What is the difference between "arithematic" and "mathematics"?
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Mathematics- The science of numbers in all their relations and applications. (Math is a general concept including arithmetic, statistics and probability, trig., calculus, and more)\n\nArithmetic- The most elementary branch of mathematics (addition, subtraction, multiplication, division for example)
667109
Neither of them are real in the normal sense of the word.\nThey are both abstract ideas for concepts we innately understand. One is the concept we understand to represent the cardinality of a lone object. Zero is the concept of the cardinality of the empty set.\n\nThere are symbols for 0 and 1 that we can use in arithmetic manipulations, but 0 and 1 are not real objects.\n\nKind of similar to "red" you can have a red car, a red barn, a red light, but you can't have a red, it doesn't exist except as a description of something else.\n\nMathematically, both are real since the real numbers are and extension of the rationals which are an extension of the integers and zero and one are both integers.
209670
Mathematics is used whenever one has to analyze relationships between exact quantities. Since a scientific theory or hypothesis must be associated with an empirical measurement (thus the theory must be associated with measurable quantities), the language of mathematics is inseparable from most science.
712397
Like language Mathematics is a language to explain the Universe. As language has developed over the various stages of the civilization, Mathematics as subject has also developed over thousands of years. Man is prior to his devises.
498286
Mathematics was not invented; it was noticed. Then the early Babylonians started using it to make the calender we still use today. It was used for so many things! Things just kept getting noticed. Heck; I've invented 2 Theorems already. Proved 'em, too.
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Mathematics is the queen of the sciences. It is also the handmaiden of the sciences. Every scientific and engineering feat depends upon that subject. That is why it is so important.
51921
well i am going to relate this to music, why are there so many different types of instruments, they all make a different sound, all of the different types of mathematics have different purposes.  Geometry begins to define properties of the world around us, Algebra begins to get us used to workign with variables and the unknown.  Calculus is used to interpret the world around us.  There are many other types too, examples are statistics, they can be anything from sports highlights, what we need to do to fix an intersection to decrease traffic backup.  This is a very brief explaination, but i hope it helps!
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Arithmetic means you add a certain number to each term to obtain the next term.\n\nGeometric means you multiply each term by a certain number to obtain the next term.\n\nLook at (A).  You get each term by multiplying the previous term by 1.5, so it's geometric.\n\n(B) is neither.  The additive number changes from term to term, so it's not arithmetic.  No multiplication is involved, so it's not geometric.
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mathematics\n\nScience of structure, order, and relation that has evolved from counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation. Since the 17th century it has been an indispensable adjunct to the physical sciences and technology, to the extent that it is considered the underlying language of science. \n\nAmong the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry.
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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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Philosophy is about asking questions.\nPhysics is about answering questions.
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Your question cannot be answered.\n\nReason and faith are unrelated.  More, they are unrelatable.\n\nIt is a confusion of terms to consider the vernacular "belief", implying an awareness of facts which are subject to confirmation and disproof, with "belief" in the context of faith and religion, where the tenets are merely stated.\n\nEven within the technical arena, even within that most exacting of disciplines, mathematics, there remain elements that are the subject of belief without proof and without the possibility of proof (Kurt Godel).  \n\nFaith and reason are disjoint, and the tools of one are inadequate for a study or analysis of the other.  Therefore your question is improper, from a logical viewpoint, and the concept of a rational explanation of faith has no meaning.
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"Maths" is a contraction of "mathematics", a short way to say and write it.  It includes all branches of maths, e.g. arithmetic, algebra, geometry, trigonometry, statics, differential and integral calculus, quantum mechanics, etc. As you can see, arithmetic is a subset of mathematics.  Arithmetic deals with the manipulation of real numbers only.
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Mathematics is the study of quantity, structure, space and change. It developed, through the use of abstraction and logical reasoning, from counting, calculation, measurement, and the study of the shapes and motions of physical objects.
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Religion = compiled folktales.\nScience = measured method.  \n\nDo the math.
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It is hard to put into plain English what we mean using mathematical terms.  The math has specific and unambiguous meaning.  English is full of wonderful double meanings and shades of meanings.  Once you learn the language of math you appreciate its beauty and power.  But, it is still a good idea to try to make yourself intelligible to the uninitiated.
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Algebra and all the Maths that one learns at school and college are tools which are ultimately used by Scientists, engineers, doctors, and almost all the people who have something to do with science. Even social scientists like historians and sociologists use it. \n\nIt may seem abstract but Maths is the underlying machinery of the Universe.