Series: Lecture Notes in Mathematics, Vol. 1861
Giorgilli, Antonio (Ed.)
2005, XIV, 177 p., Softcover
ISBN: 3-540-24064-0
About this book
This volume compiles three series of lectures on applications of
the theory of Hamiltonian systems, contributed by some of the
specialists in the field. The aim is to describe the state of the
art for some interesting problems, such as the Hamiltonian theory
for infinite-dimensional Hamiltonian systems, including KAM
theory, the recent extensions of the theory of adiabatic
invariants, and the phenomena related to stability over
exponentially long times of Nekhoroshev's theory. The books may
serve as an excellent basis for young researchers, who will find
here a complete and accurate exposition of recent original
results and many hints for further investigation.
Table of contents
A. Giorgilli: Preface.- G. Benettin: Physical Applications of
Nekhoroshev Theorem and Exponential Estimates.- J. Henrard: The
Adiabatic Invariant Theory and Applications.- S. Kuksin: Lectures
on Hamiltonian Methods in Nonlinear PDEs.-
Summary
Collected over several years by Peter Winkler, of Bell Labs,
dozens of elegant, intriguing challenges are presented in
Mathematical Puzzles. The answers are easy to explain, but
without this book, devilishly hard to find.
Creative reasoning is the key to these puzzles. No involved
computation or higher mathematics is necessary, but your ability
to construct a mathematical proof will be severly tested?even if
you are a professional mathematician.
For the truly adventurous, there is even a chapter on unsolved
puzzles.
Details
ISBN: 1-56881-201-9
Year: 2003
Format: Paperback
Pages: 175
Reviews
Review of Mathematical Puzzles:A Connoisseur's Collection by
Peter Winkler (External Link)
September 2004
http://www.maa.org/reviews/puzzlesconnoisseur.html
Winkler’s book will certainly appeal to the mathematician, as
well as to students of all ages?high-school, college, and
graduate. His philosophy of what constitutes a good puzzle is
right on the mark, showing that this Connoisseur’s Collection
really is of quality and depth.
ISBN: 1-58488-368-5
Publication Date: 12/28/2004
Number of Pages: 840
Reflects the changes in actuarial thinking, technique, and
application over the past five years
Expands considerably on the Pensions section to provide a
balanced treatment of defined-benefit and defined-contribution
pension plans
Includes a new part reflecting the growing significance of
actuarial applications in the fields of disability, health, and
long-term care insurance
Incorporates international terminology and both EU and US
examples and comparisons
In the years since the publication of the best-selling first
edition, the incorporation of ideas and theories from the rapidly
growing field of financial economics has precipitated
considerable development of thinking in the actuarial profession.
Modern Actuarial Theory and Practice, Second Edition integrates
those changes and presents an up-to-date, comprehensive overview
of UK and international actuarial theory, practice and modeling.
It describes all of the traditional areas of actuarial activity,
but in a manner that highlights the fundamental principles of
actuarial theory and practice as well as their economic,
financial, and statistical foundations.
2005
hard
449 p.
hard
0-8247-9052-9
Statistics: Textbooks and Monographs, 178
Maintaining the reader-friendly features of its popular
predecessor, the Second Edition illustrates fundamental
principles and practices of quality control for improved quality,
reliability, and productivity in the management of production
processes and industrial and business operations. The book
considers management models currently utilized in industry,
including the TQC, TQM, and MBNQA; helps quality control
professionals obtain maximum performance from production
processes and meet the demands of heightened competition and
requirements set by national and international standards; and
discusses key Six Sigma and Lean Manufacturing principles and
concepts.
Over the last decade the physics of black holes has been revolutionized by developments that grew out of Jacob Bekenstein痴 realization that black holes have entropy. Steven Hawking raised profound issues concerning the loss of information in black hole evaporation and the consistency of quantum mechanics in a world with gravity. For two decades these questions puzzled theoretical physicists and eventually led to a revolution in the way we think about space, time, matter and information. This revolution has culminated in a remarkable principle called 典he Holographic Principle・ which is now a major focus of attention in gravitational research, quantum field theory and elementary particle physics. Leonard Susskind, one of the co-inventors of the Holographic Principle as well as one of the founders of String theory, develops and explains these concepts.
Contents:
Black Holes and Quantum Mechanics:
The Schwarzschild Black Hole
Scalar Wave Equation in a Schwarzschild Background
Quantum Fields in Rindler Space
Entropy of the Free Quantum Field in Rindler Space
Thermodynamics of Black Holes
Charged Black Holes
The Stretched Horizon
The Laws of Nature
The Puzzle of Information Conservation in Black Hole Environments
Horizons and the UV/IR Connection
Entropy Bounds and Holography:
Entropy Bounds
The Holographic Principle and Anti de Sitter Space
Black Holes in a Box
Black Holes and Strings:
Strings
Entropy of Strings and Black Holes
Readership: Graduate students, researchers and theoretical physicists.
200pp Pub. date: Dec 2004
ISBN 981-256-083-1
ISBN 981-256-131-5(pbk)