Due 2019-01-07
1st ed. 2018, VII, 262 p. 15 illus.
Softcover
ISBN 978-3-030-03240-1
Provides a self-contained introduction to abstract measure theory and
integration
Includes full solutions to the exercises
Discusses fuzzy measures and unconditional sums
This undergraduate textbook offers a self-contained and concise introduction to measure
theory and integration. The author takes an approach to integration based on the notion of
distribution. This approach relies on deeper properties of the Riemann integral which may not
be covered in standard undergraduate courses. It has certain advantages, notably simplifying
the extension to "fuzzy" measures, which is one of the many topics covered in the book. This
book will be accessible to undergraduate students who have completed a first course in the
foundations of analysis. Containing numerous examples as well as fully solved exercises, it is
exceptionally well suited for self-study or as a supplement to lecture courses.
Due 2019-02-22
1st ed. 2019, X, 306 p. 11 illus.
Hardcover
ISBN 978-1-4939-9050-4
Features important perspectives on computational discovery and
computational epistemology, and presents them in an accessible way
Contains state of the art discussions by experts on a broad collection of topics
that includes pure and applied mathematics, computer science, and
philosophy of science
Offers new and useful ways to contextualize the issues of reliability and
reproducible of computation
Contributes to building a network of scholars from varied backgrounds with
interests in the multifaceted field of computational mathematics and
epistemology
ACMES (Algorithms and Complexity in Mathematics, Epistemology, and Science) is a
multidisciplinary conference series that focuses on epistemological and mathematical issues
relating to computation in modern science. This volume includes a selection of papers
presented at the 2015 and 2016 conferences held at Western University that provide an
interdisciplinary outlook on modern applied mathematics that draws from theory and practice,
and situates it in proper context. These papers come from leading mathematicians,
computational scientists, and philosophers of science, and cover a broad collection of
mathematical and philosophical topics, including numerical analysis and its underlying
philosophy, computer algebra, reliability and uncertainty quantification, computation and
complexity theory, combinatorics, error analysis, perturbation theory, experimental mathematics,
scientific epistemology, and foundations of mathematics. By bringing together contributions
from researchers who approach the mathematical sciences from different perspectives, the
volume will further readers' understanding of the multifaceted role of mathematics in modern
science, informed by the state of the art in mathematics, scientific computing, and current
modeling techniques.
Due 2019-01-18
1st ed. 2018, X, 470 p. 50 illus., 42 illus. in color.
Hardcover
ISBN 978-3-030-03857-1
Provides clear introduction to the chemical basis and important theorems of
chemical reaction network theory
Maximizes reader insights into powerful and wide-ranging theorems of
chemical reaction network theory for use in a variety of applications
Summarizes the latest studies of chemical reaction network theory and covers
many different applications while additionally providing mathematicians with
access to (and motivation for) the more difficult underlying arguments for the
theory
Equips readers to begin contributing to chemical reaction network theory
This book provides an authoritative introduction to the rapidly growing field of chemical
reaction network theory. In particular, the book presents deep and surprising theorems that
relate the graphical and algebraic structure of a reaction network to qualitative properties of
the intricate system of nonlinear differential equations that the network induces. Over the
course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics
of reaction network theory, to a survey of some of its principal theorems, and, finally, to a
discussion of the theory’s more technical aspects. Written with great clarity, this book will be of
value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and
engineers who want to contribute to chemical reaction network theory or make use of its
powerful results.
Due 2019-01-31
2018, X, 265 p. 73 illus., 60 illus. in color.
Softcover
ISBN 978-3-030-02585-4
A Modelling and Pattern Formation Approach
Discusses various hyperbolic and kinetic mathematical models for stationary
and moving biological/ecological aggregations formed in response to local
and nonlocal social interactions
Demonstrates how stability and bifurcation theory combined with numerical
simulations can be used to investigate and classify the spatio-temporal
patterns displayed by these mathematical models
Includes real-world examples
This book focuses on the spatio-temporal patternsgenerated by twoclasses of mathematical
models (of hyperbolicand kinetic types) that havebeen increasingly used in the past several
years to describe various biological andecological communities. Here we combine an overview
of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria
thatinteractlocally and non-locally, with analytical and numericalmathematical techniquesthat
can be used to investigate the spatio-temporal patterns produced by said individuals/cells
/bacteria. Richly illustrated, the book offers a valuable guide for researchers new tothefield, and
is also suitable as a textbook for seniorundergraduateor graduate students in mathematics or
related disciplines.
Due 2019-01-16
2018, X, 370 p. 103illus., 30 illus. in color.
With online files/update.
Hardcover
ISBN 978-3-030-02939-5
Self-contained introduction to signal processing and wavelets assuming only
a linear algebra background
Hands-on introduction to important concepts using computational and
interactive examples and exercises
Strong rooting of the developed theory in terms of practical applications to
sound and images
This book offers a user friendly, hands-on, and systematic introduction to applied and
computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to
their interplay and applications. The approach is novel, and the book can be used in
undergraduate courses, for example, following a first course in linear algebra, but is also
suitable for use in graduate level courses. The book will benefit anyone with a basic
background in linear algebra. It defines fundamental concepts in signal processing and wavelet
theory, assuming only a familiarity with elementary linear algebra. No background in signal
processing is needed. Additionally, the book demonstrates in detail why linear algebra is often
the best way to go. Those with only a signal processing background are also introduced to the
world of linear algebra, although a full course is recommended. The book comes in two
versions: one based on MATLAB, and one on Python, demonstrating the feasibility and
applications of both approaches. Most of the code is available interactively. The applications
mainly involve sound and images. The book also includes a rich set of exercises, many of
which are of a computational nature.
Due 2019-02-11
2018, X, 429 p.
Hardcover
ISBN 978-3-030-02461-1
Presents new and ingenious derivations for classical and original problems
Contains over 500 worked problems
Includes ‘Hints’ sections to guide the reader toward obtaining a solution or to
more information about a problem
This book contains a multitude of challenging problems and solutions that are not commonly
found in classical textbooks. One goal of the book is to present these fascinating mathematical
problems in a new and engaging way and illustrate the connections between integrals, sums,
and series, many of which involve zeta functions, harmonic series, polylogarithms, and various
other special functions and constants. Throughout the book, the reader will find both classical
and new problems, with numerous original problems and solutions coming from the personal
research of the author. Where classical problems are concerned, such as thosegiven in
Olympiads or proposed by famous mathematicians like Ramanujan,the author has come up
with new, surprising or unconventional ways of obtaining the desired results. The book begins
with a lively foreword by renowned author Paul Nahin and is accessible to those with a good
knowledge of calculus from undergraduate students to researchers, and will appeal to all
mathematical puzzlers who love a good integral or series.