Operator Theory: Advances and Applications, vol.132
2002. 436 pages. Hardcover ISBN 3-7643-6790-3 English
This volume contains the proceedings of the Kovalevsky symposium held in Stockholm 2000.
The first part is devoted to the life of S. Kovalevsky, the first female professor of mathematics, who influenced the development of European science during the last century. Historical notes by G. Mittag-Leffler and copies of official documents related to her life as well as several articles on her life and mathematics are presented. The main articles by J.-E. Bjork describe her life and professorship at Stockholm university.
Part two of the volume contains 23 contributions in pure and applied mathematics, and in mathematical physics resulting from the lectures delivered within the program of the symposium.
2002. 468 pages. Hardcover ISBN 3-7643-6920-5 English
This volume contains a selection of invited papers, presented to the fourth International Conference on Statistical Data Analysis Based on the L1-Norm and Related Methods, held in Neuchatel, Switzerland, from August 4-9, 2002. The contributions represent a clear evidence to the importance of development of theory, methods and applications related to the statistical data analysis based on the L1-norm.
Covering a broad range of topics around statistical data analysis, the contents will be an essential resource for researchers, practitioners, and industrial statisticians. Several contributions will also be valuable for financial economists, environmental engineers and professionals in image processing.
The book is organized into seven thematic parts:
・All about quantiles ・Financial statistics and time series ・Estimation, testing and characterization ・Deep in the data ・Classification ・Density estimation and image processing ・Regression models in environmental studies
TM - Trends in Mathematics
2002. Approx. 560 pages. Hardcover ISBN 3-7643-6933-7 English
This is the second volume in a series of innovative proceedings entirely devoted to the connections between mathematics and computer science. Here mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep and innovative mathematical approaches.
The book serves as an outstanding tool and a main information source for a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers. It provides an overview of the current questions in computer science and the related modern and powerful mathematical methods. The range of applications is very wide and reaches beyond computer science.
The International Colloquium on Mathematics and Computer Science is a biennial event whose first edition took place at the University of Versailles-St-Quentin in 2000 and was acknowledged a success. The second colloquium was held on September 16-19, 2002, again in Versailles; its proceedings are gathered in this book. The importance of these regular meetings between researchers from mathematics and from computer science is now unanimously recognized by the two communities. The colloquium offers the opportunity to establish the state of the art and to present new trends, new ideas and new results in the common areas such as analysis of algorithms, trees, combinatorics, optimization, performance evaluation and probabilities.
This series of proceedings is the first one entirely devoted to the connections between mathematics and computer science.
2002. Approx. 330 pages. Softcover ISBN 0-8176-4270-6 English Due in August 2002
This basic text is written in a concise fashion for undergraduates at the freshman/sophomore level. Topics are presented sequentially: a brief review of sets and numbers is followed by an introduction to data sets, i.e., histograms, means and medians, and then an introduction to counting which goes to the Binomial Theorem. This provides the basis for elementary probability theory.
Graph study is defined, with an emphasis on its use in modeling. Matrices and vectors are discussed, along with several elementary commercial applications. An introduction to linear programming is presented.
Ample examples and illustrations are provided throughout. Each section contains two sets of problems, with around 10 problems in each set; solutions are given to only the first set.
This beginner's guide to finite math covers all the fundamentals with a minimum of fuss and has an applied orientation. The prerequisite for most of the book is two years of high school algebra. The text will be especially useful for business majors but should also satisfy the mathematics requirement for a number of liberal arts majors as well.
2002. 756 pages. Hardcover ISBN 3-7643-6260-X Latin / French / German Due in September 2002
This volume contains Daniel Bernoulli's most important work by far, the hustly famous Hydrodynamica. The new treatment of the flow of fluids presented here is almost entirely based on the energy principle and on the "principle of planar sections" that characterizes the incompressibility of a liquid. From these principles Bernoulli derives a host of results and discusses very carefully a series of experiments and technical applications.
Volume 5 of Daniel Bernoulli's Works includes the publication of his contributions to Fluid Dynamics. It contains seven of his papers which are linked in various ways to problems of fluid motion and which he wrote or completed in Basel after he left Petersburg.
The first text published in this volume is Daniel Bernoulli's letter to Johann Daniel Schopflin, which is an announcement of his yet unpublished treatise (1734). Here the word "Hydrodynamica" appears for the first time. Next follows Bernoulli's greatest and largest work: the famous Hydrodynamica. Bernoulli's separate paper on the impact of water jet on a plane obstacle follows this treatise. Two texts from the 18th century supplementing this part of the volume are closely linked to the subject of Bernoulli's Hydrodynamica: John Allan's little known paper (1730) on the reactive motion of vessels and a paper by Georg Wolfgang Krafft (1741) which contains an experimental confirmation of Bernoulli's results regarding the impact pressure of a fluid jet.
The second part of the volume includes two of Daniel Bernoulli's memoirs - one on the nature of winds, the other on ocean currents - which he presented to competitions of the Berlin and Paris Academies of Science in 1746 and 1751, respectively. This part also contains three smaller papers that are devoted to the study of atmospheric pressure and of the height of locations above the sea level. Two papers appended to this part are linked to Bernoulli's competition memoir on the nature of winds and assist in its correct placement in the history of Dynamical Meteorology: George Hadley's paper on trade winds (1735) and Christlob Mylius' memoir on winds (1746), also presented to the Berlin competitions in which Daniel Bernoulli participated.
The Bernoulli Edition establishes an authoritative version of the source texts, starting from either the original publications or the manuscripts. The commentaries facilitate access to the historical texts for the modern reader by providing interpretative introductions, explanatory notes and indexes. All texts are printed in the original language (mainly Latin and French); the commentaries are in English. Copius illustrations present figures from original printings as well as samples from holographs.
Progress in Mathematical Physics，vol.26
2002. Approx. 480 pages. Hardcover ISBN 0-8176-4228-5 English Due in October 2002
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. A comprehensive bibliography and index round out the work.
Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Key Topics:
Part I: A brief introduction to (Schwartz) distribution theory; Elements from the theories of ultra distributions and hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties of and basic properties for distributions are developed with applications to constant coefficient ODEs and PDEs; the relation between distributions and holomorphic functions is developed as well. Part II: Fundamental facts about Hilbert spaces and their geometry. The theory of linear (bounded and unbounded) operators is developed, focusing on results needed for the theory of Schrodinger operators. The spectral theory for self-adjoint operators is given in some detail. Part III: Treats the direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators, concludes with a discussion of the Hohenberg--Kohn variational principle. Appendices: Proofs of more general and deeper results, including completions, metrizable Hausdorff locally convex topological vector spaces, Baire's theorem and its main consequences, bilinear functionals. Table of Contents
Preface Introduction Spaces of test functions Schwartz distributions Calculus for distributions Distributions as derivatives of functions Tensor products Convolution products Applications of convolutions Holomorphic functions Fourier Transformation Distributions and analytic functions Other spaces of generalized functions Hilbert spaces: A brief historical introduction Inner product spaces and Hilbert spaces Geometry of Hilbert spaces Separable Hilbert spaces Direct sums and tensor products Topological aspects Linear operators Quadratic forms Bounded linear operators Special classes of bounded operators Self-adjoint Hamilton operators Elements of spectral theory Spectral theory of compact operators The spectral theorem Some applications of the spectral representation Introduction The direct methods in the calculus of variations Differential calculus on Banach spaces and extrema of differentiable functions Constrained minimization problems (Method of Lagrange multipliers) Boundary and eigenvalue problems Density functional theory of atoms and molecules Appendix References Index
ANHA - Applied and Numerical Harmonic Analysis
2002. Approx. 392 pages. Hardcover ISBN 0-8176-4235-8 English Due in December 2002
With the advent of new ideas and new theoretical and computational results in engineering applications, research studies are being enlarged and expanded to the subjects of wavelets, wavelet transforms, signal analysis, and signal and image processing.
Wavelets and Signal Processing provides a digest of the current developments, open questions and unsolved problems that are likely to determine a new frontier for future advanced study and research in these rapidly growing areas.
Key topics include: multivariate wavelets, wavelet transforms, time-frequency signal analysis, self-similarity and intermittency probelms in turbulence, wavelet image compression, class of band-limited wavelets and multiresolution analysis.
This book is an essential text/reference for advanced students and practitioners in wavelets, wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical/computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics and fluid mechanics will find this book a valuable resource.
Part I: Wavelets Ch. 1, On the Nonexistence of Certain Divergence-Free Multi-Wavelets Ch. 2, On a Class of Band-limited Wavelets not Associated with MRA Ch. 3, Construction of Multivariate Wavelets Ch. 4, Multiresolution De-noising for Low SNR Ch. 5, Self Similarity and Intermitancy Ch. 6, Selective Thresholding In Wavelet Image Compression Part II: Time-Frequency Signal Analysis Ch. 7, Covariant Time-Freqeuncy Analysis Ch.8, Time-Frequency/Time Scale Reassignment Ch. 9, Suppression of Nonstationary Inference in Direct Sequency Spread Spectrum Communications Using the Short Time Fourier Transform Ch. 10, Quadratic Time-Frequency Representations Preserving Constant and Dispersive Time Shifts Ch, 11, Wavelets and Signal Processing; Index