pdf vtu 3rd sem field theory notes
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hi i need field theory notes please help me i didnt understand what teacher is teaching so search in google i got these so i m requesting help me
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In physics, a field is a physical quantity, represented by a number or a tensor, which has a value for each point in space and time. For example, in a meteorological map, the surface wind speed is described by assigning a vector to each point on a map. Each vector represents the velocity and direction of the air movement at that point. As another example, an electric field can be considered as a "condition in space" emanating from an electric charge and extending throughout the entire space. When a test electric charge is placed in this electric field, the particle is accelerated by a force. Physicists have found that the notion of a field is of such practical utility for the analysis of forces that have come to think of a force as due to a field. Neglected use of language to which physicists are prone may lead to confusion in the student if the field here means the "region" or "single point force vector" within a given region or "a vector system of the point force "within a given region OR" all point force vectors "within a given region (note the fact that the Gravitational and Electromagnetic Forces have theoretically infinite ranges).

In mathematics, a field is a set in which addition, subtraction, multiplication, and division are defined, which behave as they do when applied to rational and real numbers. A field is, therefore, a fundamental algebraic structure, which is widely used in algebra, numerical theory and many other areas of mathematics. The most well-known fields are the field of rational numbers and the field of real numbers. The field of complex numbers is also widely used, not only in mathematics, but also in many areas of science and engineering. Many other fields, such as fields of rational functions, fields of algebraic functions, fields of algebraic numbers, and p-adic fields are commonly used and studied in mathematics, particularly number theory and algebraic geometry. Most cryptographic protocols are based on finite fields, ie fields with finite elements.

Field theory is a psychological theory (more precisely: topology and vector psychology) that examines patterns of interaction between the individual and the total field, or environment. The concept first made its appearance in roots psychology to the holistic perspective of Gestalt theories. It was developed by Kurt Lewin, a Gestalt psychologist, in the 1940s. Lewin's field theory can be expressed by a formula: B = f (p, e), which means that behavior (B) is a Function of the person (p) and its environment (e).

In sociology, field theory examines how individuals construct social fields, and how they are affected by such fields. Social fields are environments in which competition takes place between individuals and between groups, such as markets, academic disciplines, musical genres, etc.

Unstable fields are defined by rapid change and often by destructive forms of competition, such as pure competition for prices, which keeps profit margins at unsustainably low levels. Thus, it is necessary to stabilize the fields with rules that ensure that competition takes non-destructive forms. Stable fields rarely arise alone, but must be built by skilled entrepreneurs. The government also frequently plays a role in this process.

The fields present different positions that the social actor can occupy. Dominant actors in the field are called headlines. They usually invest in keeping the field in its current form, as changes in competition rules can destabilise their dominant position. The camps may also contain insurgents who instead intend to alter the field so that they can successfully compete with the starters. The dramatic change in previously stable fields may come from either the successful headlines or from the intrusion of other fields, or from the change of rules imposed by the government. In general, the different field positions create different incentives. The field position is experienced by individuals in the form of motivation.
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