Mathematica: A Problem-Centered Approach (Springer by Roozbeh Hazrat

By Roozbeh Hazrat

Mathematica®: A Problem-Centered procedure introduces the gigantic array of gains and strong mathematical features of Mathematica utilizing a mess of sincerely awarded examples and labored- out difficulties. each one part begins with an outline of a brand new subject and a few uncomplicated examples. the writer then demonstrates using new instructions via 3 different types of problems

- the 1st class highlights these crucial elements of the textual content that exhibit using new instructions in Mathematica when fixing every one challenge presented;

- the second one contains difficulties that additional display using instructions formerly brought to take on various occasions; and

- the 3rd provides tougher difficulties for extra study.

The goal is to let the reader to benefit from the codes, therefore keeping off lengthy and hard explanations.

While in response to a working laptop or computer algebra direction taught to undergraduate scholars of arithmetic, technology, engineering and finance, the publication additionally comprises chapters on calculus and fixing equations, and photos, therefore masking all of the simple subject matters in Mathematica. With its powerful concentration upon programming and challenge fixing, and an emphasis on utilizing numerical difficulties that don't want any specific history in arithmetic, this ebook can be perfect for self-study and as an creation to researchers who desire to use Mathematica as a computational software.

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Mathematica: A Problem-Centered Approach (Springer Undergraduate Mathematics Series)

Mathematica®: A Problem-Centered technique introduces the large array of positive aspects and robust mathematical capabilities of Mathematica utilizing a mess of basically awarded examples and labored- out difficulties. every one part starts off with an outline of a brand new subject and a few uncomplicated examples. the writer then demonstrates using new instructions via 3 different types of problems

- the 1st class highlights these crucial elements of the textual content that show using new instructions in Mathematica while fixing each one challenge presented;

- the second one contains difficulties that additional display using instructions formerly brought to take on diverse events; and

- the 3rd offers tougher difficulties for extra study.

The goal is to let the reader to benefit from the codes, therefore warding off lengthy and laborious explanations.

While in response to a working laptop or computer algebra path taught to undergraduate scholars of arithmetic, technological know-how, engineering and finance, the publication additionally contains chapters on calculus and fixing equations, and images, therefore protecting all of the simple subject matters in Mathematica. With its robust concentration upon programming and challenge fixing, and an emphasis on utilizing numerical difficulties that don't desire any specific history in arithmetic, this booklet can be perfect for self-study and as an advent to researchers who desire to use Mathematica as a computational device.

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Introduction 100, m2 + n2 is a squared number (these are called Pythagorean pairs). =⇒ Solution. 11). Here we will use Manipulate, √ defining two dynamic variables m and n, and we will look at the result of m2 + n2 , and when this is an integer then (m, n) is a Pythagorean pair. 2 Defining functions This chapter shows how to define functions in Mathematica. Examples of functions with several variables and anonymous functions are given. Functions in mathematics define rules about how to handle data.

These functions are called anonymous or pure functions. 1. Here is an anonymous function equivalent to f (x) = x2 + 4: (#^2+4)& 24 2. Defining functions The expression (#^2+4)& defines a nameless function. As usual we can plug in data in place of #. The symbol & determines where the definition of the function is completed. 2 What do the following pure functions do? Fibonacci[15]//Mod[#,5]& PrimeQ[#! + 1] &@4 18//2^#+#& Anonymous functions can handle several variables. Here is an example of an anonymous function for f (x, y) = x2 + y 2 .

In the next problem we are going to find all the palindromic words in a lot of languages! 16 we will be working with strings of characters. 16 Write a function to check whether a word is palindromic. Using DictionaryLookup, find all the palindromic words in the English language. Then draw a bar chart showing how many palindromic words there are in different languages which are supported by Mathematica. =⇒ Solution. We first define a function to check whether a word is palindromic. Using StringReverse, this is easy: pal[n_] := n == StringReverse[n] pal["test"] False pal["kayak"] True 44 3.

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