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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.
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...
Industrial Engineering and Production Management
For close to 20 years, Industrial Engineering and Production Management has been a successful text for students of Mechanical, Production and Industrial Engineering while also being equally helpful for students of other courses including Management. Divided in 5 parts and 52 chapters, the text combines theory with examples to provide in-depth coverage of the subject.
Graph Theory
Graphical representations have given a new dimension to the problem solving exercise in diverse subjects like mathematics, bio-sciences, chemical sciences, computer science and information technology, social sciences and linguistics. This book is devoted to the models of graph theory, and the solutions provided by these models to the problems encountered in these diverse fields of study. The text offers a comprehensive and coherent introduction to the fundamentals of graph theory, besides giving an application based approach to the subject. Divided into 13 chapters, the book begins with explicating the basics of graph theory, moving onto the techniques involved while drawing the graphs. The ...
PARTIAL DIFFERENTIAL EQUATIONS
Primarily intended for the undergraduate students of mathe-matics and engineering, this textbook meets the needs of a one-term course in partial differential equation. No specific prerequisite except basic calculus is required to understand this textbook. In this book, author has 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 partial differential equation. The book includes numerous examples and problems. Some standard problems with sufficient hints have been included at the end of each section to gauge the students’ understanding and grasp of the theory. This book will truly fulfil the requirement for an accessible textbook suitable for courses all over the universities in India.
Orissa Gazette
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DESIGN AND ANALYSIS OF ALGORITHMS
This well organized text provides the design techniques of algorithms in a simple and straight forward manner. It describes the complete development of various algorithms along with their pseudo-codes in order to have an understanding of their applications. The book begins with a description of the fundamental concepts and basic design techniques of algorithms. Gradually, it introduces more complex and advanced topics such as dynamic programming, backtracking and various algorithms related to graph data structure. Finally, the text elaborates on NP-hard, matrix operations and sorting network. Primarily designed as a text for undergraduate students of Computer Science and Engineering and Info...
