This revised edition provides an excellent introduction to topics in Real Analysis through an elaborate exposition of all fundamental concepts and results. The treatment is rigorous and exhaustive—both classical and modern topics are presented in a lucid manner in order to make this text appealing to students. Clear explanations, many detailed worked examples and several challenging ones included in the exercises, enable students to develop problem-solving skills and foster critical thinking. The coverage of the book is incredibly comprehensive, with due emphasis on Lebesgue theory, metric spaces, uniform convergence, Riemann–Stieltjes integral, multi-variable theory, Fourier series, improper integration, and parametric integration. The book is suitable for a complete course in real analysis at the advanced undergraduate or postgraduate level.
This compact book is an excellent elucidation of the basics of optimization theory in the areas of linear programming and game theory. The theory has been developed in a systematic manner with a recapitulation of the necessary mathematical preliminaries including in good measure the elements of convexity theory. All the essential topics such as simplex algorithm, duality, revised simplex method, two-phase method and dual simplex method have been discussed lucidly. The age-old transportation and assignment problems have been treated thoroughly to manifest all the dimensions of the problems. Finally, the game theory comes with grandeur of reality of conflicts. This user-friendly text is designed for the undergraduate students in mathematics. Besides, it will be useful to students pursuing courses in engineering, management and economics.
Appropriate for undergraduate courses, this second edition has a new chapter on lattice theory, many revisions, new solved problems and additional exercises in the chapters on group theory, boolean algebra and matrix theory. The text offers a systematic, well-planned, and elegant treatment of the main themes in abstract algebra. It begins with the fundamentals of set theory, basic algebraic structures such as groups and rings, and special classes of rings and domains, and then progresses to extension theory, vector space theory and finally the matrix theory. The boolean algebra by virtue of its relation to abstract algebra also finds a proper place in the development of the text. The students develop an understanding of all the essential results such as the Cayley's theorem, the Lagrange's theorem, and the Isomorphism theorem, in a rigorous and precise manner. Sufficient numbers of examples have been worked out in each chapter so that the students can grasp the concepts, the ideas, and the results of structure of algebraic objects in a comprehensive way. The chapter-end exercises are designed to enhance the student's ability to further explore and inter-connect various essential notions.
This text offers a clear guide to the essentials of two-dimensional analytical geometry. It uses numerous examples to illustrate the basic ideas and to educate students in the many techniques of problem-solving. Exercises provide ample problems to encourage steady progress and to broaden intuition in general. The author's overall approach is systematic and rigorous, and avoids depending on Euclidean propositions. This textbook should be useful for arts, science and engineering students.
The third edition earmarks the great success of this text among the students as well as the teachers. To enhance its utility one additional appendix on "The Theory of Errors" has been incorporated along with necessary modifications and corrections in the text. The treatment, as before, is rigorous yet impressively elegant and simple. The special feature of this text is its effort to resolve many outstanding confusions of probability and statistics. This will undoubtedly continue to be a valuable companion for all those pursuing a career in Statistics."--BOOK JACKET.
Peninsular India is one among the few regions of the world harboring natural teak forests. Karnataka is one of the states in the region that was blessed with extensive teak forests. Due to centuries of heavy exploitation for the prized wood and large-scale artificial introduction of teak since more than a century, the pristine teak forests have shrunk rapidly, being now confined only to a few pockets, mostly in the protected areas. Natural teak has virtually become an endangered species. The book, Stranger at Home – Teak Forests of Karnataka, attempts at sharing some information about the extensive natural teak forests that existed in Karnataka in the distant past. It also dwells upon the history of the development of teak plantations in the state. For various reasons including policy changes, court directives, lack of adequate funds, manpower, etc., management of these plantations has been a challenging task. The impact of monoculture on the biodiversity of the natural forest had also come in for sharper scrutiny and severe criticism. All these developments have somewhat slowed down the activities related to the management of the plantations, at times bordering on inaction. The book discusses various aspects and challenges associated with the management of teak forests and plantations, suggesting ways and means to forge ahead in the context of overall forest conservation with a special focus on biodiversity conservation.
This book, the first of two volumes, examines ancient civilizations to explore the ethical foundations of modern economic systems. The origin of ethical values is analyzed from a historical context and, through investigating the spread of the Aryan civilization from India into the rest of the world, the links between ancient Russia, India, Japan, and Greece are highlighted. By examining the business management in these societies, the development of an ethical system is explained. This book aims to highlight how trust is fundamental to transactions within an exchange economy. It will be relevant to those interested in economics, development studies, international relations, and global politics.
This book is an analysis of the political and philosophical foundations of the development of India's economy, including discussions of what's gone wrong in the past and what can be done to rectify it. The authors provide a detailed analysis of the history and burning issues derived from these historical analysis which are still unresolved today. As well as this, there are analyses of the political economy and both ancient and modern historical perspectives.
A regular feature in almost publication has been a comparison of India’s slow economic growth and, until recently, China’s rapid progress. Yet, in 1988, both countries had similar living standards. As things stand, it is undoubtedly a tale of two countries and two systems. Supporters of India can point to the democratic nature of the country’s development while ignoring the slow pace of change. China’s supporters point to exceptional poverty reduction, urbanization, and infrastructure developments while ignoring the social, religious, and environmental costs these efforts have created. However, popular media has ignored the fact the individual starting points of the two nations, a gap which this book fills. This study examines how China’s economic reforms was initiated with Deng Xiaoping’s fang-shou (‘letting go’ and ‘tightening up’) efforts between 1978 and 1989. However, until 1989 China had nothing much to demonstrate compare with India. Both countries had similar per head national income but India was technologically much superior to China. The reforms in China then accelerated in a sustained manner—be it the Family Responsibility System that transformed agriculture, the opening up of the industrial sector for the growth of local enterprises and foreign investments, or the substantial effort to make state-owned enterprises more efficient.
Why did the Rwandan genocide take place? How could parents feed their own children drinks laced with poison in Jonestown? As we see many parts of the world being engulfed in fratricidal frenzy, we wonder if it can happen in this country. Gupta examines contemporary cases of genocide and mass murder and seeks to explain why certain societies are more prone to these actions and others are relatively immune. Gupta sees a dialectical tension between our two identities: the self and the collective. The end of the medieval period was marked by the emergence of individualism in Europe. With time, the march of individualism engulfed the entire Western world and permeated every aspect of its culture, tradition, and academic paradigm. Neoclassical economics is the embodiment of this single-minded pursuit of the rationality of individualism. However, our psychobiological evolution has also imbued us with the irrepressible desire to form groups and to act upon its welfare. The reason for this eternal conflict lies in our own struggle with our two identities. When the pendulum swings to the extreme end of collectivism, genocide and other forms of social abnormalities--collective madness--occur. When we move too far into individualism, people tend to seek something greater beyond selfish pursuits. Through his panoramic view, Gupta provides an explanation for both social order and political pathology that will be of interest to students, scholars, and other researchers involved with ethnic conflict, collective behavior, and conflict resolution.
Thoroughly updated throughout, A First Course in Linear Model Theory, Second Edition is an intermediate-level statistics text that fills an important gap by presenting the theory of linear statistical models at a level appropriate for senior undergraduate or first-year graduate students. With an innovative approach, the authors introduce to students the mathematical and statistical concepts and tools that form a foundation for studying the theory and applications of both univariate and multivariate linear models. In addition to adding R functionality, this second edition features three new chapters and several sections on new topics that are extremely relevant to the current research in statistical methodology. Revised or expanded topics include linear fixed, random and mixed effects models, generalized linear models, Bayesian and hierarchical linear models, model selection, multiple comparisons, and regularized and robust regression. New to the Second Edition: Coverage of inference for linear models has been expanded into two chapters. Expanded coverage of multiple comparisons, random and mixed effects models, model selection, and missing data. A new chapter on generalized linear models (Chapter 12). A new section on multivariate linear models in Chapter 13, and expanded coverage of the Bayesian linear models and longitudinal models. A new section on regularized regression in Chapter 14. Detailed data illustrations using R. The authors' fresh approach, methodical presentation, wealth of examples, use of R, and introduction to topics beyond the classical theory set this book apart from other texts on linear models. It forms a refreshing and invaluable first step in students' study of advanced linear models, generalized linear models, nonlinear models, and dynamic models.
Today gender studies as an interdisciplinary academic field has gained much momentum in India. Contrary to conventional idea that a person born either as a boy or a girl must conform to his or her sex in his or her growth, dress and behaviour, modern Indian outlooks have rather started changing with the fast approaching new gender free world crowded with agender, bigender, genderfluid, genderqueer, non-binary and third gender people against conventional gender binary- male and female. Last few years, apart from schemes for women’s security and empowerment, have also seen the announcement of many welfare schemes for the health and well-being of third gender people of India and decriminalisation of homosexuality from Indian soil. With same spirit, the present anthology is an endeavour to shed some light on the glaring issues of rape, abuse, discrimination, exploitation and violence arising out of gender essentialism in Indian context. The anthology, with an aim to serving larger sections of humanity, covers twenty seven multidisciplinary articles hardly missing any aspect untouched from this field of study in Indian context.
This book explains the lifecycle of terrorist organizations from an innovative theoretical perspective, combining economics with social psychology. It provides a new approach to understanding human behaviour in organized society, and then uses this to analyze the forces shaping the lifecycle of violent political movements. Economic and rational-choice theorists assume that human beings are motivated only by self-utility, yet terrorism is ultimately an altruistic act in the eyes of its participants. This book highlights the importance of the desire to belong to a group as a motivating factor, and argues that all of us face an eternal trade-off between selfishness and community concern. This hypothesis is explored through four key groups; the IRA in Northern Ireland, Al Qaeda, Hamas, and the Naxalites in India. Through this, the book analyzes the birth, growth, transformation and demise of violent political movements, and ends with an analysis of the conditions which determine the outcome of the war against terrorism. Understanding Terrorism and Political Violence will be essential reading for advanced students of terrorism studies and political science, and of great interest to students of social psychology and sociology.
This book examines the creation of Pakistan and the economic rationale for partition. The authors analyze other factors as well and look at the politics and influence of Muhammad Ali Jinnah, Mahatma Gandhi, and Jawaharlal Nehru.
Important new insights into how various components and systems evolved Premised on the idea that one cannot know a science without knowing its history, History of Wireless offers a lively new treatment that introduces previously unacknowledged pioneers and developments, setting a new standard for understanding the evolution of this important technology. Starting with the background-magnetism, electricity, light, and Maxwell's Electromagnetic Theory-this book offers new insights into the initial theory and experimental exploration of wireless. In addition to the well-known contributions of Maxwell, Hertz, and Marconi, it examines work done by Heaviside, Tesla, and passionate amateurs such as the Kentucky melon farmer Nathan Stubblefield and the unsung hero Antonio Meucci. Looking at the story from mathematical, physics, technical, and other perspectives, the clearly written text describes the development of wireless within a vivid scientific milieu. History of Wireless also goes into other key areas, including: The work of J. C. Bose and J. A. Fleming German, Japanese, and Soviet contributions to physics and applications of electromagnetic oscillations and waves Wireless telegraphic and telephonic development and attempts to achieve transatlantic wireless communications Wireless telegraphy in South Africa in the early twentieth century Antenna development in Japan: past and present Soviet quasi-optics at near-mm and sub-mm wavelengths The evolution of electromagnetic waveguides The history of phased array antennas Augmenting the typical, Marconi-centered approach, History of Wireless fills in the conventionally accepted story with attention to more specific, less-known discoveries and individuals, and challenges traditional assumptions about the origins and growth of wireless. This allows for a more comprehensive understanding of how various components and systems evolved. Written in a clear tone with a broad scientific audience in mind, this exciting and thorough treatment is sure to become a classic in the field.
Structural Revolution in International Business Architecture Volume 2 fills important gaps in the existing literature of management science by providing new and improved methods of optimal control system modeling. These research methods are applied in a variety of problems of management science and national economic management. Applications are on oil field development, energy system modeling, resource modeling, time varying control of dynamic system of national economy, and investment planning.
This book addresses the acoustic signal analysis and spectral dynamics of the tanpura, an Indian plucked string instrument. In addition, it strives to provide a logical and objective explanation of Indian classical musicians’ cognitive experience. Issues of relevance in this regard include the rich, mellifluous sound; the undulation of the loudness; the somewhat cyclical variation of the timbre, which is strongly related to these undulations; and the occasional perception of virtual notes to which no strings are tuned. The book analyses the materials used in the tanpura, the instrument’s simple structure, the intricacies of the lower bridge, and the theory of string vibration with variable string length. Cognitive experiments to provide the basis for perceptual quality assessment, as well as a methodology for ranking, are described. This is followed by acoustic analyses, both temporal and spectral, for sounds produced by male and female tanpuras, for each individual string and the combined one. An important aspect related to the naturalness of perceived sound, namely the intrinsically associated random perturbations, is also discussed. The apparent irregularities perceived in the acoustic signal produced by the tanpura reveal the importance of examining the signal from the perspective of non-linear analysis, an aspect that is also covered in the book. Given its scope, the book will appeal to students and researchers in the fields of music acoustics, artificial intelligence, and cognitive science, as well as musicians and musicologists around the world.
The present anthology which covers eighteen well-explored articles on tribal perspectives in India, assesses critically the tribal art, culture and literature. It also endeavours to bring into surface issues and challenges faced by Indian tribes in reference to their life and hardships, policies adopted by government for their development and problems in their implementation. The book as a whole tries to meet all crucial aspects of Indian tribes. Hopefully the book would serve to larger section of humanity laying bare many hidden facts related to tribal life and culture.
This book provides a comprehensive overview of how fractal analytics can lead to the extraction of interesting features from the complex electroencephalograph (EEG) signals generated by Hindustani classical music. It particularly focuses on how the brain responses to the emotional attributes of Hindustani classical music that have been long been a source of discussion for musicologists and psychologists. Using robust scientific techniques that are capable of looking into the most intricate dynamics of the complex EEG signals, it deciphers the human brain’s response to different ragas of Hindustani classical music, shedding new light on what happens inside the performer’s brain when they are mentally composing the imagery of a particular raga. It also explores the much- debated issue in the musical fraternity of whether there are any universal cues in music that make it identifiable for people throughout the world, and if so, what are the neural correlates associated with the universal cues? This book is of interest to researchers and scholars of music and the brain, nonlinear science, music cognition, music signal processing and music information retrieval. In addition, researchers in the field of nonlinear biomedical signal processing and music signal analysis benefit from this book.
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