Series: CIME Summer Schools, Vol. 75
1st ed. 1977. 2nd printing, 2010, Approx. 250 p., Softcover
ISBN: 978-3-642-11091-7
Due: May 2010
A. Dynin: Pseudo-differential operators on Heisenberg groups.- A. Dynin: An index formula for elliptic boundary problems.- G.I. Eskin: General mixed boundary problems for elliptic differential equations.- B. Helffer: Hypoellipticite pour des operateurs differentiels sur des groupes de Lie nilpotents.- J.J. Kohn: Lectures on degenerate elliptic problems.- K. Taira: Conditions necessaires et suffisantes pour l’existence et l’unicite des solutions du probleme de la derivee oblique.- F. Treves: Boundary value problems for elliptic equations.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete.
3. Folge A Series of Modern Surveys in Mathematics, Vol. 53
1st Edition., 2010, Approx. 355 p., Hardcover
ISBN: 978-3-642-11413-7
Due: June 22, 2010
First comprehensive treatment of this subject in book form Ease of reference to the main results in the theory with complete proofs and precise statements Very recent results (published mostly from 1998 onwards) providing an extension of the theory of uniform hyperbolicity to flows with attractors having singularities accumulated by regular orbits inside the attractor Complete proofs of several results which are spread throughout many different papers with a unified notation and approach
NONE
1 Introduction.- 2 Preliminary Definitions and Results.- 3 Robust Singular Attractors.- 4 Robustness on the Whole Ambient Space.- 5 Robust Transitivity.- 6 Singular-Hyperbolicity and Robustness.- 7 Expansiveness and Physical Measure.- 8 Singular-Hyperbolicity and Volume.- 9 Global Dynamics of Generic 3-Flows.- 10 Recent Developments.- A Lyapunov Stability on Generic Vector Fields.- B A Perturbation Lemma for Flows.- C Robustness of Dominated Decomposition.- References.- Index.
2010, Approx. 160 p., Hardcover
ISBN: 978-3-0346-0473-4
Due: July 2010
A collection of Alberti’s four mathematical treatises, intended to capture Alberti’s unique combination of formal and informal writing, will be available for the first time to an English-speaking readership
Commentary with illustrations sets Alberti’s mathematical works in their proper historical and cultural context, as well as collocate them within the entire range of Alberti’s architectural and literary works
The book includes digital reproductions of original figures from the manuscripts, as well as additional, new illustrations to help explain the text, provide corrections where necessary, and give further insight
Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here ? Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura ? are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti’s knowledge as well as address the treatises’ mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers such as Andrea Palladio, Daniele Barbaro, Silvio Belli, Snellius, and Leonardo.
Ludi matematici (Mathematical games).- De Componendis Cifris (On writing in ciphers), Elementi di pittura (Elements of painting).- De lunularum quadratura (On the squaring of lunes).
Series: Textbooks in Mathematics
ISBN: 9781439819081
Publication Date: 29/03/2010
Pages: 600
Binding(s): Hardback
In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elementary. Bringing the computer into the classroom, Ordinary Differential Equations: Applications, Models, and Computing emphasizes the use of computer software in teaching differential equations.
Providing an even balance between theory, computer solution, and application, the text discusses the theorems and applications of the first-order initial value problem, including learning theory models, population growth models, epidemic models, and chemical reactions. It then examines the theory for n-th order linear differential equations and the Laplace transform and its properties, before addressing several linear differential equations with constant coefficients that arise in physical and electrical systems. The author also presents systems of first-order differential equations as well as linear systems with constant coefficients that arise in physical systems, such as coupled spring-mass systems, pendulum systems, the path of an electron, and mixture problems. The final chapter introduces techniques for determining the behavior of solutions to systems of first-order differential equations without first finding the solutions.
Designed to be independent of any particular software package, the book includes a CD-ROM with the software used to generate the solutions and graphs for the examples. The appendices contain complete instructions for running the software. A solutions manual is available for qualifying instructors.
Introduction. The Initial Value Problem y' = f (x, y); y(c) =d. Applications of the Initial Value Problem y' = f (x, y); y(c) =d. N-th Order Linear Differential Equations. The Laplace Transform Method. Applications of Linear Differential Equations with Constant Coefficients. Systems of First-Order Differential Equations. Linear Systems of First-Order Differential Equations. Applications of Linear Systems with Constant Coefficients. Applications of Systems of Equations. Appendices. Answers to Selected Exercises. References. Index.
ISBN: 9781584883579
Publication Date: 26/01/2011
Pages: 416
Trim Size: 6-1/8 x 9-1/4
Binding(s): Hardback
Clear, concise, and organized, Multivariate Analysis with MATLAB and R provides a self-contained introduction to the field of multivariate analysis. Integrating practical computations, the book explains the fundamental theory behind basic multivariate analysis techniques. It illustrates different types of analysis with examples from various disciplines and demonstrates how results can be obtained via computer instructions. The book presents a software toolbox of multivariate techniques and makes both MATLABｮ and R datasets available on the web. Each chapter addresses a special topic, such as multivariate analysis with linear constraints, and offers related exercises.
Introduction. Matrix Algebra for Multivariate Analysis. Matlab Basics. S-Plus Basics. Principal Component Analysis. Factor Analysis. Canonical Correlation Analysis. Correspondence Analysis. Linearly Constrained Methods I: Redundancy Analysis and Canonical Correspondence Analysis. Principal Coordinate Analysis. Procrustes Analysis. Cluster Analysis. Discriminant Analysis. Multivariate Analysis of Variance.