What is the difference between discrete Mathematics and other mathematics?
963221
Discrete means individual and noncontinuous. There is "space" between consecutive elements. In discrete mathematics, you do a lot of counting. Some topics grouped under discrete mathematics include game theory and graph theory.
29898
Well it depends on what you want to define as a "number". Since you have already included imaginary and complex numbers, I might suggest you look at Hamilton's quaternions, which are noncommutative, and the nonassociative Cayley numbers, as well as Cantor's transfinite numbers. \n\nOf course, if we follow Leopold Kronecker, we might ignore everything except the integers:\n\n"God created the integers," wrote mathematician Leopold Kronecker, "All the rest is the work of Man."
1074474
For a carefully structured, coherent, and comprehensive course of discrete mathematics, the approach is traditional, deductive, and straightforward, with no unnecessary abstraction. It is self-contained including all the fundamental ideas in the field. It can be approached by anyone with basic competence in arithmetic and experience of simple algebraic manipulations. Students of computer science whose curriculum may not allow the study of many ancillary mathematics courses will find it particularly useful. Mathematics students seeking a first approach to courses such as graph theory, combinatorics, number theory, coding theory, combinatorial optimization, and abstract algebra will also enjoy a clear introduction to these more specialized fields. You will want to present descriptions of numerous algorithms on a form close to that of a real programming language. To enable students to develop practical programs from the design of algorithms. Students of mathematics and computer science seeking an eloquent introduction to discrete mathematics should see the the source for further information.
510171
Arithmetic is just one branch of mathematics, namely that involving basic techniques of calculation with numbers. When you add, subtract, multiply, divide, take square roots, and so on, you are doing arithmetic. When you solve an equation you are doing algebra. When you determine relations between shapes or find their area, you are doing \ngeometry (though the latter calculation will be done by applying arithmetic to the geometric formulas). Most of what young children learn in math is arithmetic.
1172502
Similar to speaking another language you need to think in terms of the different number system, which amounts to re-learning the addition and multiplication tables.\n\nFor instance in octal or base 8, there would be some differences.  Sure 1 + 1 = 2, and 2 + 2 = 4, but 4 + 4 = 10!!\n\nWith a little practive you could even do multiplication and division, but like decimal, it is still easier to use a calculator.
314886
What else... Physics!\n\nSince your question is very comman, the commanest answer would be "Physics".\n\nIn case you have any particular concept in mind state it clearly in your question then the model with respect mathematics can be given sooooooon.
305407
Yes! Big difference. Arithmetic has to do with simple operations of only numbers involving +, -, /, and x. (adding, subtracting, dividing, and multiplying). Mathematics encompasses EVERY kind of math, from arithmetic to calculus to linear algebra to the stuff they used for the physics to build the atomic bomb.
852179
I consider as basic science the mathematics. But after this , the physics seems the more basic science. I understand that people prefer consider physics as basic science since it is more realistic than maths
747450
Sounds like Combinatorics.  Combinations, permutations, a bit of graph theory, discrete math, I usually describe it as "Advanced Counting".
849020
For arithmetic progressions, the difference between consequtive terms is a constant.  \n\nfor \n1) each will differ by 3\n2) each differs by 4,\n\nthe general form is a0 + (k-1)*d where d is the difference.\n\nBtw, for geometric progressions, it's the ratio between terms that's constant, not the difference.
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binomials-A polynomial with two terms. \n\ntrinomials-An algebraic expression consisting of three terms connected by plus or minus signs
326607
Well the basic principles of mathematics are available to everyone.  People from any background intuitively understand core mathematical principles, such as A is equal to A, This amount plus this amount creates a new amount.  7 is greater than 5.\n\nLanguage on the other hand is entirely learned, and cannot be assumed without some experience in a culture.  Also language involves several different parts of the brain to speak, read, comprehend, and develop ideas.  \n\nOn the other hand, some mathematical constructs like calculus can only be shared through the use of a language, like english.  At this point mathematics can be much more elusive to understand than english.
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Devin is wrong .By opposite integers we mean the same natural number with opposite signs.Difference of two numbers is obtained by subtrating one from the other.Hence while subtracting one  number from its opposite,the signs will change and we can never get zero as the result.
7873
well in the demostrantion of the Real numbers...\n\nall the numbers and relations depend of the existence of 1... suck that there are some rules..\n\nso we even demostrate that 1 exists... and that 1 > 0... after that we can prove the existence of any other Real number..
800839
Mathematics is the language of science.  It is how scientific models are defined and universally understood.
91308
Abstract mathematics is a huge field, with many parts. I would say, the simplest way to think about is that it is not focused on applications, like problems from engineering, or physics, or chemistry or economics. The problems in pure math, or abstract math, come from the field itself. \n\nIn real math, there is very little done with arithmetic. It all is about constructing rules for systems, called axioms, and then finding out what the implications of those axioms are. The main activity is doing proofs, which can be very challenging. \n\nIt includes things like set theory, and number theory. \n\nAnd for 2+2=5: if you set up your axioms the right way, you can prove anything. For example, what do the symbols 2, +, = and 5 mean anyway?
704806
For discrete events, the basic procedure is to list all possible outcomes, and the probability of each (which must add up to 1). The probability of being in one of an identifiable smaller group of outcomes (called a subset) is simply the sum of the individual probabilities of the outcomes within that group.\n\nFor example, if you have two distinguishable dice, there are 36 different ways they can be rolled. If the dice are unweighted, the probability of each is 1/36. Of those, 6 add up to 7. That means the odds of getting 7 are 6/36=1/6.