Book Description

This encyclopedia contains more than 5000 integer sequences, over half of which have never before been catalogued. Because the sequences are presented in the most natural form, and arranged for easy reference, this book is easier to use than the authors earlier classic A Handbook of Integer Sequences<$>. The Encyclopedia<$> gives the name, mathematical description, and citations to literature for each sequence. Following sequences of particular interest, thereare essays on their origins, uses, and connections to related sequences (all cross-referenced). A valuable new feature to this text is the inclusion of a number of interesting diagrams and illustrations related to selected sequences.

The initial chapters are both amusing and enlightening. They serve as a delightful introduction to the subject and a short course on how to identify and work with integer sequences. This encyclopedia brings Sloanes ground-breaking Handbook<$> up to date, more than doubling its size, and linking both the old and the new material to an extensive bibliography (over 25 pages long), of current and classic references. An index to all the sequences in the book is also available separately on disk in Macintosh and IBM formats.

Key Features
* Contains more than 5000 integer sequences
* Gives the name and mathematical description of each sequence
* Provides citations to literature for each sequence
* Extensively cross-referenced
* Lists a bibliography of more than 25 pages ... Read more

Reviews (4)

Searching for the book vs. the disk?
The Encyclopedia of Integer Sequences is available in three formats. Sellers often incorrectly match the ISBN to the format. It may be helpful to know the ISBN, rather than to rely on the results of a search using Title/Author.

Hardcover Book: ISBN 0125586302
Macintosh Disk: ISBN 0125586310
MSDOS/IBM Disk: ISBN 0125586329

Also, use the price as a clue to which item you will be receiving - the book sells for [$]+, the disk for under [$].

This is a data disk, not the book
This product is not the Encyclopedia of Integer Sequences as it is portrayed here on Amazon; it is instead an almost useless data disk. The integer sequences are there all right, in lexicograhic order; but they are completely unidentified (except for a code number keyed to the book)! In other words, without the book this very expensive diskette is useless.

Basically I consider this to be false advertising. Do not buy it unless you already have the book and want a machine-readable, searchable copy of the sequences.

My God!
Since combinatorics is my major, this book fulfills my dream. It contains over 5000 sequences, from famous Fibonacci to notorious 1,3,6,11,17,25,... (Perfect ruler,general term still unknown ), to nonsense 1,11,21,1211,111221,..(every term describe the former term). Nearly every important integer sequence in mathematics get a line here, with references. This is a dream book for combinatorics specialists, a must for high-school teachers while doing some short essays with gifted students, a fun book for mathematics fans, especially those like mathematical games.

The book is a compilation of all important sequences in math
This is a compilation of 5488 sequences in more than 8000 references. Each sequence comes with a description, formula, generating function (if known). It is an essential reference book for all researchers in mathematics in general. There are 2 parts, the first part consist of 3 chapters that explain how to 'crack' a sequence and what are the main methods for doing so. The second part is the huge list of all the sequences. The book comes with a diskette and an comprehensive index + complete bibliography. An enthusiastic reader once said that : 'There is the Old Testament, the New Testament and the Encyclopedia of Integer Sequences.' ... Read more

Book Description

This book considers problems of optimization arising in the design of electromagnetic radiators and receivers. The authors develop a systematic general theory that can be applied to a wide class of structures. The theory is illustrated with familiar, simple examples and indications of how the results can be applied to more complicated structures. The final chapter introduces techniques from multicriteria optimization in antenna design. The material is intended for a dual audience of mathematicians and mathematically-sophisticated engineers. References to both the mathematics and engineering literature help guide the reader through the necessary mathematical background. ... Read more

Book Description

What is the relationship between modern mathematics - more precisely computational mathematics - and mathematical education? It is this controversal topic that the authors address with an in-depth analysis. In fact, what they present in an extremely well-reasoned account of the development of mathematics and its culture giving concrete recommendation for a much-needed reform of the teaching of mathematics. The book is essential reading for everybody involved in mathematics and science, and mathematics teaching. ... Read more

Book Description

This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates. ... Read more

Book Description

Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.

Book Description

Bayesian Nonparametrics via Neural Networks is the first book to focus on neural networks in the context of nonparametric regression and classification, working within the Bayesian paradigm. Its goal is to demystify neural networks, putting them firmly in a statistical context rather than treating them as a black box. This approach is in contrast to existing books, which tend to treat neural networks as a machine learning algorithm instead of a statistical model. Once this underlying statistical model is recognized, other standard statistical techniques can be applied to improve the model.

The Bayesian approach allows better accounting for uncertainty. This book covers uncertainty in model choice and methods to deal with this issue, exploring a number of ideas from statistics and machine learning. A detailed discussion on the choice of prior and new noninformative priors is included, along with a substantial literature review. Written for statisticians using statistical terminology, Bayesian Nonparametrics via Neural Networks will lead statisticians to an increased understanding of the neural network model and its applicability to real-world problems.

To illustrate the major mathematical concepts, the author uses two examples throughout the book: one on ozone pollution and the other on credit applications. The methodology demonstrated is relevant for regression and classification-type problems and is of interest because of the widespread potential applications of the methodologies described in the book. ... Read more

Book Description

Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.

This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

An expanded treatment of Gaussian elimination incorporates rook pivoting, along with a thorough discussion of the choice of pivoting strategy and the effects of scaling. The book's detailed descriptions of floating point arithmetic and of software issues reflect the fact that IEEE arithmetic is now ubiquitous.

Although not designed specifically as a textbook, this new edition is a suitable reference for an advanced course. It can also be used by instructors at all levels as a supplementary text from which to draw examples, historical perspective, statements of results, and exercises. With its thorough indexes and extensive, up-to-date bibliography, the book provides a mine of information in a readily accessible form. ... Read more

Book Description

Many books teach computational statistics. Until now, however, none has shown how to write a good program. This book gives statisticians, biostatisticians and methodologically-oriented researchers the tools they need to develop high-quality statistical software.

Topics include how to:

Program in Fortran 95 using a pseudo object-oriented style

Write accurate and efficient computational procedures

Create console applications

Build dynamic-link libraries (DLLs) and Windows-based software components

Develop graphical user interfaces (GUIs)

Through detailed examples, readers are shown how to call Fortran procedures from packages including Excel, SAS, SPSS, S-PLUS, R, and MATLAB. They are even given a tutorial on creating GUIs for Fortran computational code using Visual Basic.NET.

This book is for those who want to learn how to create statistical applications quickly and effectively. Prior experience with a programming language such as Basic, Fortran or C is helpful but not required. More experienced programmers will learn new strategies to harness the power of modern Fortran and the object-oriented paradigm. This may serve as a supplementary text for a graduate course on statistical computing.

Book Description

This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The progress in the field over the last thirty years has greatly enhanced the original theory and has stimulated interesting and critical gas dynamic phenomena and problems. 'Molecular Gas Dynamics,' unique in the literature, presents working knowledge, theory, techniques, and typical phenomena in rarefied gases for theoretical development and application. Basic theory is developed in a systematic way and presented in a form easily applied for practical use. After presenting various simple flows, such as unidirectional or quasi-unidirectional flows, and flows around a sphere, the author discusses additional topics, including: * flows induced by temperature fields, which are typical in rarefied gases * flows with evaporation and condensation * bifurcation of flows in rarefied gases * the ghost effect in gases in the continuum limit An appendix contains many useful fundamental formulas, as well as an explanation of the theoretical background of the direct simulation Monte Carlo method (DSMC method), easily accessible to non-mathematicians, which is not found elsewhere in the literature. Discovery of the ghost effect has made molecular gas dynamics indispensable to the study of a gas in the continuum limit, which is traditionally treated by classical fluid dynamics. In this work, the ghost effect and non-Navier–Stokes effects are demonstrated for typical examples—Bénard and Taylor–Couette problems—in the context of a new framework. A new type of ghost effect is also discussed, and a long-standing problem—bifurcation of the plane Couette flow in classical fluid dynamics—is resolved.The book is useful for those working in different communities where kinetic theory or fluid dynamics is important: graduate students, researchers, and practitioners in theoretical physics, applied mathematics, and various branches of engineering. The work may be used as a self-study reference or as a textbook in graduate-level courses in fluid dynamics, gas dynamics, molecular gas dynamics, kinetic theory, and applied mathematics. ... Read more

Book Description

Number and geometry are the foundations upon which mathematics has been built over some 3000 years. This book is concerned with the logical foundations of number systems from integers to complex numbers. The author has chosen to develop the ideas by illustrating the techniques used throughout mathematics rather than using a self-contained logical treatise. The idea of proof has been emphasised, as has the illustration of concepts from a graphical, numerical and algebraic point of view. Having laid the foundations of the number system, the author has then turned to the analysis of infinite processes involving sequences and series of numbers, including power series. The book also has worked examples throughout and includes some suggestions for self-study projects. In addition there are tutorial problems aimed at stimulating group work and discussion. ... Read more

Book Description

Fluid flow through small channels has become a popular research topic due to the emergence of biochemical lab-on-the-chip systems and microelectromechanical system fabrication technologies, which began in the late 1980's. There has been significant progress in the development of microfluidics and nanofluidics both at the application as well as at the fundamental and simulation levels in the last few years. This book provides a comprehensive summary of using computational tools to describe fluid flow in micro and nano configuration. This new version of the original book now covers length scales from Angstroms to microns (and beyond). The authors have maintained the emphasis on fundamental concepts with a mix of semianalytical, experimental and numerical results, and have outlined their relevance to modeling and analyzing functional devices. The material is divided into the three main categories of gas flows, liquid flows, and simulation techniques. The book contains many new developments and information has been updated and modified throughout.&nbsp; It is appropriate for researchers in fluid mechanics interested in this new flow field as well as for electrical or mechanical engineers or physicists who need to incorporate flow modeling into their work.Reviews for original "Microflows and Nanoflows": "For those who want to compute flows at the micro scale, this monograph is a must. It describes the state of the art and helps by providing coefficients, such as [are] needed in situations of slip. Those who wonder what new fluid dynamics there is in the microworld are served by the overview of theory and treasures of numerical methods." – European Journal of Mechanics B/Fluids "It is a well-written book which should prove beneficial to the researchers in the field" – Zentralblatt fur Mathematik ... Read more

Reviews (2)

The Book on MicroFlows
I was fortunate enough to be given a chance to read the manuscript of this book about a year before it was published.I was looking for a source of general information on fluid issues in MEMS in order to acquaint myself with the subject.Even though many research papers are out there, the new reader to the field needs to be given a solid starting point.Being a well-written research monograph, this is that solid starting point for those who have a grasp of traditional fluid mechanics and want to enhance that understanding for research into MEMS devices and flows encountered at micron scale and below.
Now that the book is printed, I used it as the main source of reading for an Indep. Study course for a graduate student who started his PhD studies recently.
The book also provides a wealth of references that will assist the reader to get a deeper understanding of the specific subject.

Review of Microflows
This is an excellent book and I recommend this to any one interested in microfluidics, MEMS or nanotechnology. To my knowledge, this is the first book on microfluidics. The chapters on gas flows, electrokinetically driven liquid flows and on numerical methods for continuum and atomistic simulation are very interesting. ... Read more