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Purpose of this Book Ø To quick revision of all topics for how to solve various problems of Engineering Mathematics III according to chapters before going to a day of exam. Ø To supply collection of Mathematical formulae, Introduction, Definition, Proofs, Derivations, Steps of How to Solve Examples and tables this will prove to be valuable to students in the field of mathematics. About the Book Many books have been written on Engineering Mathematics III by different authors and teachers in India but majority of the students find it difficult to fully understand the examples in these books. Also the Teachers have faced many problems due to paucity of time and classroom workload. Sometimes the college teacher is not able to help their own student in solving many difficult questions in the class even though they wish to do so. Keeping in mind the need of the students, the author were inspired to write a suitable text book of “The Handbook on Engineering Mathematics III” of Engineering Mathematics III. PREFACE It gives me great pleasure to present to you this book on A Textbook on “The Handbook on Engineering Mathematics III” presented specially for you. It is sincerely hoped that this handbook will help and better equipped the engineering under graduate students to prepare and face the examinations with better confidence. I have endeavored to present the book in a lucid manner which will be easier to understand by all engineering students. It is hoped that this book will meet more than an adequately the needs of the students they are meant for. I have tried our level best to make this book error free. Any suggestions for the improvement of the book would be most welcome and gratefully acknowledged.
Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.
This is the sixteenth edition of the book “Engineering Mathematics-I”. The earlier editions have received positive response from the teachers and the students. This textbook has been written conferring to the revised syllabus (R19) of first year (First Semester) of B. Tech students of JNTU, Anantapur. In this edition some topics have been updated. The previous question paper problems have been included at appropriate places. For the benefit of the students, the previous GATE questions have been included at the end of each chapter. The topics has been made as simple as possible and in some instances detailed explanation
Purpose of this Book The purpose of this book is to supply lots of examples with details solution that helps the students to understand each example step wise easily and get rid of the College assignments phobia. It is sincerely hoped that this book will help and better equipped the higher secondary students to prepare and face the examinations with better confidence. I have endeavored to present the book in a lucid manner which will be easier to understand by all the engineering students. About the Book Many books have been written on Engineering Mathematics by different authors and teachers in India but majority of the students find it difficult to fully understand the examples in these books. Also the Teachers have faced many problems due to paucity of time and classroom workload. Sometimes the college teacher is not able to help their own student in solving many difficult examples in the class even though they wish to do so. Keeping in mind the need of the students, the author were inspired to write a suitable text book providing solutions to various examples of Engineering Mathematics – III, Volume – 1 and Volume – 2. Preface It gives me great pleasure to present to you this book on A Textbook of “Engineering Mathematics – III”, Volume 1 presented specially for you. Many books have been written on Applied Mathematics by different authors and teachers in India but majority of the students find it difficult to fully understand the examples in these books. Also the Teachers have faced many problems due to paucity of time and classroom workload. Sometimes the college teacher is not able to help their own student in solving many difficult examples in the class even though they wish to do so. Keeping in mind the need of the students, the author were inspired to write a suitable text book providing solutions to various examples of “Engineering Mathematics - III”, Volume 1. It is hoped that this book will meet more than an adequately the needs of the students they are meant for. I have tried our level best to make this book error free.
This thoroughly revised book, now in its third edition, continues to discuss two important topics—special functions and complex variables. Chapters have been rearranged keeping in view the current syllabi of the universities. The book analyzes special functions, Legendre’s equation and function, and Bessel’s function. It explains how to solve Cauchy equations, differential equation with variable coefficients and Frobenius of solving differential equation at a regular singular point. Besides, the text also explains the notions of limit, continuity and differentiability by giving a thorough grounding on analytic functions and their relations with harmonic functions. In addition, the book introduces the exponential function of a complex variable, and with the help of this function, defines trigonometric and hyperbolic functions and explains their properties. While discussing different mathematical concepts, the book discusses a number of theorems such as Cauchy’s integral theorem for the integration of a complex variable, Taylor’s theorem for the analysis of complex power series, the residue theorem for evaluation of residues, the argument principle and Rouche’s theorem for the determination of the number of zeroes of complex polynomials. Finally, the book gives a thorough exposition of conformal mappings and develops the theory of bilinear transformation. Intended as a textbook for engineering students, this book will also be useful for undergraduate and postgraduate students of mathematics. NEW TO THE THIRD EDITION • Includes a new chapter on ‘Linear Ordinary Differential Equations with Variable Coefficients and Series Solutions’ • Incorporates ‘Short Questions and Answers’ to help students to prepare for examinations • Provides several worked-out problems and previous years’ questions and also includes more MCQs and exercises in each chapter