Mathematical Explorations with MATLAB

Mathematical Explorations with MATLAB

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  • Author: Ke Chen
  • Publisher: Cambridge University Press
  • ISBN: 9780521639200
  • Category : Computers
  • Languages : en
  • Pages : 324

This book is about the kind of mathematics usually encountered in first year university courses. A key feature of the book is that this mathematics is explored in depth using the popular and powerful package Matlab. The emphasis is on understanding and investigating the mathematics, and putting it into practice in a wide variety of modelling situations. In the process, the reader will gain some fluency with Matlab, no starting knowledge of the package being assumed.


Mathematical Explorations with MATLAB

Mathematical Explorations with MATLAB

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  • Author: Ke Chen
  • Publisher:
  • ISBN:
  • Category : MATLAB.
  • Languages : en
  • Pages : 306


Differential Equations with MATLAB

Differential Equations with MATLAB

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  • Author: Mark McKibben
  • Publisher: CRC Press
  • ISBN: 1466557079
  • Category : Mathematics
  • Languages : en
  • Pages : 500

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance. The first part of the book presents systems of linear ODEs. The text develops mathematical models from ten disparate fields, including pharmacokinetics, chemistry, classical mechanics, neural networks, physiology, and electrical circuits. Focusing on linear PDEs, the second part covers PDEs that arise in the mathematical modeling of phenomena in ten other areas, including heat conduction, wave propagation, fluid flow through fissured rocks, pattern formation, and financial mathematics. The authors engage students by posing questions of all types throughout, including verifying details, proving conjectures of actual results, analyzing broad strokes that occur within the development of the theory, and applying the theory to specific models. The authors’ accessible style encourages students to actively work through the material and answer these questions. In addition, the extensive use of MATLAB® GUIs allows students to discover patterns and make conjectures.


Differential Equations with MATLAB

Differential Equations with MATLAB

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  • Author: Mark McKibben
  • Publisher: CRC Press
  • ISBN: 1466557087
  • Category : Mathematics
  • Languages : en
  • Pages : 497

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying


Explorations of Mathematical Models in Biology with MATLAB

Explorations of Mathematical Models in Biology with MATLAB

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  • Author: Mazen Shahin
  • Publisher: John Wiley & Sons
  • ISBN: 1118548531
  • Category : Science
  • Languages : en
  • Pages : 304

Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with MATLAB provides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models. With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes: Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems Solutions to selected exercises and additional MATLAB codes Explorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upper-undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.


Explorations In Numerical Analysis

Explorations In Numerical Analysis

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  • Author: James V Lambers
  • Publisher: World Scientific
  • ISBN: 9813220031
  • Category : Mathematics
  • Languages : en
  • Pages : 676

This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations, optimization, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the MATLAB programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.


Numerical Methods of Exploration Seismology

Numerical Methods of Exploration Seismology

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  • Author: Gary F. Margrave
  • Publisher: Cambridge University Press
  • ISBN: 1107170141
  • Category : Business & Economics
  • Languages : en
  • Pages : 457

Technical guide to the theory and practice of seismic data processing with MATLAB algorithms for advanced students, researchers and professionals.


Explorations in Differential Equations Using MATLAB 4.0

Explorations in Differential Equations Using MATLAB 4.0

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  • Author: Paul Bugl
  • Publisher:
  • ISBN: 9780133747607
  • Category : Mathematics
  • Languages : en
  • Pages : 147


Exploring Linear Algebra

Exploring Linear Algebra

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  • Author: Crista Arangala
  • Publisher: CRC Press
  • ISBN: 1351664077
  • Category : Mathematics
  • Languages : en
  • Pages : 155

Exploring Linear Algebra: Labs and Projects with MATLAB® is a hands-on lab manual that can be used by students and instructors in classrooms every day to guide the exploration of the theory and applications of linear algebra. For the most part, labs discussed in the book can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems using Mathematica demonstrations (an online tool that can be used with a browser with Java capabilities) and MATLAB® coding. This allows students to discover the theory and applications of linear algebra in a meaningful and memorable way. Features: The book’s inquiry-based approach promotes student interaction Each chapter contains a project set which consists of application-driven projects emphasizing the chapter’s materials Adds a project component to any Linear Algebra course Explores many applications to a variety of fields that can promote research projects Employs MATLAB® to calculate and explore concepts and theories of linear algebra


Scientific Computing with MATLAB

Scientific Computing with MATLAB

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  • Author: Dingyu Xue
  • Publisher: CRC Press
  • ISBN: 1498757820
  • Category : Mathematics
  • Languages : en
  • Pages : 404

Scientific Computing with MATLAB®, Second Edition improves students’ ability to tackle mathematical problems. It helps students understand the mathematical background and find reliable and accurate solutions to mathematical problems with the use of MATLAB, avoiding the tedious and complex technical details of mathematics. This edition retains the structure of its predecessor while expanding and updating the content of each chapter. The book bridges the gap between problems and solutions through well-grouped topics and clear MATLAB example scripts and reproducible MATLAB-generated plots. Students can effortlessly experiment with the scripts for a deep, hands-on exploration. Each chapter also includes a set of problems to strengthen understanding of the material.