9<HTTIPH=Abjdei>
Total Page:16
File Type:pdf, Size:1020Kb
News 9/2011 Mathematics D. Ambrosi, Politecnico di Milano, Italy; H. Ammari, École Normale Supérieure, Paris, France M. Audin, Université de Strasbourg, France A. Quarteroni, Ecole Polytechnique Federale (Ed.) Remembering Sofya De Lausanne, Switzerland; G. Rozza, Ecole Mathematical Modeling in Polytechnique Federale de Lausanne, Switzerland Kovalevskaya (Eds) Biomedical Imaging II Modelling of Physiological Optical, Ultrasound, and Opto-Acoustic Sofia Kovalevskaya was a brilliant and determined Tomographies young Russian woman of the 19th century who Flows wanted to become a mathematician and who This volume reports on recent mathematical and succeeded, in often difficult circumstances, in be- computational advances in optical, ultrasound, coming arguably the first woman to have a profes- and opto-acoustic tomographies. It outlines the sional university career in the way we understand Contents state-of-the-art and future directions in these it today. This memoir, written by a mathematician Assumptions in modelling of large artery hemody- fields and provides readers with the most recently who specialises in symplectic geometry and namics by D.A. Steinman. - Simplified blood flow developed mathematical and computational integrable systems, is a personal exploration of the model with discontinous vessel properties by E.F. tools. It is particularly suitable for researchers and life, the writings and the mathematical achieve- Toro and S. Siviglia. - Blood coagulation: a puzzle graduate students in applied mathematics and ments of a remarkable woman. It emphasises the for biologists, a maze for mathematicians by A. biomedical engineering. originality of Kovalevskaya’s work and assesses Fasano et al. - Numerical simulation of electrocar- her legacy and reputation as a mathematician and diagrams by J.F. Gerbeau et al. - Mathematical and Features scientist. Her ideas are explained in a way that is numerical methods for reaction-diffusion models 7 The first book to cover ultrasound, optic, and accessible to a general audience, with diagrams, in electrocardiology by P. Colli-Franzone et al. - opto-acoustic tomographies and to report the marginal notes and commentary to help explain Structurally motivated damage models for arterial most recent mathematical and computational the mathematical concepts and provide context. walls by A.M. Robertson et al. - Arterial growth developments in these fields. 7 The contribu- and remodelling is driven by hemodynamics by tions are written by leading experts in the field of Features L. Cardamone and J.D. Humphrey. - The VPH- mathematical imaging. 7 The contributions are 7 The first biography to be written about Physiome Project: standards, tools and database comprehensible to non-experts. Sofya Kovalevskaya by a renowned mathema- for multi-scale physiological modelling by P. tician 7 Offers a well-rounded narrative that Hunter et al. - Role of the variational formulation Contents incorporates literature, mathematics and personal in the dimensionally-heterogeneous modelling of Direct Reconstruction Methods in Optical biography 7 May also appeal to those doing the human cardiovascular system by P. Blanco and Tomography.- Direct Reconstruction Methods general feminist studies R. Feijoo. - Multiscale modelling of hematologic in Ultrasound Imaging of Small Anomalies.- disorders by G.E. Karniadakis et al. - Multiscale Photoacoustic Imaging for Attenuating Acoustic Contents computational analysis of degradable polymers by Media.- Attenuation Models in Photoacoustics.- Sofya’s chronology.- Sofya’s names.- Stories.- P. Zunino et al. - Applications of variational data Quantitative Photoacoustic Tomography. The thesis of Sofya, the Cauchy–Kovalevskaya assimilitation in computational hemodynamics theorem.- The Solid.- A letter to Mittag-Leffler.- by A. Veneziani et al. - Quality open source mesh Fields of interests Stockholm.- A letter to Vollmar.- The Bordin generation for cardiovascular flow simulations by Applications of Mathematics; Imaging / Radiolo- prize and Sofya’s reputation.- The women of Men E. Marchandise et al. gy; Mathematical Methods in Physics of mathematics.- I remember Sofya, by George, Gösta, Julia and all the rest.- I too remember Fields of interests Target groups Sofya.- Bibliography. Computational Mathematics and Numerical Ana- Graduate lysis; Human Physiology; Mathematical Modeling Fields of interests Product Category and Industrial Mathematics History of Mathematical Sciences; Theoretical and Contributed volume Applied Mechanics; Gender Studies Target groups Research Target groups Popular/general Product Category Monograph Product Category Popular science Due October 2011 Due September 2011 2012. X, 158 p. 43 illus., 38 in color. (Lecture Notes in Available 2011 2011. X, 240 p. 151 illus., 1 in color. (MS&A, Mathematics / Mathematical Biosciences Subseries, Volume 5) Hardcover Volume 2035) Softcover 2011. IX, 284 p. 97 illus., 47 in color. Hardcover 7 $109.00 7 $49.95 7 $49.95 9<HTTIPH=abjdei>ISBN 978-88-470-1934-8 9<HTOGPC=ccjijd>ISBN 978-3-642-22989-3 9<HTLIQH=cjjcie>ISBN 978-0-85729-928-4 131 Mathematics springer.com/NEWSonline V. Barbu, University Al.I. Cuza, Iasi, Romania; S. Benenti, Università di Torino, Italy K. Berglund, University of Helsinki, Finland T. Precupanu, University Al.I.Cuza, Iasi, Romania Hamiltonian Structures and The Vexing Case of Igor Convexity and Optimization in Generating Families Shafarevich, a Russian Political Banach Spaces This book is an enhanced version of an earlier Thinker An updated and revised edition of the 1986 title Russian edition. Besides thorough revisions, more Features Convexity and Optimization in Banach Spaces, emphasis was put on reordering the topics accor- 7 “The Shafarevich case” discussed in this study this book provides a self-contained presentation of ding to a category-theoretical view. This allows the created a large controversy in the mathematics basic results of the theory of convex sets and func- mathematical results to be stated, proved, and un- community at the beginning of the 1990s about a tions in infinite-dimensional spaces. The main em- derstood in a much easier and elegant way. From fundamental ethical principle: Can scientific ho- phasis is on applications to convex optimization the reviews of the Russian edition: „The main ac- norary societies make demands to their members and convex optimal control problems in Banach cent is shifted to the application . in geometrical concerning their non-scientific views? 7 Ano- spaces. A distinctive feature is a strong emphasis optics, thermostatics and control theory, and not ther, even bigger problem in Shafarevich’s case on the connection between theory and applica- to the Hamiltonian mechanics only. To make is that, as this study shows, he was condemned tion. This edition has been updated to include new the book fairly self-contained, full details of basic wrongly, on the basis of superficial groundwork results pertaining to advanced concepts of sub- definitions and all proofs are included. In this way, and tendentious reading of his texts. This study differential for convex functions and new duality the majority of the text can be read without the will hopefully set off Shafarevich’s belated reha- results in convex programming. The last chapter, prerequisite of a course in geometry. bilitation. Mathematicians are often fascinating concerned with convex control problems, has been personalities and Shafarevich is no exception. rewritten and completed with new research con- Features 7 Enhanced version of Russian first editi- cerning boundary control systems, the dynamic Contents on 7 Focuses on Hamiltonian mechanics, as programming equations in optimal control theory 1 igor shafarevich, a lightning rod for controver- well as the application of modern mathematical and periodic optimal control problems. sy.- 2 shafarevich’s early years in the young soviet methods of symplectic geometry and topology state.- 3 shafarevich, the human rights activist.- 4 Features in geometrical optics, thermostatics and control the first disputes about the soviet – and russian 7 This book provides a strong emphasis on the theory 7 Self-contained with full details of basic – future.- 5 from under the rubble, shafarevich’s link between abstract theory and applications notions of calculus on manifolds in the first two and solzhenitsyn’s joint project.- 6 shafarevich’s to convex optimization 7 Chapters end with chapters addresses until the early 1980s.- 7 shafarevich’s an informative ‘bibliographic notes’ section for first statements during the era of glasnost.- 8 rus- further reading 7 Includes fundamental results Contents sophobia.- 9 the rapid political changes of the late of infinite-dimensional convex analysis Preface.- Basic Notions of Calculus on Ma- nifolds.- Relations.- Symplectic Relations on 1980s early 1990s.- 10 critique of techno-scientific Contents Symplectic Manifolds.- Symplectic Relations on civilisation .- 11 some conclusions.- sources and Fundamentals of Functional Analysis.- Convex Cotangent Bundles.- Canonical Lift on Cotangent literature.- index of personal names. Functions.- Convex Programming.- Convex Con- Bundles.-The Geometry of the Hamilton-Jacobi Fields of interest trol Problems in Banach Spaces. Equation.- Hamiltonian Optics in Euclidean Mathematics in the Humanities and Social Sci- Spaces.- Control of Static Systems.- Supplementa- ences Fields of interest ry Topics.- Global Hamilton Principal Functions Optimization on S2 and H2.- References.- Index. Target groups Target