Due 2020-03-31
1st ed. 2020, XII, 375 p. 33 illus.
Hardcover
ISBN 978-3-030-35843-3
Series: Problem Books in Mathematics
Offers an extensive list of completely solved problems in mathematical analysis
Covers sets, functions, limits, derivatives, integrals, sequences and series, and more
Additional exercises at the end of each chapter provide rich material for independent study
This textbook offers an extensive list of completely solved problems in mathematical analysis.
This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and
series, to name a few. The series contains the material corresponding to the first three or four
semesters of a course in Mathematical Analysis. Based on the author’s years of teaching
experience, this work stands out by providing detailed solutions (often several pages long) to
the problems. The basic premise of the book is that no topic should be left unexplained, and
no question that could realistically arise while studying the solutions should remain
unanswered. The style and format are straightforward and accessible. In addition, each chapter
includes exercises for students to work on independently. Answers are provided to all
problems, allowing students to check their work. Though chiefly intended for early
undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to
students from other areas with an interest in Mathematical Analysis, either as supplementary
reading or for independent study
1st ed. 2020, XII, 197 p.
125 illus., 28 illus. in color.
Hardcover
ISBN 978-3-030-36102-0
Series: Understanding Complex Systems
Summarizes the results of analytical studies on dynamical chaos,
synchronization, and dynamic structures in systems of coupled rotators
Focuses on the dynamics of systems with a cylindrical phase space, also
referred to as rotators
Covers autonomous and nonautonomous systems with one, one-and-a-half,
and two or more degrees of freedom
Presents a classification system for dynamic structures that can arise in
systems with a large number of interconnected objects
This book develops analytical methods for studying the dynamical chaos, synchronization, and
dynamics of structures in various models of coupled rotators. Rotators and their systems are
defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have
a wider “range” of motion: There are vibrational and rotational types for cyclic variables, as well
as their combinations (rotational-vibrational) if the number of cyclic variables is more than one.
The specificity of rotator phase space poses serious challenges in terms of selecting methods
for studying the dynamics of related systems. The book chiefly focuses on developing a
modified form of the method of averaging, which can be used to study the dynamics of
rotators. In general, the book uses the “language” of the qualitative theory of differential
equations, point mappings, and the theory of bifurcations, which helps authors to obtain new
results on dynamical chaos in systems with few degrees of freedom. In addition, a special
section is devoted to the study and classification of dynamic structures that can occur in
systems with a large number of interconnected objects, i.e. in lattices of rotators and/or
oscillators.
Due 2020-03-09
1st ed. 2020, XVI, 240 p. 27 illus., 1 illus. in color.
Softcover
ISBN 978-3-030-36155-6
Series :La Matematica per il 3+2
- Collection of 250 exercises and preliminary exercises
- The notes on the relevant theory provide the reader with a readily available,
comprehensive reference
- The proposed exercises and carefully drafted solutions are organized by topic
This book, the first of two volumes, contains over 250 selected exercises in Algebra which have
featured as exam questions for the Arithmetic course taught by the authors at the University of
Pisa. Each exercise is presented together with one or more solutions, carefully written with
consistent language and notation. A distinguishing feature of this book is the fact that each
exercise is unique and requires some creative thinking in order to be solved. The themes
covered in this volume are: mathematical induction, combinatorics, modular arithmetic, Abelian
groups, commutative rings, polynomials, field extensions, finite fields. The book includes a
detailed section recalling relevant theory which can be used as a reference for study and
revision. A list of preliminary exercises introduces the main techniques to be applied in solving
the proposed exam questions. This volume is aimed at first year students in Mathematics and
Computer Science
Due 2020-03-20
1st ed. 2020, VIII, 205 p. 74 illus., 67 illus. in color.
Hardcover
ISBN 978-981-15-1156-1
Series: Springer Proceedings in Mathematics & Statistics
Collects research papers and survey articles on major topics in mathematical
analysis and its applications
Discusses recent advances in mathematical analysis, optimization, differential
equations, and graph theory
Presents analytical techniques to solve problems and derive numerical
solutions
This book collects original research papers and survey articles presented at the International
Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi
Technological University, India, on 23?25 October 2018. Divided into two volumes, it discusses
major topics in mathematical analysis and its applications, and demonstrates the versatility and
inherent beauty of analysis. It also shows the use of analytical techniques to solve problems
and, wherever possible, derive their numerical solutions. This volume addresses major topics,
such as multi-objective optimization problems, impulsive differential equations, mathematical
modelling, fuzzy mathematics, graph theory, and coding theory. It is a valuable resource to
students as well as researchers in mathematical sciences.
Due 2020-03-23
1st ed. 2020, XXXVI, 420 p.203 illus., 161 illus. in color.
Hardcover
ISBN 978-981-15-1337-4
Series :Springer Proceedings in Mathematics & Statistics
Contains state-of-the-art review papers contributed by well-known experts in
several areas of science and engineering
Provides advanced interdisciplinary approach by blending science,
mathematics, computer science and engineering
Is useful to researchers in the diverse areas of science and engineering,
ranging from applied and computational mathematics, computer science,
physics, chemistry, biology, aerospace, and medical sciences
This book contains original research papers presented at the International Conference on
Mathematical Modelling and Scientific Computing, held at the Indian Institute of Technology
Indore, India, on 19?21 July 2018. Organized into 30 chapters, the book presents the recent
progress and the most advanced innovations, trends, and real-world challenges encountered
and solutions embraced in the applications of mathematics and scientific computing. The book
will be of interests to a wide variety of researchers, students and the practicing engineers
working in diverse areas of science and engineering, ranging from applied and computational
mathematics, vibration problem, computer science, and numerical optimization to physics,
chemistry, biology, electrical, civil, mechanical, chemical, seismology, aerospace, and medical
sciences. The aim of the conference is to bring together leading academicians, scientists,
researchers, engineers, and industry partners from all over the globe to exchange and share
their experiences and research results on various aspects of applied mathematics and scientific
computation, like, differential equation, modeling, simulation, dynamical systems, numerical
analysis, matrix theory, inverse problems, and solid and fluid mechanics, computational
engineering.
Due 2020-03-30
1st ed. 2020, XXVII, 566 p. 18 illus.
Hardcover
ISBN 978-3-030-36781-7
Series: Springer Monographs in Mathematics
Complete updated self-contained book on the theory of semigroups
Can be used as a reference source for researchers and as an introductory
book for graduate students in complex analysis and iteration theory
Includes detailed chapters developing the Caratheodory prime ends topology
and on Gromov hyperbolicity theory in simply connected domains
The book faces the interplay among dynamical properties of semigroups, analytical properties
of infinitesimal generators and geometrical properties of Koenigs functions. The book includes
precise descriptions of the behavior of trajectories, backward orbits, petals and boundary
behavior in general, aiming to give a rather complete picture of all interesting phenomena that
occur. In order to fulfill this task, we choose to introduce a new point of view, which is mainly
based on the intrinsic dynamical aspects of semigroups in relation with the hyperbolic distance
and a deep use of Caratheodory prime ends topology and Gromov hyperbolicity theory. This
work is intended both as a reference source for researchers interested in the subject, and as
an introductory book for beginners with a (undergraduate) background in real and complex
analysis. For this purpose, the book is self-contained and all non-standard (and, mostly, all
standard) results are proved in details
Due 2020-03-16
1st ed. 2020, VIII, 156 p.
10 illus., 3 illus. in color.
ISBN 978-3-030-36290-4
Series :Applied and Numerical Harmonic Analysis
Showcases state-of-the-art advances and trends in sampling theory and its
related areas of application
Commemorates Claude Shannon’s 100th birthday by highlighting his
pioneering work in sampling theory
Builds on talks given at the 2015 Sampling Theory and Applications
(SampTA) conference
The chapters of this volume are based on talks given at the eleventh international Sampling
Theory and Applications conference held in 2015 at American University in Washington, D.C.
The papers highlight state-of-the-art advances and trends in sampling theory and related areas
of application, such as signal and image processing. Chapters have been written by prominent
mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude
Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights
Shannon’s profound influence on the field. The topics covered include both theory and
applications, such as: Compressed sensing Non-uniform and wave sampling A-to-D conversion
Finite rate of innovation Computational neuroscience Time-frequency analysis Operator theory
Mobile sampling issues Sampling: Theory and Applications is ideal for mathematicians,
engineers, and applied scientists working in sampling theory or related areas.