This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemer di. More importantly, the presentation strives to reflect the extent to which the field has been streamlined since breaking onto the scene around twenty years ago. Potential readers who were previously intrigued by the subject matter but found it daunting may want to give a second look.

This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorems, and material on entropy, martingales, Bernoulli processes, and various varieties of mixing. Original proofs of classic theorems - including the Shannon-McMillan-Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are presented by degrees, together with helpful hints that encourage the reader to develop the proofs on their own. Hundreds of exercises and open problems are also included, making this an ideal text for graduate courses. Professionals needing a quick review, or seeking a different perspective on the subject, will also value this book.

This book helps readers master essay writing for the ACT - fast! If ACT savvy is what you seek, this book is the resource you need. Learn the secrets, shortcuts, and strategies to succeed - with only minutes of effort a day. Lively and straight to the point, this study aid to the ACT Essay section, new for 2005, presents key principles and practical strategies that promote effective essay writing, practical test strategies that are lifesavers when you're under time restraints, and sample essays with insightful commentary on how to construct a high-scoring piece. It features essential strategies for effective essay writing. It provides sample essays with annotated comments and examiner marks. It contains bite-sized sections ideal for students who study in short doses.

Be the reason your students succeed. .

Do you remember that teacher who literally changed your life? Most likely, it wasn't the teacher who stood in front of the class and lectured every day, filling your little head with information. In fact, you probably can't even remember specifically "what" you learned in the class, only that you had some sort of awakening. As coauthor Tommie Lindsay points out, a great teacher doesn't merely provide knowledge but rather "takes away the barriers to learning.," .

"It Doesn't Take a Genius" will help you become that teacher. Written by two nationally acclaimed educators, this inspirational collection of real-life lessons takes you past the long hours, low pay, and school politics that come to dominate the job and provides a refreshing reminder of why you entered the profession in the first place: to change lives for the better. "It Doesn't Take a Genius" will also help parents identify and break through that seemingly invisible barrier preventing their kids from reaching their highest potential.. .

Tommie Lindsey and Randall McCutcheon have divided their book into five sections, each focusing on a single "truth" they believe will motivate students and forge them into individuals who want to be engaged in their education and the outside world.. .

These five "truths" will aid you in being the model all kids need and deserve--regardless of their background. The authors' ideas, presented in short, easy-to-digest articles, are complemented with first-hand success stories written by former students who defied the odds, including inner-city kids with at-risk backgrounds.. .

Every student has a purpose in this world, and it's one of life'sgreat gifts to help him or her find it. Practical and insightful, "It Doesn't Take a Genius" arms you with realistic strategies to create students who will go out into the world not only smarter but--more important--motivated, confident, and curious.. .

Learn how to become the teacher you always wanted to be and to help your students realize their potential. .

Each and every student is fertile ground for learning, even those who seem bored, distracted, or even bitter. All they need is care and attention. Whether you are a struggling teacher or frustrated parent, "It Doesn't Take a Genius" helps you foster success in even the most apathetic of students.. .

The authors, who hold numerous teaching awards, share their secrets of turning kids from all walks of life into successful students who go on to lead fulfilling, productive lives in adulthood. "It Doesn't Take a Genius" is organized into five universal "truths" behind making great possibilities come true. Accompanying the authors' inspiring ideas are first-hand accounts from their former students describing how they turned their lives around to become successful lawyers, playwrights, professors, and more.. .

Written with affection and sincerity--and featuring cartoons by acclaimed cartoonist Sidney Harris--"It Doesn't Take a Genius" is a refreshing response to detached behavioral theory, dry teaching manuals, and negative media stories concerning teachers and our education system. It provides the tools you need to help students unlock their enormous potential. Best of all, you'll come away with the very real but often forgotten fact that the desire to build students into curious, caring members of society isn't a pipedream. It's a calling.. .

Accessible, concise guides for quicker, more effective studying

These new additions to the Increase Your Score series present key principles and practical strategies for the ACT Writing Test (new for 2005) and the ACT Reading Test, explained in manageable, bite-size sections ideal for the panicked student. Combining humor with academic authority, these succinct guides: Feature essential strategies for effective essay writing or tackling reading comprehension passages under the pressure of time Provide sample essays or reading passages and questions, accompanied by helpful annotated comments and examiner marks Are ideal for students who procrastinate or who can study only in short doses Include cartoons (Zits, Peanuts, Calvin & Hobbes) to reinforce the light, student-friendly tone