In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    It is important for every person to save for one’s retirement as one can expect to live for twenty years after one retires as life expectancy of an Indian is going up steadily due to lower infant mortality and better medical care. There is a complete absence of social security safety net for most Indians today, even for those working in Government sector, there is no inflation adjusted pension available anymore. I have tried to simplify the advantages and disadvantages involved in investing your savings in various asset classes. I have deliberately left out two of the most popular forms of investment among middle class Indians 1) Life insurance 2) Real estate Let us consider life insurance first most of us confuse insurance as an instrument of savings, it is not. We have this wrong view because of the tax breaks given to income tax assesses by the Central Government. Insurance is a product that mitigates risk and is sold by the rich to the middle class and is always skewed in the favour of the insurer rather than the insured. A substantial portion of the total money invested by you goes towards paying agent’s commission and premium for insuring you for the risk of mortality. The balance left out is invested in government securities and other securities. Hence the amount of money invested out of the total premium paid is less than half paid by the insurer. The return on money invested by the policy holder is less than half of the money he would have earned either in bonds or fixed deposits. A person who needs insurance is a person whose family will need support in the event of his untimely death. Alternately insurance is required for a person who has debt in form of mortgage and does not want to burden his family in the event of his passing. The product which covers these risks is called term insurance. One should not buy insurance to avoid taxes as there is better tax saving tools available. Real estate is also considered as a good investment by several retail investors but nothing can be further from the truth. Nobody makes money by buying plots in the middle of nowhere. The easy availability of mortgages from the nineties and the tax breaks given by the Central Government on housing loans has created an unparalleled boom in the residential market. There is now a painful correction process under way in that sector. The price of land is reflexively connected to availability of money. The lower the cost of money, greater the returns in real estate. Buying plots in the middle of nowhere is similar to buying lottery tickets as investment. Land cannot be liquidated immediately into cash at a short notice to meet urgent requirements. Cost of maintenance and protection of real estate from illegal occupation is prohibitive and time consuming. Verification of title deeds to the property is a complex process and needs sound legal advice. You should have a house to live and another to collect rent as rent is equivalent of inflation adjusted pension. The return on investment generated in the three different asset classes over 25 years would be in the following order 1) Equities 2) Gold and finally 3) Debt instruments. I enjoyed writing this book as a companion volume to my first book. It is my fond hope that you enjoy reading this book.

    Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market. Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    Yet with Mark Podolsky’s tried-and-true technique of raw land investment, you can become Dirt Rich without ever having to battle with a tenant, toilet, or termite. In this step-by-step guide, Mark breaks down his “ultimate subscription model” for creating passive income through the niche of raw land investment. Featuring details on common pitfalls, tips on cultivating an investor’s mind, and advice on working smart instead of hard, this handbook will show you how to obtain a life of fiscal independence, with the flexibility to work where you want, when you want, and with whom you want. Financial freedom is within your reach. It’s time to make your dreams a reality by starting to think dirty.

    presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it will explore these, and many other, tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    The participants in the controversy which raged during June–July this year forgot that as many four previous governors of the RBI have had their terms cut short. The recent debate has to be seen in this context. This volume focuses on all the governors of the RBI since 1935 and describes how almost all of them had problems with the government. It is inherent in the tasks they are charged with. It also shows how, after 1957, when Jawaharlal Nehru accepted the resignation of Benegal Rama Rau after the latter’s quarrel with the finance minister, T. T. Krishnamachari, the RBI virtually became a department of the finance ministry. Its claims to independence have been revived only after 2002, when financial sector reform changed the structure of a large part of the financial economy. The book ends with advice to future governors about what they should remember: they are the servants of the sovereign, not independent Wu-li masters. They have to manage the government, not fight it. Theirs, as a former governor sensibly pointed out, is a circumscribed independence, the perimeters of which are defined by the government.

    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

    

    A wealth of accompanying figures and exercises illustrate and develop the material in more depth. They describe what a quantum computer is, how it can be used to solve problems faster than familiar "classical" computers, and the real-world implementation of quantum computers. Their book concludes with an explanation of how quantum states can be used to perform remarkable feats of communication, and of how it is possible to protect quantum states against the effects of noise.

    The nature of football continually changes, which means its analysis must also keep pace. This book is for students, thinkers, and theorists of the game.'Ted Hopkins - Carlton premiership player, author, and co-founder of Champion Data. Australian Rules football has been described as the most data-rich sport on Earth. Every time and everywhere an AFL side takes to the field, it is shadowed by an army of statisticians and number crunchers. The information they gather has become the sport's new language and currency. ABC journalist James Coventry, author of the acclaimed Time and Space, has joined forces with a group of razor-sharp analysts to decipher the data, and to use it to question some of football's long-held truisms. Do umpires really favour the home side? Has goal kicking accuracy deteriorated? Is Geelong the true master of the draft? Are blonds unfairly favoured in Brownlow medal voting? And are Victorians the most passionate fans? Through a blend of entertaining storytelling and expert analysis, this book will answer more questions about footy than you ever thought to ask. Praise for Time and Space:'Brilliant, masterful' - The Guardian'Arguably one of the most important books yet written on Australian Rules football.' - Inside History'Should find its way into the hands of every coach.' - AFL Record

    Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.