According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.

Like Stephen Krashen's important work in The Power of Reading, Story Proof collects and analyzes the research that validates the importance of story, story reading, and storytelling to the brain development and education of children and adults. Accomplished researcher and storyteller Kendall Haven, establishes the need for understanding the research findings in neural psychology and brain development and the value of a common definition of story if one is to fully grasp the importance and necessity of story to the development of the human mind. To support his case, he reviews a wealth of research from storytellers, teachers, and others who have experienced the power of story firsthand. The author has collected anecdotal experiences from over 100 performing storytellers and from 1,800 story practitioners (mostly teachers) who have made extensive use of stories. He has read more than 150 qualitative and quantitative research studies that discuss the effectiveness of stories and/or storytelling for one or more specific applications (education, organizational management, knowledge management, medical and narrative therapy, etc.). Forty of these studies were literature reviews and comparative studies including analysis of over 1,000 studies and descriptive articles. He has also gathered research evidence from his own story performances for total audiences of over 4 million and from conducting story writing workshops with 200,000 students and 40,000 teachers.

Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.

In this tour of the history of arguments for and against the existence of God, Nathan Schneider embarks on a remarkable intellectual, historical, and theological journey through the centuries of believers and unbelieversÑfrom ancient Greeks, to medieval Arabs, to todayÕs most eminent philosophers and the New Atheists. Framed by an account of SchneiderÕs own unique journey, God in Proof illuminates the great minds who wrestled with one of historyÕs biggest questions together with their arguments, bringing them to life in their time, and our own. SchneiderÕs sure-handed portrayal of the characters and ideas involved in the search for proof challenges how we normally think about doubt and faith while showing that, in their quest for certainty and the proofs to declare it, thinkers on either side of the God divide are often closer to one another than they would like to think.