and the outputs to be produced by the program. iii. Describe the algorithm that you intend to implement in the program. This step involves top-down design and stepwise decomposition, using pseudocode or flow charts. iv. Turn the algorithm into MATLAB statements. v. Test the MATLAB program. This step includes unit testing of specific functions as well as exhaustive testing of the final program with many different data sets. 2. Emphasis on Functions- The book emphasizes the use of functions to logically decompose tasks into smaller sub-tasks. It teaches the advantages of functions for data hiding. It also emphasizes the importance of unit testing functions before they are combined into the final program. In addition, the book teaches about the common mistakes made with functions and how to avoid them. 3. Emphasis on MATLAB Tools - The book teaches the proper use of MATLAB's built-in tools to make programming and debugging easier. The tools covered include the Editor / Debugger, the Workspace Browser, the Help Browser, and GUI design tools.
Book Synopsis Modeling of Curves and Surfaces with MATLAB® by : Vladimir Rovenski
Download or read book Modeling of Curves and Surfaces with MATLAB® written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2010-07-03 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.
Book Synopsis Predictions in Time Series Using Regression Models by : Cory Terrell
Download or read book Predictions in Time Series Using Regression Models written by Cory Terrell and published by Scientific e-Resources. This book was released on 2019-09-02 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression methods have been a necessary piece of time arrangement investigation for over a century. As of late, new advancements have made real walks in such territories as non-constant information where a direct model isn't fitting. This book acquaints the peruser with fresher improvements and more assorted regression models and methods for time arrangement examination. Open to any individual who knows about the fundamental present day ideas of factual deduction, Regression Models for Time Series Analysis gives a truly necessary examination of late measurable advancements. Essential among them is the imperative class of models known as summed up straight models (GLM) which gives, under a few conditions, a bound together regression hypothesis reasonable for constant, all out, and check information. The creators stretch out GLM methodology deliberately to time arrangement where the essential and covariate information are both arbitrary and stochastically reliant. They acquaint readers with different regression models created amid the most recent thirty years or somewhere in the vicinity and condense traditional and later outcomes concerning state space models.
Download or read book Linear Algebra written by Larry E. Knop and published by CRC Press. This book was released on 2008-08-28 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google's PageRank. Unlike other texts on the subject, thi
Book Synopsis Non-Linear Differential Equations by : Frankie Murray &
Download or read book Non-Linear Differential Equations written by Frankie Murray & and published by Scientific e-Resources. This book was released on 2019-11-02 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regarding the matter of differential equations a considerable number of rudimentary books have been composed. This book overcomes any issues between rudimentary courses and the examination writing. The essential ideas important to contemplate differential equations - basic focuses and balance, occasional arrangements, invariant sets and invariant manifolds - are examined. Security hypothesis is created beginning with linearisation methods backpedaling to Lyapunov and Poincare. The global direct method is then examined. To acquire more quantitative data the Poincare-Lindstedt method is acquainted with estimated occasional arrangements while in the meantime demonstrating presence by the certain capacity hypothesis. The method of averaging is presented as a general estimation standardization method. The last four sections acquaint the peruser with unwinding motions, bifurcation hypothesis, focus manifolds, disarray in mappings and differential equations, Hamiltonian frameworks (repeat, invariant tori, intermittent arrangements). The book displays the subject material from both the subjective and the quantitative perspective. There are numerous cases to delineate the hypothesis and the peruser ought to have the capacity to begin doing research in the wake of concentrate this book.
Download or read book Multivariate Analysis written by Jude May and published by Scientific e-Resources. This book was released on 2018-07-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: When measuring a few factors on a complex test unit, it is frequently important to break down the factors all the while, as opposed to separate them and think of them as independently. This book Multivariate investigation empowers analysts to investigate the joint execution of such factors and to decide the impact of every factor within the sight of the others. This book gives understudies of every single measurable foundation with both the major and more modern aptitudes important to ace the train. To represent multivariate applications, the creator gives cases and activities in light of fifty-nine genuine informational collections from a wide assortment of logical fields. Here takes a "e;strategies"e; way to deal with his subject, with an accentuation on how understudies and professionals can utilize multivariate investigation, all things considered, circumstances. This book sections like: Cluster analysis; Multidimensional scaling; Correspondence analysis; Biplots.
Book Synopsis Maple V: Mathematics and its Applications by : Robert J. Lopez
Download or read book Maple V: Mathematics and its Applications written by Robert J. Lopez and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Maple Summer Workshop and Symposium, MSWS '94, reflects the growing commu nity of Maple users around the world. This volume contains the contributed papers. A careful inspection of author affiliations will reveal that they come from North America, Europe, and Australia. In fact, fifteen come from the United States, two from Canada, one from Australia, and nine come from Europe. Of European papers, two are from Ger many, two are from the Netherlands, two are from Spain, and one each is from Switzerland, Denmark, and the United Kingdom. More important than the geographical diversity is the intellectual range of the contributions. We begin to see in this collection of works papers in which Maple is used in an increasingly flexible way. For example, there is an application in computer science that uses Maple as a tool to create a new utility. There is an application in abstract algebra where Maple has been used to create new functionalities for computing in a rational function field. There are applications to geometrical optics, digital signal processing, and experimental design.
Download or read book Optimization written by Kyrie Mueller and published by Scientific e-Resources. This book was released on 2019-10-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite-dimensional optimization issues happen all through the numerical sciences. The greater part of these issues can't be explained systematically. This prologue to optimization endeavors to strike a harmony between introduction of scientific hypothesis and improvement of numerical calculations. Expanding on understudies' abilities in math and straight variable based math, the content gives a thorough piece without undue deliberation. Its weight on factual applications will be particularly speaking to graduate understudies of insights and biostatistics. The target group additionally incorporates understudies in connected arithmetic, computational science, software engineering, financial aspects, and material science who need to see thorough math joined with genuine applications. Applications are characterized by their principle useful regions in modern arranging, outline, and control. The fields secured are machine sequencing, stock control and planning, plant recharging, conveyance, money related issues, and compound process control and outline. These last two, specifically, are subjects frequently ignored in operations examine educational program. In each field the place and status of optimization methods is first portrayed and afterward an extensive variety of sensible contextual analyses and cases are looked into, a considerable lot of them universal.
Book Synopsis Handbook of Finite State Based Models and Applications by : Jiacun Wang
Download or read book Handbook of Finite State Based Models and Applications written by Jiacun Wang and published by CRC Press. This book was released on 2016-04-19 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a complete collection of introductory materials on fini
Book Synopsis Handbook of Linear Algebra by : Leslie Hogben
Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2006-11-02 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl
