Download or read book An Introduction to Numerical Analysis Using Excel written by Anthony Mazzurco and published by . This book was released on 2019-08-30 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction into some of the basic theories and techniques of Numerical Analysis. Its main purpose is to provide the basis for a first level college course in this field. However, it is written in a way that would help any reader outside of the classroom, with an appropriate background, to attain insight and a fundamental understanding into this field of mathematics. The theory behind the various methods are explored and, where possible, derived in an intuitive manner. Traditionally, teaching this field relied on the student performing the repetitive steps of these procedures with pencil and paper or programming the algorithms on a computer using any one of a number of languages (e.g. FORTRAN, Pascal, or C). Here, these methods are demonstrated by implementing them in spreadsheets using Microsoft's Excel. The derivation of each of the spreadsheets is covered in depth so that the practical application of the theory is highlighted. With the use of examples, the student can see the numerical techniques actually converge to the problem's solution on their personal computer. The spreadsheets are generalized so that they can also be used by the student to solve other problems. Spreadsheets, like Excel, lend themselves to performing repetitive steps without frustrating the student with the likelihood of making simple arithmetic errors which detract from seeing the beauty of these techniques in operation. In addition, basic spreadsheets are relatively user-friendly and easy to understand so the student does not need to learn or avail themselves of a traditional programming language in order to understand this topic. The student only needs a basic understanding of spreadsheets in order to use this book. Whenever some of Excel's less common tools are used, an explanation is given to show how they are implemented. An example would be to show how a user-defined function is created. There are four main sections to this book. The first section covers finding roots of equations. The techniques are straight-forward and are generally described geometrically. Newton's Method does require an understanding of derivatives. The second section deals with numerical methods for evaluating definite integrals. Clearly, an understanding of integral calculus is required to fully appreciate what is going on. Techniques for performing some matrix operations are covered in the third Section. Mainly, it shows how the technique of transforming a matrix into reduced row echelon form can be employed to address many of these operations. Familiarity with inverses and determinants of matrices would be very useful. A lot of the operations addressed by the reduced echelon transformation (e.g. finding determinants) are actually built into Excel. The book demonstrates how these are used as well. In the Fourth Section, iterative techniques for some simple examples of differential equations are covered. It deals with equations of the general form dy/dx=f(x, y) where there is one known value of x and y, it implements techniques that will allow one to find the value of y that is associated with some other value of x. So a basic understanding of differential equations is required to fully appreciate this Section. Each of these Sections illustrates the techniques by walking through specific examples. By following the examples and illustrations, the reader will be able to reproduce and use the spreadsheets in other applications.
Download or read book Practical Numerical Analysis Using Microsoft Excel written by A. Nandy and published by Alpha Science Int'l Ltd.. This book was released on 2004 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents numerical analysis in an easy and lucid manner requiring no prior knowledge of computer programming or intricacies of mathematics using MS-EXCEL 2000 through built in functions of MS-Excel depicting with ease various analysis. The analysis used can also be done using earlier versions of MS-Excel. The majority of numerical analysis needs fall into the curve fitting, interpolation, solutions of equations, integration methods. For these Excel's features provide a very easy and inexpensive way to get the job done.
Download or read book Numerical Analysis Using MATLAB and Excel written by Steven T. Karris and published by Orchard Publications. This book was released on 2007 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is written primarily for students/readers who have a good background of high-school algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus.
Download or read book Excel for Scientists and Engineers written by E. Joseph Billo and published by John Wiley & Sons. This book was released on 2007-04-06 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to fully harness the power of Microsoft Excel(r) to perform scientific and engineering calculations With this text as your guide, you can significantly enhance Microsoft Excel's(r) capabilities to execute the calculations needed to solve a variety of chemical, biochemical, physical, engineering, biological, and medicinal problems. The text begins with two chapters that introduce you to Excel's Visual Basic for Applications (VBA) programming language, which allows you to expand Excel's(r) capabilities, although you can still use the text without learning VBA. Following the author's step-by-step instructions, here are just a few of the calculations you learn to perform: * Use worksheet functions to work with matrices * Find roots of equations and solve systems of simultaneous equations * Solve ordinary differential equations and partial differential equations * Perform linear and non-linear regression * Use random numbers and the Monte Carlo method This text is loaded with examples ranging from very basic to highly sophisticated solutions. More than 100 end-of-chapter problems help you test and put your knowledge to practice solving real-world problems. Answers and explanatory notes for most of the problems are provided in an appendix. The CD-ROM that accompanies this text provides several useful features: * All the spreadsheets, charts, and VBA code needed to perform the examples from the text * Solutions to most of the end-of-chapter problems * An add-in workbook with more than twenty custom functions This text does not require any background in programming, so it is suitable for both undergraduate and graduate courses. Moreover, practitioners in science and engineering will find that this guide saves hours of time by enabling them to perform most of their calculations with one familiar spreadsheet package.
Download or read book Practical Numerical Methods for Chemical Engineers written by Richard A. Davis and published by CreateSpace. This book was released on 2014-10-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This NEW 3rd edition builds on the popular success of prior editions to expand the breadth of Practical Numerical Methods with more VBA macros that boost Excel's power for modeling and analysis. Engineers & scientists will find enhanced coverage of computational tools applicable to a wider variety of problems in their own disciplines. Excel is the de facto computational tool used by practicing engineers & scientists. Use this book to become proficient with VBA programming & customize your workbooks with time saving enhancements & powerful numerical techniques. Topics include an introduction to modeling, Excel & VBA programming, root-finding for systems of linear & nonlinear equations, eigenproblems, derivative approximation, optimization, experimental uncertainty analysis, least-squares regression & model validation, interpolation, integration, ordinary & partial differential equations. A companion web site has digital files for downloading 200 illustrations, examples, & the refined PNM3Suite workbook with 100 VBA user-defined functions, macros, & user forms for advanced numerical techniques. End-of-chapter practice problems for self-study are also available at the site (www.d.umn.edu/~rdavis/PNM/PNMExcelVBA3). Example files & macros are ready to be modified by users for their own needs. The introduction includes a primer on chemical reaction engineering for problems involving mass & energy balances with reactions. The next two chapters cover frequently overlooked features of Excel & VBA to apply numerical methods in Excel, as well as document results. The remaining chapters present powerful numerical techniques using Excel & VBA. Introduction to Numerical Methods & Mathematical Modeling Introduction to Excel: Documentation, Graphing, Worksheet Functions, Validation & Formatting, What-if Analysis VBA: Editor, Functions & Sub Procedures, Data Types, Structured Programming, Arithmetic & Worksheet Functions, Flow Control, Arrays, Communication, Message & Input Boxes, User Forms, Reading/Writing Files, Debugging Linear Equations: Matrix Algebra, Gaussian Elimination & Crout Reduction with Pivoting, Thomas, Cholesky, Power, Jacobi, & Interpolation Method for Eigenvalues & Eigenvectors, Jacobi & Gauss-Seidel Iteration, Relaxation Taylor Series Analysis: Finite Difference Derivative Approximations, Richardson's Extrapolation Nonlinear Equations: Root Finding, Bisection, Regula Falsi, Newton & Secant Methods, Wegstein, Quasi-Newton, Aitkin & Steffensen, Homotopy, Goal Seek & Solver, Bairstow's Method for Polynomial Roots Optimization: Solver, Luus-Jaakola, Quadratic Interpolation, Golden Section, Powell, Constraints, Scaling Uncertainty Analysis: Law of Propagation, Monte Carlo Simulations with Latin Hypercube Sampling Least-squares Regression: Linear & Nonlinear, LINEST, Gauss-Newton, Levenberg-Marquardt, Model Validation & Assessment, Parameter & Model Uncertainty Analysis, Weighted Regression Interpolation: Linear, Newton Divided Difference & Lagrange Polynomials, Rational, Stineman, Cubic & Constrained Splines, Linear & Spline Bivariate Interpolation Integration: Graphical, Trapezoidal, Midpoint for Improper Integrals, Romberg, Adaptive Simpson & Gauss-Kronrod, Multiple Integrals by Simpson, Guass-Kronrod & Monte Carlo Initial-value Problems: Single Step Euler & Backward Euler, Implicit Trapezoidal for Stiffness, Variable Step Runge-Kutta Cash Karp, Dormand-Prince, Multi-step Adams-Bashforth-Moulton, Differential-Algebraic Systems Boundary-value Problems & Partial Differential Equations: Shooting, Finite Difference, Orthogonal Collocation, Quasilinearization, Method of Lines, Crank-Nicholson Review: Summary Tables of Excel & VBA Functions, User-defined Functions, Macros, User Forms
Download or read book Numerical Analysis Using MATLAB and Spreadsheets written by Steven T. Karris and published by Orchard Publications. This book was released on 2004 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This text provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and engineering. These are illustrated with many practical examples. With this text the reader learns numerical analysis with many real-world applications, MATLAB, and spreadsheets simultaneously. This text includes the following chapters:? Introduction to MATLAB? Root Approximations? Sinusoids and Complex Numbers? Matrices and Determinants? Review of Differential Equations? Fourier, Taylor, and Maclaurin Series? Finite Differences and Interpolation? Linear and Parabolic Regression? Solution of Differential Equations by Numerical Methods? Integration by Numerical Methods? Difference Equations? Partial Fraction Expansion? The Gamma and Beta Functions? Orthogonal Functions and Matrix Factorizations? Bessel, Legendre, and Chebyshev Polynomials? Optimization MethodsEach chapter contains numerous practical applications supplemented with detailed instructionsfor using MATLAB and/or Microsoft Excel? to obtain quick solutions.
Download or read book Numerical Methods for Chemical Engineers Using Excel VBA and MATLAB written by Victor J. Law and published by CRC Press. This book was released on 2013-04-08 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: While teaching the Numerical Methods for Engineers course over the last 15 years, the author found a need for a new textbook, one that was less elementary, provided applications and problems better suited for chemical engineers, and contained instruction in Visual Basic® for Applications (VBA). This led to six years of developing teaching notes that have been enhanced to create the current textbook, Numerical Methods for Chemical Engineers Using Excel®, VBA, and MATLAB®. Focusing on Excel gives the advantage of it being generally available, since it is present on every computer—PC and Mac—that has Microsoft Office installed. The VBA programming environment comes with Excel and greatly enhances the capabilities of Excel spreadsheets. While there is no perfect programming system, teaching this combination offers knowledge in a widely available program that is commonly used (Excel) as well as a popular academic software package (MATLAB). Chapters cover nonlinear equations, Visual Basic, linear algebra, ordinary differential equations, regression analysis, partial differential equations, and mathematical programming methods. Each chapter contains examples that show in detail how a particular numerical method or programming methodology can be implemented in Excel and/or VBA (or MATLAB in chapter 10). Most of the examples and problems presented in the text are related to chemical and biomolecular engineering and cover a broad range of application areas including thermodynamics, fluid flow, heat transfer, mass transfer, reaction kinetics, reactor design, process design, and process control. The chapters feature "Did You Know" boxes, used to remind readers of Excel features. They also contain end-of-chapter exercises, with solutions provided.
Download or read book Numerical Calculation for Physics Laboratory Projects Using Microsoft EXCEL written by Shinil Cho and published by Morgan & Claypool Publishers. This book was released on 2019-10-31 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers essential Microsoft EXCEL®'s computational skills while analyzing introductory physics projects. Topics of numerical analysis include; multiple graphs on the same sheet, calculation of descriptive statistical parameters, a 3-point interpolation, the Euler and the Runge-Kutter methods to solve equations of motion, the Fourier transform to calculate the normal modes of a double pendulum, matrix calculations to solve coupled linear equations of a DC circuit, animation of waves and Lissajous figures, electric and magnetic field calculations from the Poisson equation and its 3D surface graphs, variational calculus such as Fermat's least traveling time principle and the least action principle. Nelson's stochastic quantum dynamics is also introduced to draw quantum particle trajectories.
Download or read book An Introduction to Numerical Methods and Analysis written by James F. Epperson and published by John Wiley & Sons. This book was released on 2013-06-06 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.
Download or read book Advanced Excel for Scientific Data Analysis written by Robert De Levie and published by Oxford University Press, USA. This book was released on 2004 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide to Excel focuses on three areas--least squares, Fourier transformation, and digital simulation. It illustrates the techniques with detailed examples, many drawn from the scientific literature. It also includes and describes a number of sample macros and functions to facilitate common data analysis tasks. De Levie is affiliated with Bowdoin College. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
Download or read book Numerical Analysis written by and published by . This book was released on 2015 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Excel for Scientists and Engineers written by E Joseph Billo and published by . This book was released on 2020-05-16 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Objective of This Book Numerical methods require extensive calculation, which is easily accomplished using today's desktop computers. A number of books have been written in which numerical methods are implemented using a specific programming language, such as FORTRAN or C++. Most scientists and engineers received some training in computer programming in their college days, but they (or their computer) may no longer have the capability to write or run programs in, for example, FORTRAN. This book shows how to implement numerical methods using Microsoft Excel@, the most widely used spreadsheet software package. Excel@ provides at least three ways for the scientist or engineer to apply numerical methods to problems: by implementing the methods on a worksheet, using worksheet formulas by using the built-in tools that are provided within Excel by writing programs, sometimes loosely referred to as macros, in Excel's Visual Basic for Applications (VBA) programming language. All of these approaches are illustrated in this book. This is a book about numerical methods. I have emphasized the methods and have kept the mathematical theory behind the methods to a minimum. In many cases, formulas are introduced with little or no description of the underlying theory. (I assume that the reader will be familiar with linear interpolation, simple calculus, regression, etc.) Other topics, such as cubic interpolation, methods for solving differential equations, and so on, are covered in more detail, and a few topics, such as Bairstow's method for obtaining the roots of a regular polynomial, are discussed in detail. In this book I have provided a wide range of Excel solutions to problems. In many cases I provide a series of examples that progress from a very simple implementation of the problem (useful for understanding the logic and construction of the spreadsheet or VBA code) to a more sophisticated one that is more general. Some of the VBA macros are simple "starting points" and I encourage the reader to modify them; others are (or at least I intended them to be) "finished products" that I hope users can employ on a regular basis. Nearly 100% of the material in this book applies equally to the PC or Macintosh versions of Excel. In a few cases I have pointed out the different keystrokes requires for the Macintosh version.
Download or read book Quantitative Finance written by Matt Davison and published by CRC Press. This book was released on 2014-05-08 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teach Your Students How to Become Successful Working Quants Quantitative Finance: A Simulation-Based Introduction Using Excel provides an introduction to financial mathematics for students in applied mathematics, financial engineering, actuarial science, and business administration. The text not only enables students to practice with the basic techniques of financial mathematics, but it also helps them gain significant intuition about what the techniques mean, how they work, and what happens when they stop working. After introducing risk, return, decision making under uncertainty, and traditional discounted cash flow project analysis, the book covers mortgages, bonds, and annuities using a blend of Excel simulation and difference equation or algebraic formalism. It then looks at how interest rate markets work and how to model bond prices before addressing mean variance portfolio optimization, the capital asset pricing model, options, and value at risk (VaR). The author next focuses on binomial model tools for pricing options and the analysis of discrete random walks. He also introduces stochastic calculus in a nonrigorous way and explains how to simulate geometric Brownian motion. The text proceeds to thoroughly discuss options pricing, mostly in continuous time. It concludes with chapters on stochastic models of the yield curve and incomplete markets using simple discrete models. Accessible to students with a relatively modest level of mathematical background, this book will guide your students in becoming successful quants. It uses both hand calculations and Excel spreadsheets to analyze plenty of examples from simple bond portfolios. The spreadsheets are available on the book’s CRC Press web page.
Download or read book Digital Circuit Simulation Using Excel written by Anthony Mazzurco and published by Gatekeeper Press. This book was released on 2020-09-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops techniques for simulating digital logic circuits in Microsoft’s Excel that provide a useful tool to both the student and the practicing engineer. It introduces the subject by showing how logic devices, taken from the standard 7400 family, can be modeled and stored in a library. These functions can then be combined by the user as building blocks to design more complex circuits, both combinatorial and sequential. The simulations not only allow the designs to be verified to ensure they provide expected outputs and states, but can also perform detailed timing analysis. Worst case timing conditions can be imposed to stress the circuits so that the resultant behavior can be observed. Methods showing how the user can add additional devices to the simulation library are also covered.
Download or read book Numerical Methods written by Anne Greenbaum and published by Princeton University Press. This book was released on 2012-04-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and comprehensive introduction to numerical analysis Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects—design, analysis, or computer implementation—of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online
Download or read book Numerical Methods with VBA Programming written by James Hiestand and published by Jones & Bartlett Publishers. This book was released on 2008-12-26 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods with VBA Programming provides a unique and unified treatment of numerical methods and VBA computer programming, topics that naturally support one another within the study of engineering and science. This engaging text incorporates real-world scenarios to motivate technical material, helping students understand and retain difficult and key concepts. Such examples include comparing a two-point boundary value problem to determining when you should leave for the airport to catch a scheduled flight. Numerical examples are accompanied by closed-form solutions to demonstrate their correctness. Within the programming sections, tips are included that go beyond language basics to make programming more accessible for students. A unique section suggest ways in which the starting values for non-linear equations may be estimated. Flow charts for many of the numerical techniques discussed provide general guidance to students without revealing all of the details. Useful appendices provide summaries of Excel and VBA commands, Excel functions accessible in VBA, basics of differentiation, and more!
Download or read book Numerical Methods for Chemical Engineers Using Excel VBA and MATLAB written by Victor J. Law and published by CRC Press. This book was released on 2013-03-05 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: While teaching the Numerical Methods for Engineers course over the last 15 years, the author found a need for a new textbook, one that was less elementary, provided applications and problems better suited for chemical engineers, and contained instruction in Visual Basic® for Applications (VBA). This led to six years of developing teaching notes that have been enhanced to create the current textbook, Numerical Methods for Chemical Engineers Using Excel®, VBA, and MATLAB®. Focusing on Excel gives the advantage of it being generally available, since it is present on every computer—PC and Mac—that has Microsoft Office installed. The VBA programming environment comes with Excel and greatly enhances the capabilities of Excel spreadsheets. While there is no perfect programming system, teaching this combination offers knowledge in a widely available program that is commonly used (Excel) as well as a popular academic software package (MATLAB). Chapters cover nonlinear equations, Visual Basic, linear algebra, ordinary differential equations, regression analysis, partial differential equations, and mathematical programming methods. Each chapter contains examples that show in detail how a particular numerical method or programming methodology can be implemented in Excel and/or VBA (or MATLAB in chapter 10). Most of the examples and problems presented in the text are related to chemical and biomolecular engineering and cover a broad range of application areas including thermodynamics, fluid flow, heat transfer, mass transfer, reaction kinetics, reactor design, process design, and process control. The chapters feature "Did You Know" boxes, used to remind readers of Excel features. They also contain end-of-chapter exercises, with solutions provided.
