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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.
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.
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.
An Integral Part Of College Mathematics, Finds Application In Diverse Areas Of Science And Enginnering. This Book Covers The Subject Of Ordinary And Partial Differential Equations In Detail. There Are Ninteeen Chapters And Eight Appendices Covering Diverse Topics Including Numerical Solution Of First Order Equations, Existence Theorem, Solution In Series, Detailed Study Of Partial Differential Equations Of Second Order Etc. This Book Fully Covers The Latest Requirement Of Graduage And Postgraduate Courses.
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.
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.
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.
The book focuses on a global issue—municipal solid waste management (MSWM) and presents the most effective solutions based on energy recovery processes. There is huge potential in employing different technologies and modern management methodology for recovering energy from various waste streams to establish a sustainable and circular economy. In several countries, energy recovery from municipal solid wastes (MSW) is seen as a way of reducing the negative impact of waste on the environment and also reducing the burden on land resources. The book primarily focuses on highlighting the latest insights into energy recovery from various waste streams in different countries, with a particular emphasis on India. Further, it paves the way for sustainability in the energy sector as a whole by addressing waste management issues and simultaneous energy recovery. The chapters present high-quality research papers selected and presented in the conference, IconSWM 2018.