Numerical Methods for Engineers

✍ Scribed by Dr. Arti Kaushik

• Publisher: Rajsons Publications Pvt. Ltd.
• Year: 2018
• Tongue: English
• Leaves: 305
• Category: Library

✦ Synopsis

★ABOUT THE BOOK: I am feeling delighted to present to my readers, students and teachers,this book on Numerical Methods with codes in MATLAB and C++. This book has been primarily written for under-graduate students studying Numerical Analysis courses in universities and engineering colleges. The content in the book covers both basic concepts of numerical methods and more advanced concepts such as Partial Differential Equations. The book has been designed with the primary goal of providing students with a sound introduction of numerical methods and making the learning a pleasurable experience. The content in the book is arranged in a very logical manner with clarity in presentation. The book includes numerous examples which aid the students become more and more proficient in applying the method. A salient feature of the book is computer programs written in C++ and also in MATLAB. I have made conscious efforts to make the book student friendly. ★RECOMMENDATIONS: A textbook for all Engineering Branches, Competitive Examination, ICS, and AMIE Examinations In S.I Units For Degree, Diploma and A.I.M.E. (India) Students and Practicing Civil Engineers. ★ABOUT THE AUTHOR: Dr. Arti Kaushik (Assistant Professor), Department of Mathematics Maharaja Agrasen Institute of Technology, Rohini Sec-22, Delhi) ★BOOK DETAILS: ISBN: 978-81-89401-54-2 Pages: 298 Paperback Edition: 1st,Year-2019 Size(cms): L-24 B-16 H-1

✦ Table of Contents

i
ii
Preface- iii
Contents
Contents- vi
Contents- vii
Contents- viii
CHAPTER 1 ERRORS AND APPROXIMATIONS 1–14
CHAPTER 2 ROOTS OF NON LINEAR EQUATIONS 15–40
CHAPTER 3 SOLUTION OF SIMULTANEOUS LINEAR ALGEBRAIC EQUATIONS 41–81
CHAPTER 4 EMPIRICAL LAWS AND CURVE FITTING 82–105
CHAPTER 5 CALCULUS OF FINITE DIFFERENCES 106–124
CHAPTRT 6 INTERPOLATION FOR EQUAL INTERVALS 125–150
CHAPTER 7 INTERPOLATION WITH UNEQUAL INTERVALS 151–162
CHAPTER 8 NUMERICAL DIFFERENTIATION 163–176
CHAPTER 9 NUMERICAL INTEGRATION 177–200
CHAPTER 10 NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS 201–235
CHAPTER 11 NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS 236–268
CHAPTER 12 PROGRAMMING TOOLS ANDTECHNIQUES IN MATLAB AND C++ 269–296
Index- 297