Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation. The self-teaching book is loaded with examples and graphics and provides a wide array of probing problems, accompanying solutions, and a glossary. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.

    The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    From man's first act of counting to higher mathematics, from the smallest living creature to the dazzling reaches of outer space, Asimov is a master at "explaining complex material better than any other living person." (The New York Times) You'll learn: HOW to make a trillion seem small; WHY imaginary numbers are real; THE real size of the universe - in photons; WHY the zero isn't "good for nothing;" AND many other marvelous discoveries, in ASIMOV ON NUMBERS.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    The books have been organized according to major historical periods, as they would be in any major Western history text. Each title is linked with the Amazon page where the book is offered. Simply click on the title that interests you and then download it to your computer. Kindle users may be able to use the same approach or they may simply search for the titles using the "search" page (scroll down to Kindle Store) and then download at no charge. If the first approach will not work, the second will.Mike Caputo (Editor)WHAT OUR READERS SAY"Fascinating." (S.F.S. reader)"A History readers' delight." (Amazon customer)"Great For Historical Knowledge." (C.E. reader) "Great books. I am glad someone took the time to curate this." (Adam, reader)"I love all of the older history volumes available on Amazon.This is a well constructed list..." (C.B. Reader)"...a good resource..." (A.A. Reader)"A fine list of free history books for the Kindle on Amazon."(Kindle Customer)"Would and do recommend to anyone who spends way too much time as I do, looking at books." (Kindle customer)"Great information here." (Kindle customer)"A great selection for research and reference. Many interesting books on multiple topics that were written as it was happening, not a researchers opinion of what they think happened way back when." (Kindle customer)

    - More up-to-date food database. - Improved search and index. - Improved usage instructions for different eReader devices.Ranked #1 in food counters by Amazon.com readers, in major bookstores, and in industry-trade papers. With more than 15 million print copies sold; this book has received the highest average reader-rating of all food counters and books in this category.Whether you want to lose weight, keep track of carbohydrates to help manage your diabetes, reduce other diet-related health risks, or just want make healthier eating choices, the CalorieKing Calorie, Fat and Carbohydrate 2012 is your best choice. It is a national best-seller, and favorite among both consumers and health care professionals. Start making healthier choices today with the CalorieKing convenient and reliable guide. Take it everywhere; look up foods before you eat, when eating choices count the most! The CalorieKing Counter makes it easy to know which foods to avoid. Better yet, provides options to help you make healthier choices to accomplish your weight and health goals.Inside the CalorieKing Counter:• A “book-within-a-book”: Menu items from 200 fast food chains and restaurants – the most comprehensive available• Unique eating out section – international restaurants, carnival and fair foods, movie concession snacks, food court menu items.• 17,000 food listings, both brand name and generic – researched meticulously and regularly updated by the CalorieKing team of dietitians and food researchers • Indispensable guides on diabetes and weight management• Essential sections and bonus counters for: Alcohol, caffeine, fats & cholesterol, fiber, protein, and sodium

    With enough space to record a single thought, a family quote, or a special event each day for five years, this beautiful keepsake makes sure those precious memories will last a lifetime.

    Once you have enjoyed experimenting with these fun taster projects, there are many more Twenty to Make books available on lots of different craft subjects.We hope that experimenting with these projects will inspire you to try out some of the Twenty to Make titles that these projects have been taken from, when you have had some fun making these tasters! There are projects both for beginners and more experienced crafters to try; from stitching a simple but effective Christmas place setting in felt, and making a lovely pair of button earrings using pretty shell buttons; to crocheting a flower, or a gorgeous beanie hat, and trying your hand at sugarcraft, with a cute dog, a hippopotamus, or a fairy. You could also knit a scarf for the special person in your life, or a cute and cuddly teddy bear for a child. These exciting projects are sure to appeal to a wide range of crafters and will make lovely gifts for family and friends alike. Have fun and happy crafting!Projects include Christmas bunting, sugar dogs and other animals, crocheted flowers, tiny bag made from Jelly Roll scraps, knitted mug hugs, granny squares, knitted baby bootees, a stitched fabric brooch, Steampunk style bracelet, friendship bracelets, earrings made from buttons and much more.

    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.