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Author : Tom M. Apostol,Mamikon A. Mnatsakanian
Publisher : American Mathematical Soc.
Page : 520 pages
File Size : 49,6 Mb
Release : 2017-10-24
Category : Mathematics
ISBN : 9781470443368
Author : Toshiaki Adachi,Hideya Hashimoto
Publisher : World Scientific
Page : 257 pages
File Size : 55,7 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9789811248115
This volume presents recent developments in geometric structures on Riemannian manifolds and their discretizations. With chapters written by recognized experts, these discussions focus on contact structures, Kähler structures, fiber bundle structures and Einstein metrics. It also contains works on the geometric approach on coding theory.For researchers and students, this volume forms an invaluable source to learn about these subjects that are not only in the field of differential geometry but also in other wide related areas. It promotes and deepens the study of geometric structures.
Author : Howard Anton
Publisher : Wiley
Page : 1326 pages
File Size : 48,9 Mb
Release : 1998-07-09
Category : Electronic
ISBN : 0471316768
Author : Alpha Omega Publications, Incorporated
Publisher : Alpha Omega Publications
Page : 128 pages
File Size : 42,6 Mb
Release : 1994-06-01
Category : Education
ISBN : 0867179627
Author : C.T. Russell
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 46,9 Mb
Release : 2009-02-28
Category : Science
ISBN : 9780387895185
New Horizons: Reconnaissance of the Pluto–Charon System and the Kuiper Belt C. T. Russell Originally published in the journal Space Science Reviews, Volume 140, Nos 1–4, 1–2. DOI: 10. 1007/s11214-008-9450-0 © Springer Science+Business Media B. V. 2008 Exploration is mankind’s imperative. Since the beginnings of civilization, men and women have not been content to build a wall around their settlements and stay within its con nes. They explored the land around them, climbed the mountains, and scanned the horizons. The boldest among them pushed exploration to the most distant frontiers of the planet. As a result, much of the Earth was inhabited well before the days of the renowned European - th th plorers of the 15 and 16 centuries. Exploration did not cease, after the circumnavigation of the globe; it continued to the present. Today explorers are going in new directions, not just east and west, north and south. They explore backward in time and upward in space. Arc- ology explores the shorter time scales, and geochemistry the longer time scales of geophy- cal events: asteroidal and cometary collisions, magnetic reversals, continental formation and more. However, on Earth we cannot go back inde nitely, for much of the evidence of the very earliest days has been lost.
Author : Leonard Mlodinow
Publisher : Simon and Schuster
Page : 326 pages
File Size : 54,7 Mb
Release : 2010-09-28
Category : Science
ISBN : 9781439135372
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.
Author : Sean Alan Hayward
Publisher : World Scientific
Page : 264 pages
File Size : 42,6 Mb
Release : 2013-03-08
Category : Science
ISBN : 9789814425711
Black holes, once just fascinating theoretical predictions of how gravity warps space-time according to Einstein's theory, are now generally accepted as astrophysical realities, formed by post-supernova collapse, or as supermassive black holes mysteriously found at the cores of most galaxies, powering active galactic nuclei, the most powerful objects in the universe. Theoretical understanding has progressed in recent decades with a wider realization that local concepts should characterize black holes, rather than the global concepts found in textbooks. In particular, notions such as trapping horizon allow physically meaningful quantities and equations, describing how a black hole evolves. This has led to discoveries in fields as diverse as classical and numerical general relativity, differential geometry, thermodynamics, quantum field theory, and quantum gravity. There is heretofore no one volume which covers all the main aspects, so this volume collects together summaries and recent research, each chapter written by an expert or experts in a given field. This is intended for readers at a graduate level upwards, who wish to learn about the wide range of research concerning black holes. Contents:An Introduction to Local Black Hole Horizons in the 3+1 Approach to General Relativity (José Luis Jaramillo)Physical Aspects of Quasi-Local Black Hole Horizons (Alex B Nielsen)On Uniqueness Results for Static, Asymptotically Flat Initial Data Containing MOTS (Alberto Carrasco and Marc Mars)Horizons in the Near-Equilibrium Regime (Ivan Booth)Isolated Horizons in Classical and Quantum Gravity (Jonathan Engle and Tomáš Liko)Quantum Thermometers in Stationary Space-Times with Horizons (Sergio Zerbini)Relativistic Thermodynamics (Sean A Hayward)Trapped Surfaces (J M M Senovilla)Some Examples of Trapped Surfaces (I Bengtsson) Readership: Professional physicists and mathematicians. Keywords:Black HolesKey Features:Each chapter is written by an expert or experts on a given topic, up to the current state of knowledge. In this way a broad range of topics is covered in depth, which has previously been available only as individual research papers
Author : Jeanne Bendick,Marcia Lauter Obrasky Levin
Publisher : Unknown
Page : 79 pages
File Size : 47,7 Mb
Release : 1962
Category : Geometry
ISBN : 0070044872
An introduction to some of the basic concepts in geometry and where they are met in everyday life, including sections on mathematics in art or music, and the use of letters and charts in mathematics.
Author : Alwyn Francis Horadam,Ian W. Stewart,M. E. Dunkley
Publisher : Unknown
Page : 596 pages
File Size : 55,5 Mb
Release : 1972
Category : Mathematics
ISBN : STANFORD:36105049304939
Author : Philippe Block,Jan Knippers,Niloy J. Mitra,Wenping Wang
Publisher : Springer
Page : 379 pages
File Size : 52,8 Mb
Release : 2014-12-26
Category : Mathematics
ISBN : 9783319114187
This book contains 24 technical papers presented at the fourth edition of the Advances in Architectural Geometry conference, AAG 2014, held in London, England, September 2014. It offers engineers, mathematicians, designers, and contractors insight into the efficient design, analysis, and manufacture of complex shapes, which will help open up new horizons for architecture. The book examines geometric aspects involved in architectural design, ranging from initial conception to final fabrication. It focuses on four key topics: applied geometry, architecture, computational design, and also practice in the form of case studies. In addition, the book also features algorithms, proposed implementation, experimental results, and illustrations. Overall, the book presents both theoretical and practical work linked to new geometrical developments in architecture. It gathers the diverse components of the contemporary architectural tendencies that push the building envelope towards free form in order to respond to multiple current design challenges. With its introduction of novel computational algorithms and tools, this book will prove an ideal resource to both newcomers to the field as well as advanced practitioners.
Author : Anonim
Publisher : Unknown
Page : 164 pages
File Size : 54,7 Mb
Release : 2005
Category : Electronic
ISBN : NWU:35556036451714
Author : Siobhan Roberts
Publisher : Unknown
Page : 400 pages
File Size : 42,9 Mb
Release : 2007-07
Category : Geometry
ISBN : 0887847773
In the tradition of A Beautiful Mind, here is an engaging biography of a world-famous Canadian geometry genius, Donald Coxeter, whose work has slowly and steadily become the air we breathe, with everyday applications in telecommunication and e-commerce, among other fields. King of Infinite Space combines two bestselling categories, popular science and biography. It makes geometry accessible through the fascinating life of the 20th century's greatest classical geometer -- a man who also happens to be a Canadian. Coxeter's story weaves together several rich and surprising threads, from the idiosyncratic nature of his personal life to the geopolitical fabric of his times -- what he calls the wild wicked world -- and illuminates the importance of mathematics therein. Indeed, Coxeter is credited with saving classical geometry from near extinction: for over fifty years, he fought a quiet war of attrition against disdain for his unfashionable geometry, stoically retaining his passion for the beauty of shapes.
Author : Witold Pedrycz,Shyi-Ming Chen
Publisher : Springer Nature
Page : 239 pages
File Size : 53,8 Mb
Release : 2023-07-15
Category : Technology & Engineering
ISBN : 9783031320958
The book provides a timely coverage of the paradigm of knowledge distillation—an efficient way of model compression. Knowledge distillation is positioned in a general setting of transfer learning, which effectively learns a lightweight student model from a large teacher model. The book covers a variety of training schemes, teacher–student architectures, and distillation algorithms. The book covers a wealth of topics including recent developments in vision and language learning, relational architectures, multi-task learning, and representative applications to image processing, computer vision, edge intelligence, and autonomous systems. The book is of relevance to a broad audience including researchers and practitioners active in the area of machine learning and pursuing fundamental and applied research in the area of advanced learning paradigms.
Author : P.-O. Löwdin,A. Pullman
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400979505
The Fourth International Congress in Quantum Chemistry under the auspices of the International Academy of Molecular Quantum Science in Menton, France was arranged at Uppsala University, Uppsala, Sweden, during the period June 14 - 19, 1982, in close collaboration with the University of Florida. The previous congresses were held in Menton 1973, New Orleans 1976, and Kyoto 1979, and the 1985 congress is tentatively planned to be held in the province of Quebec, Canada. The Congress consisted of six symposia in various areas of quantum chemistry, solid-state theory, and quantum bi ology. The meeting was attended by about 450 scientists from 45 different nations, and a total of more than 300 scientific papers were presented. Even the poster contri butions were given some plenary time. These proceedings contain the text of the plenary lec tures as well as the chairmen's introductions, whereas the contributed papers will be published in the International Journal of Quantum Chemistry, (John Wiley & Sons, New York) in the regular January - April 1983 issues.
Author : Andreĭ Petrovich Kiselev
Publisher : Unknown
Page : 192 pages
File Size : 50,8 Mb
Release : 2008
Category : Geometry
ISBN : UCSD:31822037285152
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
