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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Complete Mathematics Formulary

This document contains 66 pages with mathematical equations intended for physicists and engineers. It is intended to be a short reference for anyone who often needs to look up mathematical equations, This document can also be obtained from the author, JohanWevers, This document is Copyright by J.C.A. Wevers. All rights reserved. Permission to use, copy and distribute this unmodified document by any means and for any purpose except profit purposes is hereby granted. Reproducing this
document by any means, included, but not limited to, printing, copying existing prints, publishing by electronic or other means, implies full agreement to the above non-profit-use clause, unless upon explicit prior written permission
of the author.So This Complete Mathematics Formulary is free and legal to download.

Download Complete Mathematics Formula

Here some table of content
Basics 1
1.1 Goniometric functions
1.2 Hyperbolic functions
1.3 Calculus
1.4 Limits
1.5 Complex numbers and quaternions
1.5.1 Complex numbers
1.5.2 Quaternions
1.6 Geometry
1.6.1 Triangles
1.6.2 Curves
Differential equations 20
4.1 Linear differential equations
4.1.1 First order linear DE
4.1.2 Second order linear DE
4.1.3 The Wronskian
4.1.4 Power series substitution
and various others

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Universal Algebra Mathematics Book

Universal algebra (sometimes called general algebra) is the field of mathematics that studies the ideas common to all algebraic structures.
In addition to its unifying approach, Universal algebra also gives deep theorems and important examples and counterexamples. It provides a useful framework for those who intend to start the study of new classes of algebras. It can enable the use of methods invented for some particular classes of algebras to other classes of algebras, by recasting the method in terms of universal algebra (if possible), and then interpreting these as applied to other classes. It has also provided conceptual clarification; as J.D. H. Smith puts it, "What looks messy and complicated in a particular framework may turn out to be simple and obvious in the proper general one." (wikipedia.org)

To promote the study of Universal Algebra in the new millennium, the text of the out-of-print original Springer-Verlag Graduate Texts in Mathematics edition, 1981, of A Course in Universal Algebra has been corrected and put in forms suitable for the WWW. Thanks to the support of NSERC it is now available in 8.5 by 11 in. format, using 12 pt. type, in Postscript (PS) format and in Adobe Acrobat PDF format. The postscript file is also available in three different compressions: gzip (.gz), compress (.Z), and zip (.zip).

Download all type of this book at
http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html


you can also download other algebra book at http://www.maths.tcd.ie/~dwilkins/Courses/111/

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Trigonometric Relations and Trigonometric formula for calculus

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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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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Integral table List and Formula

Integral table make we more easy to understand and remember integral formula, integral is one of two basic of calculus operation, integral have various type they are :

integrals of rational functions
integrals of irrational functions
integrals of trigonometric functions
integrals of inverse trigonometric functions
integrals of hyperbolic functions
integrals of arc hyperbolic functions
integrals of exponential functions
integrals of logarithmic functions

all type of integral you can download at http://integral-table.com/

or you can download other integral table in pdf here

to learn more how to proof integral table, you can go to http://math2.org

other site that provide integral table is http://infinity.cos.edu/

or you can learn more at free encyclopedia wikipedia and learn about development of calculus in integration at http://kr.cs.ait.ac.th

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Basic Statistical Formula

this is Some Basic Statistical Formula article, written ricardo from ecn.edu, this article will explain very basic statistic formula about mean, median, variation, variance, standard deviation and standard error of the mean is an estimation


Basic Statistical formula Download


Statistics formula sheet
second article is about H test, hypothesis test, mean, median, Discrete distributions, Test for population mean, Paired sample t-test, Regression and correlation, and Test for a proportion, at this article is more complete than upper before


Download Basic Statistics formula sheet



file type is pdf


Complete Statistics Formula, Table and List

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