This thesis explores noncommutative geometry, a mathematical framework that generalizes classical geometry by allowing noncommutative coordinates. Noncommutative geometry has applications in both mathematics and physics, particularly in quantum mechanics and string theory. The thesis begins with an introduction to the concept of noncommutativity, which is central to both fields. It then provides a background in mathematics and physics, including tensor fields, manifolds, and the metric tensor. The thesis then discusses noncommutative geometry in the context of string theory, where it arises naturally in certain limits. It also introduces noncommutative field theories and explores the effects of applying the star product to classical field theories. The Seiberg-Witten map is introduced as a tool for mapping noncommutative field theories to commutative ones, and its implications for gravity are discussed. The thesis also presents a generalization of the Seiberg-Witten map that is a symmetry of noncommutative field theories. Finally, the thesis concludes with a discussion of the broader implications of noncommutative geometry, including its potential role in quantum gravity and the limitations of current approaches. The thesis emphasizes the importance of noncommutative geometry in understanding the fundamental structure of space-time and its potential applications in theoretical physics.This thesis explores noncommutative geometry, a mathematical framework that generalizes classical geometry by allowing noncommutative coordinates. Noncommutative geometry has applications in both mathematics and physics, particularly in quantum mechanics and string theory. The thesis begins with an introduction to the concept of noncommutativity, which is central to both fields. It then provides a background in mathematics and physics, including tensor fields, manifolds, and the metric tensor. The thesis then discusses noncommutative geometry in the context of string theory, where it arises naturally in certain limits. It also introduces noncommutative field theories and explores the effects of applying the star product to classical field theories. The Seiberg-Witten map is introduced as a tool for mapping noncommutative field theories to commutative ones, and its implications for gravity are discussed. The thesis also presents a generalization of the Seiberg-Witten map that is a symmetry of noncommutative field theories. Finally, the thesis concludes with a discussion of the broader implications of noncommutative geometry, including its potential role in quantum gravity and the limitations of current approaches. The thesis emphasizes the importance of noncommutative geometry in understanding the fundamental structure of space-time and its potential applications in theoretical physics.