This long awaited Second Edition of the highly successful textbook for undergraduate and postgraduate students covers topics such as: Groups, Rings, Modules and fields Exhibits interplay of both Group and Field Theory by means of Galois theory Insolvability of a quintic, in general, by radicals is shown New to this edition: Replaced and modified many proofs Additional examples and exercises to make the exposition of the subject clearer and meaningful
This book presents a concise, comprehensive introduction to the fundamentals of linear algebra. The authors develop the subject in a manner accessible to readers of varied backgrounds. The material requires only very basic algebra and a rudimentary knowledge of matrices and determinants as prerequisites, but the text includes an introductory chapter containing most of the foundational material required. Linear Algebra begins with the basic concepts of vector spaces, subspace, basis, and dimension. Although the authors emphasize finite dimensional vector spaces, they also include examples of infinite dimensional vector spaces to highlight the differences between the two classes. The treatment then moves to the analysis of a single linear operator on a finite dimensional vector space, including discussions on characterizing diagonizable and triangulable operators. It uses the concept of generalized eigenvectors to obtain an inductive procedure for constructing a Jordan basis for a triangulable linear operator and again uses an algorithmic approach to the rational canonical form. Subsequent discussions focus on finite dimensional inner product spaces and non-negative operators, isometries, and polar and singular-value decomposition. The final chapter explores bilinear forms and extends the results of inner product spaces to bilinear spaces. Numerous examples and exercises at the end of each section make this an outstanding text for graduate and senior undergraduate students.
This book presents a concise, comprehensive introduction to the fundamentals of linear algebra. The authors develop the subject in a manner accessible to readers of varied backgrounds. The material requires only very basic algebra and a rudimentary knowledge of matrices and determinants as prerequisites, but the text includes an introductory chapter containing most of the foundational material required. Linear Algebra begins with the basic concepts of vector spaces, subspace, basis, and dimension. Although the authors emphasize finite dimensional vector spaces, they also include examples of infinite dimensional vector spaces to highlight the differences between the two classes. The treatment then moves to the analysis of a single linear operator on a finite dimensional vector space, including discussions on characterizing diagonizable and triangulable operators. It uses the concept of generalized eigenvectors to obtain an inductive procedure for constructing a Jordan basis for a triangulable linear operator and again uses an algorithmic approach to the rational canonical form. Subsequent discussions focus on finite dimensional inner product spaces and non-negative operators, isometries, and polar and singular-value decomposition. The final chapter explores bilinear forms and extends the results of inner product spaces to bilinear spaces. Numerous examples and exercises at the end of each section make this an outstanding text for graduate and senior undergraduate students.
This long awaited Second Edition of the highly successful textbook for undergraduate and postgraduate students covers topics such as: Groups, Rings, Modules and fields Exhibits interplay of both Group and Field Theory by means of Galois theory Insolvability of a quintic, in general, by radicals is shown New to this edition: Replaced and modified many proofs Additional examples and exercises to make the exposition of the subject clearer and meaningful
This books documents the salient characters of the tectonic evolution of the Indian subcontinent. It showcases the well investigated subcontinent of Gondwana. The book is linked to an updated geological and tectonic map of this region on 1:12,000,000 in scale. The Indian subcontinent displays almost uninterrupted and unique the geological history since about Eo-Archean (~3800 Ma) to recent, with the development of many Proterozoic deformed and metamorphosed fold belts around Archean nuclei, and enormously thick undeformed platform deposits. After their stabilization during late Proterozoic, the subcontinent underwent Paleozoic rifting and deposition of coal-bearing thick sequences, followed by enormously-thick outpouring of Deccan volcanics as a consequence of huge mantle plume. The youngest event in its evolution is the Cenozoic Himalayan Orogenic Mountains, spanning the area between Nanga Parbat and Namcha Barwah; a part of which extends both in Pakistan and Myanmar.
It was the time of the Cold War. After defeating Pakistan in the second biggest armed conflict since the Second World War, Indian Prime Minister Lal Bahadur Shastri arrived in Tashkent, former USSR, to sign a peace accord. After days of extended negotiations, the peace agreement was signed between India and Pakistan in the presence of Alexei Kosygin, the USSR Premier. Hours later, at 1.32 AM, Shastri died in his dacha. Abruptly. Mysteriously. Soon after, his official Russian butler and the Indian cook attached to the Indian ambassador were arrested by the Ninth Directorate of the KGB under the suspicion of poisoning Shastri. No post-mortem was done. No confession was achieved. There was no judicial enquiry ever. It's been 50 years since his death, and we still don't know the truth. Was it really a heart attack? Was he poisoned? Did the CIA kill him? Was it the KGB? Was it a state-sponsored murder? Vivek Ranjan Agnihotri along with his motley team of inexperienced assistants turned whistle-blowers investigate the mystery behind Shastri's death and find themselves in a mirror-world where all and everybody is suspect. But they cannot remain distant, for the painful story of India touches their own lives as they discover how the country was put up for sale.
IN THIS VOLUME: IDR Comment • Terrorism: Punjab • Insurgency Movements: Manipur • Tripura • Secessionist Movement: Gorkhaland • Non-Secessionist Movements: • Jharkhand • Uttarkhand • Defence Deals: The Bofors controversy • The HDW submarine deal • Sri Lanka • Pakistan • China • Siachen Interview with General K. Sundarji. Chief of the Army Staff The Air Land Battle doctrine: Implication and application – Air Cmde Jasjit Singh The changing rhythm of war: Evolution of army aviation – Lt Gen E A Vas Airborne forces: In search of a strategic concept – Brig Vivek Sapatnekar Land warfare in the sub-continent: The Indian quest for doctrine – Maj G D Bakshi Strike Corps offensive operation: Imperatives for success – Maj Gurmeet Kanwal The state of armour • An appraisal – IDR Research Team • MBT-90 – Col Ashok Puri • India’s MBT ‘Arjun’ – IDR Research Team • Progress on MBT ‘Arjun’ – IDR Research Team Insurgency in China – IDR Research Team Management of intelligence at the national level – Lt Gen P N Kathpalia Career management of military officers – Lt Gen M L Chibber “The safety, honour and welfare of the men you command...” – IDR Research Team Defence perspectives for India: Socio-economic factors and internal stability – Cmde Raja Menon The subcontinent's nuclear ledgers are getting critical and complicated: An appreciation – Cmde Ranjit Rai Jewish terrorists and Arab exodus: Politico-military lessons for India – IDR Research Team
The book has been written for 'Business Laws' Paper of the BCom (Hons), Semester-I, Examination of the University of Delhi in accordance with its syllabus under Choice Based Credit System. Its contents have been largely extracted from the author's reputed title Business Law which has gained tremendous readership over the years. This book presents the subject matter tailor-made as per the revised course structure of the Paper, to enable the students to possess a textbook that caters to their needs in full. The book has been organized into four parts, namely, Law of Contract, Law of Sale of Goods, Law of Limited Liability Partnership, and Law of Information Technology. Key Features • Quotes Indian and English cases at appropriate places with a view to ensure necessary authenticity and clarity on the subject • Includes objective type questions, test questions and practical problems with hints and solutions in each chapter to enable students to evaluate their understanding of the subject • Explains complicated provisions in easily comprehensible language with the help of illustrations and analogies
This book has been written for Business Laws paper of the B.Com. (Hons.) and B.Com. programs of University of Delhi in accordance with their new syllabi as per Undergraduate Curriculum Framework (UGCF) 2022 based on National Education Policy (NEP) 2020. Its contents have been largely extracted from the author's reputed title Business Law which has gained tremendous readership over the years. This book presents the subject matter tailormade as per the revised course structure of the paper, to enable the students to possess a textbook that caters to their needs in full. The book has been organized into three parts, namely, Law of Contract, Law of Sale of Goods and Law of Limited Liability Partnership.
This book deals with the fundamental branches of business law, namely, law of contract, law of sale of goods, law of partnership, law of negotiable instruments and law of information technology. Its contents have been extracted from the authors' reputed title Mercantile Law that has gained tremendous readership over the years. Business Law is intended to serve as a textbook for the students of BCom, BCom (Hons), CA Common Proficiency Test (CPT), CA Integrated Professional Competence Course (IPCC), CS Foundation Programme, ICMA Intermediate, BBA, MBA, and also for those appearing for banking and competitive examinations.
Confidence Intervals for Discrete Data in Clinical Research is designed as a toolbox for biomedical researchers. Analysis of discrete data is one of the most used yet vexing areas in clinical research. The array of methodologies available in the literature to address the inferential questions for binomial and multinomial data can be a double-edged sword. On the one hand, these methods open a rich avenue of exploration of data; on the other, the wide-ranging and competing methodologies potentially lead to conflicting inferences, adding to researchers' confusion and frustration and also leading to reporting bias. This book addresses the problems that many practitioners experience in choosing and implementing fit for purpose data analysis methods to answer critical inferential questions for binomial and count data. The book is an outgrowth of the authors' collective experience in biomedical research and provides an excellent overview of inferential questions of interest for binomial proportions and rates based on count data, and reviews various solutions to these problems available in the literature. Each chapter discusses the strengths and weaknesses of the methods and suggests practical recommendations. The book's primary focus is on applications in clinical research, and the goal is to provide direct benefit to the users involved in the biomedical field.
Mercantile Law explains the fundamental principles of the basic laws governing the modern business world. It presents a comprehensive, systematic and coherent study of the laws relating to Contracts, Sale of Goods, Partnership, Negotiable Instruments, Information Technology, Consumer Protection, Insurance, Insolvency, and Arbitration and Conciliation. It discusses the statutory provisions and the intricacies of law and explains the logic behind them. A large number of decided cases and illustrations given in the text explain the practical implications of the law. Practical problems with hints and solutions have been given at the end of each chapter for the student’s self-assessment. The book remains the leading text for students preparing for BCom, MCom, CA, ICMA, MBA, Company Secretaries, IAS, banking and judicial services examinations. It also serves as a handy and compact volume for those engaged in business, young managers and all others interested in the study of business law.
The book has been written for 'Business Laws' Paper of the B. Com. (Hons.), Semester-I, Examination of the University of Delhi in accordance with its semester based syllabus. Its contents have been largely extracted from the author's reputed title Business Law which has gained tremendous readership over the years. This book presents the subject matter tailor-made as per the revised course structure of the Paper, to enable the students to possess a textbook that caters to their needs in full. The book has been organized into four parts, namely, Law of Contract, Law of Sale of Goods, Law of Limited Liability Partnership, and Law of Information Technology. KEY FEATURES • Quotes Indian and English cases at appropriate places with a view to ensure necessary authenticity and clarity on the subject. • Includes text questions and practical problems with hints and solutions in each chapter to enable students to evaluate their understanding of the subject • Explains complicated provisions in easily comprehensible language with the help of illustrations and analogies
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