A Problem Book MATHEMATICAL ANALYSIS by GN BERMAN
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The ‘Classic Text Series’ is the only of its kind selection of classic pieces of work that started off as bestseller and continues to be the bestseller even today. These classic texts have been designed so as to work as elementary textbooks which play a crucial role in building the concepts from scratch as in-depth knowledge of concepts is necessary for students preparing for various entrance examinations.
The present book Problem Book on Mathematical Analysis presents a collection of problems and exercises that are systematically selected and arranged in compliance with the major sections of the course in mathematical analysis. This book does not contain any theoretical content but contains large number of problems for the purpose of thorough practice of the various concepts covered under the sphere of mathematical analysis. The book has been divided into 16 chapters namely Function, Limit, Continuity, Derivative & Differential Calculus, Investigating Functions & Their Graphs, The Definite Integral, Indefinite Integral, Integral Calculus, Methods for evaluating Definite Integrals, Improper Integrals, Application of Integral Calculus, Series, Functions of Several Variables – Differential Calculus, Application of Differential Calculus of Functions of Several Variables, Multiple Integrals, Line Integrals & Surface Integrals, Differential Equations, Trigonometric Series and Elements of Field Theory, each subdivided into parts for effective understanding of the concepts. Also before problems on physics, necessary information has also been given. The more difficult problems have been supplied with hints and their solutions can be found in the answers section. The tables of the value of basic elementary functions have been covered under the appendix section.At the end of each chapter, unsolved practice exercises have been provided to help aspirants revise the concepts discussed in the chapter. At the end of the book answers and solutions to all the problems have also been provided
As the book covers the varied aspects of Mathematical Analysis with the help of ample number of examples and practice questions, it for sure will serve as a complete textbook for practicing the various elements of Mathematical Analysis.