ISBN: 978-1-4398275-5-0
Publish Date: 16th July 2010
Pages: 293 pages
Organized by analytic task, this compendium provides a concise yet thorough overview of the use of R for data management, statistical analysis, and graphics. Through simple code and worked examples, the text demonstrates how to undertake common tasks, ranging from matrix operations and linear regression to model diagnostics and multivariate statistics. It includes a subject index, R command index, and extensive cross-referencing, enabling readers to locate the required code very easily. The code is supported by detailed worked examples, including plenty of output to show how the methods can be put into practice.
Data Management. Common Statistical Procedures. Linear Regression and ANOVA. Regression Generalizations. Graphics. Other Topics and Extended Examples. Appendices. Indices.
ISBN: 978-1-4398275-7-4
Publish Date: 16th July 2010
Pages: 298 pages
Description Contents Author Bio Subjects Description
Organized by analytic task, this compendium provides a concise yet thorough overview of the use of SAS for data management, statistical analysis, and graphics. Through simple code and worked examples, the text demonstrates how to undertake common tasks, from inputting data sets, manipulating data, creating graphical plots, and exporting graphics to matrix operations, linear regression, and multivariate statistics. It includes a subject index, a SAS index, and extensive cross-referencing, enabling readers to locate the required code very easily. The code is supported by detailed worked examples to show how the methods can be put into practice.
Data Management. Common Statistical Procedures. Linear Regression and ANOVA. Regression Generalizations. Graphics. Other Topics and Extended Examples. Appendices. Indices.
ISBN: 978-1-4398345-9-6
Publish Date: 1st July 2010
Pages: 352 pages
Covering the field of analysis on Riemann manifold, this book focuses on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow. It shows how to use the tools of Sobolev embedding and heat kernel estimates to study Ricci flows in research areas such as surgery, which has attracted much attention. One of the main applications discussed is the clarification and simplification of the proof of the Poincare conjecture, for which Perelman was awarded the Fields Medal. The book also describes the proof of Hamilton's little loop conjecture with surgery.
Mathematical Analysis
Geometry
Geometry and Topology
Real, Complex & Functional Analysis
CBMS Regional Conference Series in Mathematics
2010; 115 pp; softcover
Number: 112
ISBN-10: 0-8218-4930-1
ISBN-13: 978-0-8218-4930-9
List Price: US$34
Member Price: US$27
All Individuals: US$27
Order Code: CBMS/112
Not yet published.
Expected publication date is May 29, 2010. Suggest to a Colleague See also:
Classical and Quantum Computation - A Yu Kitaev, A H Shen and M N Vyalyi
Quantum Field Theory: A Tourist Guide for Mathematicians - Gerald B Folland
Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators.
This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter.
Graduate students and research mathematicians interested in quantum computers, topological quantum field theory.
Temperley-Lieb-Jones theories
Quantum circuit model
Approximation of the Jones polynomial
Ribbon fusion categories
(2+1)-TQFTs
TQFTs in nature
Topological quantum computers
Topological phases of matter
Outlook and open problems
Bibliography
2010; approx. 327 pp; softcover
ISBN-10: 0-8218-4349-4
ISBN-13: 978-0-8218-4349-9
List Price: US$49
Member Price: US$39
Order Code: MBK/72
Not yet published.
Expected publication date is July 10, 2010. Suggest to a Colleague See also:
Five-Minute Mathematics - Ehrhard Behrends
Discrete Mathematics - Martin Aigner
Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" understandable and enjoyable. An additional attractive feature is the leisurely treatment of some hot topics that have gained prominence in recent years, such as Fermat's Theorem, Kepler's packing problem, and the solution of the Poincare Conjecture. Or maybe you have heard about the Nash equilibrium (of "A Beautiful Mind" fame), or the strange future of quantum computers, and want to know what it is all about? Well, open the book and take an up-to-date trip into the fascinating world of the mathematics all around us.
Undergraduates, graduate students, and research mathematicians interested in mathematical trends and topics in the world around us.
Prologue
G. von Randow -- Math becomes a cult--description of a hope
Case studies
J. H. van Lint -- The mathematics of the compact disc
H.-O. Peitgen, C. Evertsz, B. Preim, D. Selle, T. Schindewolf, and W. Spindler -- Image processing and imaging for operation planning in liver surgery
R. Borndorfer, M. Grotschel, and A. Lobel -- The quickest path to the goal
B. Fiedler -- Romeo and Juliet, spontaneous pattern formation, and Turing's instability
S. Muller -- Mathematics and intelligent materials
P. Gritzmann -- Discrete tomography: from battleship to nanotechnology
J. Richter-Gebert -- Reflections on reflections
Current topics
W. Schachermayer -- The role of mathematics in the financial markets
A. Beutelspacher -- Electronic money: an impossibility or already a reality?
M. Henk and G. M. Ziegler -- Spheres in the computer--the Kepler conjecture
E. Behrends -- How do quanta compute? The new world of the quantum computer
J. Kramer -- Fermat's Last Theorem--the solution of a 300-year-old problem
K. Sigmund -- A short history of the Nash equilibrium
R. Klein -- Mathematics in the climate of global change
The central theme
M. Aigner -- Prime numbers, secret codes and the boundaries of computability
E. Vogt -- The mathematics of knots
D. Ferus -- On soap bubbles
K. Ecker -- Heat diffusion, the structure of space and the Poincare Conjecture
E. Behrends -- Chance and mathematics: a late love
Epilogue
P. J. Davis -- The prospects for mathematics in a multi-media civilization