Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    This is type of problems asked at the JEE (IIT). The purpose of this book is to show students how to handle such problems and give them sufficient practice in solving problems of this type, thus building their confidence. The main features of this book are:Each chapter begins with a summary of facts, formulate and working techniques. Trick, tips and techniques have been clearly marked with the icon.A large number of problems have been solved and explained in each chapter.The exercises contain short-answer, long-answer and objective type questions.Multiple-choice questions in which more than one option may be correct have also been given.Time-bound tests at the end of each chapter will help students practise answering questions in a given time.The book also includes integrated tests, bases on all the chapters.A chapter containing miscellaneous problems has been given at the end of the book. This will help students gain confidence in solving problems without prior knowledge of the chapter(s) to which the problems belong.Table of ContentsAlgebraProgressions, Related Inequalities and SeriesDeterminants and Cramer's RuleEquations, Inequations and ExpressionsComplex NumbersPermutation and CombinationBinomial Theorem for Positive Integral IndexPrinciple of Mathematical Induction (PMI)Infinite SeriesMatricesTrigonometryCircular Functions, IdentitiesSolution of EquationsInverse Circular FunctionsTrigonometrical Inequalities and InequationsLogarithmProperties of TriangleHeights and DistancesCoordinate GeometryCoordinates and Straight LinesPairs of Straight Lines and Transformation of AxesCirclesParabolaEllipse and HyperbolaCalculusFunctionDifferentiationLimit, Indeterminate FormContinuity, Differentiability and Graph of FunctionApplication of dy/dxMaxima and MinimaMonotonic Function and Lagrange's TheoremIndefinite In

    Two primary objectives guided the authors in the revision of this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Hostetler/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fourth of Calculus: Early Transcendental Functions, 4/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Fourth Edition is part of the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.

    One morning he misses his bus when he stops to put a strange caterpillar in a matchbox. As the bus passes he’s shocked to spot himself inside. Like Schrödinger’s Cat in the famous quantum thought experiment, the caterpillar's spawned parallel possibilities. This comic novel explores Graham’s search for a better life among the various overlapping alternatives.Another clone, Grim Dupeint, is a loathsome international arms dealer. Graham infiltrates Grim’s corporation, then embezzles cash for charity. When a furious Grim realises, Graham must act fast. And right now he's acting like fish food.Graham launches upon a new lifestyle (and sex life) as he dons the designer suits of power. But sinister figures soon see through Graham’s clothing. Now Graham’s under attack from the corporation, the police, his ex-wife’s private detective, and an infuriatingly pompous water-colourist who Graham might have been if he’d gone to art college rather than business school. To survive (and steal the artist’s wonderful woman) Graham needs to find hidden resources. By definition Dopplegraham’s equally resourceful. Bugger...Schrödinger's Caterpillar - a stupid book for brainy people!

    It expands on the foundation acquired in chemistry courses and enables students to understand the mechanisms as they come across them in your classroom or laboratory.Organic Reaction Mechanisms provides extensive coverage of various organic reaction and rearrangements with emphasis on their applications in syntheses. The authors discuss reaction pathways, such as substitutions, additions, eliminations, oxidations, reductions, aromatic substitutions, aliphatic nucleophilic substitution, and electrophilic substitutions with numerous reaction equations to show the mechanism. The text also details the various reaction intermediates, including carbocations, carbanions, free radicals, carbenes, nitrines, benzynes, arynes, ylides, and enamines.Furthermore, the reagents are surveyed throughout the text, and correlation tables are provided to aid in identifying which oxidation/reduction agents to use for oxidizing/reducing various types of compounds. The applications of organic reagents are illustrated with examples and problems at the end of each chapter, which also serve to review the mechanisms learned and topics discussed. A comprehensive discussion on organic reactions, Organic Reaction Mechanisms will benefit advanced undergraduate and graduate chemistry students in their understanding and application of organic syntheses.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow.Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.

    Now that its basketball program has fallen apart, CSU’s only claim to fame is its Gravinics Department, dedicated to the study of an obscure European country—its mythology, its extraordinarily difficult language, and especially its bizarre star poet, Henderson.Having discovered Henderson’s poetry in a trash bin, Stanley Higgs becomes the foremost scholar of the poet’s work, accepts a position at Chandler State University, achieves international academic fame, marries the Dean’s daughter, and abruptly stops talking. With all of academia convinced that Higgs is formulating a great truth, the university employs Orwellian techniques to record Higgs’s every potential utterance and to save its reputation. A feckless Gravinics language student, Samuel Grapearbor, together with his long-suffering girlfriend Julia, is hired to monitor Higgs during the day. Over endless games of checkers and shared sandwiches, a uniquely silent friendship develops. As one man struggles to grow up and the other grows old, The Grasshopper King, in all of his glory, emerges.In this debut novel about treachery, death, academia, marriage, mythology, history, and truly horrible poetry, Jordan Ellenberg creates a world complete with its own geography, obscene folklore, and absurdly endearing -characters—a world where arcane subjects flourish and the smallest swerve from convention can result in -immortality.Jordan Ellenberg was born in Potomac, Maryland in 1971. His brilliance as a mathematical prodigy led to a feature in The National Enquirer, an interview with Charlie Rose on CBS’s Nightwatch, and gold medals at the Math Olympiad in Cuba and Germany. He is now an Assistant Professor of Math at Princeton University and his column, "Do the Math," appears regularly in the online journal Slate. This is his first novel.

    The book carefully presents the fundamentals of materials processing along with their relevant applications, so that the reader can clearly assess the capabilities, limitations, and potentials of manufacturing processes and their competitive aspects. Using real-world examples and well-wrought graphics, this book covers a multitude of topics, including the mechanical behavior of materials; the structure and manufacturing properties of metals; surfaces, dimensional characteristics, inspection, and quality assurance; metal-casting processes including heat treatment; bulk deformation processes; sheet-metal forming processes; material removal processes; polymers, reinforced plastics, rapid prototyping and rapid tooling; metal powders, ceramics, glasses, composites, and superconductors; joining and fastening processes; microelectronic and micromechanical devices; automation; computer-integrated systems; and product design. For manufacturing engineers, metallurgists, industrial designers, material handlers, product designers, and quality assurance managers.

    There are classical logic puzzles, lateral thinking puzzles, “who am I?” riddles, mathematical brain teasers, word ladders, ditloids, and a large selection of illustrated pen and paper, coins, cups, and toothpicks puzzles (please view the preview of this book for a full listing). This is the first time a collection of such breadth has been compiled and formatted especially for Kindle devices. The puzzles have been carefully organized into 25 chapters, and each question is hyperlinked to its solution, to provide utmost ease of navigation. Alongside the world’s most famous riddles, are some lesser known gems, and some brand new puzzles, in print here for the first time. Our aim was to create a definitive compendium of riddles and puzzles to bring enjoyment to people of all ages. We hope you will enjoy unraveling them as much as we enjoyed creating and editing them. Here are a handful of sample riddles: Outside the Box Riddles: You need to divide a round birthday cake into eight pieces, so each of your guests will have something to eat. How can you do this by making only three straight cuts with a knife, and without moving any of the pieces? The king’s two bodyguards developed an ingenious method for assuring the king’s safety. With the king standing between them, they would face in opposite directions; one looking to the west and the other to the east, but at the same time, and without the use of any reflective surfaces, they would both be able to observe the king clearly. How was this possible? Pure Logic Riddles: There are two glasses. One contains water, and the other contains an equal quantity of wine. A teaspoon of water is removed and mixed into the glass of wine. A teaspoon of the wine-water mixture is then removed and mixed into the glass of water. Which of the mixtures is now purer? The sorcerer’s tower was enchanted in such a way that it was able to build itself. Bricks, slates, tiles, and panes of glass, all flew to it of their own accord and danced into position. The tower doubled in size every day until after 100 days it reached a height that provided fine views over the entire realm. How many days did the tower take to reach half its full height? Lateral Thinking Puzzles: Five men are going to church. It starts to rain, and four of the men begin to run. When they arrive at the church, the four men who ran are soaking wet, whereas the fifth man, who didn’t run, is completely dry. How is this possible? Think Twice Riddles: If you are running a race, and you overtake the person in second place, what place do you move into? Word Riddles: SOS is read the same forwards, backwards, and even upside-down. What four-letter word also shares these properties? Number Puzzlers: How many letters are there in the answer to this question? You have an opportunity to buy a hen. In fact, you have been offered a choice between two quite remarkable animals. One of the hens produces six dozen dozen eggs per month, and the other produces a half dozen dozen. Admittedly, both seem impressive. Does it matter which hen you choose? Traditional Poetic Riddles: Five creatures cross a field of snow; But leave a single track behind Whose loops and bows are soon, I know, Unravelled by the mind. Coins, Cups, and Toothpicks Illustrated Riddles: A coin is dropped into an empty bottle and a cork is then inserted in the neck of the bottle. How is it possible to remove the coin without taking out the cork, or breaking the bottle?

    It covers areas such as fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.

    New to this third edition are expanded coverage of such important topics as surface boundary interfaces, improved discussions of such physical and mathematical laws as the Law of Biot and Savart and the Euler Momentum Integral. A very important new section on Computational Fluid Dynamics has been added for the very first time to this edition. Expanded and improved end-of-chapter problems will facilitate the teaching experience for students and instrutors alike. This book remains one of the most comprehensive and useful texts on fluid mechanics available today, with applications going from engineering to geophysics, and beyond to biology and general science. * Ample, useful end-of-chapter problems.* Excellent Coverage of Computational Fluid Dynamics.* Coverage of Turbulent Flows.* Solutions Manual available.

    They tell us about Kaem Seba, a sickly and financially destitute young man who uses his extraordinary math talents to work out a way to stop time within limited volumes of space-time. He and Arya Vaii, a business student, set out to develop the phenomenon. It quickly becomes obvious that, beyond the fact that time stops inside the stasis field, the volume of space-time in stasis might be useful for some of its other phenomenal properties. Since it essentially can’t be altered (time’s stopped inside) it’s stronger than any known substance and, unlike matter, does not melt. This makes it the perfect material for building rocket engines. They set out to sell such engines in order to provide their budding business enough profit to let them develop other useful products. Unfortunately, the owner of the lab that tested the properties of their samples also recognizes their potential. His desire to share in their profits unhinges his shaky grasp on reality. When he can’t talk them into letting him join their enterprise, he demands a share at gunpoint.

    The neatly printed equations on the scrap of paper outlined his world-changing theory of general relativity, the first complete revision of our conception of the universe since Isaac Newton.Until then, Einstein's masterpiece of time and space had been trapped behind the physical and ideological lines of battle, unknown. Many Britons were rejecting anything German, but Eddington realized the importance of the letter: perhaps Einstein's esoteric theory could not only change the foundations of science but also lead to international co-operation in a time of brutal war.Few recognize how the Great War, the industrialized slaughter that bled Europe from 1914 to 1918, shaped Einstein's life and work. While Einstein never held a rifle, he formulated general relativity blockaded in Berlin, literally starving. His name is now synonymous with 'genius', but it was not an easy road.Einstein spent a decade creating relativity and his ascent to global celebrity owed much to against-the-odds international collaboration, including Eddington's globe-spanning expedition of 1919 - two years before they finally met - to catch a fleeting solar eclipse for a rare opportunity to confirm Einstein's bold prediction that light has weight.We usually think of scientific discovery as a flash of individual inspiration, but here we see it is the result of hard work, gambles and wrong turns. Einstein's War is a celebration of what science can offer when bigotry and nationalism are defeated. Using previously unknown sources and written like a thriller, it shows relativity being built brick-by-brick in front of us, as it happened 100 years ago.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.