The G-Connection

The G-Connection
Author: Joan Vernikos
Publisher: Joan Vernikos
Total Pages: 300
Release: 2004
Genre: Health & Fitness
ISBN: 9780595329311

After 30 years of pioneering research with NASA, Joan Vernikos has written the first book to focus on the fundamental importance of gravity in maintaining youthful vigor. In it, she applies lessons learned from the experiences of U.S. astronauts and Soviet/Russian cosmonauts in space to ordinary people here on Earth. Highly practical, the "What You Can Do about It" section in each chapter is a comprehensive guide that will help young people, baby boomers, the elderly, and professionals make smart lifestyle choices. The G-Connection is written in down-to-earth and understandable language. Peppered with firsthand anecdotes from astronauts and interesting stories of Vernikos's own voyage of discovery, this book is both a fun and credible resource. The excitement for her work and ideas comes across clearly and is contagious. The reader finishes the book knowing what to do differently in his or her daily life to slow down or even reverse the aging process. "It is a treasure trove of ideas to a geriatrician"-Harold J. Guy, M.D., Professor of Geriatric Medicine, University of California San Diego Medical School, San Diego, California "The premise is plausible and the contents thoroughly referenced and well documented. It is written in a flowing style with humor and self-assurance and with language that never patronizes the reader."-Ralph Pelligra, M.D., NASA Ames Chief Medical Officer Moffett Field, California.

Connection-Oriented Networks

Connection-Oriented Networks
Author: Harry G. Perros
Publisher: John Wiley & Sons
Total Pages: 356
Release: 2005-06-10
Genre: Technology & Engineering
ISBN: 0470021640

A thorough knowledge of modern connection-oriented networks is essential to understanding the current and near-future state of networking. This book provides a complete overview of connection-oriented networks, discussing both packet-switched and circuit-switched networks, which, though seemingly different, share common networking principles. It details the history and development of such networks, and defines their terminology and architecture, before progressing to aspects such as signaling and standards. There is inclusive coverage of SONET/SDH, ATM networks, Multi-Protocol Label Switching (MPLS), optical networks, access networks and voice over ATM and MPLS. Connection-oriented Networks: * Provides in-depth, systematic coverage of several connection-oriented networks in a single volume * Explains topics such as the Generic Framing Procedure, Label Distribution Protocols, Wavelength Routing Optical Networks, Optical Burst Switching, and Access Networks in detail * Illustrates all concepts with problems and simulation projects to test and deepen your understanding * Includes an accompanying website with solutions manual and complete set of PowerPoint presentations for each chapter Senior undergraduate and graduate students in telecommunication and networking courses, as well as networking engineers, will find this comprehensive guide to connection-oriented packet-switched and circuit-switched networks useful for their training. The book presents tried and tested material based on an existing, successful course.

Regulators

Regulators
Author: José Ignacio Burgos Gil
Publisher: American Mathematical Soc.
Total Pages: 290
Release: 2012
Genre: Mathematics
ISBN: 0821853228

This volume contains the proceedings of the Regulators III Conference, held from July 12 to July 22, 2010, in Barcelona, Spain. Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute, to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory and mathematical physics. The articles in this volume are a reflection of the various approaches to this subject, such as results on motivic cohomology, descriptions of regulators, a revisiting of a number of fundamental conjectures (such as new results pertaining to the Hodge and standard conjectures), and more.

Supermanifolds and Supergroups

Supermanifolds and Supergroups
Author: Gijs M. Tuynman
Publisher: Springer Science & Business Media
Total Pages: 424
Release: 2006-01-20
Genre: Mathematics
ISBN: 1402022972

Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.

Parabolic Geometries I

Parabolic Geometries I
Author: Andreas Cap
Publisher: American Mathematical Soc.
Total Pages: 643
Release: 2009
Genre: Mathematics
ISBN: 0821826816

Discusses the equivalence between Cartan connections and underlying structures, including a complete proof of Kostant's version of the Bott - Borel - Weil theorem, which is used as an important tool. This book provides a description of the geometry and its basic invariants.

Towards the Mathematics of Quantum Field Theory

Towards the Mathematics of Quantum Field Theory
Author: Frédéric Paugam
Publisher: Springer Science & Business Media
Total Pages: 485
Release: 2014-02-20
Genre: Science
ISBN: 3319045644

This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, though mathematicians are the primary target. This reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to general gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras.

Lectures on Differential Geometry

Lectures on Differential Geometry
Author: Shlomo Sternberg
Publisher: American Mathematical Soc.
Total Pages: 466
Release: 1999
Genre: Mathematics
ISBN: 0821813854

This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.

Gauge Fields, Knots And Gravity

Gauge Fields, Knots And Gravity
Author: John C Baez
Publisher: World Scientific Publishing Company
Total Pages: 481
Release: 1994-10-24
Genre: Science
ISBN: 9813103248

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.

Mathematics Related to Physics

Mathematics Related to Physics
Author: Raoul Bott
Publisher: Springer Science & Business Media
Total Pages: 524
Release: 1994-12-19
Genre: Mathematics
ISBN: 9780817636487

The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's) Most of the papers in this volume deal with two physical-inspired themes: the Yang-Mills equations and the rigidity phenomena of vector bundles. It also contains Bott's own commentaries on a few of the papers, as well as a tribute by Clifford Taubes.