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The book is designed to serve as a textbook for the students of engineering.The book spread in fifteen chapters broadly discusses:" Convergence and divergence of the infinite series." Mean value theorems and expansions of functions." Functions of several variables." Curvature, evolutes and envelopes." Curve tracing." Lengths, curves, volumes and surfaces of revolution. " Multiple integrals." First order and first degree differential equations." Orthogonal trajectories and other geometrical application." Higher order differential equations." Linear differential equations with constant coefficients." Applications of differential equations." Laplace transforms." Vector calculus, gradient, divergence and curl of functions." Green s, Gauss s and Stoke s theorems.
This is the nineteenth edition of the book “Engineering Mathematics-I”. The earlier editions have received positive response from the teachers and the students. This text book has been written strictly according to the revised syllabus (R18) 2018-19 of first year (First Semester) B. Tech students of JNTU, Hyderabad. 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, previous GATE questions are included at the end of each chapter. The topics has been made as simple as possible and in some instances the detailed explanation is given, to understand content with a minimum effort.
This Jntu, Hyderabad Edition Is Designed For The Core Course On The Subject And Presents A Detailed Yet Simple Treatment Of The Fundamental Principles Given In The Syllabus. All Basic Concepts Have Been Comprehensively Explained And Illustrated Through A Variety Of Solved Examples. Instead Of Too Much Mathematically Involved Illustrations, A Step-By-Step Approach Has Been Followed Throughout The Book.Unsolved Problems, Objective And Review Questions Along With Short-Answer Questions Have Been Also Included For A Thorough Grasp Of The Subject. Graded Problems Have Been Included. The Book Would Serve As An Excellent Text For The Subjects Mathematics-I (Common To All Branches), Mathematics-Ii/Mathematical Methods, Probability And Statistics And Partly For Numerical Methods. The Students Are Advised To Refer The Syllabus For The Respective Branches As This Has Been Framed Branch-Wise And For The Need In A Particular Semester.
Special Features: · Strictly as per syllabus of JNTU.· Question bank from last five-year papers included.· Large number of solved problems and examples.· Stepwise derivations of complex equations and proofs of theorems.· Applications of the concepts explained in a lucid manner.· Summary provided for quick review of concepts at the end of the chapter.· Last five year questions given as an Appendix at the end of the book.Pedagogy- 200+ illustrations- 800+ concept check questions- 300+ solved and explanatory examples- 250+ review questions and problems About The Book: An attempt is made to fine-tune the components of this book, keeping in view the requirements of the undergraduate curriculum of JNTU.This book is a modest effort to enhance the conceptual understanding of the learners and to improve the application capability in their respective branches of Engineering and Technology. This user-friendly textbook consists of relevant illustrations, concepts and additional information. It is also helpful for the teachers and researchers to develop qualitative mathematical ability. In tune with the needs of the students, adequate care has been taken to incorporate all the necessary topics.
This Thoroughly Revised Edition Is Designed For The Core Course On The Subject And Presents A Detailed Yet Simple Treatment Of The Fundamental Principles Involved In Engineering Mathematics. All Basic Concepts Have Been Comprehensively Explained And Illustrated Through A Variety Of Solved Examples. Instead Of Too Much Mathematically Involved Illustrations, A Step-By-Step Approach Has Been Followed Throughout The Book. Unsolved Problems, Objective And Review Questions Along With Short Answer Questions Have Been Also Included For A Thorough Grasp Of The Subject. Graded Problems Have Been Included From Different Examinations.The Book Would Serve As An Excellent Text For Undergraduate Engineering And Diploma Students Of All Disciplines. Amie Candidates Would Also Find It Very Useful. The Topics Given In This Book Covers The Syllabuses Of Various Universities And Institutions E.G., Various Nit S, Jntu, Bit S Etc.
Engineering Mathematic
Unit I 1. Real And Complex Matrices And Linear System Of Equations 2. Eigen Values And Eigen Vectors 3. Quadratic Forms Unit Ii 4. Solution Of Algebraic And Transcendental Equations 5. Interpolation 6. Curve Fitting Unit Iii 7. Numerical Differentiation And Integration 8. Numerical Solution Of Ordinary Differential Equations Unit Iv 9. Fourier Series 10. Fourier Transforms Unit V 11. Partial Differential Equations