Download or read book MASS Selecta written by Svetlana Katok and published by American Mathematical Soc.. This book was released on with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book results from a unique and innovative program at Pennsylvania State University. Under the program, the ''best of the best'' students nationwide are chosen to study challenging mathematical areas under the guidance of experienced mathematicians. This program, Mathematics Advanced Study Semesters (MASS), offers an unparalleled opportunity for talented undergraduate students who are serious in the pursuit of mathematical knowledge. This volume represents various aspects of the MASS program over its six-year existence, including core courses, summer courses, students' research, and colloquium talks. The book is most appropriate for college professors of mathematics who work with bright and eager undergraduate and beginning graduate students, for such students who want to expand their mathematical horizons, and for everyone who loves mathematics and wants to learn more interesting and unusual material. The first half of the book contains lecture notes of nonstandard courses. A text for a semester-long course on $p$-adic analysis is centered around contrasts and similarities with its real counterpart. A shorter text focuses on a classical area of interplay between geometry, algebra and number theory (continued fractions, hyperbolic geometry and quadratic forms). Also provided are detailed descriptions of two innovative courses, one on geometry and the other on classical mechanics. These notes constitute what one may call the skeleton of a course, leaving the instructor ample room for innovation and improvisation. The second half of the book contains a large collection of essays on a broad spectrum of exciting topics from Hilbert's Fourth Problem to geometric inequalities and minimal surfaces, from mathematical billiards to fractals and tilings, from unprovable theorems to the classification of finite simple groups and lexicographic codes.
Download or read book MASS Selecta written by Svetlana Katok and published by American Mathematical Soc.. This book was released on 2003 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics Advanced Study Semesters (MASS) program offers an opportunity for talented undergraduate students who are serious in the pursuit of mathematical knowledge. This book represents various aspects of the MASS program over its six-year existence, including core courses, summer courses, students' research, and colloquium talks.
Download or read book Mathematical Omnibus written by D. B. Fuks and published by American Mathematical Soc.. This book was released on 2007 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
Download or read book Graph Theory written by Ralucca Gera and published by Springer. This book was released on 2018-10-26 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory. It is designed for both graduate students and established researchers in discrete mathematics who are searching for research ideas and references. Each chapter provides more than a simple collection of results on a particular topic; it captures the reader’s interest with techniques that worked and failed in attempting to solve particular conjectures. The history and origins of specific conjectures and the methods of researching them are also included throughout this volume. Students and researchers can discover how the conjectures have evolved and the various approaches that have been used in an attempt to solve them. An annotated glossary of nearly 300 graph theory parameters, 70 conjectures, and over 600 references is also included in this volume. This glossary provides an understanding of parameters beyond their definitions and enables readers to discover new ideas and new definitions in graph theory. The editors were inspired to create this series of volumes by the popular and well-attended special sessions entitled “My Favorite Graph Theory Conjectures,” which they organized at past AMS meetings. These sessions were held at the winter AMS/MAA Joint Meeting in Boston, January 2012, the SIAM Conference on Discrete Mathematics in Halifax in June 2012, as well as the winter AMS/MAA Joint Meeting in Baltimore in January 2014, at which many of the best-known graph theorists spoke. In an effort to aid in the creation and dissemination of conjectures and open problems, which is crucial to the growth and development of this field, the editors invited these speakers, as well as other experts in graph theory, to contribute to this series.
Download or read book p adic Analysis Compared with Real written by Svetlana Katok and published by American Mathematical Soc.. This book was released on 2007 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives an introduction to $p$-adic numbers from the point of view of number theory, topology, and analysis. Compared to other books on the subject, its novelty is both a particularly balanced approach to these three points of view and an emphasis on topics accessible to undergraduates. in addition, several topics from real analysis and elementary topology which are not usually covered in undergraduate courses (totally disconnected spaces and Cantor sets, points of discontinuity of maps and the Baire Category Theorem, surjectivity of isometries of compact metric spaces) are also included in the book. They will enhance the reader's understanding of real analysis and intertwine the real and $p$-adic contexts of the book. The book is based on an advanced undergraduate course given by the author. The choice of the topic was motivated by the internal beauty of the subject of $p$-adic analysis, an unusual one in the undergraduate curriculum, and abundant opportunities to compare it with its much more familiar real counterpart. The book includes a large number of exercises. Answers, hints, and solutions for most of them appear at the end of the book. Well written, with obvious care for the reader, the book can be successfully used in a topic course or for self-study.
Download or read book Handbook of Differential Geometry written by Franki J.E. Dillen and published by Elsevier. This book was released on 2005-11-29 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research. Extensive bibliography. Dealing with a diverse range of areas. Starting from the basics
Download or read book Modern Dynamical Systems and Applications written by Michael Brin and published by Cambridge University Press. This book was released on 2004-08-16 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
Download or read book The Rudiments of English Grammar and Analysis written by Ernest Adams and published by . This book was released on 1871 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Life of the Rev John Wesley M A written by John Whitehead and published by Cambridge University Press. This book was released on 2013-05-06 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published amid controversy in 1793-6, this two-volume biography remains an important portrait of Methodism's founders and early history.
Download or read book The Life and Times of the Rev John Wesley M A Founder of the Methodists written by Luke Tyerman and published by . This book was released on 1872 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on 1970 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes subject section, name section, and 1968-1970, technical reports.
Download or read book The life of the rev John Wesley M A to which is prefixed some account of his ancestors and relation To which is subjoined an appendix 2 vols written by John Whitehead and published by . This book was released on 1805 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Unique U S Russian Relationship in Biological Science and Biotechnology written by Russian Academy of Sciences and published by National Academies Press. This book was released on 2013-04-14 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fall of 2010, the U.S. National Academies (consisting of the National Academy of Sciences, the National Academy of Engineering, and the Institute of Medicine) and the Russian Academy of Sciences (in cooperation with the Russian Academy of Medical Sciences and the Russian Academy of Agricultural Sciences) initiated a joint study of U.S.-Russian bilateral engagement in the biological sciences and biotechnology (hereinafter collectively referred to as bioengagement). The U.S. Department of State and the Russian Academy of Sciences provided support for the study. The academies established a joint committee of 12 leading scientists from the two countries to assess bioengagement activities since 1996 and to provide recommendations as to collaborative efforts in the near future. The Unique U.S.-Russian Relationship in Biological Science and Biotechnology: Recent Experience and Future Directions summarizes the principal conclusions and recommendations of the study.
Download or read book The Life of the Rev John Wesley M A written by John Whitehead and published by . This book was released on 1852 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementary Algebra to Simple Equations written by Charles Elsee and published by . This book was released on 1869 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Materials for French prose composition or selections from the best English writers with idiomatic renderings by F E A Gasc written by Ferdinand E A. Gasc and published by . This book was released on 1869 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
