Series: Applied and Numerical Harmonic Analysis
2006, Approx. 190 p. 80 illus., Softcover
ISBN: 0-8176-4390-7
About this textbook
Satellite navigation receivers are used to receive and decode
satellite navigation signals, including those provided by the GPS
constellation of satellites. There is an increasing need for a
unified platform that will enable enhanced receiver development
and design, as well as cost-effective testing procedures for
various applications. This book and accompanying DVD explore the
use of such new technologies in the area of satellite navigation
receivers.
In order to obtain a reconfigurable receiver with a wide range of
applications, the authors discuss receiver architecture based on
software-defined radio techniques. The presentation unfolds in a
systematic user-friendly style and goes from the basics to
cutting-edge research. Key features and topics include:
* presentation of basic signal structures used in GPS and Galileo---the
European satellite navigation system
* design and implementation of a GPS signal generator using the
simulated signals
* analysis of three different methods of signal acquisition: the
serial search; the parallel-frequency space search that involves
a Fourier transform; and the newer method of parallel-code phase
search that involves circular convolution based on Fourier
transforms
* implementation of analyzed methods in MATLAB and a discussion
of the choice of algorithms involved
* MATLAB-based exercises
* a hands-on method of testing the material covered in the book:
"front-end" hardware equipment---which may be purchased
online---enables readers to generate real-world data, and a DVD
with MATLAB software---allows readers to change various
parameters and immediately see their effect
* bibliography of recent results and comprehensive index
The book is aimed at applied mathematicians, electrical
engineers, geodesists, and graduate students. It may be used as a
textbook in various GPS technology and signal processing courses,
or as a self-study reference for anyone working with satellite
navigation receivers.
Table of contents
Preface
On GPS and Galileo Signals
GPS Signal Structure
Galileo Signal Structure
Front End Design and Analog Signal Conditioning
Receiver Channel Structure
Acquisition
Code and Carrier Tracking
Data Processing for Positioning
Matlab Code
Problems
A. The Original Gold Paper
B. GPS Signal Simulation
Bibliography
Index
Series: Monografie Matematyczne, Vol. 67
2006, Approx. 535 p., Hardcover
ISBN: 3-7643-7535-3
About this book
This volume presents a unified approach to analytical and
geometrical theories where the monodromy group plays an important
role. The action of the monodromy group is demonstrated in
singularity theory and algebraic geometry, where it is embodied
in the Picard-Lefschetz formula, the Gauss-Manin connection, the
Picard-Fuchs equations, and also in mixed Hodge structures. In
the theory of linear and nonlinear differential equations the
Riemann-Hilbert problem, the Stokes phenomena and the Ecalle-Voronin-Matrinet-Ramis
moduli are described. Also the relation to differential Galois
theory is presented.
Written for:
Graduates, postgraduates and researchers interested in
applications of complex analytic methods to various mathematical
areas
Table of contents
Preface.- Analytic Functions and Morse Theory.- Normal Forms of
Functions.- Algebraic Topology of Manifolds.- Topology and
Monodromy of Functions.- Integrals along Vanishing Cycles.-
Vector Fields and Abelian Integrals.- Hodge Structures and Period
Map.- Linear Differential Systems.- Holomorphic Foliations. Local
Theory.- Holomorphic Foliations. Global Aspects.- The Galois
Theory.- Hypergeometric Functions.- Bibliography.- Index.
2006, Approx. 320 p. 11 illus., Hardcover
ISBN: 0-8176-4472-5
A Birkhauser book
Due: April 2006
About this textbook
This book provides an introduction and overview of number theory
based on the distribution and properties of primes. This unique
approach provides both a firm background in the standard material
as well as an overview of the whole discipline. All the essential
topics are covered: fundamental theorem of arithmetic, theory of
congruences, quadratic reciprocity, arithmetic functions, and the
distribution of primes.
Key Topics and Features:
* Solid introduction to analytic number theory, including full
proof’s of Dirichlet’s Theorem and the Prime Number Theorem
* Solid treatment of algebraic number theory, including a
complete presentation of primes, prime factorizations in
algebraic number fields, and unique factorization of ideals
* First treatment in book form of the AKS algorithm that shows
that primality testing is of polynomial time
* Many interesting side topics, such as primality testing and
cryptography, Fermat and Mersenne numbers, and Carmichael numbers
The book’s user friendly style, historical context, and wide
range of exercises ranging from simple to quite difficult (with
solutions and hints provided for select ones) make it ideal for
self study as well as classroom use. Intended for upper level
undergraduates and beginning graduate students, the only
prerequisites are a basic knowledge of calculus, multivariable
calculus, and some linear algebra. All necessary concepts from
abstract algebra and complex analysis are introduced in the book.
Text and Readings in Mathematics/ 37
January 2006
422 pages
Paper cover
ISBN 81-85931-62-3
This two-volume introduction to real analysis is intended for
honours undergraduates, who have already been exposed to calculus.
The emphasis is on rigour and on foundations. The material starts
at the very beginning - the construction of the number systems
and set theory, then goes onto the basics of analysis (limits,
series, continuity, differentiation, Riemann integration),
through to power series, several variable calculus and Fourier
analysis, and finally to the Lebesgue integral. These are almost
entirely set in the concrete setting of the real line and
Euclidean spaces, although there is some material on abstract
metric and topological spaces. There are also appendices on
mathematical logic and the decimal system.
The course material is deeply intertwined with the exercises, as
it is intended for the student to actively learn the material and
to practice thinking and writing rigorously.
Contents
Volume 1
Preface
1 Introduction
2 The natural numbers
3 Set theory
4 Integers and rationals
5 The real numbers
6 Limits of sequences
7 Series
8 Infinite sets
9 Continuous functions on R
10 Differentiation of functions
11 The Riemann integral
A Appendix: the basics of mathematical logic
B Appendix: the decimal system
Index
Text and Readings in Mathematics/ 37
January 2006
274 pages
Paper cover
ISBN 81-85931-63-1
This two-volume introduction to real analysis is intended for
honours undergraduates, who have already been exposed to calculus.
The emphasis is on rigour and on foundations. The material starts
at the very beginning - the construction of the number systems
and set theory, then goes onto the basics of analysis (limits,
series, continuity, differentiation, Riemann integration),
through to power series, several variable calculus and Fourier
analysis, and finally to the Lebesgue integral. These are almost
entirely set in the concrete setting of the real line and
Euclidean spaces, although there is some material on abstract
metric and topological spaces. There are also appendices on
mathematical logic and the decimal system.
The course material is deeply intertwined with the exercises, as
it is intended for the student to actively learn the material and
to practice thinking and writing rigorously.
Contents
Volume 2
12 Metric spaces
13 Continuous functions on metric spaces
14 Uniform convergence
15 Power series
16 Fourier series
17 Several variable differential calculus
18 Lebesgue measure
19 Lebesgue integration
Index