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[资源] 2014新书：MATLAB微分及积分计算（MATLAB Differential and Integral Calculus）

MATLAB Differential and Integral Calculus

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.
Table of contents :
Content:
Front Matter....Pages i-xi
Introduction and the MATLAB Environment....Pages 1-15
Limits and Continuity. One and Several Variables....Pages 17-44
Numerical Series and Power Series....Pages 45-68
Derivatives and Applications. One and Several Variables....Pages 69-107
Vector Differential Calculus and Theorems in Several Variables....Pages 109-127
Integration and Applications....Pages 129-162
Integration in Several Variables and Applications....Pages 163-179
Differential Equations....Pages 181-213

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