Ansoft, FEM, Matlab, mathematica, Maple, C++, software engineering, mathematics .
Mathematics is the Mother of all Sciences and Governs the World,of late Economics,Finance.Social Sciences etc. and what not.
An Engineer can be a Good and Successful Engineer, only if he is Good in Mathematics.
Any System,including ones that are so far considered not to be based on Science,Comes under "System Engineering" and can be analyzed using Mathematics and may be Refined by Experienced and intuitive Persons.
P.S.
Mathematical analysis for the innovation of anything is Engineering. Mathematics is a natural numerical analysis whereas the product that we obtain from those are called to be engineering. For instant.. we use integration when constructing a bridge which is mathematics whereas to make those type of bridge possible and to get exist in extreme Constitution is Engineering. Engineering and mathematics are like a bone and a nerves of our body without one another can't function.
Mathematical analysis for the innovation of anything is Engineering. Mathematics is a natural numerical analysis whereas the product that we obtain from those are called to be engineering. For instant.. we use integration when constructing a bridge which is mathematics whereas to make those type of bridge possible and to get exist in extreme Condition is Engineering. Engineering and mathematics are like a bone and a nerves of our body without one another can't function
Mathematics is the Queen of Science and Engineering. Also we can strongly say that mathematics is the bone structure and engineering is the physical body.
"Mathematics is mother of engineering".Civil(structure),Mechanical and Electrical(electronics(communication),computer,IT) engineering to understand engineering(applied science) mathematics is a basic tool.One can't think of engineering without mathematics.
Math is a language (powerful), which you use to describe models in Engineering, and also in other sciences, as Physics!
Mathematics is the language of engineering. Without knowing the language you cannot communicate effectively, in the same way mathematics help us engineer the world.
Engineering is producing devices using physics laws and mathematics.
For example using math properties of parabola and reflection law from physics one can construct paraboloid mirror for sun cooking.
Nothing in Engineering works without mathematics it all mathematics only that real world sees mathematics and experiences mathematics through engineering as mathematics theoretical and its results and techniques can be used in development of engineering science
Mathematics is basic and lays the foundation on which all other sciences rest sometimes with no apparent immediate benefits. Engineering borrows heavily from physics and mathematics and applies the knowledge to do some "useful" and "funded" work.
Mathematics is base for creating solution for engineering application.
Mathematics is the language of science to put it in practice, which is Engineering.
You can check out this link, ;)
http://www.sciencemag.org/content/19/478/321.extract
One of the main tasks of engineering - the creation of new techniques, technologies, materials, etc. This process includes the development of a conceptual model and its subsequent formalization and research with the help of mathematical methods. The other way (when the formalization is impossible) - is the accumulation of empirical data and their processing using mathematical methods. After that you should give a meaningful interpretation of mathematical results in terms that are used in relevant subject area.
Thanks for all contributors,
I think that the engineers are mathematics limited by the materials behavior (thermal, mechanics, electrical, thermodynamics and magnetic).
Hover, the mathematics has an open mind.
But in engineering we have a many limitations, operating condition and monitoring condition.
In mathematics we have this famous word: the limit of our function tends to infinity !!!!!!.
In engineering we have not the word infinity, In engineering we have numbers.
Best regards.
Mathematics is a tool for solving engineering problems. If you have the tool and know how to use it properly, then you can easily solve the problems. The two go hand in hand. Mathematics makes the solution process of engineering problems easier and engineering problems are reasons for the evolution of new mathematical techniques.
Mathematics is the Mother of all Sciences and Governs the World,of late Economics,Finance.Social Sciences etc. and what not.
An Engineer can be a Good and Successful Engineer, only if he is Good in Mathematics.
Any System,including ones that are so far considered not to be based on Science,Comes under "System Engineering" and can be analyzed using Mathematics and may be Refined by Experienced and intuitive Persons.
P.S.
I agree with Mellah Hacene
Mathematics has a ideal view to problems but the real world has its limitations and engineering is skill of using mathematics to solve real problems with a practical view.
One the best descriptions I've ever seen is from Alain Bossavit:
This activity—model building—is what distinguishes “pure” mathematics from “applied” ones. Pure mathematicians try to discover, analyse, and classify all logically possible abstract structures. People who apply mathematics, including physicists and engineers, use them to construct specific abstract structures, which reproduce some of the features of the
real world, and thus can help in explaining or predicting the behavior of some definite segment of reality.
see page 2 of http://butler.cc.tut.fi/~bossavit/Books/IEEEJ/IEEEJapan1.pdf
I just say that Engg. is the application of mathematics. We apply all mathematics terminology in Engg. Engg. is the identity element in the group of mathematics.
Engineering is an application of science where mathematics also involves to solve it and give solutions to the practical problems.
As an engineer, one should know both science and maths to solve the day-to-day practical applications.
Simply saying '' Mathematics is a brain of Engineering''
Mathematics is supporting engineering. Engineering is nothing without mathematics.
The relation between Mathematics and Engineering is just like the relation between bricks and a buildings. That is without bricks, the concept of a building is impossible. Similarly without mathematics, the concept of a successful engineer is impossible.
Eric Laithwaite : "It is the job of the engineer to interpret science." So, mathematics are neccessary for engineering, but without engineering, mathematics would merely be a game for the mind: fascinating, but useless.
Mathematics is calculation and expectation .......engineering is implementation and make it existence.........mathematics+science=engineering-----which is progress of society...........
I disagree with Dimitrios. Without Mathematics engineering is useless because at the end mathematics helps you to find out and interpret the results. Without Engineering Mathematics can be used in all other sciences.
Mathematics is such a wonderful tool that it can define,simulate or solve any Problem,in its simplest form or in Greater Detail if you take into account the Constrains and make less and less Assumptions.The Foundation of Engineering is Mathematics.
It is said that Kepler,after studying the orbits of the Planets revolving around the Sun,insisted that at a particular orbit there should be a Planet and at that time there was no planet discovered in that orbit.Many many years later,it was found that in that orbit there were a number of Asteroids revolving the Sun instead of a planet.
P.S..
@Mohammad Shoaib. "The difference between an engineer and a technician is the knowledge of Mathematics."
If a Mathematician takes a technician course, can he be considered as an Engineer?
Mathematics is the main function of engineering. Without application of mathematics, engineering will not reach this stage of development.
@Kaleem Bhatti: Maybe my statement was a little bit too specific. What I mean is that if we don't put mathematics into any practical use (be it engineering, biology, medicine, or whatever applied science) then it is just a mind-stimulating game for ones mind. There is no much use for it! Mathematics is so great because it works! In the real world, I mean!
Mathematics is the backbone of engineering.
Eg:
How many square ft required for given dimensions of l and b :
Mathematicians found formulae to solve this and they would have solved based on some real time problems.might be for the same appln as mentioned below.
One who have used this for building construction have applied the formulae to this real time problem and moved a step ahead for design plan which is creative applications of the scientific principles, which is engineering.
I think that mathematical approaches help us to construct available models of engineering applications.
Looking back to the great building projects, there is an intimate relationship between the engineer looking for a practical solution to problems that seem to be ill-defined in a strict mathematical sense. The tradition of making the dream real in the world must be abetted by a knowledge of how things work so that the making can be organized. How did the Egyptians construct the pyramids? How did the Romans construct the viaducts? Here is the core of engineering as apprentice studied under the master and began to know the traditions of the trade. As time wore on, it was not enough that engineers could know from gut feelings and the business of engineering had to absorb applied mathematics to provide accurate answers to issues arising from new systems (e.g. Steinmetz in the correction of generator vibration). But I think that the big turnaround in the need for a mathematical basis for engineering occurred in the Manhattan project where engineers did not seem to be needed in primary roles. After the war, the engineering schools had to catch and seize mathematics as necessary for their growth.
It is interesting to note that much of the growth in mathematics stemmed from applied problems that have forced mathematicians to adopt loose definitions and then fill in the details of what looked like new approaches (e.g. Fourier series extension to mathematics).
Engineering can be put forward in mathematics to study, solve and analyse.
mathematics is a box with multiple tools and various models of problem solving. It is a very useful ressource to find rational and relevant solutions for various problems, of mathematical, physical, biological, astronomy, engineering, ect... The results obtained have always been of quality. Thus, one has always made call to mathematical models to study, understand, analyze and predict the outcome of an ingeneering action or a natural phenomenon.
Mathematics is the only one way to solve the engineering problems
Mathematics and the engineering allow an interdisciplinary approach in the observations of the physical world
I'll quote one of my lecturers from my undergraduate studies.:
"The engineer builds the mathematical models - the mathematician solves them" - Mr Buys
"The engineer builds the mathematical models - the mathematician solves them" - Mr Buys
the Engineers can solve any physical/ practical problems using Mathematics
@Ahmed Charifi: ...mathematics is a box with multiple tools and various models of problem solving. It is a very useful ressource to find rational and relevant solutions for various problems, of mathematical, physical, biological, astronomy, engineering, ect…
From an engineering perspective, I agree with you. Mathematics can be viewed as a toolbox filled with useful tools such as principal component analysis, partial derivatives, topological spaces (recall the work on the topology of digital images, starting with Rosenfeld in the 1970s), functional analysis, set theory, finite groupoid, semigroup and group theory (especially mappings between structures that arise naturally from sets endowed with a binary relation), tolerance spaces (recall the work by Poincare and Zeeman) and so on.
Engineering can be viewed as part of a tree that includes mathematics and science (see the attached image).
Arno,
Interesting post. You write: Math to me is a tool that is needed for creating things and their flow of action at the time of creating these and, eventually, for describing things and their flow of action at the time of their occurrence.
If you substitute "designing, analysing and understanding" for "creating", then your conjecture can be rewritten in the context of the relation between mathematics and engineering:
Conjecture:
Math is a tool that is needed for designing, analysing and understanding engineering systems.
My former Dean used to say that "Engineering is design". What the revised conjecture suggests is that mathematics (in the hands of an engineer) makes a great means of designing engineering systems. A good example of the role of mathematics in engineering (in an intense way) can be found in chemical engineering (see the cover of the attached image for a book by J. Awrejcewicz).
The symbiosis between mathematics and engineering is a long-standing one. Almost all branches of engineering rely on mathematics as a language of description and analysis. On the other hand, mathematics has benefited from a steady flow of engineering problems which require solving and this has sometimes led to the development of new areas of mathematics. This symbiosis has, however, had its tensions where the education of engineers is concerned.
The ever more rapid pace of technological development has created a situation in which many engineers will require frequent updating in areas of their specialization. This may involve the mastery of new techniques and the understanding of new theoretical concepts. A fluency with mathematics is an essential weapon in the modern graduate engineer’s armoury (SEFI Core Curriculum).
Aria Tsam,
Good post. Please refine, expand, clarify
The Mathematician: "If now exactly 1 person enters the house
then it will be empty again."
I can write like this, "c=a+b" is Mathematics. Designing an Adder for a Processor ALU is Engineering.!!
Mathematics has also been created, or discovered if you like, by engineers to solve specific practical problems. However, the same applies to science in general. Trial and error is one way to find a solution to your problem at hand. Mathematics, on the other hand, may provide a rigorous, systematic and efficient approach to find plausible solutions to some problems (or maybe all!). However, if the studied problem has not been formulated correctly, based on valid laws, the obtained solution might be correct, but meaningless. Some problems can be solved more quickly with an engineering mindset others succumb only to rigorous number crunching mathematical modelling. After all, all we do in science, engineering or the arts is just building models of the physical reality or the reality in our own heads. There is no modelling without mathematics.
My Applied Mathematics lecturer (Mr Buys, University of Stellenbosch, 1982) said that the engineer builds the mathematical models and the mathematicians solves them.
For the purpose of building mathematical models, one should have a good understanding of mathematics first..
Yes, it is the reason that engineering schools require students with mathematical baccalaureate.
Many of the posts here mention the relationship between math and physis or engineering, etc. However, biology is now to the point where it is also becoming "mathematicalized" (for want of a better term). Indeed, this has given rise to the relatively new sub-field of bioinformatics --- the intersection of biology, computer science, and mathematics. The quote by Gauss regarding mathematics as the queen of the sciences has never been more apt.
As a Matter of Fact Every Discipline ,including the ones which were formally thought of being Mathematics Free,is getting involved with Mathematics now since Mathematics Provides an aid to Modelling and Simulation from Simplest Model to more and more Sophisticated but Complex Models for Simulation.Simulation is the Safest way to study the behavior of the System under Different Environments in a non disruptive way for Different Inputs and Control Strategies.Even Empirical Formulas can be changed with the help of Mathematics for Refinement.
P.S.
In engineering (specially, Electrical, Electronics and Computer) when proto type modeling is not possible, the only source to obtain solution and to get the results, is mathematical modeling. In my work to develop one cycle differential relay, with inrush blocking, mathematical modeling was the only way, for knowing the C.T performance for Inrush for 132KV and 220KV system. One can't think of Engineering without mathematics.
There is not engineering without mathematics all engineering concepts are internally mathematically dealt and used to reduce to easy methods of solving or working which help engineers
Mathematics is a conceptual entity for defining anything/any process in nature. Engineering is the application of mathematics. In fact the most beautiful equation in the world is eix=cos x + i sin x. The beauty of this equation is that it can represent anything in the nature.
In a simplified manner and by analogy, we can say that the relationship between mathematics and engineering is the same as that between the numbers and mathematics.
'' Engineers are in essence about designing and making things for a huge number of purposes in the physical world. Applied mathematicians could be said to design or develop solutions to mathematical problems, as engineering has lots of problems that can be posed / translated in a mathematical language and are therefore valid problems for applied mathematicians to treat, and mathematical ideas can leak the other way into new or otherwise different designs for things. ''
To put in a simpler way Mathematics is sugar and engineering is the sweets made out of it. There is no sweets without sugar.
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