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Books > Academic & Education > Professional & Technical > Mathematics
Topology, for many years, has been one of the most exciting and
influential fields of research in modern mathematics. Although its
origins may be traced back several hundred years, it was Poincare
who "gave topology wings" in a classic series of articles published
around the turn of the century. While the earlier history,
sometimes called the prehistory, is also considered, this volume is
mainly concerned with the more recent history of topology, from
Poincare onwards.
'Numbers and Proofs' presents a gentle introduction to the notion
of proof to give the reader an understanding of how to decipher
others' proofs as well as construct their own. Useful methods of
proof are illustrated in the context of studying problems
concerning mainly numbers (real, rational, complex and integers).
An indispensable guide to all students of mathematics. Each proof
is preceded by a discussion which is intended to show the reader
the kind of thoughts they might have before any attempt proof is
made. Established proofs which the student is in a better position
to follow then follow.
What would you like to do with your life? What career would allow you to fulfill your dreams of success? If you like mathematics-and the prospect of a highly mobile, international profession-consider becoming an actuary. Szabo s "Actuaries Survival Guide, Second Edition" explains what
actuaries are, what they do, and where they do it. It describes
exciting combinations of ideas, techniques, and skills involved in
the day-to-day work of actuaries. This second edition has been
updated to reflect the rise of social networking and the internet,
the progress toward a global knowledge-based economy, and the
global expansion of the actuarial field that has occurred since the
first edition.
Probability is relevant to so many different subject areas that its
importance as a mathematical technique cannot be underestimated.
This book provides a comprehensive, user-friendly introduction to
the subject. The step-by-step approach taken by the author allows
students to develop knowledge at their own pace and, by working
through the numerous exercises, they are ensured a full
understanding of the material before moving on to more advanced
sections. Traditional examples of probablistic theory, such as
coins and dice, are included but the author has also used many
exercises based on real-life problems. The result is an
introduction to probability that avoids the overly confusing,
theoretical approach often adopted in this area, and provides a
simple and concise text that will be invaluable to all studying
first and second year courses on the subject.
This first part presents chapters on models of computation,
complexity theory, data structures, and efficient computation in
many recognized sub-disciplines of Theoretical Computer Science.
This book considers classical and current theory and practice, of supervised, unsupervised and semi-supervised pattern recognition, to build a complete background for professionals and students of engineering. The authors, leading experts in the field of pattern recognition, have provided an up-to-date, self-contained volume encapsulating this wide spectrum of information. The very latest methods are incorporated in this edition: semi-supervised learning, combining clustering algorithms, and relevance feedback. . Thoroughly developed to include many more worked examples to give greater understanding of the various methods and techniques . Many more diagrams included--now in two color--to provide greater insight through visual presentation . Matlab code of the most common methods are given at the end of each chapter. . More Matlab code is available, together with an accompanying manual, via this site . Latest hot topics included to further the reference value of the text including non-linear dimensionality reduction techniques, relevance feedback, semi-supervised learning, spectral clustering, combining clustering algorithms. . An accompanying book with Matlab code of the most common
methods and algorithms in the book, together with a descriptive
summary, and solved examples including real-life data sets in
imaging, and audio recognition. The companion book will be
available separately or at a special packaged price (ISBN:
9780123744869).
Techniques of physics find wide application in biology, medicine, engineering and technology generally. This series is devoted to techniques which have found and are finding application. The aim is to clarify the principles of each technique, to emphasize and illustrate the applications and to draw attention to new fields of possible employment.
Unlike books currently on the market, this book attempts to satisfy
two goals: combine circuits and electronics into a single, unified
treatment, and establish a strong connection with the contemporary
world of digital systems. It will introduce a new way of looking
not only at the treatment of circuits, but also at the treatment of
introductory coursework in engineering in general.
The second edition of this text has sold over 6,000 copies since
publication in 1986 and this revision will make it even more
useful. This is the only book available that is approachable by
"beginners" in this subject. It has become an essential
introduction to the subject for mathematics students, engineers,
physicists, and economists who need to learn how to apply these
vital methods. It is also the only book that thoroughly reviews
certain areas of advanced calculus that are necessary to understand
the subject.
An Introduction to Non-Harmonic Fourier Series, Revised Edition is
an update of a widely known and highly respected classic textbook.
A collection of problems and solutions in real analysis based on
the major textbook, "Principles of Real Analysis" (also by
Aliprantis and Burkinshaw), "Problems in Real Analysis" is the
ideal companion for senior science and engineering undergraduates
and first-year graduate courses in real analysis. It is intended
for use as an independent source, and is an invaluable tool for
students who wish to develop a deep understanding and proficiency
in the use of integration methods.
Chapter 1 presents theorems on differentiable functions often used
in differential topology, such as the implicit function theorem,
Sard's theorem and Whitney's approximation theorem.
In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.
"Engineering Materials 2" is one of the leading self-contained texts for more advanced students of materials science and mechanical engineering. The book provides a concise introduction to the microstructures and processing of materials and shows how these are related to the properties required in engineering design. As with previous editions, each chapter is designed to provide the content of one 50-minute lecture. The fourth edition has been updated to include new case studies, more worked examples, links to relevant websites and video clips. Other changes include an increased emphasis on the relationship between structure, processing and properties, and integration of the popular tutorial on phase diagrams into the main text. "Engineering Materials 2, Fourth Edition" is perfect as a
stand-alone text for an advanced course in engineering materials or
a second text with its companion "Engineering Materials 1: An
Introduction to Properties, Applications, and Design, Fourth
Edition" in a two-semester course or sequence.
Probability theory is a rapidly expanding field and is used in
many areas of science and technology. Beginning from a basis of
abstract analysis, this mathematics book develops the knowledge
needed for advanced students to develop a complex understanding of
probability. The first part of the book systematically presents
concepts and results from analysis before embarking on the study of
probability theory. The initial section will also be useful for
those interested in topology, measure theory, real analysis and
functional analysis. The second part of the book presents the
concepts, methodology and fundamental results of probability
theory. Exercises are included throughout the text, not just at the
end, to teach each concept fully as it is explained, including
presentations of interesting extensions of the theory. The complete
and detailed nature of the book makes it ideal as a reference book
or for self-study in probability and related fields.
Hirsch, Devaney, and Smale s classic "Differential Equations,
Dynamical Systems, and an Introduction to Chaos" has been used by
professors as the primary text for undergraduate and graduate level
courses covering differential equations. It provides a theoretical
approach to dynamical systems and chaos written for a diverse
student population among the fields of mathematics, science, and
engineering. Prominent experts provide everything students need to
know about dynamical systems as students seek to develop sufficient
mathematical skills to analyze the types of differential equations
that arise in their area of study. The authors provide rigorous
exercises and examples clearly and easily by slowly introducing
linear systems of differential equations. Calculus is required as
specialized advanced topics not usually found in elementary
differential equations courses are included, such as exploring the
world of discrete dynamical systems and describing chaotic
systems.
The second edition of "A Course in Real Analysis" provides a
solid foundation of real analysis concepts and principles,
presenting a broad range of topics in a clear and concise manner.
The book is excellent at balancing theory and applications with a
wealth of examples and exercises. The authors take a progressive
approach of skill building to help students learn to absorb the
abstract. Real world applications, probability theory, harmonic
analysis, and dynamical systems theory are included, offering
considerable flexibility in the choice of material to cover in the
classroom. The accessible exposition not only helps students master
real analysis, but also makes the book useful as a reference.
"A Concrete Approach to Abstract Algebra"begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students.The text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics wich arise in courses in algebra, geometry, trigonometry, precalculus and calculus. The final four chapters presentthe more theoretical material needed for graduate study. Ancillary list: * Online ISM- http:
//textbooks.elsevier.com/web/manuals.aspx?isbn=9780123749413 *
Online SSM- http:
//www.elsevierdirect.com/product.jsp?isbn=9780123749413 * Ebook-
http: //www.elsevierdirect.com/product.jsp?isbn=9780123749413 "
The book is designed for researchers, students and practitioners
interested in using fast and efficient iterative methods to
approximate solutions of nonlinear equations. The following four
major problems are addressed. Problem 1: Show that the iterates are
well defined. Problem 2: concerns the convergence of the sequences
generated by a process and the question of whether the limit points
are, in fact solutions of the equation. Problem 3: concerns the
economy of the entire operations. Problem 4: concerns with how to
best choose a method, algorithm or software program to solve a
specific type of problem and its description of when a given
algorithm succeeds or fails. The book contains applications in
several areas of applied sciences including mathematical
programming and mathematical economics. There is also a huge number
of exercises complementing the theory.
Since its inception in the famous 1936 paper by Birkhoff and von
Neumann entitled "The logic of quantum mechanics" quantum logic,
i.e. the logical investigation of quantum mechanics, has undergone
an enormous development. Various schools of thought and approaches
have emerged and there are a variety of technical results.
This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton s, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincent s method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation of polynomials, including parallel methods and errors. There are pointers to robust and efficient programs. In short, it could be entitled A Handbook of Methods for Polynomial Root-finding . This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.
"
The book is an almost self-contained presentation of the most
important concepts and results in viability and invariance. The
viability of a set K with respect to a given function (or
multi-function) F, defined on it, describes the property that, for
each initial data in K, the differential equation (or inclusion)
driven by that function or multi-function) to have at least one
solution. The invariance of a set K with respect to a function (or
multi-function) F, defined on a larger set D, is that property
which says that each solution of the differential equation (or
inclusion) driven by F and issuing in K remains in K, at least for
a short time.
The book is meant to serve two purposes. The first and more obvious
one is to present state of the art results in algebraic research
into residuated structures related to substructural logics. The
second, less obvious but equally important, is to provide a
reasonably gentle introduction to algebraic logic. At the
beginning, the second objective is predominant. Thus, in the first
few chapters the reader will find a primer of universal algebra for
logicians, a crash course in nonclassical logics for algebraists,
an introduction to residuated structures, an outline of
Gentzen-style calculi as well as some titbits of proof theory - the
celebrated Hauptsatz, or cut elimination theorem, among them. These
lead naturally to a discussion of interconnections between logic
and algebra, where we try to demonstrate how they form two sides of
the same coin. We envisage that the initial chapters could be used
as a textbook for a graduate course, perhaps entitled Algebra and
Substructural Logics.
This volume is a collection of surveys of research problems in
topology and its applications. The topics covered include general
topology, set-theoretic topology, continuum theory, topological
algebra, dynamical systems, computational topology and functional
analysis.
This Handbook covers latent variable models, which are a flexible
class of models for modeling multivariate data to explore
relationships among observed and latent variables. |
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