Editors: Henryk Iwaniec (Rutgers University, USA)
W. Narkiewicz (University of Wrocaw, Poland)
Jerzy Urbanowicz (IM PAN, Warsaw, Poland)

Andrzej Schinzel, Selecta
Volume I: Diophantine Problems and Polynomials
Volume II: Elementary, Analytic and Geometric Number Theory

ISBN 978-3-03719-038-8
April 2007, 1417 pages, hardcover, 17.0 cm x 24.0 cm.

Andrzej Schinzel, born in 1937, is a leading number theorist whose work has a lasting impact on modern mathematics. He is the author of over 200 research articles in various branches of arithmetics, including elementary, analytic and algebraic number theory. He is also, for nearly 40 years, the editor of Acta Arithmetica, the first international journal devoted exclusively to number theory.

These Selecta contain Schinzel's most important articles published between 1955 and 2006. The arrangement is by topic, with each major category introduced by an expert's comment. Many of the hundred selected papers deal with arithmetical and algebraic properties of polynomials in one or several variables, but there are also articles on Euler's totient function, the favorite subject of Schinzel's early research, on prime numbers (including the famous paper with Sierpi?ski on the Hypothesis “H”), algebraic number theory, diophantine equations, analytical number theory and geometry of numbers. Volume II concludes with some papers from outside number theory, as well as a list of unsolved problems and unproved conjectures, taken from the work of Schinzel.

Contents

edited by Umberto Zannier

Diophantine Geometry. Proceedings

The book contains research papers on Diophantine Geometry, written by participants to a related workshop held at the Centro De Giorgi of the Scuola Normale di Pisa during the period April July 2005.

The authors are eminent experts in the field; actually, several interacting subfields of the main topic are represented here, which is particularly useful to get a broad overview of recent research developments.

Umberto Zannier, Diophantine Geometry. Proceedings. Pisa, Edizioni della Normale 2007, ISbN 978-88-7642-206-5

Ralph Vince

The Handbook of Portfolio Mathematics : Formulas for Optimal Allocation & Leverage

ISBN: 978-0-471-75768-9
Hardcover
448 pages
May 2007

The most groundbreaking work on money management

Vince combines his theoretical work with real-world applications to create the definitive guide to Optimal f and portfolio management formulas. Filled with in-depth insights, expert advice, and key money management formulas, this informative volume will help serious traders and money managers maximize gains, reduce risk, identify markets to trade, and allocate funds. The Handbook of Portfolio Mathematics will also allow traders and portfolio managers to augment trading systems by exploiting the rules of probability and principles of modern portfolio management theory.

Ralph Vince (Cleveland, OH) is a computer programmer and the author of Portfolio Management Formulas (0-471-52756-4), The Mathematics of Money Management (0-471-54738-7), and The New Money Management (0-471-04307-9).

Contents
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Edited By S. Friedlander, University of Illinois, Chicago, USA
D. Serre, Ecole Normale Superieur de Lyon, Lyon, France.

HANDBOOK OF MATHEMATICAL FLUID DYNAMICS, vol. 4

Description

This is the fourth volume in a series of survey articles covering many aspects of mathematical fluid dynamics, a vital source of open mathematical problems and exciting physics.

Audience

Mathematics, Physics, geophysics, engineering, oceanography, and meteorology departments and institutes

Contents

Preface On the Contact Topology and Geometry of Ideal Fluids (Robert Christ) Shock Reflection in Gas Dynamics (Denis Serre) The Mathematical Theory of the Incompressible Limit in Fluid Dynamics (Steven Schochet) Local Regularity Theory of Navier-Stokes Equations (Gregory Seregin) On the Influence of the Earth's Rotation on Geophysical Flows (Isabelle Gallagher and Laure Saint-Raymond) The Foundations of Oceanic Dynamics and Climate Modelling (George R. Sell) Mathematical Properties of the Solutions to the Equations Governing the Flow of Fluids with Pressure and Shear Rate Dependent Viscosities (Josef Malek and K.R. Rajagopal) Navier-Stokes System in Domians with Cylindrical Outlets to Infinity (Konstantin Pileckas) Periodic Homogenization Problems in Incompressible Fluid Equations (Carlos Conca and M. Vanninathan) Author Index Subject Index

Hardbound, 724 pages, publication date: APR-2007
ISBN-13: 978-0-444-52834-6
ISBN-10: 0-444-52834-2

Ovidiu Carja, Al. I. Cuza University 700506 Iasi, Romania
Mihai Necula, Al. I. Cuza University 700506 Iasi, Romania
I.I. Vrabie, Al. I. Cuza University 700506 Iasi, Romania

VIABILITY, INVARIANCE AND APPLICATIONS

Included in series
North-Holland Mathematics Studies, vol.207.

Description

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 includes the most important necessary and sufficient conditions for viability starting with Nagumo?s Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts.

Audience

Primary Markets: Graduate students, specialists and researchers in O.D.E., P.D.E., Differential Inclusions, Optimal ControlSecondary Markets: Physicists, Engineers, Chemists, Economists, Biologists.

Contents

Preface Chapter 1. Generalities Chapter 2. Specific preliminary results

Ordinary differential equations and inclusions
Chapter 3. Nagumo type viability theorems Chapter 4. Problems of invariance Chapter 5. Viability under Caratheodory conditions Chapter 6. Viability for differential inclusions Chapter 7. Applications

Part 2 Evolution equations and inclusions
Chapter 8. Viability for single-valued semilinear evolutions Chapter 9. Viability for multi-valued semilinear evolutions Chapter 10. Viability for single-valued fully nonlinear evolutions Chapter 11. Viability for multi-valued fully nonlinear evolutions Chapter 12. Caratheodory perturbations of m-dissipative operators Chapter 13. Applications Solutions to the proposed problems Bibliographical notes and comments Bibliography Name Index Subject Index Notation

Hardbound, 350 pages, publication date: JUN-2007
ISBN-13: 978-0-444-52761-5
ISBN-10: 0-444-52761-3