In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

     Speed Mathematics teaches simple methods that will enable you to make lightning calculations in your head-including multiplication, division, addition, and subtraction, as well as working with fractions, squaring numbers, and extracting square and cube roots. Here's just one example of this revolutionary approach to basic mathematics: 96 x 97 = Subtract each number from 100. 96 x 97 = 4 3 Subtract diagonally. Either 96--3 or 97-- 4. The result is the first part of the answer. 96 x 97 = 93 4 3 Multiply the numbers in the circles. 4 x 3 = 12. This is the second part of the answer. 96 x 97 = 9312 4 3 It's that easy!

    Digital SLR Cameras & Photography For Dummies covers the hardware, the software, and the techniques you need to take top-notch digital photos with your dSLR. This guide will get you clicking with information on:The advantages of a dSLR camera: more control over what portions of your images are in sharp focus; a more accurate viewfinder; lower levels of the annoying grain effect called noise; ability to capture the most fleeting action; more control over depth-of-field; ability to review your image immediately, upload the photo to your computer, make adjustments, and print a full-color print in minutes Choosing the accessories that will take your dSLR to the next level, depending on the type of photography you do and your current and future needs Megapixels, and matching pixels to print sizes and printers The components of a dSLR: lens; viewing system, aperture, shutter, light-sensitive component; medium for storing the captured image Accessorizing your dSLR with memory cards, filter add-ons (infrared, polarizers, neutral density, and special effects), electronic flash, tripods, and more Once you get your hands on a dSLR camera (literally), this reference helps you use its features and controls to take great pictures. Complete with more than 300 color photos, lots of tables, and clear, step-by-step instructions for various situations, subjects, and calculations, Digital SLR Cameras & Photography For Dummies helps you refine your techniques with info on:Getting the exposure right with the histogram, the metering system, or Program, Aperture Priority, Shutter Priority, or Manual Exposure modes Achieving the right focus with manual focus or autofocus The scoop on lenses--prime, zoom, and special--and using them appropriately and creativelyHow to use interchangeable lenses, set up speedy continuous-shooting burst modes, apply selective focus, and shoot under the lowest light levels Special features of dSLR to reduce noise, cancel camera shake, do time-lapse photography, and shoot infrared photos Working with the RAW format, JPEG, or both Taking action, flash, or sequence photos or freezing the action Composition basics, including the Rule of Thirds, tips for shooting portraits or group photos, and more Using image editors to fix-up your photos (with cropping, tonal adjustments, color correction, spot removal, sharpening/blurring, and more), with step-by-step instructions for using Photoshop Compositing images Choosing your printer and evaluating your output options With Digital SLR Cameras & Photography For Dummies, you won't only get the how-to for various types of shots, you'll see the results with great color photos. In no time, you'll be taking great photos of your own.

    Topics include the development of counting and numbers systems, the emergence of zero, cultures that don’t have numbers, algebra, solid geometry, symmetry and beauty, perspective, riddles and problems, calculus, mathematical logic, friction force and displacement, subatomic particles, and the expansion of the universe. Great mathematical thinkers covered include Napier, Liu Hui, Aryabhata, Galileo, Newton, Russell, Einstein, Riemann, Euclid, Carl Friedrich Gauss, Charles Babbage, Montmort, Wittgenstein, and many more. The book is beautifully illustrated throughout in full color.

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.

    You can podcast to boost your business, promote your passion, share your opinions, or just have fun. The point is to say what you want to say to those who want to hear it. With step-by-step explanations, screen shots, and tons of examples, this guide clues you in on recording, producing, and hosting your very own podcast with info on:Finding your voice and your niche, whether you want to talk tech, make your own kinds of music, educate listeners, make people laugh, do soundseeing tours, serialize your novel, or invent a new podcasting genre Getting the bare necessities (if you don't already have them), including a microphone, recording software, and an audio card Audio editing software such as Audacity, Cakewalk for PCs, GarageBand for musicality, and Audio HiJack Pro for Macs Recording, including understanding dB (decibel levels), capturing or minimizing ambient noise, and more Editing with GarageBand or Audacity, adding bed music, and including intros and outros for a signature finishing touch You want your podcast to be heard. Podcasting For Dummies helps you launch and promote it with info on how to:Downsize your audio files with MP3 compression Change bit rates and sample rates in Audacity and iTunes Create and edit your ID3 tags in Audacity or iTunes Post your show notes using Movable Type or Libsyn Simplify the RSS 2.0 feed by using blogging software or a podcast-hosting company such as Audioblog.com, Podcastamatic, and Feeder Ping for publicity Communicate with your listeners on your blog, through online discussion groups such as Yahoo! Groups or Google Groups, or on online forums Of course, if you want to be a podcatcher (a listener) and subscribe to podcasts, this guide shows you how to do that, too! Complete with a companion podcast--a free weekly audio commentary that will keep you up to speed on the podsphere--this guide helps you get your message heard, loud and clear.

    It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    It quickly covers the essentials, and then focuses on the how-to instead of theory. It covers:Fundamental concepts such as circuits, schematics, voltage, safety, and more Tools of the trade, including multimeters, oscilloscopes, logic probes, and more Common electronic components (e.g. resistors, capacitors, transistors) Making circuits using breadboards and printed circuit boards Microcontrollers (implementation and programming) Author Gordon McComb has more than a million copies of his books in print, including his bestselling Robot Builder's Bonanza and VCRs and Camcorders For Dummies. He really connects with readers! With lots of photos and step-by-step explanations, this book will have you connecting electronic components in no time! In fact, it includes fun ideas for great projects you can build in 30 minutes or less. You'll be amazed! Then you can tackle cool robot projects that will amaze your friends! (The book gives you lots to choose from.)Students will find this a great reference and supplement to the typical dry, dull textbook. So whether you just want to bone up on electronics or want to get things hooked up, souped up, or fixed up, ...whether you're interested in fixing old electronic equipment, understanding guitar fuzz amps, or tinkering with robots, Electronics For Dummies is your quick connection to the stuff you need to know.

    . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun. In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

    How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions.And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.