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Sources in the Development of Mathematics
The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.
Special Functions
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Introduction to Classical Mechanics
The book deals with the mechanics of particles and rigid bodies. It is written for the undergraduate students of physics and meets the syllabus requirements of most Indian universities. It also covers the entire syllabus on classical/analytical mechanics for various national and state level examinations like NET, GATE and SLET. Some of the topics in the book are included in the curricula of applied mathematics in several institutions as well. KEY FEATURES • Main emphasis is on the evolution of the subject, the underlying ideas, the concepts, the laws and the mathematical methods • Written in the style of classroom teaching so that the students may benefit from it by way of self-study • Step-by-step derivation of concepts, with each step clearly numbered • Concepts explained with the help of relevant examples to aid understanding
THE INDIAN LISTENER
The Indian Listener (fortnightly programme journal of AIR in English) published by The Indian State Broadcasting Service,Bombay ,started on 22 December, 1935 and was the successor to the Indian Radio Times in english, which was published beginning in July 16 of 1927. From 22 August ,1937 onwards, it was published by All India Radio,New Delhi.From July 3 ,1949,it was turned into a weekly journal. Later,The Indian listener became "Akashvani" in January 5, 1958. It was made a fortnightly again on July 1,1983. It used to serve the listener as a bradshaw of broadcasting ,and give listener the useful information in an interesting manner about programmes,who writes them,take part in them and produc...
Introduction to Quantum Mechanics
The subject of quantum mechanics has grown tremendously during the last century and revealed many hidden secrets of nature. It has enabled mankind move towards understanding the nature of matter and radiation. However, for the students its concepts have remained a problem to understand. Having deeply observed this situation and having himself experienced it, the author has presented the subject in the style of classroom teaching that reveals its marvels and the wide scope it offers. The book focuses on the evolution of the subject, the underlying ideas, the concepts, the laws and the mathematical apparatus for the formulation of the subject in a systematic and comprehensible manner. Each chapter is followed by a number of solved examples and problems, which are chosen so as to serve as guidelines in the application of the basic principles of quantum mechanics and to assist in solving more complex problems. Key Features • Written to develop passion for quantum mechanics; thus makes this tough subject look simple • Showcases the marvels and scope of quantum mechanics • Meets the syllabi requirements of all undergraduate courses
Chronic Pain and Brain Abnormalities
It is only natural for someone in pain to attend to the body part that hurts. Yet this book tells the story of persistent pain having negative effects on brain function. The contributors, all leading experts in their respective fields of pain electrophysiology, brain imaging, and animal models of pain, strive to synthesize compelling and, in some ways, connected hypotheses with regard to pain-related changes in the brain. Together, they contribute their clinical, academic, and theoretical expertise in a comprehensive overview that attempts to define the broader philosophical context of pain (disentangling sensical from nonsensical claims), list the changes known to take place in the brains o...
Ellis Stanyon's Best Card Tricks
Hundreds of tricks for amateurs and professionals alike -- from relatively complex maneuvers involving mathematical calculation to simple tricks for beginners such as "The Traveling Ace."
Advancement of GI-Science and Sustainable Agriculture
This book describes the contributing aspects of contemporary developments related to sustainable agricultural resources and assessment of sustainable agriculture in developing nations. The issues like food crisis and declining agro-productivity, post-pandemic food security, zonation and mapping technique viewing food crisis, biotechnology and sustainable agricultural, scaling hunger indices, health hazard and food crisis, changing climate and food availability, consumer load and fertilizer usage, growing demand and increasing usage of harmful chemical in agro-fields are regarded as serious concerns. Thereafter, the scope of sustainable agricultural potentiality (SAP) modeling, amidst the are...
