The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    The author dusts off over 30 years of experience to tell you how it's done. He not only tells how to make darned near any kind of beer, wine, liqueur and whiskey you can imagine, he also tells you how to make the equipment to do it with. Ever wondered how a still is made? There are 8 types illustrated in this book and though it's illegal to build or possess a still, the illustrations are so complete, you could easily do it! This book includes plans and operating instructions from underground moonshiner manuals used in Mid East oil fields. Some are built with components found in most home kitchens. From moonshine, homebrew, wine and liqueur recipes, to stills, make your own cappers, kegs, scales and even a malt factory from an old freezer, it's all here!Easy to read and humorous, this book entertains you with Alaskan tales and bootlegger's lore while you learn to make everything from beer and blossom wines, to horse turd whiskey and bathtub gin. If you could buy only one "make your own" book for the rest of your life, this is it. It's like getting a whole shelf of books for the price of one!

    Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    It is designed as a reference for students in the physical sciences and engineering.

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.

    Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style. Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics. Ten major topics — profusely illustrated — include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party Problems, Digraphs and Mathematical Models, Games and Puzzles, Graphs and Social Psychology, Planar Graphs and Coloring Problems, and Graphs and Other Mathematics. A useful Appendix covers Sets, Relations, Functions, and Proofs, and a section devoted to exercises — with answers, hints, and solutions — is especially valuable to anyone encountering graph theory for the first time. Undergraduate mathematics students at every level, puzzlists, and mathematical hobbyists will find well-organized coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book.

    Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

    The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all, this is an excellent work, of equally high value for both student and teacher." Zentralblatt f�r Mathematik

    One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

    It offers the best information in the world on the current popular and traditional uses of the nearly 500 species covered, much of it available for the first time. More than 530 color photographs illustrate the plants and their flowers, leaves, and fruits. The descriptive text combines scientific, ethnobotanical, and cross-cultural information, making this field guide unique. An index to medical topics is helpful for quickly locating information on specific ailments. Symbols next to the plant descriptions provide quick visual warnings for poisonous and allergenic plants. Organized by flower color for fast identification, this guide is an essential aid to appreciating native plants and the wild areas they inhabit.

    There are no complicated physics lessons here. Rather, conceived in the “take dead aim” spirit of Harvey Penick’s classic instructional on golf, The Little Red Book of Fly Fishing offers a simple, digestible primer on the basic elements of fly fishing: the cast, presentation, reading water, and selecting flies. The Table of Contents includes:Part One: The Cast: 45 Tips to Help You Cast Straighter, Longer, and More AccuratelyPart Two: Presentation: 60 Tips to Help you Place and Drift Your Flies So that Trout Will Want to Eat ThemPart Three: Reading Water: 37 Tips to Help You Find Trout in a Rive and Effectively Cast to themPart Four: 43 Tips to Help You Select, Rig, and Fish the Right Fly at the Right Time in the Right WayPart Five: Miscellaneous: 65 Tips on Fighting Fish, Wading, Choosing Ger, and Everything Else That MattersIn the end, this collection of 240 tips is one of the most insightful, plainly spoken, and entertaining works on this sport—one that will serve both novices and experts alike in helping them reflect and hone-in their approaches to fly fishing.

    They bring a conceptual approach to chemistry and integrate problem-solving skills throughout, helping students transition from theory to practice. A strong emphasis on models, real-world applications, and visual learning prevails throughout the text. The Seventh Edition seamlessly integrates the strengths of the Zumdahl approach through a comprehensive and interwoven print and technology program. Enhanced Sample Exercises, online homework problems, and Classroom Response System content help instructors assess conceptual understanding and problem-solving skills, while new animations and images support visual learning. In addition, Houghton Mifflin offers implementation services through our TeamUP program to help instructors and students get the most out of the text and its supplements.