Chances Are: The Only Statistic Book You'll Ever Need

Steve Slavin

Madison Books | 1998 | 220 páginas | rar - pdf | 5,3 Mb

link (password: matav)

Chances Are is the first book to make statistics accessible to everyone, regardless of how much math you remember from school.

Contents
Acknowledgments
How to Use this Book
Chapter 1. Presentation of Statistical Data
Simple Tables, Line Graphs, Bar Graphs, Histograms, Pie Charts, Complex Graphs
Chapter 2. Basic Arithmetic Operations
Converting Proper Fractions into Decimals, Rounding, Multiplying Decimals, Interpolation, Extrapolation, Fast Multiplication and Division, Fast Multiplication, Fast Division, Manipulating Negative Numbers
Chapter 3. The Mean, Median, Mode, and Range
The Mean, Simple Mean, Weighted Average, The Median, The Mode, The Range, Finding the Mean, Median, Mode, and Range
Chapter 4. Frequency Distribution 49
Frequency Distributions, Graphing Frequency Distributions, Line Graphs, Bar Graphs, Histograms, Cumulative Frequency
Chapter 5. Percents 65
Changing Decimals into Percents , Changing Fractions into Percents, Changing Percents into Decimals , Finding Percentage Changes , Percentage Distribution , Finding Percentage Distributions , Pie Charts
Chapter 6. Percentiles 85
Using a Cumulative Percentage Graph , Deciles and Quartiles , Finding Scores, Percentiles, Deciles, and Quartiles on the Cumulative Percentage Graph , Obtaining Percentile Ranks from Frequency Distribution Tables , Finding the Cumulative Frequency and Setting True Limits
Chapter 7. Standard Deviation 103
Calculating Standard Deviation with Ungrovped Scores , Calculating Standard Deviation with Grouped Scores
Chapter 8. The Normal Curve 121
The Standard Nonnal Distribution , Finding the Percentile Rank , Z-Scores , Finding Percent of Cases Falling between Two Scores 135
Chapter 9. Probability
Sampling with Replacement, The Addition Rule, The Multiplication Rule, Sampling without Replacement, Double Counting, Probability and the Normal Curve, One- and Two-Tailed Probability Values
Chapter 10. Correlation
Positive, Negative, and Perfect Correlations, Calculating the Coefficient of Correlation
Chapter 11. Prediction and Regression
Predicting Individual Scores, Freehand Regression Line Fitting, Constructing Regression Lines by Predicting Y-Scores, Using Regression Lines

Basic Math and Pre-Algebra For Dummies

Mark Zegarelli 

For Dummies | 2014 -2ª edição| 387 páginas | rar - pdf | 5 Mb

link (password : matav)

1ª edição - 2007/2012

A fun and accessible guide to the fundamentals of math

Somewhere along the line, you fell out of love with numbers. Simple math became difficult, and difficult math became impossible. But fear not, future math whiz—you are holding the solution in your hands! Conquer your math anxiety forever with the easy-to-follow instructions and practical exercises of Basic Math & Pre-Algebra For Dummies.

Open the book and find:

• Understand fractions, decimals, and percentages

• Unravel algebra word problems

• Work with graphs and measures

• Grasp prime numbers, factors, and multiples

• Master the Basics — understand the Big Four operations of addition, subtraction, multiplication, and division

• Strength in Numbers — explore counting numbers, integers, rational numbers, and real numbers and learn how to work with each set

• Geometry Simplified — gain a working knowledge of graphs and measurements from every angle

• Parts of the Whole — learn to work confidently with fractions, decimals, and percentages, using real-world examples

• Math Your Way — pick the approach — traditional, easy, or quick trick — that works for you

• Avoid Common Mistakes — learn how to identify and avoid ten annoying math demons

• Unmask Mr. X — tackle basic math and pre-algebra word problems, using single- and multiple-variable equations to find your answers

• The basics of math—addition, subtraction, multiplication, division

• Arithmetic expressions, whole numbers, factors, and multiples

• Fractions, decimals, and percentages

• Graphs, measures, stats, and sets

• Scientific notation and basic geometry

• An introduction to algebra and algebra word problems

• Ten math demons and how to avoid them

• Ten important number sets you should know

Contents at a Glance
Introduction.... 1
Part I: Getting Started with Basic Math and Pre-Algebra.... 5
Chapter 1: Playing the Numbers Game.....7
Chapter 2: It’s All in the Fingers: Numbers and Digits....25
Chapter 3: The Big Four: Addition, Subtraction, Multiplication, and Division....31
Part II: Getting a Handle on Whole Numbers.... 49
Chapter 4: Putting the Big Four Operations to Work.....51
Chapter 5: A Question of Values: Evaluating Arithmetic Expressions....67
Chapter 6: Say What? Turning Words into Numbers........79
Chapter 7: Divisibility.......91
Chapter 8: Fabulous Factors and Marvelous Multiples....99
Part III: Parts of the Whole: Fractions, Decimals, and Percents...... 113
Chapter 9: Fooling with Fractions.....115
Chapter 10: Parting Ways: Fractions and the Big Four Operations......131
Chapter 11: Dallying with Decimals......157
Chapter 12: Playing with Percents.....181
Chapter 13: Word Problems with Fractions, Decimals, and Percents......193
Part IV: Picturing and Measuring — Graphs, Measures, Stats, and Sets..... 205
Chapter 14: A Perfect Ten: Condensing Numbers with Scientific Notation....207
Chapter 15: How Much Have You Got? Weights and Measures.....215
Chapter 16: Picture This: Basic Geometry......227
Chapter 17: Seeing Is Believing: Graphing as a Visual Tool.......249
Chapter 18: Solving Geometry and Measurement Word Problems....257
Chapter 19: Figuring Your Chances: Statistics and Probability......269
Chapter 20: Setting Things Up with Basic Set Theory.....281

Practical mathematics in a commercial metropolis: Mathematical life in late 16th century Antwerp

Ad Meskens

Springer | 2013 | 275 páginas | pdf | 13 Mb

link

Describes the development and the ultimate demise of the practice of mathematics in sixteenth century Antwerp. Against the background of the violent history of the Religious Wars the story of the practice of mathematics in Antwerp is told through the lives of two protagonists Michiel Coignet and Peeter Heyns. The book touches on all aspects of practical mathematics from teaching and instrument making to the practice of building fortifications of the practice of navigation.​

Contents
1 Preface.
2 Introduction.
3 The Family Coignet
4 Peeter Heyns and the Nymphs of the Laurel Tree.
5 The Arithmetic Teacher and his School
6 The Antwerp arithmetic books
7 Winegauging.
8 Instrumentmakers.
9 The Art of Navigation.
10 Mapping the World.
11 Looking towards the Stars
12 Ballistics and fortifications
13 Conclusion.

Out of the Labyrinth: Setting Mathematics Free

 Ellen Kaplan e Robert Kaplan

Bloomsbury Press |  2014 | 256 páginas | rar - epub | 18,3 Mb

link (password : matav)

edição de 2006

Who hasn’t feared the math Minotaur in its labyrinth of abstractions? The subject can seem convoluted and forbidding. Yet to do mathematics is to wrestle with “accessible mysteries”—and Out of the Labyrinth shows how exhilarating the challenge can be. Robert and Ellen Kaplan are founders of the Math Circle, a pioneering learning program begun at Harvard in 1994 and now spreading around the world. In their classrooms students ages six to sixty have discovered mathematics as the highest form of intellectual play, while exploring topics that range from Roman numerals to quantum mechanics. 
The Kaplans reveal the secrets of their highly successful approach, leading readers out of the labyrinth and into the joyous embrace of mathematics. Stocked with puzzles, colorful anecdotes, and insights from the authors’ own teaching experience, Out of the Labyrinth is both an engaging and practical guide for parents and educators, and a treasure chest of mathematical discoveries. For any reader who has felt the excitement of mathematical discovery—or tried to convey it to someone else—this volume will be a delightful and valued companion.

Contents
Chapter One: A Glimpse Inside
Chapter Two: Cod Liver Oil
Chapter Three: The Myth of Talent
Chapter Four: Making Your Hats
1. Holding On
Stubbornness
Orneriness
A High Threshold of Frustration
The Jump-Cut Mind
Putting On Hold
2. Taking Apart
Method vs. Approach
Atomizing
Attention Without Tension
Precision
Rotating the Diamond
Breaking Apart
Pursuing the Possible
3. Putting Together
Play
Stubbornness Revisited
The Riddle of the Pygmy Shrew
Analogy
Holding Hypotheses Like Birds
Experimental Fervor
The Architectural Instinct
The Conductor
Chapter Five: The Great Barrier Reef
Language: Symbols
Language: Equations
Language: Third Person Remote
The Buddha, the Bodhisattva, and the Bo
Climbing a Tall Building
Alienation
Diamond Hard
Who Cares?
Chapter Six: How Math Has Been Taught
Behind the Phenomena
The Teaching Wars
Cookbooks, Song-Lines, and Games
Ancestral Voices Calling for Reform
Anticurriculum
The Curate’s Egg
Russian Math Circles
Chapter Seven: How Mathematicians Actually Work
hapter Eight: The Math Circle
Ends
Beginnings
The Students
The Leaders
The Math
Connecting
Intuition Grows
A Proof Takes Shape
Looking Leads to Seeing
Competition
Chapter Nine: Filling in the Details
Where’s the Kit?
Math Itself
Courses
Sample Outline of a Middle Course: Interesting Points in Triangles
Piecemeal Advice
Perilous Turnings and Pivotal Moments
From a Journal
What’s the Way Forward?
The Summer Institute
To Take with You
Acknowledgments
Footnotes
Appendix: Thoughts of a Young Teacher
A Note on Our Pronouns

The Chinese Roots of Linear Algebra

Roger Hart 

Johns Hopkins University Press | 2010 | 304 páginas | rar - mobi | 7,1 Mb

link (password: matav)

A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years.

Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts—the classic ancient Chinese mathematics text—and the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions.

Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.

Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5

Judith A. Muschla, Gary Robert Muschla e Erin Muschla-Berry

Jossey-Bass | 2014 | 301 páginas | rar - pdf |4,5 Mb

link (password : matav)

With the common core math curriculum being adopted by forty-three states, it is imperative that students learn to master those key math standards. Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 is the only book currently available that provides activities directly correlated to the new core curriculum for math. This text assists teachers with instructing the material and allows students to practice the concepts through use of the grade-appropriate activities included.

Students learn in different ways, and Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 acknowledges that fact through the inclusion of suggestions for variations and extensions of each concept to be used for students with different abilities and learning styles. The activities and lessons are as diverse as the students in your classroom. Inside Teaching with Common Core Math Standards With Hands-On Activities Grades 3-5, you will find:

• Clear instructions to help you cover the skills and concepts for the new math core curriculum

• Engaging activities that enforce each core math standard for your students

• Various suggestions for ways to instruct the concepts to reach the diverse learning styles of your students

• Complete coverage of mathematical calculations, mathematical reasoning, and problem-solving strategies appropriate for grades 3-5

Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 prepares students to achieve success in the important area of mathematics. As your students gain an understanding of the common core standards, they will build confidence in their ability to grasp and manipulate mathematical concepts as they move forward to the next level.

Outro livro da mesma série:

Teaching the common core math standards with hands-on activities, grades 6-8 por Judith A Muschla; Gary Robert Muschla; Erin Muschla-Berry Idioma: Inglês   Editora: San Francisco : Jossey-Bass, 2012.

The king of infinite space : Euclid and his Elements

David Berlinski 

Basic Books |  2013 | 187 páginas | pdf | 1,3  Mb

link
link1

epub - 5,9 Mb - link

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid’s Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid’s axiomatic system, a method of proof still taught in classrooms around the world. Euclid’s use of elemental logic—and the mathematical statements he and others built from it—have dramatically expanded the frontiers of human knowledge.
The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.

Contents
Preface xi
I Signs of Men 1
II An Abstraction from the Gabble 11
III Common Beliefs 19
IV Darker by Definition 33
V The Axioms 45
VI The Greater Euclid 57
VII Visible and Invisible Proof 77
VIII The Devil’s Offer 91
IX The Euclidean Joint Stock Company 117
X Euclid the Great 147
Teacher’s Note 155
A Note on Sources 157
Appendix: Euclid’s Definitions 159
Index 163


Outros livros do mesmos autor:

One, two, three : absolutely elementary mathematics por David Berlinski Idioma: Inglês   Editora: New York : Pantheon Books, ©2011.

Infinite ascent : a short history of mathematics por David Berlinski Idioma: Inglês   Editora: New York : Modern Library, 2005.