Series: Probability Theory and Stochastic Modelling
Addresses both beginners and more experienced probabilists using a
rigorous mathematical treatment in a convivial style
Provides the theoretical details, yet is oriented toward applications
Covers both spatial point processes and point processes on the line
This book provides an introduction to the theory and applications of point processes, both in
time and in space. Presenting the two components of point process calculus, the martingale
calculus and the Palm calculus, it aims to develop the computational skills needed for the
study of stochastic models involving point processes, providing enough of the general theory
for the reader to reach a technical level sufficient for most applications. Classical and not-soclassical
models are examinedin detail, including Poisson?Cox, renewal, cluster and branching
(Kerstan?Hawkes) point processes.The applications coveredin this text (queueing, information
theory, stochastic geometry and signal analysis) have been chosen not only for their intrinsic
interest but also because they illustrate the theory. Written in a rigorous but not overly abstract
style, the book will be accessible to earnest beginners with a basic training in probability but
will also interest upper graduate students and experienced researchers.
1st ed. 2020, XIII, 556 p. 8 illus.
Hardcover
Provides a balance of general results and particular cases
First monograph on inverse problems which contains electrical impedance
tomography and the Factorization Method
Presents new and expanded sections on nonlinear theory and nonlinear
inverse problems
Includes updated examples
This graduate-level textbook introduces the reader to the area of inverse problems, vital to
many fields including geophysical exploration, system identification, nondestructive testing, and
ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with
illposed problems, analyzing basic properties of regularization methods for ill-posed problems
via several simple analytical and numerical examples. The book also presents three special
nonlinear inverse problems in detail: the inverse spectral problem, the inverse problem of
electrical impedance tomography (EIT), and the inverse scattering problem.The corresponding
direct problemsare studied with respect to existence, uniqueness, and continuous dependence
on parameters. Ultimately, the text discusses theoretical results as well as numerical
procedures for the inverse problems, including many exercises and illustrations to complement
coursework in mathematics and engineering. This updated text includes a new chapter on the
theory of nonlinear inverse problems in response to the fieldfs growing popularity, as well as a
new section on the interior transmission eigenvalue problem which complements the SturmLiouville
problem and which has received great attention since the previous edition was published.
3rd ed. 2020, XVI, 395 p. 12 illus.
Hardcover
Series: Applied Mathematical Sciences
It is a compact presentation of second order linear PDEs
Variational formulations are fully described
Include saddle-point formulation of elliptic PDEs
This textbook is devoted to second order linear partial differential equations. The focus is on
variational formulations in Hilbert spaces. It contains elliptic equations, including some basic
results on Fredholm alternative and spectral theory, some useful notes on functional analysis,
a brief presentation of Sobolev spaces and their properties, saddle point problems, parabolic
equations and hyperbolic equations. Many exercises are added, and the complete solution of all
of them is included.The work is mainly addressed to students in Mathematics, but also
students in Engineering with a good mathematical background should be able to follow the
theory presented here
Due 2021-01-14
1st ed. 2020, XIII, 235 p. 14 illus., 4 illus. in color.
Softcover
ISBN 978-3-030-58204-3
Product category : Graduate/advanced undergraduate textbook
Series : La Matematica per il 3+2
Mathematics : Partial Differential Equations
Provides a concise and accessible introduction to a selection of topics at the
intersection of differential geometry, differential equations, and mathematical
physics
Features lecture notes, surveys, and original research, ideal for pedagogical
use either independently or in the classroom
Covers a wide variety of topics, using both theoretical and applied approaches
This volume presents lectures given at the Wisa 19 Summer School: Differential Geometry,
Differential Equations, and Mathematical Physics, which took place from August 19 - 29th,
2019 in Wisa, Poland, and was organized by the Baltic Institute of Mathematics. The lectures
were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of
ordinary differential equations, and are included here as lecture notes comprising the first
three chapters. Following this, chapters combine theoretical and applied perspectives to explore
topics at the intersection of differential geometry, differential equations, and mathematical
physics. Specific topics covered include: Parabolic geometry Geometric methods for solving
PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real
gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations,
and Mathematical Physics is ideal for graduate students and researchers working in these
areas. A basic understanding of differential geometry is assumed.
Due 2021-02-21
1st ed. 2021, IV, 246 p. 29 illus., 20 illus. in color.
Hardcover
ISBN 978-3-030-63252-6
89,99 | CHF 118,00 | 99,99 ? |
Product category : Contributed volume
Series : Tutorials, Schools, and Workshops in the Mathematical Sciences
Mathematics : Partial Differential Equations
Presents papers by leading researchers in probability
Features a biographical note
Includes photographs
This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has
edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored
by friends and colleagues with research papers reflecting Vladas' interests and contributions to
probability theory.
Due 2021-02-25
1st ed. 2020, X, 590 p.
Hardcover
ISBN 978-3-030-60753-1
Product category : Contributed volume
Series : Progress in Probability
Mathematics : Probability Theory and Stochastic Processes