nayak prasun kumar (5 Ergebnisse)

Zustand: New. pp. 432.

Soft cover. Zustand: New. 1st Edition. Contents: 1. Scalars and Vectors. 2. Product of Vectors. 3. Applications of Vector Algebra. 4. Vector Differentiation. 5. Vector Differential Operator. 6. Vector Integration. 7. Integral Theorems. Exercises. Bibliography. Index. Vector is one of the important concepts necessary for the study of Physics, Applied Mathematics and Engineering. This book presents the principal topics in the subject scalars, vectors, vector algebra, vector differentiation and the differential operator, vector integration and integral theorems in a clear and simple manner. For each topic, the definitions of important terms, properties and deductions are provided, along with worked-out examples and figures to ensure in-depth understanding and comprehension. Salient Features: The subject is discussed in a systematic manner to cater to the needs of learners More than 220 figures supplement the text Over 330 worked-out examples are presented End-of-chapter exercises comprise 418 practical problems and 221 objective type questions (with answers wherever applicable) The book will also be useful to students preparing for competitive examinations like IIT JAM, NET, SET and GATE.

Soft cover. Zustand: New. 1st Edition. Contents: Preface. 1. Complex numbers. 2. Sequence and series. 3. Complex differentiation. 4. Elementary transcendental functions. 5. Complex integration. 6. Linear fractional transformations. 7. Calculus of residues. 8. Some relevant theorems. 9. Entire and meromorphic functions. 10. Analytic continuation. Bibliography. Index. This book is a comprehensive resource for students of undergraduate postgraduate courses in mathematics, physics and engineering. It makes use of numerous worked-out examples to show how the study of complex numbers and their derivatives and properties helps in solving many physical problems. Beginning with the algebraic and analytic properties of complex numbers, the reader is introduced to topological notions of sets in the complex plane, sequence and series representation of complex numbers, limit, continuity and differentiability of complex functions, and branch cut and branch points in multi-valued functions. Important theorems such as Ascoli Arzela theorem, Montel s theorem, Riemann mapping theorem, and the concept of Schawarz Cristoffel transformations widely used in various fields are established. The notion of entire functions and their properties and direct and indirect analytic continuation of an analytic function, too, are covered. The book contains an interesting range of chapter-end review exercises that will be of help to students and teachers alike. The inclusion of multiple-choice questions, in particular, will be of interest to those preparing for competitive examinations such as the NET, SET and GATE. Salient points: Many solved examples Chapter-end exercises of varied kinds, including multiple-choice questions Large number of interesting properties of complex differentiable functions Reveals many nice results of complex analysis Highlights practical applications of complex analysis in solving physical problems.

Zustand: New.

Zustand: New. Prasun Kumar Nayak, Midnapore College (Autonomous),West Bengal, India.Mijanur Rahaman Seikh, Kazi Nazrul University,West Bengal, India.This book has been designed to introduce the fundamental concepts of Cont.