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Numerical Analysis and Statistical Methods Assignment Help

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Numerical analysis and statistical methods chapter in mathematics has wide applications in all major engineering streams. Numerical methods are widely used in various applications to find out exact value.This subject has included in many engineering streams like electrical engineering, mechanical engineering, computer engineering, production engineering and many other courses. The numerical analysis math problems are quite complex and difficult to solve by students without knowing a proper way. Most of students feel trouble in this math topic. Expertsmind.com helps students to make easy solutions in numerical analysis and methods math problems. We provide numerical analysis and statistical methods homework help, numerical methods assignment help and projects assistance with best online support for 24*7 hours.

Numerical analysis and study

Numerical analysis can be termed a study of algorithms which use numerical approximizations for solving the problems of mathematical analysis. Numerical analysis finds its application in nearly all fields of engineering as well as in the physical sciences, though in the 21st century, these disciplines are using scientific computation for their research. Differential equations are used in the form of ordinary differential equations for calculating movement of heavenly bodies, optimizations and portfolio management, in numerical linear algebra for data analysis purposes and the Markov chain in stimulating living cells foe medicines and biology. Before the advent of computers, hand interpolations were used in large printed tables. Now the computes calculate the required functions. The interpolation algorithms are still in use for solving differential equations.

History of numerical analysis

Some form of linear interpolation was in existence 2000 years ago also. Many eminent mathematicians form different times have contributed to the field of numerical analysis. This is evident form the names of some major algorithms like Newton method, Lagrange interpolation polynomial, Euler’s method and Gaussian elimination. For facilitating the computations by hand, some lengthy books were produced which contained tables and formulas of data like interpolation points and function coefficients. The first tool to be developed for hand computation was the mechanical calculator. These calculators later progressed and evolved into electronic computers in the decade of 1940. These computers were useful for administration purposes also. With the help of computers more complex problems of numerical analysis could be solve.

Uses of numerical methods and analysis

1. The numerical weather predictions are made by using advance numerical methods. anch of mathematics which is used for collecting or interpreting data while other see it as a full fledged mathematical science subject which involves the collection, analysis, interpretation, explanation and presentation of data. Since the empirical roots and focus of applications of statistics are distinct and unique, it is generally considered a distinct science rather than a branch of mathematics.

By the help of stats, the quality of data is improved by using survey sampling and design of experiments. It can also do forecasting by analyzing the data and generation of models. It is provided to a wide variety of academic disciplines including natural sciences, social sciences, and businesses and also helps the government in making various predictions and conducting distinct analysis. It is the job of the statistical consultants to provide help to the organizations and companies who do not have the necessary expertise needed for particular problems.

Various statistical methods used are experimental and observational studies, which use dependent or independent variables for data generation and study.

For conducting an experiment the basic steps are-

1. Planning the research.

2. Designing the experiments.

3. Performing the actual experiment by using the experimental protocol and then analyzing the data.

4. Further examining the data, which is done in secondary analyses. This helps in suggesting new hypotheses for future studies.

5. Documenting the process and presenting the results of the study.

The observational study on the other hand collects observations by conducting a survey, and collects data specific to the area of interest. These data are then analyzed by conducting statistical analysis.

History of statistics

The statistical studies began with the publication natural and political observations upon the bills of mortality, written by John Grant, in the year 1663. The scope and area of statistical studied grew in size in the early 19th century and include areas like collection and analysis if areas in general. It had a mathematical foundation given in the 17th century, when Blaise Pascal and Pierre de Fermat developed the probability theory. Another major contribution was by Carl Frederic Gauss in 1794, when he described the method of least squares. The advent of computer has made large scale statistical computations easy and has given new methods which were earlier impossible to perform by manual means.