Tyrannosaurus rex may be the king of the dinosaurs, but that doesn’t stop know-it-all Velociraptor from telling him he looks old-fashioned and needs a makeover. So, with an improved posture, some restyled body parts and a coat of shaggy feathers, T. rex gets a new look to match the latest evidence. From the authors of The Plesiosaur’s Neck, The Tyrannosaur’s Feathers takes an amusing and informative look at how new discoveries have transformed our understanding of T. rex’s appearance since this giant prehistoric predator was first unearthed over a century ago.

Around 1637, the French jurist Pierre de Fermat scribbled in the margin of his copy of the book Arithmetica what came to be known as Fermat's Last Theorem, the most famous question in mathematical history. Stating that it is impossible to split a cube into two cubes, or a fourth power into two fourth powers, or any higher power into two like powers, but not leaving behind the marvelous proof he claimed to have had, Fermat prompted three and a half centuries of mathematical inquiry which culminated only recently with the proof of the theorem by Andrew Wiles.

This book offers the first serious treatment of Fermat's Last Theorem since Wiles's proof. It is based on a series of lectures given by the author to celebrate Wiles's achievement, with each chapter explaining a separate area of number theory as it pertains to Fermat's Last Theorem. Together, they provide a concise history of the theorem as well as a brief discussion of Wiles's proof and its implications. Requiring little more than one year of university mathematics and some interest in formulas, this overview provides many useful tips and cites numerous references for those who desire more mathematical detail.

The book's most distinctive feature is its easy-to-read, humorous style, complete with examples, anecdotes, and some of the lesser-known mathematics underlying the newly discovered proof. In the author's own words, the book deals with "serious mathematics without being too serious about it." Alf van der Poorten demystifies mathematical research, offers an intuitive approach to the subject—loosely suggesting various definitions and unexplained facts—and invites the reader to fill in the missing links in some of the mathematical claims.

Entertaining, controversial, even outrageous, this book not only tells us why, in all likelihood, Fermat did not have the proof for his last theorem, it also takes us through historical attempts to crack the theorem, the prizes that were offered along the way, and the consequent motivation for the development of other areas of mathematics. Notes on Fermat's Last Theorem is invaluable for students of mathematics, and of real interest to those in the physical sciences, engineering, and computer sciences—indeed for anyone who craves a glimpse at this fascinating piece of mathematical history.

An exciting introduction to modern number theory as reflected by the history of Fermat's Last Theorem

This book displays the unique talents of author Alf van der Poorten in mathematical exposition for mathematicians. Here, mathematics' most famous question and the ideas underlying its recent solution are presented in a way that appeals to the imagination and leads the reader through related areas of number theory. The first book to focus on Fermat's Last Theorem since Andrew Wiles presented his celebrated proof, Notes on Fermat's Last Theorem surveys 350 years of mathematical history in an amusing and intriguing collection of tidbits, anecdotes, footnotes, exercises, references, illustrations, and more.

Proving that mathematics can make for lively reading as well as intriguing thought, this thoroughly accessible treatment

Helps students and professionals develop a background in number theory and provides introductions to the various fields of theory that are touched upon

• Offers insight into the exciting world of mathematical research
• Covers a number of areas appropriate for classroom use
• Assumes only one year of university mathematics background even for the more advanced topics
• Explains why Fermat surely did not have the proof to his theorem
• Examines the efforts of mathematicians over the centuries to solve the problem
• Shows how the pursuit of the theorem contributed to the greater development of mathematics

Computers have stretched the limits of what is possible in mathematics. More: they have given rise to new fields of mathematical study; the analysis of new and traditional algorithms, the creation of new paradigms for implementing computational methods, the viewing of old techniques from a concrete algorithmic vantage point, to name but a few. Computational Algebra and Number Theory lies at the lively intersection of computer science and mathematics. It highlights the surprising width and depth of the field through examples drawn from current activity, ranging from category theory, graph theory and combinatorics, to more classical computational areas, such as group theory and number theory. Many of the papers in the book provide a survey of their topic, as well as a description of present research. Throughout the variety of mathematical and computational fields represented, the emphasis is placed on the common principles and the methods employed. Audience: Students, experts, and those performing current research in any of the topics mentioned above.

Computers have stretched the limits of what is possible in mathematics. More: they have given rise to new fields of mathematical study; the analysis of new and traditional algorithms, the creation of new paradigms for implementing computational methods, the viewing of old techniques from a concrete algorithmic vantage point, to name but a few. Computational Algebra and Number Theory lies at the lively intersection of computer science and mathematics. It highlights the surprising width and depth of the field through examples drawn from current activity, ranging from category theory, graph theory and combinatorics, to more classical computational areas, such as group theory and number theory. Many of the papers in the book provide a survey of their topic, as well as a description of present research. Throughout the variety of mathematical and computational fields represented, the emphasis is placed on the common principles and the methods employed. Audience: Students, experts, and those performing current research in any of the topics mentioned above.

The ?rst Algorithmic Number Theory Symposium took place in May 1994 at Cornell University. The preface to its proceedings has the organizers expressing the hope that the meeting would be "the ?rst in a long series of international conferencesonthe algorithmic, computational, andcomplexity theoreticaspects of number theory." ANTS VIII was held May 17-22, 2008 at the Ban? Centre in Ban?, Alberta, Canada. It was the eighth in this lengthening series. The conference included four invited talks, by Johannes Buchmann (TU Darmstadt), AndrewGranville(UniversitedeMontr eal), Fran, coisMorain(Ecole Polytechnique), andHughWilliams(UniversityofCalgary), apostersession, and 28 contributed talks in appropriate areas of number theory. Each submitted paper was reviewed by at least two experts external to the Program Committee; the selection was made by the committee on the basis of thoserecommendations.TheSelfridgePrizeincomputationalnumbertheorywas awardedtotheauthorsofthebestcontributedpaperpresentedattheconference. The participants in the conference gratefully acknowledge the contribution made by the sponsors of the meeting. May 2008 Alf van der Poorten and Andreas Stein (Editors) Renate Scheidler (Organizing Committee Chair) Igor Shparlinski (Program Committee Chair) Conference Website The names of the winners of the Selfridge Prize, material supplementing the contributed papers, and errata for the proceedings, as well as the abstracts of the posters and the posters presented at ANTS VIII, can be found at: http: //ants.math.ucalgary.ca."

Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse range of topics, from elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the way, the authors reveal some amazing applications of the theory to seemingly unrelated problems in number theory. Previously scattered throughout the literature, these applications are brought together in this volume for the first time. A wide variety of exercises guide readers through the material, which will be especially helpful to readers using the book for self-study, and the authors also provide many pointers to the literature.

Title: The Sin of Joost Avelingh. A Dutch story.Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The FICTION & PROSE LITERATURE collection includes books from the British Library digitised by Microsoft. The collection provides readers with a perspective of the world from some of the 18th and 19th century's most talented writers. Written for a range of audiences, these works are a treasure for any curious reader looking to see the world through the eyes of ages past. Beyond the main body of works the collection also includes song-books, comedy, and works of satire. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Van der Poorten-Schwartz, Joost Marius Willem; 1892. viii. 316 p.; 8 . 12638.r.11.