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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Practical Time-Frequency Analysis

      • 1st Edition
      • Volume 9
      • August 27, 1998
      • Rene Carmona + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 3 8 8 5 6 9 2
      • eBook
        9 7 8 0 0 8 0 5 3 9 4 2 3
      Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis provides a set of useful tools in the form of a library of S functions, downloadable from the authors' Web sites in the United States and France.

    • Advanced Applied Finite Element Methods

      • 1st Edition
      • September 1, 1998
      • Carl T. F. Ross
      • English
      • Hardback
        9 7 8 1 8 9 8 5 6 3 5 1 8
      • eBook
        9 7 8 0 8 5 7 0 9 9 7 5 4
      This book is aimed at senior undergraduates, graduates and engineers. It fills the gap between the numerous textbooks on traditional Applied Mechanics and postgraduate books on Finite Element Methods.

    • Handbook of Fourier Transform Raman and Infrared Spectra of Polymers

      • 1st Edition
      • Volume 45
      • October 29, 1998
      • A.H. Kuptsov + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 8 2 6 2 0 6
      • Paperback
        9 7 8 0 4 4 4 5 4 3 6 9 1
      • eBook
        9 7 8 0 0 8 0 5 3 1 9 4 6
      A collection of infrared and Raman spectra of 500 natural and synthetic polymers of industrial importance is presented in this book. A large variety of compounds are included, starting with linear polyolefins and finishing with complex biopolymers and related compounds. The spectra were registered using Infrared Fourier Transform Spectrometers in the laboratory of the All-Russia Institute of Forensic Sciences. The IR and Raman spectra are presented together on the same sheet. The accompanying data include general and structure formulae, CAS register numbers, and sample preparation conditions.Features of this book:• Continues the long tradition of publishing specific and standard data of new chemical compounds.• For low-molecular weight substances, complementary IR and Raman spectra are featured on the same sample and printed on the same page. This "fingerprint" data allows the substance of the sample to be identified without doubt.• An important feature of this unique collection of data is the increase in the identification precision of unknown substances.• Peak tables are available in digital (ASCII) format, on a diskette delivered with the book. This allows the user to search for unknowns.• All the spectra in the collection are base-line corrected.This book will be of interest to scientists involved in the synthesis of new polymeric materials, polymer identification, and quality control. Libraries of scientific institutes, research centers, and universities involved in vibrational spectroscopy will also find this collection invaluable.

    • Problems in Real Analysis

      • 2nd Edition
      • October 7, 1998
      • Charalambos D. Aliprantis + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 3 9 1 0 9 8 1
      • Hardback
        9 7 8 0 1 2 0 5 0 2 5 3 0
      • eBook
        9 7 8 0 0 8 0 5 7 3 1 8 2
      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. Problems in Real Analysis teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in Principles of Real Analysis, Third Edition. The problems are distributed in forty sections, and cover the entire spectrum of difficulty.

    • Chaos and Fractals

      • 1st Edition
      • August 3, 1998
      • C.A. Pickover
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 3 7 3 8
      • Hardback
        9 7 8 0 4 4 4 5 0 0 0 2 1
      • eBook
        9 7 8 0 0 8 0 5 2 8 8 6 1
      These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art.Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art.Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

    • Recursive Model Theory

      • 1st Edition
      • Volume 1
      • November 30, 1998
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 4 2 4 7
      • eBook
        9 7 8 0 0 8 0 5 3 3 6 9 8

    • Stream Ciphers and Number Theory

      • 1st Edition
      • Volume 55
      • April 20, 1998
      • T.W. Cusick + 2 more
      • English
      • eBook
        9 7 8 0 0 8 0 5 4 1 8 4 6
      This book is almost entirely concerned with stream ciphers, concentrating on a particular mathematical model for such ciphers which are called additive natural stream ciphers. These ciphers use a natural sequence generator to produce a periodic keystream. Full definitions of these concepts are given in Chapter 2.This book focuses on keystream sequences which can be analysed using number theory. It turns out that a great deal of information can be deducted about the cryptographic properties of many classes of sequences by applying the terminology and theorems of number theory. These connections can be explicitly made by describing three kinds of bridges between stream ciphering problems and number theory problems. A detailed summary of these ideas is given in the introductory Chapter 1.Many results in the book are new, and over seventy percent of these results described in this book are based on recent research results.

    • Mathematical Elasticity

      • 1st Edition
      • Volume 27
      • July 22, 1997
      • English
      • Hardback
        9 7 8 0 4 4 4 8 2 5 7 0 4
      • Paperback
        9 7 8 0 4 4 4 5 5 2 1 7 4
      • eBook
        9 7 8 0 0 8 0 5 3 5 9 1 3
      The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established.In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Kármán equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.

    • Inequalities for Differential and Integral Equations

      • 1st Edition
      • Volume 197
      • November 12, 1997
      • English
      • Hardback
        9 7 8 0 1 2 5 4 3 4 3 0 0
      • eBook
        9 7 8 0 0 8 0 5 3 4 6 4 0
      Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.

    • Advances in Computers

      • 1st Edition
      • Volume 45
      • August 19, 1997
      • English
      • Paperback
        9 7 8 0 1 2 4 0 1 5 3 3 3
      • eBook
        9 7 8 0 0 8 0 5 6 6 7 7 1
      Since its first volume in 1960, Advances in Computers has presented detailed coverage of innovations in hardware and software and in computer theory, design, and applications. It has also provided contributorswith a medium in which they can examine their subjects in greater depth and breadth than that allowed by standard journal articles. As a result, many articles have become standard references that continue to be of significant, lasting value despite the rapid growth taking place in the field.

Related subjects

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