It develops an understanding of function and evolution into the discussion of anatomy of the various systems.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.

    With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.

    Contains 3000 solved problems with solutions, solved problems; an index to help you quickly locate the types of problems you want to solve; problems like those you'll find on your exams; techniques for choosing the correct approach to problems; and guidance toward efficient solutions.

    Best of all, it fits in your shirt pocket! (3.2" x 5.4" x 0.7")The following chapters are contained in Pocket Ref: -- Air-- Automotive-- Carpentry & Construction-- Chemistry & Physics-- Computers-- Constants-Physical-- Electrical-- Electronics-- General Information-- General Science-- Geology-- Glues, Solvents & Paints-- Hardware-- Math-- Mining & Milling-- Money-- Plumbing & Pipe-- Rope, Cable & Chain-- Steel & Metals-- Surveying & Mapping-- Tools-- Water-- Weights of Materials-- Welding-- 3500 Conversion Factors - Perpetual Calendar - Note Pages with Metric/US Rulers-- Detailed IndexNew sections included in the second edition-- Dry air Specific Heat & Sound Velocity at Various Temperatures & Pressures-- Wood Beam Strength for 76 species of wood-- Max Floor Joist Spans for 21 wood species, 3 grades & 7 load ratings-- Galvanic Series of Metals in Sea Water-- World Wide Telephone Area Codes & International Access Codes-- North American Top 400 airports with elevation, name, code and area population-- Capacities of Hydraulic Rams from 1" to 60"-- Force Required to Punch 10 different metal types at thicknesses from 1/16" to 1-1/4"-- Friction/Head Loss for 38 types of pipe with flow rates from 0.5 to 5000 gpm-- Perpetual Calendar with holidays for all years from 1858 to 2025

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

    Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor.

    But what if you could have your computer do them for you?In "Automate the Boring Stuff with Python," you'll learn how to use Python to write programs that do in minutes what would take you hours to do by hand no prior programming experience required. Once you've mastered the basics of programming, you'll create Python programs that effortlessly perform useful and impressive feats of automation to: Search for text in a file or across multiple filesCreate, update, move, and rename files and foldersSearch the Web and download online contentUpdate and format data in Excel spreadsheets of any sizeSplit, merge, watermark, and encrypt PDFsSend reminder emails and text notificationsFill out online formsStep-by-step instructions walk you through each program, and practice projects at the end of each chapter challenge you to improve those programs and use your newfound skills to automate similar tasks.Don't spend your time doing work a well-trained monkey could do. Even if you've never written a line of code, you can make your computer do the grunt work. Learn how in "Automate the Boring Stuff with Python.""

    It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

    Most of the time this math works quietly behind the scenes . . . until it doesn't. All sorts of seemingly innocuous mathematical mistakes can have significant consequences.Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean.Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

    Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

    This friendly-and-straightforward guide introduces the basics of electronics and enhances your learning experience by debunking and explaining concepts such as circuits, analog and digital, schematics, voltage, safety concerns, and more. Packed with nearly 900 pages of detailed information, this book shows you how to develop your own breadboard, design your own circuit, and get savvy with schematics. Covers the basics of electronics and demystifies a variety of electronics conceptsEncourages you to dive in and design a variety of fun and interesting entertainment electronics, mobile, and automotive projectsOffers troubleshooting advice for common electronics challengesReviews circuits, schematics, voltage, safety concerns, and much moreSo, get plugged in and start your next electronics project today with this book by your side!

    Instead, it tells you-and shows you-what basic and advanced electronics parts and components do, and how they work. Chock-full of illustrations, Practical Electronics for Inventors offers over 750 hand-drawn images that provide clear, detailed instructions that can help turn theoretical ideas into real-life inventions and gadgets.

    Mitchell covers the field of machine learning, the study of algorithms that allow computer programs to automatically improve through experience and that automatically infer general laws from specific data.