The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.

    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.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    

    Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    Chapters are brief and each major Chinese dynasty, Japanese Shogunate, or other discrete period is treated in a separate chapter. Chapters or groups of chapters on China or Japan alternate. Encounters with the West, beginning in the 16th and expanding greatly in the 19th century, are extensively covered.

    Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.Also available as an eBook

    What will it take to turn this opportunity into reality in every classroom, school, and district? Continuing its tradition of mathematics education leadership, NCTM has defined and described the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students. Principles to Actions: Ensuring Mathematical Success for All offers guidance to teachers, specialists, coaches, administrators, policymakers, and parents: Builds on the Principles articulated in Principles and Standards for School Mathematics to present six updated Guiding Principles for School MathematicsSupports the first Guiding Principle, Teaching and Learning, with eight essential, research-based Mathematics Teaching PracticesDetails the five remaining Principles--the Essential Elements that support Teaching and Learning as embodied in the Mathematics Teaching PracticesIdentifies obstacles and unproductive and productive beliefs that all stakeholders must recognize, as well as the teacher and student actions that characterize effective teaching and learning aligned with the Mathematics Teaching PracticesWith Principles to Actions, NCTM takes the next step in shaping the development of high-quality standards throughout the United States, Canada, and worldwide.

    Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

    Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology. Incredibly quick - clear artworks and simple explanations that can be easily remembered. Based on scientific research that the brain best absorbs information visually. Compact and portable format - the ideal, handy reference.

    A student of Anton Rubinstein and a leading exponent of the works of Chopin, Liszt, and Schumann, he always balanced his virtuoso playing with a firm adherence to the piece as written. It is this balanced approach to piano playing that he advocates in this highly regarded volume on piano technique.The first section of the book contains a discussion of the rules and tricks of correct piano playing: touch, methods of practicing, the use of the pedal, playing the piece as it is written, "How Rubinstein Taught Me to Play," and indispensables in pianistic success. The second, much longer, section contains Hofmann's answers to specific questions sent to him by piano students and amateurs: questions on positions of the body and hand, actions of the wrist and arm, stretching, staccato, legato, precision, fingering, octaves, the pedals, practice, marks and nomenclature, phrasing, rubato, theory, transposing, and much more.Full of important background information that is highly useful to every piano player, this book will set students on the right track in their studies and allow every amateur to measure the level of his commitment and the quality of the instruction he is receiving. For insight into many facets of playing the piano, there is no better guide than Josef Hofmann.

    This book is valuable to teachers, and for preachers, too. DAVID R. MAINS DIRECTOR CHAPEL OF THE AIR It's about time. Creative Teaching Methods is not just another book on the theory of creativity (which we don't need). Rather, it is a book on the practice of creativity in the classroom (which we desperately need). This is a book you will use over and over again.Creative Teaching Methods is loaded with practical and usable ideas that will make creative teaching a reality in your classroom. Without hesitation, I would recommend this book to anyone who teaches young people or adults. MIKE YACONELLI PRESIDENT YOUTH SPECIALTIES Marlene LeFever makes the principle of learning through creative participation come alive for Christian education. Creative methods are vividly and invitingly explored for their potential for deepening the spiritual life through new ways of hearing the Word of God and using heretofore untapped personal resources in responding to it. Unique in its assumption that in Christian education creativity is just as essential in work with youth and adults as it is in work with children. D. CAMPBELL WYCKOFF PROFESSOR OF CHRISTIAN EDUCATION EMERITUS PRINCETON THEOLOGICAL SEMINARY Marlene D. LeFever is Manager of Ministry Relations for David C. Cook Church Ministries, holds a master of Christian education and is a frequent speaker at Sunday School conventions, writers' conferences, and professional organizations. Editor of Teacher Touch, a quarterly letter of affirmation for Sunday School teachers, Marlene has authored over ten books, including Creative Teaching Methods (Cook), Creative Hospitality (Tyndale), and Is Your To Do List About To Do You In? (NavPress).

     Do you want to turn your passion into passive income streams? Yes, you can get paid and do, teach what you love! Do you want to build an online teaching business with little to no investment up front? Do you want to become an entrepreneur? Do you want to work from home? If you’ve answered “yes” to even one of these questions then reading this eBook may turn out to be the best decision you’ve made this year!The ultimate purpose of this training (eBook, PDF files, 3 in-depth video sessions) is to teach you how to create products for your online teaching in a form of video courses. Howdy,My name is Vladimir Raykov.I’m a best-selling online instructor teaching over 12000 students and 20 online courses. I’m also the creator of STEP-BY-STEP TO YOUR FIRST 1000 STUDENTS program. During the last year, I’ve been gathering the best techniques for creating an online course and I’ve put them into this free training that is intended especially for beginners. I will completely reveal the exact 3-Step System for producing high-quality courses that I used to reach 5 figures for my online teaching business, doing it part-time and without spending money on advertising.HERE IS JUST A FRACTION OF WHAT YOU WILL LEARN FROM MY EBOOK AND FREE VIDEO TRAINING• Top 7 reasons why you should create an online course that generates income.• Top 7 (costly) mistakes beginner online instructors make and how to avoid them.• The 3-Step System for producing online courses with the velocity of light.• The top 4 mega-niches which are responsible for over 80% of the revenue generated by online instructors.• How to structure and organize your course. More specifically, how to make an outline for your course and the most effective internal structure of ALL your lectures.• All the tools (software) you will need to create products for your online teaching business of an utmost quality.• 6 Steps of a lecture creation.• The exact technical specifications for your video lectures.• The microphone I use to record crystal clear audio files.• How to get a professionally designed thumbnail for your course for free.• How to write a winning title for your course – basic copywriting skills part 1.• How to write a winning description for your course – basic copywriting skills part 2.• The best platforms to launch your course as a self-published instructor and their business models. • And much, much more!THE BEST PART• You don’t need to have a website.• You don’t have to pay for advertising.• You don’t have to FILM yourself. • You don’t have to be a technical savvy.• You don’t have to worry about video hosting. • You don’t have to have a higher academic degree.

    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.