This outline of statistics as an aid in decision making will introduce a reader with limited mathematical background to the most important modern statistical methods. This is a revised and enlarged version, with major extensions and additions, of my "Angewandte Statistik" (5th ed.), which has proved useful for research workers and for consulting statisticians. Applied statistics is at the same time a collection of applicable statistical methods and the application of these methods to measured and/or counted observations. Abstract mathematical concepts and derivations are avoided. Special emphasis is placed on the basic principles of statistical formulation, and on the explanation of the conditions under which a certain formula or a certain test is valid. Preference is given to consideration of the analysis of small sized samples and of distribution-free methods. As a text and reference this book is written for non-mathematicians, in particular for technicians, engineers, executives, students, physicians as well as researchers in other disciplines. It gives any mathematician interested in the practical uses of statistics a general account of the subject. Practical application is the main theme; thus an essential part of the book consists in the 440 fully worked-out numerical examples, some of which are very simple; the 57 exercises with solutions; a number of different compu tational aids; and an extensive bibliography and a very detailed index. In particular, a collection of 232 mathematical and mathematical-statistical tables serves to enable and to simplify the computations."
The perfect solution to pre-algebraic questions. Aimed at high school and college students who need a little extra help, this indispensable guide follows a standard pre-algebra curriculum and offers a thorough overview of the basics. Covers such basic concepts as decimals and fractions, square root calculations, three-dimensional shapes, rules of exponents, distance measurements, angle types and more. Written in an easy-to-comprehend style to make math concepts accessible
The first scientific entry in the acclaimed Art of Mentoring series from Basic Books, Letters to a Young Mathematician tells readers what Ian Stewart wishes he had known when he was a student and young faculty member. Subjects ranging from the philosophical to the practical--what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others--are dealt with in Stewart's much-admired style, which combines subtle, easygoing humor with a talent for cutting to the heart of the matter. In the tradition of G.H. Hardy's classic A Mathematician's Apology, this book is sure to be a perennial favorite with students at all levels, as well as with other readers who are curious about the frequently incomprehensible world of mathematics.
The Nature of Genius
Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars.
Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective. William D. Phillips, who won the Nobel Prize in physics in 1997, writes of the author, "Atalay is indeed a modern renaissance man, and he invites us to tap the power of synthesis that is Leonardo's model."
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
This Schaum's Outline gives you
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Devlin is a mathematician affiliated with St. Mary's College of California, and Stanford U. Center for the Study of Language and Information; he writes extensively and engagingly about mathematics for non-mathematicians. In this work first published in 1988, he charts significant mathematical research beginning in 1960; this revised edition includes developments of the 1980s and 1990s. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Writing specifically for the statistically scared, Jeff Weaver exposes the mathematics behind statistical analysis and shows how an understanding of probability, standard deviation, margins of error, and test groups can help in the reader's understanding of everything from the lottery to national polls to scientific data. With vivid and humorous examples, Conquering Statistics opens the world of statistics to the average reader as well as the student and offers an invaluable look at the science behind the statistics.
In this retitled and revised edition of The Problems of Mathematics, renowned mathematician Ian Stewart gives math buffs and non-technical readers--as well as students of the subject--the perfect guide to today's mathematics. This challenging and fascinating book includes three new chapters that cover the most recent developments in the mathematics field, including one on Kepler's sphere-packing problem, to which a solution has been at last announced after a wait of 380 years.
Stewart, a particularly gifted mathematician and writer, shows us not only that math can be explained in everyday language, but that it can be downright fun as well. Puzzle solvers especially will delight in accounts of puzzles like Fermat's famous theorem, manifolds (a kind of mathematical origami in many dimensions), and the patterns in chaos. And what reader wouldn't want probability theory explained by demonstrating how to maximize one's lottery winnings?
According to From Here to Infinity, good mathematics has an air of economy and an element of surprise. One could easily make the same claim for this instructive, amusing, and sometimes mind-boggling book.
If there's one question that many parents would rather not hear when Sophia or Aiden gets home from school, it's, "Mom, can you help me with my algebra homework?"
And nowadays that question gets asked by younger and younger children because algebraic thinking has been inserted into the math curriculum as early as 5th grade, sometimes even in 4th grade
So what helps parents recall algebra and also helps students learn it in a friendly way? The Algebra Survival Guide, now updated in its Second Edition.
Following on the success of the award-winning First Edition book and written by teacher/tutor Josh Rappaport, the Second Edition Guide offers time-tested advice for understanding the key areas of this gateway math subject.
The new Algebra Survival Guide features a unique Q&A format so students hear their own questions echoed in the text. The book's answers, written in the voice of a friendly tutor, provide conversational responses, along with step-by-step instructions in English right next to the math steps.
Each page is a one-page mini-lesson so students can focus without feeling overwhelmed. Following each lesson is a short set of practice problems, offering students instant feedback. At the end of each section, chapter tests provide comprehensive checks on understanding.
Since word problems are often the highest "hurdle" of algebra, the Second Edition contains a new 62-page chapter on advanced word problems. This chapter provides detailed strategies for setting up and solving word problems on such dastardly areas as rate, time and distance, work performed, mixture formulas, and even those crazy problems about Joe being three years older than four times Jane's age 10 years in the future.
In its twelve content chapters the 352-page Second Edition covers all key areas of PreAlgebra and Algebra 1: Algebraic Properties, Sets of Numbers, Positive and Negative Numbers, Order of Operations, Absolute Value, Exponents, Radicals, Factoring, Cancelling, Solving Equations, the Coordinate Plane, and Word Problems.
As a major bonus, the Guide buzzes with lively illustrations by award-winning artist Sally Blakemore. Ms. Blakemore's cartoons not only provide comic relief, they also offer a visual way to grasp algebra's challenging abstractions. (Example: to illustrate the Reflexive Property of x = x, a cartoon shows a sad 'x' gazing at itself in the mirror while suffering a 'bad hair day.') With all of these features, the Second Edition Algebra Survival Guide appeals equally to homeschoolers, students, parents, teachers, tutors and adult students striving to recall the math they learned a decade or so ago.
The Second Edition aligns with the Common Core State Standards for Math, so it's up-to-date for today's teachers.
Loaded with thorough explanations, practice problems and answers, the new Algebra Survival Guide gives anyone and everyone the needed boost for learning or teaching the timeless and critical subject of algebra.
In a masterful blend of biography and science writing, Nasar traces John Forbes Nash, Jr.'s rise to the heights of intellectual achievement and his harrowing descent from eccentricity to insanity. Released as a major motion picture directed by Ron Howard and starring Russell Crowe and Ed Harris.