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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.
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.
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...
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...
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.
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...
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...
Self Portrait in Green
'NDiaye is a hypnotic storyteller with an unflinching understanding of the rock-bottom reality of most people's life.' New York Times ' One of France's most exciting prose stylists.' The Guardian. Obsessed by her encounters with the mysterious green women, and haunted by the Garonne River, a nameless narrator seeks them out in La Roele, Paris, Marseille, and Ouagadougou. Each encounter reveals different aspects of the women; real or imagined, dead or alive, seductive or suicidal, driving the narrator deeper into her obsession, in this unsettling exploration of identity, memory and paranoia. Self Portrait in Green is the multi-prize winning, Marie NDiaye's brilliant subversion of the memoir. Written in diary entries, with lyrical prose and dreamlike imagery, we start with and return to the river, which mirrors the narrative by posing more questions than it answers.
