Math Homework Help, Math
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. The evolution of mathematics might be seen as an ever-increasing series of abstractions, or alternatively an expansion of subject matter.
Physics is a kind of subject which explains the various nature of different kind of forces also it demonstrates the rigorous nature of the fluids.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.
Without doubt, all mathematical development has its psychological roots in more or less practical requirements. But once started under the pressure of necessary applications, it inevitably gains momentum in itself and transcends the confines of immediate utility. This trend from applied to theoretical science appears in the ancient history as well as in many contributions to modern mathematics by engineers and physicists.
Few mathematicians also call it as “the science that draws necessary conclusions". Albert Einstein, on the other hand, stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.
Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity as suggested according to earlier written records.
Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and game theory.
Mathematics can, broadly speaking, be subdivided into the study of quantity, structure, space, and change. In addition to these main concerns, there are also subdivisions dedicated to exploring links from the heart of mathematics to other fields: to logic, to set theory (foundations), to the empirical mathematics of the various sciences (applied mathematics), and more recently to the rigorous study of uncertainty.
After a period of slow preparation, the revolution in mathematics and science began its vigorous phase in the seventeenth century with analytical geometry retained an important place. Logically precise reasoning starting from clear definitions are non-contradictory, “evident” axioms, seemed immaterial.
Further mathematics has been divided into many parts such as:
Sets and Relations.
Functions.
Trigonometry.
Complex numbers.
Quadratic Equations.
Inequalities
Progressions and Series.
Permutations and Combinations.
Binomial Theorem.
Pair of Straight lines.
Circles
Parabola.
Ellipse.
Hyperbola.
Matrices and Determinants.
Limits and Continuity.
Differentiation.
Application of Derivatives.
Indefinite Integration.
Definite Integration.
Area under Curves.
Differential Equations.
3-d Geometry.
Vectors.
Statistics.
Trigonometry: Based on dimensions of angular measurements and deals with the study of various properties of triangles, such as relationship between sides and angles.
Algebra: It is the branch of mathematics that deals with the study of rules of operations and relations, and the constructions and concepts arising from them, which includes terms, polynomials, equations and algebraic structures.
Geometry: This branch of Mathematics is concerned with shape, size, relative position of figures, and the properties of space.
Calculus: This branch deals with the study change, which is further divided into two major parts as differential calculus and integral calculus.
Statistics: This branch deals with the study of converting numerical data into tabular or graphical form based on the analysis or reports generated.
Posted by Noma | Posted Date: 9/11/2011 7:06:04 AM
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