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ORDINARY DIFFERENTIAL EQUATIONS
This thoroughly revised text, now in its Second Edition, continues to provide a comprehensive treatment of the principal topics of ordinary differential equations, special functions and Laplace transform, and demonstrates the utility of the subject through a variety of applications to engineering problems. The text provides detailed logical explanations of the subject’s theoretical foundations, while at the same time helping students develop strong problem-solving skills. In addition, a large number of solved examples interspersed throughout the text help in providing the students with an in-depth insight into the underlying concepts and their applicability to solutions of problems in engineering and physical sciences. The book is intended to serve as a textbook for undergraduate students of mathematics as well as all branches of engineering. NEW TO THE SECOND EDITION Contains two new sections, one on Methods of Regrouping and another on Independent Functions. Includes numerous solved problems and chapter-end exercises with hints.
DISCRETE MATHEMATICS AND GRAPH THEORY
This textbook, now in its fourth edition, continues to provide an accessible introduction to discrete mathematics and graph theory. The introductory material on Mathematical Logic is followed by extensive coverage of combinatorics, recurrence relation, binary relations, coding theory, distributive lattice, bipartite graphs, trees, algebra, and Polya’s counting principle. A number of selected results and methods of discrete mathematics are discussed in a logically coherent fashion from the areas of mathematical logic, set theory, combinatorics, binary relation and function, Boolean lattice, planarity, and group theory. There is an abundance of examples, illustrations and exercises spread th...
PROBABILITY AND STATISTICS
Designed as an introductory-level text, this accessible book gives a clear explanation of the fundamental principles of probability and statistics. In doing so, it uses only the minimum amount of mathematics that is necessary for understanding the concepts, so that even an average student can understand the concepts with ease. The text gives a coherent and comprehensive coverage of the fundamental principles of probability and statistics. The methods of computation of probability are presented in a concise and clear manner with the help of the concepts of probability distribution and integral calculus. The text provides a large number of solved examples to illustrate the principles. Graphica...
NUMERICAL ANALYSIS
Offering a clear, precise and accessible presentation, this book gives students the solid support they need to master basic numerical analysis techniques. It is suitable for a course in Numerical Methods for under-graduate students of all branches of engineering, students of Master of Computer Applications (MCA) and Bachelor of Computer Applications (BCA), and students pursuing diploma courses in engineering disciplines. The book can also serve as a useful reference for students of mathe-matics and statistics. The book focuses on core areas of numerical analysis such as errors in numerical computation, root finding, solution of algebraic equations, interpolation, numerical calculus, initial value problems, boundary value problems and eigenvalues. The underlying mathematical concepts are high-lighted through numerous worked-out examples. The section-end exercises contain plenty of problems with appropriate hints in order to motivate the students to work out problems for a deeper insight into subject concepts.
SPECIAL FUNCTIONS AND COMPLEX VARIABLES
This well-received book, which is a new edition of Textbook of Engineering Mathematics: Special Functions and Complex Variables by the same author, continues to discuss two important topics—special functions and complex variables. It analyzes special functions such as gamma and beta functions, Legendre’s equation and function, and Bessel’s function. Besides, the text 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 the trigonometric and hyperbolic func...
COMPLEX ANALYSIS
Primarily intended for the undergraduate students of engineering and postgraduate students of mathematics, this textbook is aimed to provide an introduction to the theories for functions of a complex variable. No specific prerequisite except basic calculus and familiarity with differential equations is required to understand this textbook. In this book, author tried his best to preset all related formula with few standard examples worked out according to the derived formula to make the book precise. The notations used in this textbook are commonly used by mathematicians. Considerable use has been made of illustrations to stimulate the students’ visual understanding of complex variables. Th...
TENSORS
The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information about the tensors along with the derivation of all the tensorial relations/equations in a simple manner. The book also deals in detail with topics of importance to the study of special and general relativity and the geometry of differentiable manifolds with a crystal clear exposition. The concepts dealt within the book are well supported by a number of solved exam...
CALCULUS OF VARIATIONS WITH APPLICATIONS
Calculus of variations is one of the most important mathematical tools of great scientific significance used by scientistis and engineers. Unfortunately, a few books that are available are written at a level which is not easily comprehensible for postgraduate students.This book, written by a highly respected academic, presents the materials in a lucid manner so as to be within the easy grasp of the students with some background in calculus, differential equations and functional analysis. The aim is to give a thorough and systematic analysis of various aspects of calculus of variations.
Ordinary and Partial Differential Equations
This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations
COMPUTER ORIENTED NUMERICAL METHODS
This book is a concise and lucid introduction to computer oriented numerical methods with well-chosen graphical illustrations that give an insight into the mechanism of various methods. The book develops computational algorithms for solving non-linear algebraic equation, sets of linear equations, curve-fitting, integration, differentiation, and solving ordinary differential equations. OUTSTANDING FEATURES • Elementary presentation of numerical methods using computers for solving a variety of problems for students who have only basic level knowledge of mathematics. • Geometrical illustrations used to explain how numerical algorithms are evolved. • Emphasis on implementation of numerical algorithm on computers. • Detailed discussion of IEEE standard for representing floating point numbers. • Algorithms derived and presented using a simple English based structured language. • Truncation and rounding errors in numerical calculations explained. • Each chapter starts with learning goals and all methods illustrated with numerical examples. • Appendix gives pointers to open source libraries for numerical computation.
