Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    Dealing with measure theory and Lebesque integration, this is an introductory graduate text.

    The book's approach interweaves traditional topics with data analysis and reflects the use of the computer with close ties to the practice of statistics. The author stresses analysis of data, examines real problems with real data, and motivates the theory. The book's descriptive statistics, graphical displays, and realistic applications stand in strong contrast to traditional texts which are set in abstract settings.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    In addition to step-by-step coverage of documentation, the book includes an overview of the research-writing process entitled "Writing Scholarly Papers" and three useful appendices. Thorough and practical, this convenient reference guide is also less expensive and easier for undergraduates to use than the APA Manual. The Second Edition features expanded coverage of electronic sources to keep students up-to-date on using and evaluating Internet references in their research. In addition, this new edition provides more guidance on avoiding plagiarism. The two sample APA-style papers--one argumentative and one experimental--are carefully annotated to give students extra support as they master the elements of manuscript preparation and documentation principles.

    The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.

    It offers hundreds of tips, warnings, and anecdotes from experienced educators--all in one warm and charming package. Benefit from their wisdom: ""Principals love a heads-up on both good and bad news. It only makes you look good if you keep the principal in the loop. Don't hide in your classroom "" --Fifth grade teacherLearn from their mistakes: ""Don't put off returning phone calls of a pushy parent. The longer you wait, the longer they have to think of new questions "" --U.S. History and Government teacherAnd remember that humor conquers all: ""When you're having a hard day, remember why you became a teacher in the first place. My neighbors wouldn't listen to me talk about environmental science, so I had to find a captive audience "" --Environmental Science teacher

    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

     The plan works on any budget. It works for the wealthy busy professional as well as for the struggling artist short on funding. About the Author ~ As the founder of Online Book Club, Scott Hughes has spent over a decade in this new industry, working with thousands of authors to advertise books online. Scott Hughes has worked in the ebook marketing industry before the Kindle ever existed!

    This edition, which was prepared by Kip S. Thorne (Feynman Professor of Theoretical Physics at California Institute of Technology), fully incorporates all the errata and corrections gathered (but never used in a published edition) by Feynman.

    Now, Matt returns with a major update that covers layers in Photoshop CS5 in the same concise, easy to understand way that's made him so well known in the field of Photoshop training.When asked about the original version of this book, Matt said, "I wanted it to be the Photoshop book that I wish was around when I was first learning." This update improves upon that concept. Within these pages, you'll learn about: Working with and managing multiple layers in Photoshop CS5 Building multiple-layer images Blending layers together Layer masking and just how easy it is Which of the 25+ layer blend modes you really need to know (there are just a few) Using layers to enhance and retouch your photos All of the tips and tricks that make using layers a breeze Plus, a new chapter on advanced layer techniques and compositing to help take your work to the next level If you want to fully understand layers in Photoshop CS5, this book is the one you've been waiting for!

    Targeted fold-out area maps guide your explorations through the sights and neighborhoods of Paris, both on and off the beaten path. Insider tips accompany this compilation of must-not-miss landmarks; arts and entertainment venues; and places to eat, drink, shop, and stay. You can't do without it! 216 pages plus 10 fold-out maps.

    The Art of Problem Solving, Volume 2, is the classic problem solving textbook used by many successful high school math teams and enrichment programs and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.Volume 2 is appropriate for students who have mastered the problem solving fundamentals presented in Volume 1 and are ready for a greater challenge. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book.Speaking of problems, the Art of Problem Solving, Volume 2, contains over 500 examples and exercises culled from such contests as the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.

    Aimed at accountants or readers of other career paths, this book helps them build their decision making skills and understand how to use accounting information to make quality business decisions.