It is argued that mathematics allows economists to form meaningful, testable propositions about wide-ranging and complex subjects which could less easily be expressed informally. Further, the language of mathematics allows economists to make specific, positive claims about controversial or contentious subjects that would be impossible without mathematics. Much of economic theory is currently presented in terms of mathematical economic models, a set of stylized and simplified mathematical relationships asserted to clarify assumptions and implications. The book is a detailed study of each and every important aspect of subject. Each aspect is discussed in a systematic and rational manner. The important objectives of writing this book is to equip the reader with enough fundamental issues relating to different aspect of the subject. Contents: Mathematical Optimization • Theory of Equations • Differential Equations • Functional Analysis • Marginalism • Matrix and Determinant • Probability Distribution • Limits and Continuity of Functions • Sets, Relations and Functions • Radius of Curvature • Integrals.
