R K Pandey
Showing all 24 books
This book presents the fundamental concepts and basic properties of groups, rings, factor groups and solvable groups, including the interplay between them and other mathematical branches and applied aspects. The aim of this book is not only to give the students quick access to the basic knowledge of algebra, either for future advancement in the field of algebra, or for general background information, but also to show that algebra is truly a master key or a ...
The book "Integral Calculus" presents a calculus course that best serves the needs of Science and Mathematics as it enters the Twenty-first Century. In this textbook themes are often used to motivate both techniques and applications of calculus. Much of the Integral Calculus is motivated by concepts related to Functions and once the Fundamental Theorem is introduced.Moreover, many of the topics covered in these sections of the book are relatively new to ...
The goal of this book is to provide interdisciplinary interaction between Mathematical Analysis and Real Analysis. It provides an attempt to study various approaches in the topological space and influence to Real analysis, Normed linear space and Functional Analysis. Every chapter of this book contains problems and their solutions. Many problems are selected carefully both for students who are presently learning or those who have just finished their courses in ...
The Book "Differential Calculus" presents a calculus course that best serves the needs of Science and Mathematics as it enters the Twenty-first Century. In this textbook themes are often used to motivate both techniques and applications of calculus. Much of the Differential calculus is motivated by concepts related to limits and functions, and once the Fundamental Theorem is introduced, much of the material is motivated by Applications of the ...
The book "Abstract Algebra" offers a comprehensive a self-contained presentation of all major topics in Abstract Algebra and provides an in depth treatment of the application of Algebraic Technique and the relationship of algebra to other disciplines such as Structure of Algebra, Algebra and module, Commutative, Ring Theory, Galois Theory, Group Theory, Algebraic Geometry.Emphasizing both the conceptual and computational aspects of algebra to aid ...
This book gives an under-graduate-level introduction to Number Theory, with the emphasis on fully explained Proofs and Examples; exercises are integrated into the text. The first few chapters covering Number Sets, Real Numbers, Natural Numbers, Divisibility, Boolean Algebra Groups and are therefore suitable for under-graduate and post-graduate students as an introduction to the methods of Pure mathematics.Elementary ideas about groups are then used to study ...
The Goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology. It provides an attempt to study various approaches in the topological applications and influence to Function Theory and Functional Analysis. This book presents a unified treatise of the theory of integration. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The ...
Linear Programming has progressed a great deal during last two decades. It is becoming increasingly sophisticated with the availability of computer facilities and infusion of new concepts. The text of this book has been presented in easy and simple language. Throughout the text, the two streams theory and technique run side by side. Each technique is preceded by the relevant theory followed by suitable examples. A large number of important problems mostly drawn ...
Many think that learning this language is not easy on account of its difficult grammar and extensive vocabulary. Neither of the two has any tenable base. In thousands of ten-day long spoken-Sanskrit exercises fresher go back with confidence speaking the language. The present offer of a five time longer exercise seeks to develop a stronger base emphasis on some amount of grammar and composition.
Sanskrit is perhaps the most scientific language known to mankind, ...
Urban sociology, planning, administration and management deals with the basic concepts like urban ecology, rural-urban continuum, dichotomy, the city community, urbanism and urbanization. The elements of urban design and architecture has also been discussed. The major foci of attention are inclusive of twenty-first century scenario which are likely to emerge and which have made a beginning of appearance of scenario likely to come up.
This book uniquely covers statics and analytical geometry with a section on background mathematics, providing the student everything needed to complete typical first year undergraduate courses in these areas. This book discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations. These subjects are important both for the mathematical ...
This is an excellent book which will help you to learn, or to review, vector calculus from the basics through to the most abstract versions of Stroke's Theorem. It is a super textbook that could help the teacher to design courses and provide examples, exercises and problems. It would be suitable for a level students studying vectors and three dimensional geometry as well as students at university studying vector calculus itself, or some applications. This book ...
This book is intended both as an introductory text and as a reference book for those interested in studying several complex variables in the context of partial differential equation. This book gives an up-to-date account of the theories for these equations and their applications. The authors provide a systematic study of the Cauchy-Riemann. This self-contained book provides a much needed introductory text to several complex variables and partial differential ...
This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object. Shapes and geometries: analysis, Differential calculus, and optimization presents the extensive, recently developed theoretical foundation to shape optimization in a form ...
The Integral Calculus has been written to meet the requirements of students of Indian Universities. The subject matter has been discussed in such a simple way that the student will find no difficulty to understand it. Each chapter of this book contains complete theory and large number of solved examples. Sufficient problems have also been selected from various universities and competitive examinations. The subject matter is exhaustive and attempts are made to ...
Based on the research experience of the author complex variable with Vector Calculus provides clear and condensed treatment of the subject. This book should be used by undergraduate students of engineering and science as a part of a course in Advanced Engineering Mathematics, where they are introduced to complex variables, through conceptual development of analysis. This book also presents a detailed treatment of vector calculus and its applications. This book ...
Functions of a complex variable are used to solve applications in various branches of mathematics, science and engineering. Functions of a complex variable, is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions. The book provides the readers a comprehensive range of these analytical techniques based upon Complex Variable Theory. ...
Encyclopaedia of Differential Calculus has been written to meet the requirements of both graduate and post-graduate students of all Indian universities. The encyclopaedia is also useful for all competitive examinations. Attempt has been made to make the subject easy and understandable to the average students without sacrificing any rigor. Expansion of the fundamental principles is made clear and concise. The subject matter has been discussed in such a simple way ...
The main goal of this encyclopaedia is to survey measure theory with its many different branches and its relations with other areas of mathematics. The aim of the encyclopaedia is to cover new fields, approaches and applications which support the idea of "measure" in a wider sense. Although chapters are written of surveys in the various areas they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. ...
Encyclopaedia of Number Theory gives an undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples; exercises are integrated into the text. In addition to a careful presentation of the standard material usually taught in a first course in number theory, this book includes chapters on divisibility, prime numbers and modular arithmetic suitable for first or second year students as an introduction to the methods of ...
The Encyclopaedia of Solid Geometry is so presented that students will gain a knowledge of the properties of planes and lines in space; polyhedrons, cones, cylinders, and spheres; further practice in the processes of logic which were begun in plane geometry; a realization that they must understand solid geometry if they with to comprehend nature and art and the fascinating and diversified developments of modern means of communication, transportation, construction ...
Linear Algebra has occupied a very crucial place in mathematics. Linear Algebra is a continuation of classical course in the light of the modern development in science and mathematics. We must emphasize that mathematics is not a spectator sport, and that in order to understand and appreciate mathematics it is necessary to do a great deal of personal cogitation and problem solving. Throughout the book the author follows the practice of first presenting required ...