"The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics."--Jacket.

Introduction to the mathematics involved in designing identification codes for everyday goods.

All students can learn about multiplying one-digit numbers through text written at four reading levels. Symbols on the pages represent reading-level ranges to help differentiate instruction. Provided comprehension questions complement the text.

Stimulating treasury of entertaining tricks, stunts, and magical effects based on such mathematical principles and ideas as magic squares, the Fibonacci Series, Moebius strips, cycloids, topology, and more. Only simple props required: from playing cards and matches to coins. No magic or mathematical skills needed.

Discover the Mental Math Secrets to Become a Human Calculator! Schools taught you a way to do math that works when you have a pen & paper. But the same methods, takes a lot of effort when you have to do math in your head. This is because it uses a lot of your working memory (the short term memory used to complete a mental task). For example, try to mentally multiply 73,201 x 3. It might take only a few seconds to multiply the individual digits. But if you multiply right to left the way you learnt in school, you will rely on your working memory. You will use it to recall every single digit you calculate to put it back together and get your final answer. You may even find yourself calculating some digits again because you forgot one of the numbers. The difficulty increases further when you have to multiply larger numbers like 732 x 323. You will have to remember numbers across many steps. Mental arithmetic would be a lot easier to do in your head if you didn’t have to remember so many numbers. In school, you learnt to write the down numbers as you calculate to free up your working memory. In mental math, there are many other ways to do the same thing. One of the tricks to free up your working memory is to calculate from left to right instead of right to left. Try multiplying 73,201 x 3 from left to right, starting from 7 x 3 and ending with 1 x 3. You will find yourself calling out the answer before you even finish the whole problem. You can use this trick to solve any math problem in the future. But we have just scratched the surface. There are many more tricks inside the book that make doing mental math as easy as reading a comic. Here is a glimpse of what you will be able to master: • Mentally add large numbers(Example: Add 8739 + 5492 in your head in seconds) • Subtract numbers fast. (Example: Mentally subtract 7520 - 4998 without writing anything down) • Multiplication tricks to multiply three-digit numbers. (Example: Multiply 323 x 123 in your head) • Square large numbers in seconds (Example: Calculate 64 x 64 faster than a calculator) • Mentally divide large numbers (Example: Divide 601324 by 73 entirely in your head) • Quickly check a calculation with 90% accuracy without re-calculating • Overcome math anxiety • Cement your mental math skills with bonus weekly training. This book only has the best techniques used by over 27 mental and Vedic math experts across the world. The techniques in this book are so simple you will wonder why nobody taught you this before. You will be able to master it, even if you have failed math in school. Imagine waking up tomorrow being able to do lightning fast math in your head. Your family & friends will look at you like you are some kind of a genius. Since you do the calculations in your head, you will acquire better mental habits in the process. So you will not just look like a genius. You will actually be one. Buy Now To Become A Human Calculator Every minute you wait to buy this book, is another minute you don't see the benefit of being good with math & numbers. Put the power of mental math to work in your life so you can quickly & easily: • make math and numbers more useful • develop better memory habits • increase concentration • develop new ways to think • and do speed math entirely in your head faster than a calculator! Get your copy today! A MUST BUY for students of Vedic Mathematics, GMAT, GRE, SAT, Case Study Interview and Case Interview.

Political Consultants and Campaigns: One Day to Sell examines the differences between how political science theory suggests campaigns should be run and how political consultants actually run campaigns. In the wake of consultants who effortlessly move from campaigners to policymakers, the dearth of knowledge about the attitudes, beliefs, and strategies of the consultants themselves is still a glaring absence in the analysis of American politics. How can we purport to know what is happening in American political campaigns if we don't know what is on the minds of the men and women who run them? This book provides a clearer understanding of modern-day political campaigns by revealing what is on the minds of the people who run them. With original data from consultants, campaign managers, and professional campaign schools, author Jason Johnson examines consultant behavior on message formation, policy positioning, candidate recruitment, Internet strategy, and negative advertising and compares these practices to existing political science theory. This groundbreaking research makes Political Consultants and Campaigns: One Day to Sell a must-have resource for all students of American politics, campaign managers, or anyone interested in how political campaigns in America are run.