Series: Springer Series in Information Sciences, Vol. 7
2006, Approx. 385 p. 99 illus., 4 in colour., Hardcover
ISBN: 3-540-26596-1
About this textbook
"Number Theory in Science and Communication" is an well-known
introduction for non-mathematicians to this fascinating and usful
branch of applied mathematics . It stresses intuitive
understanding rather than abstract theory and highlights
important concepts such as continued fractions, the golden ratio,
quadratic residues and Chinese remainders, trapdoor functions,
pseudoprimes and primitive elements. Their applications to
problems in the real world are one of the main themes of the book.
This revised fourth edition is augmented by recent advances in
primes in progressions, twin primes, prime triplets, prime
quadruplets and quintruplets, factoring with elliptic curves,
quantum factoring, Golomb rulers and "baroque" integers.
From reviews of earlier editions ?
"I continue to find [Schroeder’s] Number Theory a goldmine
of valuable information. It is a marvellous book, in touch with
the most recent applications of number theory and written with
great clarity and humor.’ Philip Morrison (Scientific American)
"A light-hearted and readable volume with a wide range of
applications to which the author has been a productive
contributor ? useful mathematics outside the formalities of
theorem and proof." Martin Gardner
Table of contents
Introduction.- The Natural Numbers.- Primes.- The Prime
Distribution.- Fractions: Continued, Egyptian and Farey.- Linear
Congruences.- Diophantine Equations.- The Theorems of Fermat,
Wilson and Euler.- Euler Trap Doors and Public-Key Encryption.-
The Divisor Functions.- The Prime Divisor Functions.- Certified
Signatures.- Primitive Roots.- Knapsack Encryption.- Quadratic
Residues.- The Chinese Remainder Theorem and Simultaneous
Congruences.- Fast Transformations and Kronecker Products.-
Quadratic Congruences.- Psudoprimes, Poker and Remote Coin
Tossing.- The Mobius Function and the Mobius Transform.-
Generating Functions and Partitions.- Cyclotomic Polynomials.-
Linear Systems and Polynomials.- Polynomial Theory.- Galois
Fields.- Spectral Properties of Galois Sequences.- Random Number
Generators.- Waveforms and Radiation Patterns.- Number Theory,
Randomness and "Art".
Series: Springer Texts in Statistics
Approx. 500 p., Hardcover
ISBN: 0-387-40337-X
Due: October 2005
About this textbook
The goal of this book is to provide an overview of statistical
models and methods that are useful in the analysis of
longitudinal data; that is, data in the form of repeated
measurements on the same experimental unit over time. The
intended audience is a combination of non- statistics graduate
students who have taken an applied methods course covering linear
regression and Analysis of Variance and masters-level statistics
students looking for an applied intro course.
Table of contents
Introduction and Motivation * Review of Matrix Algebra * Random
Vectors and Multivariate Normal Distribution * Univariate
Repeated Measures Analysis of Variance * Multivariate Repeated
Measures Analysis of Variance * Drawbacks and Limitations of
Classicial Methods * General Linear Models for Longitudinal Data
* Random Coefficient Models for Multivariate Normal Data * Linear
Mixed Effects Models for Multivariate Normal Data * Generalized
Linear Models for NonNormal Response * Population-averaged Models
for Nonnormal Repeated Measurements * Advanced Topics
Series: Graduate Texts in Mathematics, Vol. 233
2005, Approx. 350 p. 6 illus., Hardcover
ISBN: 0-387-28141-X
Due: November 2005
About this textbook
The geometry of Banach spaces is a rich, beautiful, and rewarding
subject. In this book the authors emphasize the isomorphic theory
of Banach spaces and techniques using the unifying viewpoint of
basic sequences. The book is suitable for a semester-long
graduate course and it will become a standard reference and
textbook in the area
Table of contents
Bases and Basic Sequences.- The classical sequence spaces.-
Special types of bases.- Spaces of continuous functions.- L_1(mu)-spaces
and C(K)-spaces.- L_p(\mu)-spaces, 1 \leq p < \infty.-
Factorization Theory.- Absolutely Summing Operators.- Symmetric
Bases and Greedy Bases.- Ramsey methods.-Ultraproducts.
Description
This is the key text and reference for engineers, researchers and
senior students dealing with the analysis and modelling of
structures ? from large civil engineering projects such as dams,
to aircraft structures, through to small engineered components.
Covering small and large deformation behaviour of solids and
structures, it is an essential book for engineers and
mathematicians. The new edition is a complete solids and
structures text and reference in its own right and forms part of
the world-renowned Finite Element Method series by Zienkiewicz
and Taylor. New material in this edition includes separate
coverage of solid continua and structural theories of rods,
plates and shells; extended coverage of plasticity (isotropic and
anisotropic); node-to-surface and 'mortar' method treatments;
problems involving solids and rigid and pseudo-rigid bodies; and
multi-scale modelling.
Audience
Practicing engineers, senior students, researchers and in
mechanical, automotive, aeronautical and civil engineering. Key
topic for applied mathematicians and engineering software
developers.
Contents
General Problems in solid mechanics and non-linearity; Galerkin
method of approximation - irreducible and mixed forms; Solution
of non-linear algebraic equations; Inelastic and non-linear
materials; Geometrically non-linear problems - finite
deformation; Material constitution for finite deformation;
Treatment of Constraints - contact and tied interfaces; Pseudo-Rigid
& Rigid-Flexible Bodies; Discrete element methods; Structural
Mechanics Problems in One Dimension - rods; Plate Bending
Approximation; Thick Reissner-Mindlin Plates -Irreducible &
Mixed Formulations; Shells as an assembly of flat elements;
Curved rods and axisymmetric shells; Shells as a special case of
three-dimensional analysis; Semi-analytical finite element
processes; Non-linear structural processes - large displacement
and instability; Multiscale modelling; Computer procedures for
finite element analysis; Appendices
Bibliographic & ordering Information
Hardbound, ISBN: 0-7506-6321-9, 736 pages, publication date: 2005