Ramanand Singh – författare

Analytic geometry, or analytical geometry, has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning. In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth. Analytic geometry is widely used in physics and engineering, and is the foundation of most modern fields of geometry, including algebraic, differential, discrete, and computational geometry. Presentation of matter in this textbook is very simple and lucid and has covered wide variety of problems, solved and unsolved both. This book will also provide great help to those who are preparing for IAS/PCS and various other competitive examinations which demands coordinate geometry of two and three dimension and vector calculus in one book.

Differential calculus is probably the greatest mathematical tool ever created for physics. It enabled Newton to develop his famous laws of dynamics in one of the greatest science book of all time, the Philosophiae Naturalis Principia Mathematica. Since then, differential calculus has had countless of other applications, like, for instance, in biodiversity, economics or optimization. It is hard to stress how essential it has become. The present publication has been written in the light of the latest syllabi of several universities. The subject matter has been presented in such a way that it is easily accessible to students. All important propositions have been illustrated by a large number of solved examples and exercises. Most of the examples have been taken from the examination papers of several universities. The method of presentation is very clear and lucid, which can be easily followed by the students. The contents conform to the specified syllabi and are so structured as to enable the student to move easily from the fundamental to the complex.

Integral Calculus is a comprehensive theory cum practice book and covers all aspects of the topic. It helps sharpen the problem solving skills in Calculus through Solved and Unsolved Problems. The solutions to the problems are supported by time saving strategies along with tips to avoid mistakes while applying the laws of Calculus. Basics of Integral Calculus is a unique textbook on integration, aiming at providing a fairly complete account of the basic concepts required to build a strong foundation for a student endeavouring to study this subject. The analytical approach to the major concepts makes the book highly self-contained and comprehensive guide that succeeds in making the concepts easily understandable. All the elementary principles and fundamental concepts have been explained rigorously, leaving no scope for illusion or confusion. This book ‘Integral Calculus’ is intended to the students appearing for undergraduate examinations. Many efforts have been made to present this subject matter in a manner as to enable a student of ordinary caliber to solve the problems without any external to the student of higher caliber in solving challenging problems.

Statistics as a discipline is the development and application of methods to collect, analyse and interpret data. Modern statistical methods involve the design and analysis of experiments and surveys, the quantification of biological, social and scientific phenomenon and the application of statistical principles to understand more about the world around us. Since data are used in most areas of human endeavour, the theory and methods of modern statistics have been applied to a wide variety of fields. Some areas that use modern statistical methods are the medical, biological and social sciences, economics, finance, marketing research, manufacturing and management, government, research institutes and many more. Exciting new areas are opening up, due to developments in areas such as biotechnology, survey research and computing. This book has been written by the author in such a manner that even a layman could be able to understand the subject in detail and can use when ever required. The language used in quite easy and the examples quoted are very helpful in understanding the subject.