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Number Theory
This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.
A Course in Abstract Algebra,
The book starts with a brief introduction to results from Set theory and Number theory. It then goes on to cover Groups, Rings, Fields and Linear Algebra. The topics under groups include Subgroups, Finitely generated abelian groups, Group actions, Solvable and Nilpotent groups. The course in ring theory covers Ideals, Embedding of rings, Euclidean domains, PIDs, UFDs, Polynomial rings and Noetherian (Artinian) rings. Topics in field include Algebraic extensions, Splitting fields, Normal extensions, Separable extensions, Algebraically closed fields, Galois extensions, and Construction by ruler and compass. The portion on linear algebra deals with Vector spaces, Linear transformations, Eigen spaces, Diagonalizable operators, Inner product spaces, Dual spaces, Operators on inner product spaces etc. The theory has been strongly supported by numerous examples and workedout problems. There is also a plenty of scope for the readers to try and solve problems on their own. The book is designed for undergraduate and postgraduate students of mathematics. It can also be used by those preparing for various competitive examinations.
Climatological Data
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Optical Communication Technology
The optical world is continuously and rapidly evolving, and new challenges arise every day. As a result of these rapid changes, the need for up-to-date texts that address this growing field from an interdisciplinary perspective persists. This book presents an overview of new optical communication technologies and a bird's-eye view of some of the more promising technologies among them. The book covers the theoretical but also the practical aspects of technology implementation in a way that is suitable for undergraduate- and graduate-level students, as well as researchers and professional engineers.
Agricultural Engineering
A broad coverage of basic & applied research projects dealing with the application of engineering principles to both food production & processing. Land and water use; Agricultural buildings; Agricultural mechanisation; Power & processing; Management & ergonomics. About 450 papers from over 50 countries worlwide.
Arithmetic and Analytic Theories of Quadratic Forms and Clifford Groups
The two main themes of the book are (1) quadratic Diophantine equations; (2) Euler products and Eisenstein series on orthogonal groups and Clifford groups. Whereas the latest chapters of the book contain new results, a substantial portion of it is devoted to expository material related to these themes, such as Witt's theorem and the Hasse principle on quadratic forms, algebraic theory of Clifford algebras, spin groups, and spin representations. The starting point of the first main theme is the result of Gauss that the number of primitive representations of an integer as the sum of three squares is essentially the class number of primitive binary quadratic forms. A generalization of this fact...
Advanced Signal Analysis and its Applications to Mathematical Physics
The mathematical tools used in signal analysis involve differential and difference equations, integral equations, matrix algebra and calculus, complex analysis and probability theory and random processes. This book applies these tools to problems in various branches of physics like fluid dynamics, electromagnetism and quantum theory. The book will be of use to research workers in signal processing as well as to research workers in physics and applied mathematics. Partial differential equations have been introduced here as an additional tool in signal analysis since they are used to describe quantum, electromagnetic and fluid dynamical phenomena not to forget Einstein’s equations of gravitation. The book will be of use to signal processing experts who are interested in developing tools for the analysis of signals arising in real systems.
Escape From Mississippi
I wrote this book called “Escape from Mississippi”: The Diary of a Boy Growing up in the South in the 40s and 50s.’I’m going to take you to place’s tell you about people, that’s unique to me. . I will start in Columbus; go to Papa’s house and beyond. Everybody shopped in Columbus the biggest little town that was the closest to most of the country people. The hitch lot’s, where everybody parked their horses, Mules and wagons, for a fee. The proprietors in the little town of Columbus Jews owed. Most of it . There were a couple of black owed store’s. I will tell about the all White girls collage. Tell you about the County Fair. I will take you from up town through Seventh Aven...
Mathematical works
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