An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs.This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geo...

Mild-mannered English teacher Brian Smith has a big secret: he used to be a rock star. Kind of.In the summer of 2000, his one-hit-wonder punk band released a radio-friendly pop song and made it big. Then, just as quickly, it all fell apart. Though he's been living a quiet white-collar life for the last two decades, settled in his static suburban normalcy of treadmills and lesson plans and parenthood, a chance discovery leads to a collision between his old world and...

How to write mathematical proofs, shown in fully-worked out examples.This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks,...

A Human Catechism is a theopoetic journey. It is the integration of personal experience, theological reflection, and contextual analysis. This book proposes a radical way of discipleship in which we are invited to run the risk of positively imitating one another through the imitation of Christ. If violence happens through the imitation of one another, maybe good things do too. As the reader embarks on a contextually self-reflective journey, this book invites us to take the chance of believ...

Joel David: Joel David is an Associate Professor of Cultural Studies at Inha University, Korea. He holds a Ph.D. in Cinema Studies at New York University. The author of several books on Philippine cinema, he had won the Manila Critics Circle’s National Book Award for Film Criticism, among other prizes. He was founding Director of the University of the Philippines Film Institute.

An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice.In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and int...

A rich, thorough exploration of infinity that combines mathematical precision with playful, accessible coverage of a fascinating variety of paradoxes and conundrums.In this rich, thorough account of all things infinite, Joel David Hamkins combines playful thought experiments with mathematically precise exposition to explore the vast, fascinating spectrum of paradoxes and conundrums of infinity. Written with equal parts wonder and rigor, the book moves from classica...

Are you disappointed with your life? Maybe the narrative you've been collecting lately hasn't been the kind you would have chosen for yourself. You're stuck in traffic every day for a job you're not crazy about. You refresh your inbox repeatedly for that acceptance letter, but it never comes. You've been on a dozen mediocre first dates. You've been trying to have kids for years. The pain in your back is getting worse. You continue to pray for relief. You don't feel relief. You want to see ...

A unified nation with a single people, the Philippines is also a highly fragmented, plural society. Divided between uplander and lowlander, rich and poor, Christian and Muslim, between those of one ethnic, linguistic, and geographic region and those of another, the nation is a complex mosaic formed by conflicting forces of consensus and national identity and of division and instability.It is not possible to comprehend the many changes in the Philippines?such as the rise and fall of Ferdina...

Utilizing the actual lyric that Mr. Nirenstein wrote for his own music of the same title, "When You Make Out Your List For Christmas" is an exquisite example of this author's precise, yet eloquent, literary style. As a children's picture book, the lyric and photographs work together effectively--and poetically--to capture the true meaning of Christmas. Published in conjunction with this children's literary gem is the author/composer/lyricist David Joel Nirenstein's original sheet music to ...

A short time before this work went to press, I was listening to some of my favorite worship music and going over various parts of the completed work. In His still small voice, He told me, David, this is not your book. I quickly replied, Lord, this has never been mine. You wrote this through me. It belongs to You. He then said, David, this is not your book. It is your testimony. I wept so hard and passionately that I now hope everyone who reads this would have the same opportunity to hear o...

Chitosan Based Biomaterials: Fundamentals, Volume 1, provides the latest information on chitosan, a natural polymer derived from the marine material chitin. Chitosan displays unique properties, most notably biocompatibility and biodegradability. It can also be easily tuned to modify its structure or properties, making chitosan an excellent candidate as a biomaterial. Consequently, chitosan is being developed for many biomedical functions, ranging from tissue engineering and implant coating...