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This book is an introduction to the standard methods of proving mathematical theorems. It has been approved by the American Institute of Mathematics' Open Textbook Initiative. Also see the Mathematical Association of America Math DL review (of the 1st edition), and the Amazon reviews. The second edition is identical to the first edition, except some mistakes have been corrected, new exercises have been added, and Chapter 13 has been extended. (The Cantor-Bernstein-Schröeder theorem has been added.) The two editions can be used interchangeably, except for the last few pages of Chapter 13. Order a copy from Amazon or Barnes & Noble for $13.75 or download a pdf for free here. Part I: Fundamentals Part II: How to Prove Conditional Statements Part III: More on Proof Part IV: Relations, Functions and Cardinality Thanks to readers around the world who wrote to report mistakes and typos! Instructors: Click here for my page for VCU's MATH 300, a course based on this book.
Anka Zhuravleva | Designcollector™
Moscow raised and StPete based awesome artist and photographer Anka Zhuravleva invites you to be mesmerized by her latest photo-artwork series “Distorted Gravity”. Anka-Zhuravleva.com
Sougwen Chung artworks & Design You Trust - Design and Beyond!
Sougwen is a Brooklyn-based artist / art director. She has produced work for a range of commercial and music-related clients including Nike, Diesel, Amex, Ikea, Shiseido, Ghostly, Hotflush, Shigeto, and Tom Waits. She has enjoyed collaborations with Joshua Davis, Joey Roth, and Sepalcure. More artworks here
Picture Gallery 97
Funny Videos, Free Games, & Funny Pictures Sign up | Login Picture Gallery 97 [+] 35 of the best pictures submitted throughout the week! [–] 35 of the best pictures submitted throughout the week! Tags: Gallery, Picture halloween costume win dented car awkward engagement epic storm threat win epic intersection well trained puppy product fail awkward headline rahhh!! mobile bar cat photobombs cat hands free awkward wasp nest futuristic car is futuristic practicing ...? delivering milk epic billboard bubble bed prize fail cleavage fail parking lot surprise epic treehouse comeback win big bike little guy parenting fail headshot at first i was like O_O but then i was like -_- 'huge' tree your mom is a liar impending fail ut oh ur anus is asking what? epic spider Daily Gallery: Tues Sept 18, 20... Picture Gallery 100 Daily Gallery: Fri Nov 16, 2012 Daily Gallery: Tues Jan 29, 201... Daily Gallery: Wed Oct 17, 2012 Picture Gallery 99 Daily Gallery: Wed Nov 14, 2012 Daily Gallery: Mon Nov 19, 2012 Daily Gallery: Mon April 2, 201... | Reply
Weierstrass functions
Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere". Here is an example of one: It is not hard to show that this series converges for all x. Here's a graph of the function. You can see it's pretty bumpy. Below is an animation, zooming into the graph at x=1. Wikipedia and MathWorld both have informative entries on Weierstrass functions. back to Dr.
Global Warming Uncovers Corpses Frozen in Time
Photo via Last Days of the Incas Five hundred years ago, three Inca children were left to freeze high in the cold Argentinian Andes as a religious sacrifice. In time, their bodies mummified, having been swallowed in snow and entombed within the glacier, lost to time. But centuries later, in a warmer world, their perfectly-preserved corpses were discovered beneath the melting snow -- an increasingly common sight. When the three Inca children were discovered thanks to melting in the Andes, their well-preserved, mummified remains helped advance archeological knowledge of their rather mysterious civilization. For example, the frozen body of 24-year-old pilot, Benjamin Rafael Pabón, was discovered by hikers in Peru -- over 20 years after his plane crashed in the Andes. "It took me a very long time to acknowledge he might be dead," said the pilot's mother. Photo: Noah Friedman-Rudovsky for The New York Times
The Infinity Room
With this immersive installation, French artist Serge Salat invites visitors to take a journey through endless layers of space, decked out with cubic shapes, panels of mirrors, shifting lights and music. “Beyond Infinity” is a multi-sensory, multimedia experience that blends Eastern Chinese with Western Renaissance. Inspired by the Suzhou Gardens, a masterpiece of Chinese landscape, the three-lined trigram of I Ching is the main pattern that organizes the space of the work. Salat uses mirrors as optical illusions, exploding a single room into spatial infinity. via [Architizer] Views: 422998 Tags: Serge Salat, The Infinity Room, architecture, design
Yarn Bombing / Guerrilla Crochet - A Collection | STREET ART UTOPIA
More info. More info. More info. More Yarn Bombing and Guerrilla Crochet: 1) B-Arbeiten 2) Agata Olek 3) Yarnbombing 4) Stickkontakt Leave a reply Related posts 12 beloved Street Art Photos - May 2013 Urban Art Biennial (BAU) - In Cochabamba, Bolivia By Alice for Urban Contest 2012 - In Rome, Italy
Mark Jenkins // Street Installations
Kristiansand, Norway London, England Montreal, Canada Cologne, Germany Besançon Rome Rio de Janeiro Tudela London Dublin Moscow Winston-Salem Seoul Royan Bordeaux Puerto del Rosario Barcelona Malmö Washington DC Washington, DC
Game Theory 101: Game Theory Made Easy
Crystal River - The most beautiful river on earth [Pics] - StumbleUpon
Cano Cristales - Crystal River. River of five colors, as the locals call it, originates in the south of the mountain chain Macarena, Colombia, and flows eastward to its confluence with the Guayabero river. In the Cano Cristales found five colors: yellow, blue, green, black and red. All of them are waste product of many algae and, depending on time of year, color saturation, or weakened or strengthened. Share on Tumblr
Lesson Plan for Making a Speaker Laboratory - StumbleUpon
©1995 The Regents of the University of California by Regan Lum Introduction: A speaker is a device that converts an electronic signal into sound. The speaker you will build (see figure 1) consists of a Styrofoam or paper cup, a coil of wire, a permanent magnet, and a signal source. figure 1 Purpose: In this laboratory, you will explore how a speaker works. Materials: 1 permanent magnet 2 feet of wire 1 pencil tape or glue 1 Styrofoam or paper cup 1 signal source (tape player) 1 plug with alligator clips for tape player Procedure: Assemble material as shown in figure 1. Leaving about 10 centimeters on the end, wrap the wire around a pencil to make a wire coil and tape or glue it to the bottom of the cup. Conclusion Does the volume control on the tape player work on your speaker? Return to CEA Science Education Home Page
Mt Roraima, Brasil, Guyana and Venezuela (pic) - StumbleUpon
