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Important topics like Simple Eigen Value Problems, Determination of Particular Integrals by the method of undetermined coefficients and by tghe method of variation of parameters have been included in the book.
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In the present volume the 'analysis' part has been throughly modified according to the new concepts and notations. The 'application' part is rich enough and almost no modification was required.
The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, which is a unique feature of a textbook at this level. The standard material is complemented by topics usually not found in comparable textbooks, for example, elementary functions are rigorously defined and their properties are carefully derived and an introduction to Fourier series is presented as an example of application of the Lebesgue integral. The text is for a post-calculus course for students majoring in mathematics or mathematics education. It will provide students with a solid background for further studies in analysis, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof. Request Inspection Copy
The book has been designed to cover the entire syllabus in Intergral Calculus and Ordinary Differential Equations for 3rd year B.A/B.Sc course in mathematics.
In this book the notion of a Vector has been approached from two points of view - Geometric and Algebraic. The relationship between the two has also been established.
The present volume, aimed at Honours level students of Degree courses of all major Indian and South Asian universities.
This book covers the elements of Abstract Algebra, which is a major mathematics course for undergraduate students all over the country and also for first year postgraduate students of many universities. It is designed according to the new UGC syllabus prescribed for all Indian universities.