The subject of real analysis is concerned with studying the behavior and properties of functions, sequences, and sets on the real number line, which we denote as the mathematically familiar R. Concepts that we wish to examine through real analysis include properties like Limits, Continuity, Derivatives (rates of change), and Integration (amount of change over … Read more
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers. A field is thus a fundamental algebraic structure, which is widely used in algebra, number theory and many other areas of mathematics. The best known fields are … Read more
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The Central Board of Secondary Education (CBSE) conducts the National Eligibility Test (NET) twice a year to determine the eligibility for lectureship and for award of Junior Research Fellowship (JRF). The examination is conducted on the lines of the examination pattern issued by the UGC for General Paper-1. PAGE:- 1565 The present book for General … Read more
UGC CSIR CBSE NET/JRF/SLET/SET (National Eligibility Test) General Paper-1 Notes on Teaching and Research Aptitude, Reading Comprehension, Communication, Reasoning (including Mathematical). Logical, Data Interpretation, Information and Communication Technology (ICT), People and Environment, Higher Education System: Governance, Polity and Administration. Free download of Solved Papers, Books, Study Materials. NOTE: jigssolanki.in does not own this book, neither created … Read more
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In algebra, ring theory is the study of ring algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers. Ring theory studies the structure of rings, their representations, or, in different language, modules, special classes of rings (group rings, division rings, universal enveloping algebras), as … Read more
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in … Read more
Numerical analysis continues this long tradition of practical mathematical calculations. Much like the Babylonian approximation of the square root of 2, modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice. Instead, much of numerical analysis is concerned with obtaining approximate solutions while maintaining reasonable bounds on … Read more