Combinatorics and Graph Theory is designed as a textbook for undergraduate students of computer science and engineering and postgraduate students of computer applications. The book seeks to introduce students to the mathematical concepts needed to develop abstract thinking and problem solving—important prerequisites for the study of computer science. The book provides an exhaustive coverage of various concepts and remarkable introduction of several topics of combinatorics and graph theory. The book presents an informative exposure for beginners and acts as a reference for advanced students. It highlights comprehensive and rigorous views of combinatorics and graphs. The text shows simplicity and step-by-step concepts throughout and is profusely illustrated with diagrams. The real-world applications corresponding to the topics are appropriately highlighted. The chapters have also been interspersed throughout with numerous interesting and instructional notes. Written in a lucid style, the book helps students apply the mathematical tools to computer-related concepts and consists of around 600 worked-out examples which motivate students as a self-learning mode.KEY FEATURES Contains various exercises with their answers or hints. Lays emphasis on the applicability of mathematical structures to computer science. Includes competitive examinations’ questions asked in GATE, NET, SET, etc
Module-I: Ordinary Differential Equation | Differential Equations Of First Order And Higher Degree| Module-Ii: Ordinary Differential Equation - Higher Order And Firstdegree| Module-Iii: Graph Theory | Matrixrepresentation Of A Graphs| Module-Iv: Trees| Module-V: Improper Integrals | Laplace Transform| Inverse Laplace Transform | Question Paper (2011)
Module-I: Matrix I, Matrix Ii| Module-Ii: Successive Differentiation | Mean Value Theorems & Expansion Of Functions | Reduction Formulae: Indefinite And Definiteintegrals| Module-Iii Introduction To Functions Of Severalvariables | Partial Differentiation | Extrema:Maxima , Minima And Saddle Points | Concept Of Multiple Integrals:
Radical ideologies, revolutionary movements, political upheavals, legal frameworks and many such initiatives have been taken up to prove a Woman’s Equality, and uplift her status all over the world. Though the voices raised are loud and heard; but the moot question is whether the word ‘Feminism,’ in its true sense, has been understood and implemented in the ‘still very much’ patriarchal society of today. The undercurrent answer to this question is echoed and retorted in this book on Gender studies. Elaborating on the Indian woman, this book comments on the condition of women, from ancient India to the modern day India—her transforming status; the laws devised to protect her; social taboos surmounting her; and the changing social patterns that are being brought to nullify the gender differences—be it at home, within an office and within the society. The book begins with a feminist approach to politics, movements led by the feminists, their treatment in literature, autobiographies, their contribution towards economic sectors, their health, education, e-governance, and role towards environment. A dedicated chapter elaborates on women in Tagore’s work, with original text excerpts in Bengali and their literal translations. The final chapter deals with Indian women and their tryst with crime day in and out; the unchanged age-old laws which are in need of serious review; and the role of media and society in providing them the due accreditation of ‘being someone’. The book is intended for the students of Gender Studies, Political Science, English, Sociology, and Media Studies.
This textbook provides an introduction to some fundamental concepts in Discrete Mathematics and the important role this subject plays in computer science. Every topic in this book has been started with necessary introduction and developed gradually up to the standard form. The book lays emphasis on the applicability of Mathematical structures to computer science. The content of this book is well supported with numerous solved examples with detailed explanation
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