It opens with a brief outline of the essential properties of rational numbers and using Dedekind’s cut, the properties of real numbers are established. This foundation supports the subsequent chapters: topological framework real sequences and series, continuity differentiation, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, Lebesgue integrals, surface, double and triple integrals are discussed in detail.

Uniform convergence, Power series, Fourier series, Improper integrals have been presented in as simple and lucid manner as possible and fairly large number solved examples to illustrate various types have been introduced (less)

Beginning with the theory of quadratic equations and complex numbers and their properties, it then goes to discuss the concepts of functions, their limit, continuity, differentiability and integrability. The text discusses the applications of these concepts in the fields of chemistry, geology and business.

Partial differentiation along with the related results has also been given. The text also discusses the methods of solving ordinary differential equations and the applications of these differential equations to archaeology, population studies and business management etc.

Matrices and determinants form a part of the book along with the Leontief input-output model, which plays a key role in economics and business management. The book also covers topics like vectors, progressions, permutation, combination and binomial theorem along with their applications (less)

Besides significant practical aspects, several minute details are included so that further modifications in the models can be carried out in future by the potential researchers. The model construction are drawn to match the objectives of the modelling (less)

The Book Discusses The Theory From Its Very Beginning. The Foundations Have Been Laid Very Carefully And The Treatment Is Rigorous And On Modem Lines.

It Opens With A Brief Outline Of The Essential Properties Of Rational Numbers And Using Dedekinds Cut, The Properties Of Real (less)

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540 More Details (less)