This larger-format (7" x 10") re-issue includes a correction to the table of
contents, a revised preface, and an updated series listing at the front of
the book. It replaces the original printing of SDG vol. 10 (December 2006;
Hardcover. 430 pages.
ISBN-13: 978-1-57146-122-3
2000 MSC: 03-02
Published: December 2008 (first published Dec. 2006)
This volume includes lectures on geometry and topology related to the works
of the late and venerated S.S. Chern. From the 2005 JDG conference at
Harvard University. Larger-format 2008 re-issue with corrected table of
contents.
* On the space-time monopole equation
(B. Dai, C.-L. Terng & K. Uhlenbeck)
* The Erhardt function for symbols
(V. Guillemin, S. Sternberg & J. Weitsman)
* Recent results on the moduli spaces of Riemann surfaces
(K. Liu)
* Applications of minimal surfaces to the topology of three-manifolds
(W. Meeks)
* An integral equation for spacetime curvature in general relativity
(V. Moncrief)
* Topological strings and their physical applications
(A. Nietzke & C. Vafa)
* Notes on GIT and symplectic reduction for bundles and varieties
(R. P. Thomas)
* Perspectives on geometric analysis
(S.-T. Yau)
* Distributions in algebraic dynamics
(S.-W. Zhang)
ISBN: 978-0-470-41215-2
Hardcover
384 pages
June 2008
A Course in Computational Number Theory uses the computer as a tool for motivation and explanation. The book is designed for the reader to quickly access a computer and begin doing personal experiments with the patterns of the integers. It presents and explains many of the fastest algorithms for working with integers. Traditional topics are covered, but the text also explores factoring algorithms, primality testing, the RSA public-key cryptosystem, and unusual applications such as check digit schemes and a computation of the energy that holds a salt crystal together. Advanced topics include continued fractions, Pell's equation, and the Gaussian primes.
The CD-ROM contains a Mathematica? package that has hundreds of functions that show step-by-step operation of famous algorithms. (The user must have Mathematica in order to use this package.) Also included is an auxiliary package that contains a database of all 53,000 integers below 10^16 that are 2- and 3-strong pseudoprimes. Users will also have access to an online guide that gives illustrative examples of each function.
ISBN: 978-0-470-41216-9
Paperback
802 pages
June 2008
Introduction to Design and Analysis of Experiments explains how to choose sound and suitable design structures and engages students in understanding the interpretive and constructive natures of data analysis and experimental design. Cobb's approach allows students to build a deep understanding of statistical concepts over time as they analyze and design experiments. The field of statistics is presented as a matrix, rather than a hierarchy, of related concepts. Developed over years of classroom use, this text can be used as an introduction to statistics emphasizing experimental design or as an elementary graduate survey course.
Widely praised for its exceptional range of intelligent and creative exercises, and for its large number of examples and data sets, Introduction to Design and Analysis of Experiments--now offered in a convenient paperback format--helps students increase their understanding of the material as they come to see the connections between diverse statistical concepts that arise from the experiments around which the text is built.
ISBN: 978-0-470-41224-4
Paperback
504 pages
June 2008
Crossing the River with Dogs: Problem Solving for College Students has been adapted from the popular high school text to provide an accessible and coherent college-level course in mathematical problem solving for adults. Focusing entirely on problem solving and using issues relevant to college students for examples, the authors continue their approach of explaining classic as well as non-traditional strategies through dialogs among fictitious students. This text is appropriate for a problem solving, liberal arts mathematics, mathematics for elementary teachers, or developmental mathematics course.
PREFACE vii
INSTRUCTOR RESOURCES x
ACKNOWLEDGMENTS xi
INTRODUCTION 1
1 DRAW A DIAGRAM 9
2 MAKE A SYSTEMATIC LIST 25
3 ELIMINATE POSSIBILITIES 43
4 USE MATRIX LOGIC 67
5 LOOK FOR A PATTERN 107
6 GUESS AND CHECK 135
7 IDENTIFY SUBPROBLEMS 163
8 ANALYZE THE UNITS 185
9 SOLVE AN EASIER RELATED PROBLEM 219
10 CREATE A PHYSICAL REPRESENTATION 249
11 WORK BACKWARDS 277
12 DRAW VENN DIAGRAMS 301
13 CONVERT TO ALGEBRA 327
14 EVALUATE FINITE DIFFERENCES 353
15 ORGANIZE INFORMATION IN MORE WAYS 385
16 CHANGE FOCUS IN MORE WAYS 411
17 VISUALIZE SPATIAL RELATIONSHIPS 435
APPENDIX 463
Unit Analysis
Adding, Subtracting, Multiplying, and Dividing Fractions
Area and Volume Formulas
Properties of Triangles
Properties of Numbers
GLOSSARY 471
BIBLIOGRAPHY 477
INDEX OF PROBLEM TITLES 479
GENERAL INDEX 483
PHOTO CREDITS 490
ISBN: 978-0-470-38026-0
Hardcover
512 pages
May 2009
Offering a thorough and detailed discussion of univariate tolerance intervals and multivariate tolerance regions, Statistical Tolerance Regions: Theory, Applications, and Computation is one of the first books to combine recent developments with established information in the field. A wide variety of practical examples and applications promotes the understanding of the theoretical derivation of statistical tolerance regions and the computational procedures involved. With data sets included and necessary table values of tolerance factors in the appendix, this book is an ideal reference for applied statisticians, statistical consultants, academic researchers, and graduate students.
２００６年９月に東京大学（駒場）にて開催された国際会議 ``Groups of Diffeomorphisms'' の講演者と参加者による論文を収録した．森田茂之教授の還暦をお祝いし，氏の業績や数学的志向を反映して，曲面の写像類群，様々な微分同相群の代数的・微分位相的な研究や，シンプレクティック幾何，葉層構造論などのより力学系的な研究にわたる２３の論文が掲載されている．これらの分野において分野の最先端の動向を知るためのみならず，将来にわたって重要かつ基礎的な文献としてより広い読者に貢献することが期待される
This volume consists of selected paper on recent trends and results in the study of various groups of diffeomorphisms, including mapping class groups, from the point of view of algebraic and differential topology, as well as dynamical ones involving foliations and symplectic or contact diffeomorphisms. Most of the authors were invited speakers or participants of the International Symposium on Groups of Diffeomorphisms 2006, which was held at the University of Tokyo (Komaba) in September 2006. This volume is dedicated to Professor Shigeyuki Morita on the occasion of his 60th anniversary. We believe that the scope of this volume well reflects Shigeyuki Morita's mathematical interests. We hope this volume to inspire not only the specialists in these fields but also a wider audience of mathematicians.
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