- Realistic applications integrated throughout the text,
including (but not limited to): symmetries of artistic patterns,
physics, robotics, computer vision, computer graphics, stability
of architectural structures, molecular biology, medicine, and
pattern recognition
- Historical notes included in many chapters
- Free Solutions Manual for all adopters
Reviews
“Meyer’s book…is an especially good choice for a teacher
who wants to show the interplay of the theory and applicability
of mathematics, who wants to emphasize the connections within the
different parts of mathematics, and who wants to meet the needs
of future teachers and researchers in a sophisticated way.”
?Joseph Malkevitch, York College, City University of New York,
USA
Description
GEOMETRY AND ITS APPLICATIONS, SECOND EDITION, combines
traditional geometry with ideas of recent decades to present a
new approach for the 21st century. It balances the deductive
approach with discovery learning, and introduces axiomatic,
Euclidean geometry, non-Euclidean geometry, and transformational
geometry. The text integrates realistic applications throughout
and includes historical notes in many chapters.
The second edition of GEOMETRY AND ITS APPLICATIONS is a
significant text for any university with a Mathematics department
that focuses on geometry's usefulness in other disciplines. The
book will especially appeal to schools with strong engineering or
technology programs.
Contents
Chapter 1: The Axiomatic Method in Geometry
Chapter 2: The Euclidean Heritage
Chapter 3: Non-Euclidean Geometry
Chapter 4: Transformation Geometry I: Isometries and Symmetries
Chapter 5: Vectors in Geometry
Chapter 6: Transformation Geometry II: Isometries and Matrices
Chapter 7: Transformation Geometry III: Similarity, Inversion and
Projection
Chapter 8: Graphs, Maps and Polyhedra
Readership: Junior/Senior level undergraduate courses in geometry
ISBN: 0-12-369427-2 Book/Hardback
Line Illustrations: 5 Halftones: 2
Measurements: 7 1/2 X 9 1/4 in
Pages: 544
Publication Date: 22 February 2006
2005, XX, 218 p. 40 illus., Hardcover
ISBN: 0-8176-4386-9
About this textbook
"…the author has packaged an excellent and modern set of
topics around the development and use of quantitative models....
If you need to learn about resampling, this book would be a good
place to start."
?Technometrics (Review of the Second Edition)
This thoroughly revised and expanded third edition is a practical
guide to data analysis using the bootstrap, cross-validation, and
permutation tests. Only requiring minimal mathematics beyond
algebra, the book provides a table-free introduction to data
analysis utilizing numerous exercises, practical data sets, and
freely available statistical shareware.
Topics and Features
* Practical presentation covers both the bootstrap and
permutations along with the program code necessary to put them to
work.
* Includes a systematic guide to selecting the correct procedure
for a particular application.
* Detailed coverage of classification, estimation, experimental
design, hypothesis testing, and modeling.
* Suitable for both classroom use and individual self-study.
New to the Third Edition
* Procedures are grouped by application; a prefatory chapter
guides readers to the appropriate reading matter.
* Program listings and screen shots now accompany each resampling
procedure: Whether one programs in C++, CART, Blossom, Box
Sampler (an Excel add-in), EViews, MATLAB, R, Resampling Stats,
SAS macros, S-PLUS, Stata, or StatXact, readers will find the
program listings and screen shots needed to put each resampling
procedure into practice.
* To simplify programming, code for readers to download and apply
is posted at http://www.springeronline.com/0-8176-4386-9.
* Notation has been simplified and, where possible, eliminated.
* A glossary and answers to selected exercises are included.
With its accessible style and intuitive topic development, the
book is an excellent basic resource for the power, simplicity,
and versatility of resampling methods. It is an essential
resource for statisticians, biostatisticians, statistical
consultants, students, and research professionals in the
biological, physical, and social sciences, engineering, and
technology.
2005, VIII, 171 p., Softcover
ISBN: 3-7643-7490-X
About this book
The book gives a comprehensive introduction to complex analysis
in several variables. One major focus of the book is extension
phenomena alien to the one-dimensional theory (Hartog's
Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem). The
book primarily aims at students starting to work in the field of
complex analysis in several variables and teachers who want to
prepare a university lecture. Therefore, the book contains many
examples and supporting exercises.
Table of contents
2006, XVI, 312 p. 51 illus., Hardcover
ISBN: 0-8176-4377-X
About this book
The quantitative and qualitative study of the physical world
makes use of many mathematical models governed by a great
diversity of ordinary, partial differential, integral, and
integro-differential equations. An essential step in such
investigations is the solution of these types of equations, which
sometimes can be performed analytically, while at other times
only numerically. This edited, self-contained volume presents a
series of state-of-the-art analytic and numerical methods of
solution constructed for important problems arising in science
and engineering, all based on the powerful operation of (exact or
approximate) integration.
The book, consisting of twenty seven selected chapters presented
by well-known specialists in the field, is an outgrowth of the
Eighth International Conference on Integral Methods in Science
and Engineering, held August 2?4, 2004, in Orlando, FL.
Contributors cover a wide variety of topics, from the theoretical
development of boundary integral methods to the application of
integration-based analytic and numerical techniques that include
integral equations, finite and boundary elements, conservation
laws, hybrid approaches, and other procedures.
The volume may be used as a reference guide and a practical
resource. It is suitable for researchers and practitioners in
applied mathematics, physics, and mechanical and electrical
engineering, as well as graduate students in these disciplines.
Table of Contents
2005, XII, 244 p., Hardcover
ISBN: 3-7643-7371-7
About this book
The basic structure of this book is a real inner product space X
of arbitrary (finite or infinite) dimension greater than or equal
to 2. With natural properties of general translations and general
distances of X euclidean, hyperbolic translations and distances,
respectively, are characterized. For these spaces X, also the
sphere geometries of Mobius and Lie are studied (besides
euclidean and hyperbolic geometry), as well as geometries where
Lorentz transformations play the key role.
Table of Contents