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The Trachtenberg Speed System of Basic Mathematics by Jakow Trachtenberg
non-fiction
mathematics
math
maths
The Prince
Niccolò Machiavelli
Hence: Can Machiavelli, who makes the following observations, be Machiavellian as we understand the disparaging term? 1. So it is that to know the nature of a people, one need be a Prince; to know the nature of a Prince, one need to be of the people. 2. If a Prince is not given to vices that make him hated, it is unsusal for his subjects to show their affection for him. 3. Opportunity made Moses, Cyrus, Romulus, Theseus, and others; their virtue domi-nated the opportunity, making their homelands noble and happy. Armed prophets win; the disarmed lose. 4. Without faith and religion, man achieves power but not glory. 5. Prominent citizens want to command and oppress; the populace only wants to be free of oppression. 6. A Prince needs a friendly populace; otherwise in diversity there is no hope. 7. A Prince, who rules as a man of valor, avoids disasters, 8. Nations based on mercenary forces will never be solid or secure. 9. Mercenaries are dangerous because of their cowardice 10. There are two ways to fight: one with laws, the other with force. The first is rightly man’s way; the second, the way of beasts.
How to Read a Book: The Classic Guide to Intelligent Reading
Mortimer J. Adler - 1940
It is the best and most successful guide to reading comprehension for the general reader. And now it has been completely rewritten and updated. You are told about the various levels of reading and how to achieve them – from elementary reading, through systematic skimming and inspectional reading, to speed reading, you learn how to pigeonhole a book, X-ray it, extract the author's message, criticize. You are taught the different reading techniques for reading practical books, imaginative literature, plays, poetry, history, science and mathematics, philosophy and social science. Finally, the authors offer a recommended reading list and supply reading tests whereby you can measure your own progress in reading skills, comprehension and speed.This a previously-published edition of ISBN 9780671212094
Gödel, Escher, Bach: An Eternal Golden Braid
Douglas R. Hofstadter - 1979
However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.
Plato and a Platypus Walk Into a Bar: Understanding Philosophy Through Jokes
Thomas Cathcart - 2006
Its Philosophy 101 for everyone who knows not to take all this heavy stuff too seriously. Some of the Big Ideas are Existentialism (what do Hegel and Bette Midler have in common?), Philosophy of Language (how to express what its like being stranded on a desert island with Halle Berry), Feminist Philosophy (why, in the end, a man is always a man), and much more. Finally it all makes sense!
Discrete Mathematics and Its Applications
Kenneth H. Rosen - 2000
These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.
Relativity: The Special and the General Theory
Albert Einstein - 1916
Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.
The Calculus Direct
John Weiss - 2009
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
Discovering Statistics Using SPSS (Introducing Statistical Methods)
Andy Field - 2000
What's new in the Second Edition? 1. Fully compliant with the latest version of SPSS version 12 2. More coverage of advanced statistics including completely new coverage of non-parametric statistics. The book is 50 per cent longer than the First Edition. 3. Each section of each chapter now has a notation - 1,2 or 3 - referring to the intended level of study. This helps students navigate their way through the book and makes it user-friendly for students of ALL levels. 4. Has a 'how to use this book' section at the start of the text. 5. Characters in each chapter have defined roles - summarizing key points, to pose questions etc 6. Each chapter now has several examples for students to work through. Answers provided on the enclosed CD-ROM
Six Easy Pieces: Essentials of Physics By Its Most Brilliant Teacher
Richard P. Feynman - 1995
This set couples a book containing the six easiest chapters from Richard P. Feynman's landmark work, Lectures on Physics—specifically designed for the general, non-scientist reader—with the actual recordings of the late, great physicist delivering the lectures on which the chapters are based. Nobel Laureate Feynman gave these lectures just once, to a group of Caltech undergraduates in 1961 and 1962, and these newly released recordings allow you to experience one of the Twentieth Century's greatest minds—as if you were right there in the classroom.
The Bell Curve: Intelligence and Class Structure in American Life
Richard J. Herrnstein - 1994
The controversial book linking intelligence to class and race in modern society, and what public policy can do to mitigate socioeconomic differences in IQ, birth rate, crime, fertility, welfare, and poverty.
How to Prove It: A Structured Approach
Daniel J. Velleman - 1994
The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5
Word Power Made Easy
Norman Lewis - 1949
As you complete the exercises in this book, you will learn how to tell if you’re using the right word as well as how to pronounce and spell it. You will also learn how to avoid illiterate expressions and how to speak grammatically, without making embarrassing mistakes.A complete handbook for building a superior vocabulary, Word Power Made Easy will teach you how to speak and write with confidence as well as how to read more effectively and efficiently. It will help you to learn more quickly, develop social contacts, and increase your earning power.Each chapter ends with review. Each section ends with a progressive check. Numerous tests will help you increase and retain the knowledge you acquired. Word Power Made Easy does more than just add words to your vocabulary; it teaches ideas and a method of broadening knowledge as an integral part of the vocabulary building process.
Fluent Forever: How to Learn Any Language Fast and Never Forget It
Gabriel Wyner - 2014
At thirty years old, Gabriel Wyner speaks six languages fluently. He didn’t learn them in school -- who does? -- rather, he learned them in the past few years, working on his own and practicing on the subway, using simple techniques and free online resources. In Fluent Forever Wyner reveals what he’s discovered. The greatest challenge to learning a foreign language is the challenge of memory; there are just too many words and too many rules. For every new word we learn, we seem to forget two old ones, and as a result, fluency can seem out of reach. Fluent Forever tackles this challenge head-on. With empathy for the language-challenged and abundant humor, Wyner deconstructs the learning process, revealing how to build a foreign language in your mind from the ground up. Starting with pronunciation, you’ll learn how to rewire your ears and turn foreign sounds into familiar sounds. You'll retrain your tongue to produce those sounds accurately, using tricks from opera singers and actors. Next, you'll begin to tackle words, and connect sounds and spellings to imagery, rather than translations, which will enable you to think in a foreign language. And with the help of sophisticated spaced-repetition techniques, you'll be able to memorize hundreds of words a month in minutes every day. Soon, you'll gain the ability to learn grammar and more difficult abstract words--without the tedious drills and exercises of language classes and grammar books. This is brain hacking at its most exciting, taking what we know about neuroscience and linguistics and using it to create the most efficient and enjoyable way to learn a foreign language in the spare minutes of your day.
The Joy of x: A Guided Tour of Math, from One to Infinity
Steven H. Strogatz - 2012
do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.
What the Dog Saw and Other Adventures
Malcolm Gladwell - 2009
Now, in What the Dog Saw, he brings together, for the first time, the best of his writing from The New Yorker over the same period. Here you'll find the bittersweet tale of the inventor of the birth control pill, and the dazzling creations of pasta sauce pioneer Howard Moscowitz. Gladwell sits with Ron Popeil, the king of the American kitchen, as he sells rotisserie ovens, and divines the secrets of Cesar Millan, the "dog whisperer" who can calm savage animals with the touch of his hand. He explores intelligence tests and ethnic profiling and why it was that employers in Silicon Valley once tripped over themselves to hire the same college graduate.