quarta-feira, 26 de março de 2014

Celestial Sleuth: Using Astronomy to Solve Mysteries in Art, History and Literature

Donald W. Olson

Springer | 2014 | 368 páginas | rar - pdf | 18,2 Mb

link (password: matav)

For a general audience interested in solving mysteries in art, history, and literature using the methods of science, 'forensic astronomy' is a thrilling new field of exploration. Astronomical calculations are the basis of the studies, which have the advantage of bringing to readers both evocative images and a better understanding of the skies. 
Weather facts, volcano studies, topography, tides, historical letters and diaries, famous paintings, military records, and the friendly assistance of experts in related fields add variety, depth, and interest to the work. The chosen topics are selected for their wide public recognition and intrigue, involving artists such as Vincent van Gogh, Claude Monet, Edvard Munch, and Ansel Adams; historical events such as the Battle of Marathon, the death of Julius Caesar, the American Revolution, and World War II; and literary authors such as Chaucer, Shakespeare, Joyce, and Mary Shelley. This book sets out to answer these mysteries indicated with the means and expertise of astronomy, opening the door to a richer experience of human culture and its relationship with nature.
Each subject is carefully analyzed. As an example using the study of sky paintings by Vincent van Gogh, the analytical method would include:
- computer calculations of historical skies above France in the 19th century
- finding and quoting the clues found in translations of original letters by Van Gogh
- making site visits to France to determine the precise locations when Van Gogh set up his easel and what celestial objects are depicted.
For each historical event influenced by astronomy, there would be a different kind of mystery to be solved. As an example:
- How can the phase of the Moon and time of moonrise help to explain a turning point of the American Civil War - the fatal wounding of Stonewall Jackson at Chancellorsville in 1863?
For each literary reference to astronomy, it was determined which celestial objects were being described and making an argument that the author is describing an actual event. For example, what was the date of the moonlit scene when Mary Shelley first had the idea for her novel “Frankenstein?”
These and more fun riddles will enchant and delight the fan of art and astronomy.

Contents
Preface vii
Foreword ix
Acknowledgments xiii
Part I Astronomy in Art
1 Monet and Turner, Masters of Sea and Sky 3
2 Vincent van Gogh and Starry Skies Over France 35
3 Edvard Munch: Mysterious Skies in Norway 67
4 Yosemite Moonrises and Moonbows 113
Part II Astronomy in History
5 Moons and Tides in the Battle of Marathon,
Paul Revere’s Midnight Ride, and the Sinking of the Titanic 147
6 Lincoln, the Civil War Era, and American Almanacs 199
7 Th e Moon and Tides in World War II 237
Part III Astronomy in Literature
8 Literary Skies Before 1800 277
9 Literary Skies Aft er 1800 317
Index 351

Cool Structures: Creative Activities that Make Math & Science Fun for Kids

 Anders Hanson e Elissa Mann 

 (Cool Art With Math & Science)


Checkerboard Library | 2013 | 34 páginas | rar- pdf | 6,5 Mb


link (password: matav)

Contents
COOL STRUCTURES-BITS AND PIECES PUT TOGETHER
PYRAMIDS-ANCIENT GEOMETRY
PROJECT 1-BUILD A PYRAMID
BRIDGEs-GET OVER IT!
PROJECT 2-BUILD A BRIDGE
SLING IT-STRUCTURES IN ACTION!
PROJECT 3-BUILD A CATAPULT
TOWERS-BUILDING HIGH
PROJECT 4-SPAGHETTI TOWER CHALLENGE
MATH TERMS
GLOSSARY
WEB SITES
INDEX

Sink or Float? Thought Problems in Math & Physics


Keith Kendig

Mathematical Association of America | 2008 | 390 páginas | rar - pdf | 18,6 Mb

link (password: matav)

Sink or Float: Thought Problems in Math and Physics is a collection of problems drawn from mathematics and the real world. Its multiple-choice format forces the reader to become actively involved in deciding upon the answer. The book s aim is to show just how much can be learned by using everyday common sense. The problems are all concrete and understandable by nearly anyone, meaning that not only will students become caught up in some of the questions, but professional mathematicians, too, will easily get hooked. The more than 250 questions cover a wide swath of classical math and physics. Each problem s solution, with explanation, appears in the answer section at the end of the book.A notable feature is the generous sprinkling of boxes appearing throughout the text. These contain historical asides or little-known facts. The problems themselves can easily turn into serious debate-starters, and the book will find a natural home in the classroom

Contents
Preface vii
What Do You Think? A Sampler 1
Geometry 9
Numbers 33
Astronomy 45
Archimedes' Principle 67
Probability 85
Classical Mechanics 105
Electricity and Magnetism 123
Heat and Wave Phenomena 143
The Leaking Tank 179
Linear Algebra 197
What Do You Think? Answers 217
Geometry Answers 227
Numbers Answers 245
Astronomy Answers 253
Archimedes' Principle Answers 267
Probability Answers 273
Mechanics Answers 285
Electricity Answers 295
Heat and Wave Phenomena Answers 301
The Leaking Tank Answers 317
Linear Algebra Answers 323
Glossary 339
References 367
Problem Index 369
Subject Index 373
About the Author 375

Sophie's Diary a mathematical novel


Dora Musielak 

Mathematical Association of America | 2012 - 2ª edição | 292 páginas | rar - pdf | 1,82 Mb

link (password : matav)

Sophie Germain, the first and only woman in history to make a substantial contribution to the proof of Fermat's Last Theorem, grew up during the most turbulent years of the French Revolution. Her mathematical genius was discovered by Lagrange around 1797. Published research about Germain focuses on her achievements, noting that she assumed a man's name at the École Polytechnique in Paris, to submit her own work to Lagrange. Yet, no biography has explained how Germain learned mathematics before that time to become so sure of her analytical skills to carry out such a daring act. Sophie s Diary is an attempt to answer this question: How did Germain learn enough mathematics to enter the world of Lagrange s analysis in the first place?
In Sophie s Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with history of mathematics plus historically-accurate accounts of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own---both fascinated by numbers and eager to master tough subjects without a tutor s guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage.
Sophie s Diary is suitable for a variety of readers---both students and teachers, mathematicians and novices---who will be inspired and enlightened on a field of study made easy as is told through the intellectual and personal struggles of an exceptional young woman.

Contents
Paris, France: 1789
1 Awakening 1
Paris, France: 1790
2 Discovery 49
Paris, France: 1791
3 Introspection 95
Paris, France: 1792
4 Under Siege 133
Paris, France: 1793
5 Upon the Threshold 173
6 Intellectual Discovery 187
Paris, France: 1794
7 Knocking on Heaven’s Door 215
Appendices
Author’s Note 241
Sophie Germain Biographical Sketch 249
Marie-Sophie Germain Timeline 267
Bibliography 269
Acknowledgements 275
Index 276

Leveled Texts for Mathematics: Geometry

Lori Barker

Shell Education | 2011 | 147 páginas | rar - pdf | 4,25 Mb


link (password: matav)

Highlighting geometry, this resource provides the know-how to use leveled texts to differentiate instruction in mathematics. A total of 15 different topics are featured in and the high-interest text is written at four different reading levels with matching visuals. Practice problems are provided to reinforce what is taught in the passage.


Table of Contents

What Is Differentiation?...4
How to Differentiate Using This Product...5
General Information About Student Populations...6
Below-Grade-Level Students...6
English Language Learners...6
On-Grade-Level Students....7
Above-Grade-Level Students...7
Strategies for Using the Leveled Texts.....8
Below-Grade-Level Students...8
English Language Learners.... 11
Above-Grade-Level Students.... 14
How to Use This Product.... 16
Readability Chart.... 16
Components of the Product.... 16
Tips for Managing the Product.... 18
Correlations to Mathematics Standards... 19
Leveled Texts..... 21
Angles All Around.... 21
Understanding Triangles.... 29
To Cross or Not to Cross... 37
Quadrilaterals... 45
Classifying 2-D Shapes.... 53
Irregular Shapes... 61
Congruent and Similar Figures..... 69
Understanding 3-D Shapes.... 77
Understanding Prisms... 85
The Coordinate Plane.... 93
Circles... 101
Symmetry... 109
Reflections..... 117
Rotations... 125
Translations... 133
Appendices..... 141
References Cited... 141
Contents of Teacher Resource CD... 142

terça-feira, 25 de março de 2014

Selected lectures from the Seventh International Congress on Mathematical Education


ICME-7    1992      Québec (Canada) 

David E Robitaille, David H. Wheeler, Carolyn Kieran


Presses de l'Universite Laval | 1994 | 380 páginas | 
pdf (OCR) | 16,3 Mb

link

pdf (no OCR) | 35,1 Mb
online:  mathematik.uni-bielefeld.de

djvu (OCR) | 19 Mb
online: mathematik.uni-bielefeld.de

Contents
Preface p. IX 

Contribution de l'apprentissage de la géométrie à la formation scientifique - Gérard Audibert p. 1 
Diagnostic Teaching - Alan Bell p. 19 
Reading, Writing and Mathematics: Rethinking -Raffaella Borasi and Marjorie Siegel p. 35 
Teachers Using Videotapes as Reference Points -John L. Clark p. 49 
The Transition to Secondary School Mathematics -David Clarke p. 59 
Mathematicians and Mathematical Education -Michael P. Closs p. 77 
Les mathématiques comme reflet d'une culture -Jean Dhombres p. 89 
Imagery and Reasoning in Mathematics and Mathematics Education - Tommy Dreyfus p. 107
Interweaving Numbers, Shapes, Statistics, and the Real World in Primary School and Primary Teacher Education - Andrejs Dunkels p. 123 
Teaching Mathematics and Problem Solving to Deaf and Hard-of-Hearing Students - Harvey Goodstein p. 137 
The Origin and Evolution of Mathematical Theories- Miguel de Guzmàn p. 147 
Le calcul infinitésimal - Bernard R. Hodgson p. 157 
Computer-Based Microworlds: a Radical Vision or a Trojan Mouse? - Celia Hoyles p. 171 
Different Ways of Knowing: Contrasting Styles of Argument in India and the West - George Gheverghese Joseph p. 183 
Mathematics Education in the Global Village : the Wedge and the Filter - Murad Jurdak p. 199 
Bonuses of Understanding Mathematical Understanding - Thomas E. Kieren p. 211 
Curriculum Change: An American-Dutch Perspective - Jan de Lange p. 229 
Training Teachers or Educating Professionals? What are the Issues and How Are They Being Resolved? - Glenda Lappan and Sarah Theule-Lubienski p. 249 
What is Discrete Mathematics and How Should We Teach It? - Jacobus H. van Lint p. 263 
Intuition and Logic in Mathematics - Michael Otte p. 271 
Vers une construction réaliste des nombres rationnels - Nicolas Rouche p. 285
Mathematics is a Language - Fritz Schweiger p. 297 
Mathematical Thinking and Reasoning for All Students - Moving from Rhetoric to Reality - Edward A. Silver p. 311 
Humanistic and Utilitarian Aspects of Mathematics - Thomas Tymoczko p. 327 
From "Mathematics for Some" to "Mathematics for All" - Zalman Usiskin p. 341 
On the Appreciation of Theorems by Students and Teachers - Hans-Joachim Vollrath p. 353 
Geometry as an Element of Culture - Alexandr D. Alexandrov p. 365 

Algebra for College Students


Jerome E. Kaufmann e Karen L. Schwitters

Cengage Learning | 2010 - 9ª edição | 831 páginas | rar - pdf | 9,7 Mb

link (password: matav)

Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. The text's resource package--anchored by Enhanced WebAssign, an online homework management tool--saves instructors time while also providing additional help and skill-building practice for students outside of class.

CONTENTS
1 Basic Concepts and Properties 1
1.1 Sets, Real Numbers, and Numerical Expressions 2
1.2 Operations with Real Numbers 10
1.3 Properties of Real Numbers and the Use of Exponents 20
1.4 Algebraic Expressions 27
Chapter 1 Summary 36
Chapter 1 Review Problem Set 38
Chapter 1 Test 40
2 Equations, Inequalities, and Problem Solving 41
2.1 Solving First-Degree Equations 42
2.2 Equations Involving Fractional Forms 49
2.3 Equations Involving Decimals and Problem Solving 57
2.4 Formulas 64
2.5 Inequalities 74
2.6 More on Inequalities and Problem Solving 81
2.7 Equations and Inequalities Involving Absolute Value 90
Chapter 2 Summary 97
Chapter 2 Review Problem Set 101
Chapter 2 Test 104
Chapters 1– 2 Cumulative Review Problem Set 105
3 Polynomials 107
3.1 Polynomials: Sums and Differences 108
3.2 Products and Quotients of Monomials 114
3.3 Multiplying Polynomials 119
3.4 Factoring: Greatest Common Factor and Common Binomial Factor 127
3.5 Factoring: Difference of Two Squares and Sum or Difference of Two Cubes 135
3.6 Factoring Trinomials 141
3.7 Equations and Problem Solving 149
Chapter 3 Summary 155
Chapter 3 Review Problem Set 158
Chapter 3 Test 161
4 Rational Expressions 163
4.1 Simplifying Rational Expressions 164
4.2 Multiplying and Dividing Rational Expressions 169
4.3 Adding and Subtracting Rational Expressions 175
4.4 More on Rational Expressions and Complex Fractions 182
4.5 Dividing Polynomials 190
4.6 Fractional Equations 196
4.7 More Fractional Equations and Applications 202
Chapter 4 Summary 211
Chapter 4 Review Problem Set 216
Chapter 4 Test 218
Chapters 1– 4 Cumulative Review Problem Set 219
5 Exponents and Radicals 221
5.1 Using Integers as Exponents 222
5.2 Roots and Radicals 229
5.3 Combining Radicals and Simplifying Radicals That Contain Variables 238
5.4 Products and Quotients Involving Radicals 243
5.5 Equations Involving Radicals 249
5.6 Merging Exponents and Roots 254
5.7 Scientific Notation 259
Chapter 5 Summary 265
Chapter 5 Review Problem Set 269
Chapter 5 Test 271
6 Quadratic Equations and Inequalities 273
6.1 Complex Numbers 274
6.2 Quadratic Equations 281
6.3 Completing the Square 289
6.4 Quadratic Formula 293
6.5 More Quadratic Equations and Applications 300
6.6 Quadratic and Other Nonlinear Inequalities 308
Chapter 6 Summary 314
Chapter 6 Review Problem Set 318
Chapter 6 Test 320
Chapters 1– 6 Cumulative Review Problem Set 321
7 Linear Equations and Inequalities in Two Variables 323
7.1 Rectangular Coordinate System and Linear Equations 324
7.2 Linear Inequalities in Two Variables 337
7.3 Distance and Slope 342
7.4 Determining the Equation of a Line 353
7.5 Graphing Nonlinear Equations 363
Chapter 7 Summary 371
Chapter 7 Review Problem Set 376
Chapter 7 Test 379
8 Functions 381
8.1 Concept of a Function 382
8.2 Linear Functions and Applications 391
8.3 Quadratic Functions 398
8.4 More Quadratic Functions and Applications 407
8.5 Transformations of Some Basic Curves 416
8.6 Combining Functions 425
8.7 Direct and Inverse Variation 432
Chapter 8 Summary 440
Chapter 8 Review Problem Set 447
Chapter 8 Test 449
Chapters 1– 8 Cumulative Review Problem Set 450
9 Polynomial and Rational Functions 453
9.1 Synthetic Division 454
9.2 Remainder and Factor Theorems 458
9.3 Polynomial Equations 463
9.4 Graphing Polynomial Functions 473
9.5 Graphing Rational Functions 483
9.6 More on Graphing Rational Functions 492
Chapter 9 Summary 499
Chapter 9 Review Problem Set 503
Chapter 9 Test 504
10 Exponential and Logarithmic Functions 505
10.1 Exponents and Exponential Functions 506
10.2 Applications of Exponential Functions 513
10.3 Inverse Functions 524
10.4 Logarithms 534
10.5 Logarithmic Functions 542
10.6 Exponential Equations, Logarithmic Equations, and Problem Solving 549
Chapter 10 Summary 559
Chapter 10 Review Problem Set 565
Chapter 10 Test 567
Chapters 1– 10 Cumulative Review Problem Set 568
11 Systems of Equations 571
11.1 Systems of Two Linear Equations in Two Variables 572
11.2 Systems of Three Linear Equations in Three Variables 582
11.3 Matrix Approach to Solving Linear Systems 589
11.4 Determinants 598
11.5 Cramer’s Rule 607
11.6 Partial Fractions (Optional) 613
Chapter 11 Summary 619
Chapter 11 Review Problem Set 623
Chapter 11 Test 625
12 Algebra of Matrices 627
12.1 Algebra of 2 2 Matrices 628
12.2 Multiplicative Inverses 634
12.3 m n Matrices 640
12.4 Systems of Linear Inequalities: Linear Programming 649
Chapter 12 Summary 658
Chapter 12 Review Problem Set 662
Chapter 12 Test 664
Chapters 1 – 12 Cumulative Review Problem Set 665
13 Conic Sections 669
13.1 Circles 670
13.2 Parabolas 676
13.3 Ellipses 684
13.4 Hyperbolas 693
13.5 Systems Involving Nonlinear Equations 702
Chapter 13 Summary 709
Chapter 13 Review Problem Set 714
Chapter 13 Test 715
14 Sequences and Mathematical Induction 717
14.1 Arithmetic Sequences 718
14.2 Geometric Sequences 725
14.3 Another Look at Problem Solving 733
14.4 Mathematical Induction 738
Chapter 14 Summary 744
Chapter 14 Review Problem Set 746
Chapter 14 Test 748
Appendix A Prime Numbers and Operations with Fractions 749
Appendix B Binomial Theorem 757
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix A Problems 761
Index I-1