Matlab Mathematical Analysis

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MATLAB Mathematical Analysis

Author : Cesar Lopez
Publisher : Apress
ISBN 13 : 1484203496
Total Pages : 356 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis MATLAB Mathematical Analysis by : Cesar Lopez

Download or read book MATLAB Mathematical Analysis written by Cesar Lopez and published by Apress. This book was released on 2014-12-23 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATLAB Mathematical Analysis is a reference book that presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. The purpose is to give you examples of the mathematical analysis functions offered by MATLAB so that you can use them in your daily work regardless of the application. The book supposes proper training in the mathematics and so presents the basic knowledge required to be able to use MATLAB for calculational or symbolic solutions to your problems for a vast amount of MATLAB functions. The book begins by introducing the reader to the use of numbers, operators, variables and functions in the MATLAB environment. Then it delves into working with complex variables. A large section is devoted to working with and developing graphical representations of curves, surfaces and volumes. MATLAB functions allow working with two-dimensional and three-dimensional graphics, statistical graphs, curves and surfaces in explicit, implicit, parametric and polar coordinates. Additional work implements twisted curves, surfaces, meshes, contours, volumes and graphical interpolation. The following part covers limits, functions, continuity and numerical and power series. Then differentiation is addressed in one and several variables including differential theorems for vector fields. Thereafter the topic of integration is handled including improper integrals, definite and indefinite integration, integration in multiple variables and multiple integrals and their applications. Differential equations are exemplified in detail, Laplace transforms, Tayor series, and the Runga-Kutta method and partial differential equations.

Environmental Systems Analysis with MATLAB®

Author : Stefano Marsili-Libelli
Publisher : CRC Press
ISBN 13 : 1498706363
Total Pages : 552 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Environmental Systems Analysis with MATLAB® by : Stefano Marsili-Libelli

Download or read book Environmental Systems Analysis with MATLAB® written by Stefano Marsili-Libelli and published by CRC Press. This book was released on 2016-04-21 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the inner workings of environmental processes using a mathematical approach. Environmental Systems Analysis with MATLAB® combines environmental science concepts and system theory with numerical techniques to provide a better understanding of how our environment works. The book focuses on building mathematical models of environmental systems, and using these models to analyze their behaviors. Designed with the environmental professional in mind, it offers a practical introduction to developing the skills required for managing environmental modeling and data handling. The book follows a logical sequence from the basic steps of model building and data analysis to implementing these concepts into working computer codes, and then on to assessing their results. It describes data processing (rarely considered in environmental analysis); outlines the tools needed to successfully analyze data and develop models, and moves on to real-world problems. The author illustrates in the first four chapters the methodological aspects of environmental systems analysis, and in subsequent chapters applies them to specific environmental concerns. The accompanying software bundle is freely downloadable from the book web site. It follows the chapters sequence and provides a hands-on experience, allowing the reader to reproduce the figures in the text and experiment by varying the problem setting. A basic MATLAB literacy is required to get the most out of the software. Ideal for coursework and self-study, this offering: Deals with the basic concepts of environmental modeling and identification, both from the mechanistic and the data-driven viewpoint Provides a unifying methodological approach to deal with specific aspects of environmental modeling: population dynamics, flow systems, and environmental microbiology Assesses the similarities and the differences of microbial processes in natural and man-made environments Analyzes several aquatic ecosystems’ case studies Presents an application of an extended Streeter & Phelps (S&P) model Describes an ecological method to estimate the bioavailable nutrients in natural waters Considers a lagoon ecosystem from several viewpoints, including modeling and management, and more

Numerical Computing with MATLAB

Author : Cleve B. Moler
Publisher : SIAM
ISBN 13 : 0898716608
Total Pages : 340 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Numerical Computing with MATLAB by : Cleve B. Moler

Download or read book Numerical Computing with MATLAB written by Cleve B. Moler and published by SIAM. This book was released on 2010-08-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

Introduction to Numerical Analysis Using MATLAB®

Author : Butt
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763773762
Total Pages : 836 pages
Book Rating : 4.7/5 (737 download)

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Book Synopsis Introduction to Numerical Analysis Using MATLAB® by : Butt

Download or read book Introduction to Numerical Analysis Using MATLAB® written by Butt and published by Jones & Bartlett Learning. This book was released on 2009-02-17 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. Designed for both courses in numerical analysis and as a reference for practicing engineers and scientists, this book presents the theoretical concepts of numerical analysis and the practical justification of these methods are presented through computer examples with the latest version of MATLAB. The book addresses a variety of questions ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations, with particular emphasis on the stability, accuracy, efficiency and reliability of numerical algorithms. The CD-ROM which accompanies the book includes source code, a numerical toolbox, executables, and simulations.

Introduction to Mathematical Biology

Author : Ching Shan Chou
Publisher : Springer
ISBN 13 : 3319296388
Total Pages : 174 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Introduction to Mathematical Biology by : Ching Shan Chou

Download or read book Introduction to Mathematical Biology written by Ching Shan Chou and published by Springer. This book was released on 2016-04-27 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

MATLAB Programming for Numerical Analysis

Author : Cesar Lopez
Publisher : Apress
ISBN 13 : 1484202953
Total Pages : 238 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis MATLAB Programming for Numerical Analysis by : Cesar Lopez

Download or read book MATLAB Programming for Numerical Analysis written by Cesar Lopez and published by Apress. This book was released on 2014-09-22 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. Programming MATLAB for Numerical Analysis introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. You will first become familiar with the MATLAB environment, and then you will begin to harness the power of MATLAB. You will learn the MATLAB language, starting with an introduction to variables, and how to manipulate numbers, vectors, matrices, arrays and character strings. You will learn about MATLAB’s high-precision capabilities, and how you can use MATLAB to solve problems, making use of arithmetic, relational and logical operators in combination with the common functions and operations of real and complex analysis and linear algebra. You will learn to implement various numerical methods for optimization, interpolation and solving non-linear equations. You will discover how MATLAB can solve problems in differential and integral calculus, both numerically and symbolically, including techniques for solving ordinary and partial differential equations, and how to graph the solutions in brilliant high resolution. You will then expand your knowledge of the MATLAB language by learning how to use commands which enable you to investigate the convergence of sequences and series, and explore continuity and other analytical features of functions in one and several variables.

Intelligent Routines

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
ISBN 13 : 3642284752
Total Pages : 592 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Intelligent Routines by : George A. Anastassiou

Download or read book Intelligent Routines written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2012-07-28 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple. Besides the fundamental theoretical notions, the book contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages. The book is divided into nine chapters, which illustrate the application of the mathematical concepts using the computer. Each chapter presents the fundamental concepts and the elements required to solve the problems contained in that chapter and finishes with some problems left to be solved by the readers. The calculations can be verified by using a specific software such as Matlab, Mathcad, Mathematica or Maple.

MATLAB Symbolic Algebra and Calculus Tools

Author : Cesar Lopez
Publisher : Apress
ISBN 13 : 1484203437
Total Pages : 254 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis MATLAB Symbolic Algebra and Calculus Tools by : Cesar Lopez

Download or read book MATLAB Symbolic Algebra and Calculus Tools written by Cesar Lopez and published by Apress. This book was released on 2014-12-19 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Symbolic Algebra and Calculus Tools introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. Starting with a look at symbolic variables and functions, you will learn how to solve equations in MATLAB, both symbolically and numerically, and how to simplify the results. Extensive coverage of polynomial solutions, inequalities and systems of equations are covered in detail. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful symbolic manipulator which enables you to factorize, expand and simplify complex algebraic expressions over all common fields (including over finite fields and algebraic field extensions of the rational numbers). With MATLAB you can also work with ease in matrix algebra, making use of commands which allow you to find eigenvalues, eigenvectors, determinants, norms and various matrix decompositions, among many other features. Lastly, you will see how you can use MATLAB to explore mathematical analysis, finding limits of sequences and functions, sums of series, integrals, derivatives and solving differential equation.

Programming Mathematics Using MATLAB

Author : Lisa A. Oberbroeckling
Publisher : Academic Press
ISBN 13 : 9780128177990
Total Pages : 0 pages
Book Rating : 4.1/5 (779 download)

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Book Synopsis Programming Mathematics Using MATLAB by : Lisa A. Oberbroeckling

Download or read book Programming Mathematics Using MATLAB written by Lisa A. Oberbroeckling and published by Academic Press. This book was released on 2020-05-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an alternative to engineering-focused resources in the area, Programming Mathematics Using MATLAB® introduces the basics of programming and of using MATLAB® by highlighting many mathematical examples. Emphasizing mathematical concepts through the visualization of programming throughout the book, this useful resource utilizes examples that may be familiar to math students (such as numerical integration) and others that may be new (such as fractals). Additionally, the text uniquely offers a variety of MATLAB® projects, all of which have been class-tested thoroughly, and which enable students to put MATLAB® programming into practice while expanding their comprehension of concepts such as Taylor polynomials and the Gram-Schmidt process. Programming Mathematics Using MATLAB® is appropriate for readers familiar with sophomore-level mathematics (vectors, matrices, multivariable calculus), and is useful for math courses focused on MATLAB® specifically and those focused on mathematical concepts which seek to utilize MATLAB® in the classroom.

Analysis of Computer Networks

Author : Fayez Gebali
Publisher : Springer
ISBN 13 : 3319156578
Total Pages : 604 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Analysis of Computer Networks by : Fayez Gebali

Download or read book Analysis of Computer Networks written by Fayez Gebali and published by Springer. This book was released on 2015-04-01 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the mathematical theory and techniques necessary for analyzing and modeling high-performance global networks, such as the Internet. The three main building blocks of high-performance networks are links, switching equipment connecting the links together and software employed at the end nodes and intermediate switches. This book provides the basic techniques for modeling and analyzing these last two components. Topics covered include, but are not limited to: Markov chains and queuing analysis, traffic modeling, interconnection networks and switch architectures and buffering strategies.

MATLAB Differential and Integral Calculus

Author : Cesar Lopez
Publisher : Apress
ISBN 13 : 1484203046
Total Pages : 220 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis MATLAB Differential and Integral Calculus by : Cesar Lopez

Download or read book MATLAB Differential and Integral Calculus written by Cesar Lopez and published by Apress. This book was released on 2014-10-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Differential and Integral Calculus introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving a short introduction to the MATLAB environment and MATLAB programming, this book provides all the material needed to work with ease in differential and integral calculus in one and several variables. Among other core topics of calculus, you will use MATLAB to investigate convergence, find limits of sequences and series and, for the purpose of exploring continuity, limits of functions. Various kinds of local approximations of functions are introduced, including Taylor and Laurent series. Symbolic and numerical techniques of differentiation and integration are covered with numerous examples, including applications to finding maxima and minima, areas, arc lengths, surface areas and volumes. You will also see how MATLAB can be used to solve problems in vector calculus and how to solve differential and difference equations.

Numerical Methods

Author : George Lindfield
Publisher : Academic Press
ISBN 13 : 0128123702
Total Pages : 610 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Numerical Methods by : George Lindfield

Download or read book Numerical Methods written by George Lindfield and published by Academic Press. This book was released on 2018-10-10 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth edition of Numerical Methods Using MATLAB® provides a clear and rigorous introduction to a wide range of numerical methods that have practical applications. The authors' approach is to integrate MATLAB® with numerical analysis in a way which adds clarity to the numerical analysis and develops familiarity with MATLAB®. MATLAB® graphics and numerical output are used extensively to clarify complex problems and give a deeper understanding of their nature. The text provides an extensive reference providing numerous useful and important numerical algorithms that are implemented in MATLAB® to help researchers analyze a particular outcome. By using MATLAB® it is possible for the readers to tackle some large and difficult problems and deepen and consolidate their understanding of problem solving using numerical methods. Many worked examples are given together with exercises and solutions to illustrate how numerical methods can be used to study problems that have applications in the biosciences, chaos, optimization and many other fields. The text will be a valuable aid to people working in a wide range of fields, such as engineering, science and economics. - Features many numerical algorithms, their fundamental principles, and applications - Includes new sections introducing Simulink, Kalman Filter, Discrete Transforms and Wavelet Analysis - Contains some new problems and examples - Is user-friendly and is written in a conversational and approachable style - Contains over 60 algorithms implemented as MATLAB® functions, and over 100 MATLAB® scripts applying numerical algorithms to specific examples

MATLAB Guide

Author : Desmond J. Higham
Publisher : SIAM
ISBN 13 : 1611974658
Total Pages : 485 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis MATLAB Guide by : Desmond J. Higham

Download or read book MATLAB Guide written by Desmond J. Higham and published by SIAM. This book was released on 2016-12-27 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATLAB is an interactive system for numerical computation that is widely used for teaching and research in industry and academia. It provides a modern programming language and problem solving environment, with powerful data structures, customizable graphics, and easy-to-use editing and debugging tools. This third edition of MATLAB Guide completely revises and updates the best-selling second edition and is more than 30 percent longer. The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox. Key features are a tutorial in Chapter 1 that gives a hands-on overview of MATLAB; a thorough treatment of MATLAB mathematics, including the linear algebra and numerical analysis functions and the differential equation solvers; and a web page at http://www.siam.org/books/ot150 that provides example program files, updates, and links to MATLAB resources. The new edition contains color figures throughout; includes pithy discussions of related topics in new ?Asides" boxes that augment the text; has new chapters on the Parallel Computing Toolbox, object-oriented programming, graphs, and large data sets; covers important new MATLAB data types such as categorical arrays, string arrays, tall arrays, tables, and timetables; contains more on MATLAB workflow, including the Live Editor and unit tests; and fully reflects major updates to the MATLAB graphics system. This book is suitable for both beginners and more experienced users, including students, researchers, and practitioners.

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Author : Amar Khennane
Publisher : CRC Press
ISBN 13 : 1466580208
Total Pages : 490 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Finite Element Analysis Using MATLAB® and Abaqus by : Amar Khennane

Download or read book Introduction to Finite Element Analysis Using MATLAB® and Abaqus written by Amar Khennane and published by CRC Press. This book was released on 2013-06-10 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.

Analyzing Neural Time Series Data

Author : Mike X Cohen
Publisher : MIT Press
ISBN 13 : 0262019876
Total Pages : 615 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Analyzing Neural Time Series Data by : Mike X Cohen

Download or read book Analyzing Neural Time Series Data written by Mike X Cohen and published by MIT Press. This book was released on 2014-01-17 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the conceptual, mathematical, and implementational aspects of analyzing electrical brain signals, including data from MEG, EEG, and LFP recordings. This book offers a comprehensive guide to the theory and practice of analyzing electrical brain signals. It explains the conceptual, mathematical, and implementational (via Matlab programming) aspects of time-, time-frequency- and synchronization-based analyses of magnetoencephalography (MEG), electroencephalography (EEG), and local field potential (LFP) recordings from humans and nonhuman animals. It is the only book on the topic that covers both the theoretical background and the implementation in language that can be understood by readers without extensive formal training in mathematics, including cognitive scientists, neuroscientists, and psychologists. Readers who go through the book chapter by chapter and implement the examples in Matlab will develop an understanding of why and how analyses are performed, how to interpret results, what the methodological issues are, and how to perform single-subject-level and group-level analyses. Researchers who are familiar with using automated programs to perform advanced analyses will learn what happens when they click the “analyze now” button. The book provides sample data and downloadable Matlab code. Each of the 38 chapters covers one analysis topic, and these topics progress from simple to advanced. Most chapters conclude with exercises that further develop the material covered in the chapter. Many of the methods presented (including convolution, the Fourier transform, and Euler's formula) are fundamental and form the groundwork for other advanced data analysis methods. Readers who master the methods in the book will be well prepared to learn other approaches.

Linear Feedback Control

Author : Dingyu Xue
Publisher : SIAM
ISBN 13 : 9780898718621
Total Pages : 366 pages
Book Rating : 4.7/5 (186 download)

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Book Synopsis Linear Feedback Control by : Dingyu Xue

Download or read book Linear Feedback Control written by Dingyu Xue and published by SIAM. This book was released on 2007-01-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses analysis and design techniques for linear feedback control systems using MATLAB® software. By reducing the mathematics, increasing MATLAB working examples, and inserting short scripts and plots within the text, the authors have created a resource suitable for almost any type of user. The book begins with a summary of the properties of linear systems and addresses modeling and model reduction issues. In the subsequent chapters on analysis, the authors introduce time domain, complex plane, and frequency domain techniques. Their coverage of design includes discussions on model-based controller designs, PID controllers, and robust control designs. A unique aspect of the book is its inclusion of a chapter on fractional-order controllers, which are useful in control engineering practice.

Machine Component Analysis with MATLAB

Author : Dan B. Marghitu
Publisher : Butterworth-Heinemann
ISBN 13 : 012804229X
Total Pages : 232 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Machine Component Analysis with MATLAB by : Dan B. Marghitu

Download or read book Machine Component Analysis with MATLAB written by Dan B. Marghitu and published by Butterworth-Heinemann. This book was released on 2019-02-19 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine Design Analysis with MATLAB is a highly practical guide to the fundamental principles of machine design which covers the static and dynamic behavior of engineering structures and components. MATLAB has transformed the way calculations are made for engineering problems by computationally generating analytical calculations, as well as providing numerical calculations. Using step-by-step, real world example problems, this book demonstrates how you can use symbolic and numerical MATLAB as a tool to solve problems in machine design. This book provides a thorough, rigorous presentation of machine design, augmented with proven learning techniques which can be used by students and practicing engineers alike.