Architecture

Cardiovascular Mathematics

Modeling and simulation of the circulatory system

	EDITORS:	Luca Formaggia, Politecnico di Milano, Italy; Alfio M. Quarteroni, Politecnico di Milano, Italy and Alessandro Veneziani, Emory University, USA
	ISBN-13:	978-88-470-1151-9
	PAGES/ILLUS:	XX, 550 p., Hardcover
	PRICE:	$74.95
	AVAILABLE (US):	March 2009

Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning. This book offers a mathematically sound and up-to-date foundation to the training of researchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, but it features a common thread with consistency of notation and expressions and systematic cross-referencing.

SELLING POINTS:

Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes This book offers a mathematically sound and up-to-date foundation to the training of researchers and serves as a useful reference for the development of mathematical models and numerical simulation codes

MARKET:

Graduate students and researchers in the field of bioengineering, applied mathematics, and medicine

SUBJECTS:

Applications of Mathematics; Cardiology; Mathematical Biology in General

LOCATION IN BOOKSTORE:

Mathematics

RELATED TITLES:

Haefner, Modeling Biological Systems: (978-0-387-25011-3, 2005, $79.95) Diehm, Color Atlas of Vascular Diseases (978-3-540-62619-0, 2000, $419)

COMPETITION:

Mehler, How the Circulatory System Works (Wiley-Blackwell, 0865425485, 2001, $37.95) Batzel, Cardiovascular and Respiratory Systems: Modeling, Analysis, and Control (SIAM, 0898716179, 2006, $106.00)

Mathematics




Theory of Stochastic Processes

With Applications to Financial Mathematics and Risk Theory

	AUTHORS:	Dmytro Gusak, Ukrainian Academy of Sciences, Kiev, Ukraine; Alexander Kukush, Kiev National Taras Shevchenko University, Kiev, Ukraine; Alexey Kulik, Ukrainian Academy of Sciences, Kiev, Ukraine; Yuliya Mishura, Kiev National Taras Shevchenko University, Kiev, Ukraine and Andrey Pilipenko, Ukrainian Academy of Sciences, Kiev, Ukraine
	ISBN-13:	978-0-387-87861-4
	PAGES/ILLUS:	approx. 360 p., 6 illus., Hardcover
	PRICE:__approx._$69.95_____AVAILABLE_(US)'>PRICE:	approx. $69.95
	AVAILABLE (US):	June 2009

The book is a collection of problems in the theory of stochastic processes and its application to financial mathematics and risk theory. More than 1000 problems are divided into 23 chapters. Each chapter is supplied by the brief overview of the main theoretical results. Most of the problems are supplied by either solutions or hints to the solutions.

SELLING POINTS:

Contains over 1000 high quality exercises on stochastic processes Presents a modern approach to topics such as sample paths and optimal stopping Ideal for professors who need exercises for exams, and grad students wishing to learn about stochastic processes

MARKET:

Graduate students, professors

SUBJECTS:

Probability Theory and Stochastic Processes; Statistics for Business/Economics/Mathematical Finance/Insurance

LOCATION IN BOOKSTORE:

Mathematics

RELATED TITLES:

Lam, Exercises in Classical Ring Theory (0387005005, $64.95, 2003 ) Capinski, Probability Through Problems (038795063X, $54.95, 2000) Shiryaev, Probability (0387945490 , $79.95, 1995)

COMPETITION:

Nahin, Duelling Idiots and Other Probability Puzzlers (Princeton, 0691102864, 2002, $19.95) Grimmett, One Thousand Exercises in Probability (Oxford, 0198572212, 2001, $54.50) Mosteller, Fifty Challenging Problems in Probability with Solutions (Dover, 0486653552, 1987, $6.95)

Mathematics




Groups and Symmetries

From Finite Groups to Lie Groups

	AUTHOR:___Yvette_Kosmann-Schwarzbach'>AUTHOR:	Yvette Kosmann-Schwarzbach, Paris, France
	ISBN-13:	978-0-387-78865-4
	PAGES/ILLUS:	approx. 220 p., 24 illus., Hardcover
	PRICE:__$109.00_____AVAILABLE_(US)'>PRICE:	approx. $59.95
	AVAILABLE (US):	August 2009

The theory of group representations is an elegant subject at the intersection of algebra, geometry, and analysis, with applications to crystallography and the physics of atomic and subatomic particles. This book is an introduction to both the theory and applications of group representations. The author lends coherence to this vast subject by focusing on the connections between group representations and the study of symmetry. The book begins with a brisk review of the basic definitions and fundamental results of group theory. Definitions are illustrated with examples important to the study of symmetry.

SELLING POINTS:

Combines material from many branches of mathematics, including algebra, geometry, and analysis, so students see connections between these areas Applies material to chemistry and physics, so students appreciate the applications of abstract mathematics Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates and beginning graduate students Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study

MARKET:

Advanced undergraduates and beginning graduate students in mathematics and physics

SUBJECTS:

Group Theory and Generalizations; Applications of Mathematics; Mathematical and Computational Physics

LOCATION IN BOOKSTORE:

Mathematics

RELATED TITLES:

Hall, Lie Groups, Lie Algebras, and Representations (978-0-387-40122-5, 2003, $59.95) Stillwell, Naive Lie Theory (978-0-387-78214-0, 2008, $49.95) Armstrong, Groups and Symmetry (978-0-387-96675-5, 1997, $59.95)

COMPETITION:

Aschbacher, Finite Group Theory (Cambridge, 978-0-521-78675-1, 2000, $43.00) Wehrfritz, Finite Groups (World Scientific Publishing, 981-02-3874-6, 1999, $28.00) Rosmann, Lie Groups: An Introduction Through Linear Groups (Oxford, 0199202516, 2006, $80)

Mathematics




Frobenius Categories versus Brauer Blocks

The Grothendieck Group of the Frobenius Category of a Brauer Block

	AUTHOR:	Lluis Puig, Université Paris VII Denis Diderot, Paris, France
	ISBN-13:	978-3-7643-9997-9
	PAGES/ILLUS:	approx. 510 p., Hardcover
	PRICE:	$109.00
	AVAILABLE (US):	May 2009

This book contributes to important questions in modern representation theory of finite groups. On the one hand, it introduces and develops the abstract setting of the Frobenius categories (also called the Saturated fusion systems in the literature), created by the author fifteen years ago for a better understanding of what was loosely called the local theory either of finite groups or of blocks, and for the purpose of an eventual classification. On the other hand, it gives the application of the abstract setting to the blocks. In particular, it develops a framework for a deeper understanding of one of the central open problems in representation theory, known as Alperin’s Weight Conjecture (AWC). One of the main results of the book is a reduction theorem of the author’s own form of AWC to quasi-simple groups.

SELLING POINTS:

First book introducing the abstract setting of the Frobenius categories for the understanding of blocks of the finite groups First text giving a reduction theorem allowing a proof of the Alperin’s Weight Conjecture from the quasi-simple groups First text exhibiting from local data a Grothendieck Group for blocks of the finite groups

MARKET:

Graduate students and researchers working in representation theory of finite groups and in homotopy theory

SUBJECTS:

Group Theory and Generalizations; Algebraic Topology

LOCATION IN BOOKSTORE:

Mathematics

RELATED TITLES:

Puig, Blocks of the Finite Groups (978-3-540-43514-3, 2002, $99.95) Puig, On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks (978-3-7643-6156-3, 1999, $152) Caenepeel, Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations (978-3-540-43782-6, 2002, $65)

COMPETITION:

Kock, Frobenius Algebras and 2-D Topological Quantum Field Theories (CUP, 0521832675, 2004, $128.00) Navarro, Characters and Blocks of Finite Groups (CUP, 0521595134, 1998, $70.00)

Mathematics




Stable Homotopy Around the Arf-Kervaire Invariant

	AUTHOR:	Victor P. Snaith, University of Sheffield, UK
	ISBN-13:	978-3-7643-9903-0
	PAGES/ILLUS:	approx. 250 p., Hardcover
	PRICE:	$79.95
	AVAILABLE (US):	March 2009

This monograph describes important techniques of stable homotopy theory, both classical and brand new, applying them to the long-standing unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. Opening with an account of the necessary algebraic topology background, it proceeds in a quasi-historical manner to draw from the author’s contributions over several decades. A new technique entitled “upper triangular technology” is introduced which enables the author to relate Adams operations to Steenrod operations and thereby to recover most of the important classical Arf-Kervaire invariant results quite simply. The final chapter briefly relates the book to the contemporary motivic stable homotopy theory of Morel-Voevodsky.

SELLING POINTS:

Introduction of the new “upper triangular technology” method Detailed application of upper triangular technology to operations in algebraic K-theory and to the Arf-Kervaire invariant problem. An account of the relation of the book’s classical stable homotopy theory results to the important, new motivic stable homotopy theory of Morel-Voevodsky

MARKET:

Graduate students and researchers in areas related to algebraic topology, stable homotopy theory, algebraic K-theory, algebraic geometry and motivic stable homotopy theory

SUBJECT:

Algebraic Topology

LOCATION IN BOOKSTORE:

Mathematics

RELATED TITLES:

Snaith, Algebraic K-Groups as Galois Modules (978-3-7643-6717-6, 2002, $137) Banagl, Topological Invariants of Stratified Spaces (978-3-540-38585-1, 2007, $89.95) Seade, On the Topology of Isolated Singularities in Analytic Spaces (978-3-7643-7322-1, 2005, $74.95)

COMPETITION:

Shick, Topology: Point-Set and Geometric (Wiley-Interscience, 0470096055, 2007, $99.95) Adams, Stable Homotopy and Generalised Homology (Univ Of Chicago Press, 0226005240,