Graph Theory Hand Book

Written by Reinhard Diestel received a PhD from the University of Cambridge, following research 1983-86 as a scholar of Trinity College under Béla Bollobás. He was a fellow of St. John's College, Cambridge, from 1986 to 1990. Research appointments and scholarships have taken him to Bielefeld (Germany), Oxford and the US. He became a professor in Chemnitz in 1994 and has held a chair at Hamburg since 1999.


Graph theory is gaining fast growing importance in college and university education. Its applications in computer science, economics, optimization make graph theory an obligatory part in syllabuses of electrical engineering, operations research, economics majors. Following this trend the number of graph theory textbooks on the market is also fast growing. Reinhard Diestel's work is certainly much more than just a small supplement to the previous works. It is an outstanding attempt to give a firm basis for graph theoretical studies and to give a glimpse of the most current techniques. In order to do that the author covers topics that are not traditional in earlier textbooks or not even covered in any of them.

The book consists of twelve chapters: The basics, Matching, Connectivity, Planar graphs, Colouring, Flows, Substructures in sparse graphs, Ramsey theory for graphs, Hamiltonian cycles, Random graphs, Minors, trees, and WQO.

Download electronic edition version (PDF Version Download)

this book is legal to download, but if you prefer print edition you can buy at http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/orders.html

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Geometry Reference Formula

Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space, this science can be found from Egypt, Mesopotamia.

you can looking more about geometry here, picture below shown the basic formula and calculation of basic shape.
1. Polygon Shape


2. Triangle
Here are three different types of triangles:

the triangle type is :
a. Scalene triangles have no equal sides and therefore no equal angles.
b. Isosceles triangles have two equal sides, which means they also have two equal angles
c. Equilateral triangles are a model of uniformity, the interior angles are always 60˚.

Triangles and Pythagoras

A Pythagoras triangle is a triangle with one 90˚ interior angle (called a right angle). Because the angles of a triangle must total 180˚


for learn more about Geometry and trigonometry you should download PDF file tutorial here

2D Geometry Formula Download
you should download 2D list of geometry formula here, this geometry formula list include, triangle, circular ring, elips, circular ring and others.

You also can download Plane Geometry Formulas by clicking this link

for 2D and 3D geometry formula list you can download from http://www.austincc.edu/by clicking this link

for volume geometry formula list you can download from this link

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Geometry of Surfaces

written by Nigel Hitchin, this article explain about surfaces geometry, topology, reirman surface, and surface with RxRxR (it's difficult i think)and you also should learn hyperbolic geometry form this article, article consits of 100 page, and the good news it's it free and legal to download

here the link for download

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Foundations of geometry

Foundations of geometry for university students and senior high school students, This book is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for more understanding and learning the elementary geometry, if you want to learn mathematics in geometry specializes this book is very useful to you, for beginning and fundamental understanding in geometry, this book consists of 221 page written by Ruslan Sharipov.

Download this material and book here

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Surface Area and Volume of square Pyramid and Triangular Prism

Surface Area and Volume of a square Pyramid
A pyramid is any three-dimensional structure where the upper surfaces are triangular and converge on one point. The base of pyramids are usually quadrilateral or trilateral (but generally may be of any polygon shape), meaning that a pyramid usually has three or four sides. The measurements of these triangles uniformly classify the shape as isosceles and sometimes equilateral.



Surface Area and Volume of a Isosceles Triangular Prism
The volume of a prism is the product of the [area] of the base and the distance between the two base faces, or the height (in the case of a non-right prism, note that this means the perpendicular distance)

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Surface Area and Volume

Sphere
A sphere is a perfectly symmetrical geometrical object. In non-mathematical usage, the term is used to refer either to a round ball or to its two-dimensional surface. In mathematics, a sphere is the set of all points in three-dimensional space (R3) which are at distance r from a fixed point of that space, where r is a positive real number called the radius of the sphere. The fixed point is called the center or centre, and is not part of the sphere itself. The special case of r = 1 is called a unit sphere.
Surface Area and Volume of a Cone
A cone is a three-dimensional geometric shape bounded by a simply connected region of a plane (the base) and a surface (the lateral surface) described by the locus of all line segments joining the perimeter of the base to a point (the apex or vertex) lying off the plane of the base. In common usage in elementary geometry, "cone" usually means a right circular cone (see below).



Surface Area and Volume of a Cylinder



Surface Area and Volume of a Rectangular Prism

In geometry, an n-sided prism is a polyhedron made of an n-sided polygonal base, a translated copy, and n faces joining corresponding sides. Thus these joining faces are parallelograms. All cross-sections parallel to the base faces are the same. A prism is a subclass of the prismatoids.

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