Ari Laptev's Books

Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

By: Rupert L. Frank,Ari Laptev,Timo Weidl

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Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

By: Rupert L. Frank,Ari Laptev,Timo Weidl

The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.

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Page Count

524

Publisher

Cambridge University Press

Published Date

ISBN 10

1009218441

ISBN 13

9781009218443

Asdell's Patterns of Mammalian Reproduction

A Compendium of Species-specific Data

By: Virginia Douglass Hayssen,Ari Van Tienhoven,Ans Van Tienhoven

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Asdell's Patterns of Mammalian Reproduction

A Compendium of Species-specific Data

By: Virginia Douglass Hayssen,Ari Van Tienhoven,Ans Van Tienhoven

Since the appearance of the second edition of Sydney A. Asdell's widely used Patterns of Mammalian Reproduction in 1964, the field of reproductive physiology has expanded dramatically. Accordingly, this revision adopts a different structure from previous editions, substituting empirical delineations for physiological interpretations. With the emphases now on a presentation of the published facts of mammalian reproduction, it provides a thorough compilation of what is known about the basic reproductive biology of each of the 4300 mammalian species.To gather information, the authors examined more than 20,000 publications, dating up to 1992. They used primary sources as much as possible, supplementing them with English translations of Russian, Finnish, Chinese, and Japanese journals. The data are presented in taxonomic order. Each familial account summarizes the pattern of reproduction for the family and provides lists of citations arranged by topic of the literature on the endocrinology, reproductive anatomy, and reproductive physiology of the family. Following each account is a tabular listing of species-specific data for neonatal mass and size, weaning mass and size, litter size, age at sexual maturity, estrous cycle length, gestation length, lactation length, number of litters per year, and seasonality of reproduction. For each of these reproductive variables, the range of data gleaned from the literature is given, together with the source of each value listed.Virginia Hayssen is Assistant Professor of Biology at Smith College. Ari Van Tienhoven is Professor of Animal Physiology, Emeritus, at Cornell University. Ans Van Tienhoven assisted in the compilation of data for the book.

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Page Count

1036

Publisher

Cornell University Press

Published Date

ISBN 10

0801417538

ISBN 13

9780801417535

European Congress of Mathematics

Stockholm, June 27-July 2, 2004

By: Ari Laptev

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European Congress of Mathematics

Stockholm, June 27-July 2, 2004

By: Ari Laptev

The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris, 1992, Budapest, 1996, and Barcelona, 2000, the Fourth European Congress of Mathematics took place in Stockholm, Sweden, June 27 to July 2, 2004, with 913 participants from 65 countries. Apart from seven plenary and thirty three invited lectures, there were six Science Lectures covering the most relevant aspects of mathematics in science and technology. Moreover, twelve projects of the EU Research Training Networks in Mathematics and Information Sciences, as well as Programmes from the European Science Foundation in Physical and Engineering Sciences, were presented. Ten EMS Prizes were awarded to young European mathematicians who have made a particular contribution to the progress of mathematics. Five of the prizewinners were independently chosen by the 4ECM Scientific Committee as plenary or invited speakers. The other five prizewinners gave their lectures in parallel sessions. Most of these contributions are now collected in this volume, providing a permanent record of so much that is best in mathematics today.

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Page Count

906

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190094

ISBN 13

9783037190098

Book's by Ari Laptev

Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

Asdell's Patterns of Mammalian Reproduction

Asdell's Patterns of Mammalian Reproduction

European Congress of Mathematics

European Congress of Mathematics

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