How many parts of mathematics ?

Among the ways to divide the field of mathematics is by field of application. There are many books and courses in schools labeled "Engineering mathematics", "Financial mathematics", "Mathematics for social scientists", and so on. While it is perhaps easier for the reader to have the material pre-filtered according to application, this hides the fact that the underlying mathematics is really quite similar.

Arithmetic

is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations. It involves the study of quantity, especially as the result of operations that combine numbers. In common usage, it refers to the simpler properties when using the traditional operations of addition, subtraction, multiplication and division with smaller values of numbers.

Algebra

While the word algebra comes from the Arabic language (الجبر al-jabr "restoration") and much of its methods from Arabic/Islamic mathematics, its roots can be traced to earlier traditions, which had a direct influence on Muhammad ibn Mūsā al-Khwārizmī (c. 780–850). He later wrote The Compendious Book on Calculation by Completion and Balancing, which established algebra as a mathematical discipline that is independent of geometry and arithmetic.

Trigonometry

is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies

Numerical Methods

Numerical analysis continues this long tradition of practical mathematical calculations, Numerical analysis naturally finds applications in all fields of engineering and the physical sciences, but in the 21st century, the life sciences and even the arts have adopted elements of scientific computations, modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice.

Showing posts with label Trigonometry. Show all posts
Showing posts with label Trigonometry. Show all posts

Trygonometric Delights, and introduction of trygonometry free books

in this post I provide a simple review of the two free books that I found after browsing about trigonometry, there is no end to the discussion of the triangle, we can explore a part of this mathematics ranging from history, until a new theory about the true triangle, two books that can be download for free following a discussion about two different things but actually interrelated, the first book can be downloaded at the following link

This Book Begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. It shows how Greek astronomers developed the first true trigonometry. It traces the Slow Emergence of modern, analytical trigonometry, recounting its Origins in Renaissance Europe's quest for more accurate Artillery, more precise clocks, and more pleasing musical instruments.
The following book reveals history from time to time regarding the development of a triangle formula as well as its application in building the history of human civilization, for example about, Recreational Mathematics in Ancient Egypt, Epicycloids and Hypocycloids, more information, please read and downloaded directly on the link provided.
Download Link


An introduction to TRIGONOMETRY
The next is a book that should be compulsory reading for lovers or for beginners to learn trygonometry, why because this book presents the complete formula, an explanation of the basics trygonometry very important to understand.for exampleTrigonometric circle and AnglesTrigonometric numbers of a real number tBasic formulasRelated valuesTrigonometric functionsInverse trigonometric FunctionsSum formulasTrigonometric equationsfor more details please read and learn more at the link below
Read Online
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Trigonometric Relations and Trigonometric formula for calculus

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Trigonometric Relations is relation between each angle of trigonometric function like cos with sin, sin with tang, sinxsin + cosxcos and othes relation
to learn more about trigonometric function from the introduction online, i recommended this site
http://www.ping.be/
this site have enough resources about trigonometric function like :

    Definitions and basics

  • Trigonometric circle and angles
  • Trigonometric numbers of a real number t
  • Basic formulas

    Trigonometric functions

  • The sine function
  • The cosine function
  • The tangent function
  • The cotangent function

    Sum formulas like

  • cos(u - v)
  • cos(u + v)
  • sin(u - v)
  • sin(u + v)
  • tan(u + v)
  • tan(u - v)

pdf version of trigonometric relation you can download at link below, altough is not complete list like online version from ping.be
http://www.koeri.boun.edu.tr

and trygonometric function for calculus identities you can download at link below
http://www.nd.edu/~jharper1/TrigIdentities.pdf


the complete explanation and tutorial about trigonometric identities you can download tutorial that written by Thomas E. Price, from Department of Theoretical and Applied Mathematics, THE UNIVERSITY OF AKRON.
TRIGONOMETRIC IDENTITIES


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TRIGONOMETRIC IDENTITIES AND FORMULA

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trigonometric formula and table list is written by Thomas E. Price from Department of Theoretical and Applied Mathematics THE UNIVERSITY OF AKRON, more than 50 pages in pdf format, in last page you will find some exercises for trigonometric problem with solution, it's very helpfully,, here some list of the content:

Introduction
The Elementary Identities
The sum and difference formulas
The double and half angle formulas
Product Identities and Factor formulas
Exercises
Solutions to Exercises

download trigonometric identities and formula

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Graph of Trigonometry function

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Trigonometry is one of the branch of mathematics that explain about triangles, , oscillations, circles and various waves, it is absolutely crucial and very important to much of geometry and physics. when we learn geometry or physics we'll alway find that trigonometry very useful, here some of the graph of Trigonometry function

y = sin x
this a basic of graph with variable x in y line



graph below is cosines graph represent y= cos x


and the last graph is function of tangent with formula y = tan x

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