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Methods Of Algebraic Geometry In Control Theory: Part Ii - Multivariable Linear Systems And Projective Algebraic Geometry

by Peter Falb

~~66,24€~~ 52,99€ 20% OFF + 5% CARD

 "An introduction to the ideas of algebraic geometry in the motivated context of system theory." This describes this two volume work which has been specifically written to serve the needs of researchers and students of systems, control, and applied mathematics. Without sacrificing mathematical rigor, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than on abstraction. While familiarity with Part I is helpful, it is not essential, since a considerable amount of relevant material is included here.<div><br></div><div>Part I, <i>Scalar Linear Systems and Affine Algebraic Geometry, </i>contains a clear presentation, with an applied flavor , of the core ideas in the algebra-geometric treatment of scalar linear system theory. Part II extends the theory to multivariable systems. After delineating limitations of the scalar theory through carefully chosen examples, the author introduces seven representations of a multivariable linear system and establishes the major results of the underlying theory. Of key importance is a clear, detailed analysis of the structure of the space of linear systems including the full set of equations defining the space. Key topics also covered are the Geometric Quotient Theorem and a highly geometric analysis of both state and output feedback. </div><div><br></div>Prerequisites are the basics of linear algebra, some simple topological notions, the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises, which are an integral part of the exposition throughout, combined with an index and extensive bibliography of related literature make this a valuable classroom tool or good self-study resource. The present, softcover reprint is designed to make this classic textbook available to a wider audience.<div><br></div><div><div><i>"The exposition is extremely clear. In order to motivate the general theory, the author presents a number of examples of two or three input-, two-output systems in detail. I highly recommend this excellent book to all those interested in the interplay between control theory and algebraic geometry." </i></div><div><b>—Publicationes Mathematicae, Debrecen</b></div><div><br></div><div><i>"This book is the multivariable counterpart of Methods of Algebraic Geometry in Control Theory, Part I…. In the first volume the simpler single-input-single-output time-invariant linear systems were considered and the corresponding simpler affine algebraic geometry was used as the required prerequisite. Obviously, multivariable systems are more difficult and consequently the algebraic results are deeper and less transparent, but essential in the understanding of linear control theory…. Each chapter contains illustrative examples throughout and terminates with some exercises for further study." </i></div><div><b>—Mathematical Reviews</b></div></div>
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Topics In The Mathematical Modelling Of Composite Materials

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 The last decades of the twentieth century saw a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate-rials.
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Methods Of Algebraic Geometry In Control Theory: Part I - Scalar Linear Systems And Affine Algebraic Geometry

by Peter Falb

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry).
ENGLISH

Methods Of Algebraic Geometry In Control Theory: Part I - Scalar Linear Systems And Affine Algebraic Geometry

by Peter Falb

31,08€ + 10% CARD

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 The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry).
ENGLISH

Foundations Of Fluid Mechanics With Applications - Problem Solving Using Mathematica®

by Evgenii V. Vorozhtsov, Sergey P. Kiselev e Vasily M. Fomin

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 <div>This textbook presents the basic concepts and methods of fluid mechanics, including Lagrangian and Eulerian descriptions, tensors of stresses and strains, continuity, momentum, energy, thermodynamics laws, and similarity theory. The models and their solutions are presented within a context of the mechanics of multiphase media. The treatment fully utilizes the computer algebra and software system <i>Mathematica</i>® to both develop concepts and help the reader to master modern methods of solving problems in fluid mechanics.<br/></div><div><br/></div><div>Topics and features:</div><div><ul><li>Glossary of over thirty <i>Mathematica</i>® computer programs<br/></li><li>Extensive, self-contained appendix of <i>Mathematica</i>® functions and their use<br/></li><li>Chapter coverage of mechanics of multiphase heterogeneous media<br/></li><li>Detailed coverage of theory of shock waves in gas dynamics<br/></li><li>Thorough discussion of aerohydrodynamics of ideal and viscous fluidsan</li></ul></div>d gases<br/><li>Complete worked examples with detailed solutions<br/></li><li>Problem-solving approach</li><div><i>Foundations of Fluid Mechanics with Applications</i> is a complete and accessible text or reference for graduates and professionals in mechanics, applied mathematics, physical sciences, materials science, and engineering. It is an essential resource for the study and use of modern solution methods for problems in fluid mechanics and the underlying mathematical models. The present, softcover reprint is designed to make this classic textbook available to a wider audience.</div><div><br/></div><div><br/></div>
ENGLISH

Introductory Statistics And Random Phenomena - Uncertainty, Complexity And Chaotic Behavior In Engineering And Science

by Manfred Denker e Wojbor Woyczynski

~~92,74€~~ 74,19€ 20% OFF + 5% CARD

 This textbook integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems. This was the first advanced text/reference to bring together such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences.<div><br/></div><div>The crucial computer experiments are conducted using the readily available computer program <i>Mathematica</i>® <i>Uncertain Virtual Worlds</i>™ software packages which optimize and facilitate the simulation environment. Brief tutorials are included that explain how to use the <i>Mathematica</i>® programs for effective simulation and computer experiments. Large and original real-life data sets are introduced and analyzed as a model for independent study.</div><div><br/></div><div>This is an excellent classroom tool and self-study guide. The material is presented in a clear and accessible style providing numerous exercises and bibliographical notes suggesting further reading.</div><div><br/></div><div>Topics and Features</div><div><ul><li>Comprehensive and integrated treatment of uncertainty arising in engineering and scientific phenomena - algorithmic complexity, statistical independence, and nonlinear chaotic behavior<br/></li><li>Extensive exercise sets, examples, and <i>Mathematica</i>® computer experiments that reinforce concepts and algorithmic methods<br/></li><li>Thorough presentation of methods of data compression and representation<br/></li><li>Algorithmic approach to model selection and design of experiments<br/></li><li>Large data sets and 13 <i>Mathematica</i>®-based <i>Uncertain Virtual Worlds</i>™ programs and code</li></ul></div><div>This text is an excellent resource for all applied statisticians, engineers, and scientists who need to use modern statistical analysis methods to investigate and model their data. The present, softcover reprint is designed to make this classic textbook available to a wider audience.</div><div><br/></div><div><br/></div>
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Computational Signal Processing With Wavelets

by Anthony Teolis

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis.<p></p> <p>The text is written in a clear, accessible style avoiding unnecessary abstractions and details. From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification. Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the World Wide Web. </p> <p>Topics and Features</p> <p></p><ul><li>Continuous wavelet and Gabor transforms<br/></li><li>Frame-based theory of discretization and reconstruction of analog signals is developed<br/></li><li>New and efficient "overcomplete" wavelet transform is introduced and applied<br/></li><li>Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available<br/></li></ul><p></p> <p></p> <p></p> <p>This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems. Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools. The present, softcover reprint is designed to make this classic textbook available to a wider audience.</p><p><i>A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic…is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results.</i></p><p> </p><p>—<b>Journal of Mathematical Psychology</b></p>
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Ginzburg-Landau Vortices

by Fabrice Bethuel, Frederic Helein e Haim Brezis

~~79,49€~~ 63,59€ 20% OFF + 5% CARD

 This book is concerned with the study in two dimensions of stationary solutions of ue of a complex valued Ginzburg-Landau equation involving a small parameter e. The number of these defects is exactly the Brouwer degree - or winding number - of the boundary condition.
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Simplicial Homotopy Theory

by John F. Jardine e Paul G. Goerss

~~158,34€~~ 126,67€ 20% OFF + 5% CARD

 This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets.
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Six Lectures On Commutative Algebra

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 Interest in commutative algebra has surged over the years. In order to survey and highlight the developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. This title offers a synthesis of the lectures presented at the Summer School.
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Introduction To Cardinal Arithmetic

by E. Weitz, Karsten Steffens e Michael Holz

~~72,86€~~ 58,29€ 20% OFF + 5% CARD

 This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. Part two, which is Chapter 2, characterizes the development of cardinal arithÂ metic in the seventies, which was led by Galvin, Hajnal, and Silver.
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Discrete Groups, Expanding Graphs And Invariant Measures

by Alex Lubotzky

~~86,11€~~ 68,89€ 20% OFF + 5% CARD

 In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory.
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Families Of Automorphic Forms

by Roelof W. Bruggeman

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory. Maass, [34], started a systematic study of real analytic automorphic forms. He extended Hecke’s relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the spectral theory of real analytic automorphic forms, see, e. g. , [50], [51]. This culminates in the trace formula of Selberg, see, e. g. , Hejhal, [21]. Automorphicformsarefunctionsontheupperhalfplanewithaspecialtra- formation behavior under a discontinuous group of non-euclidean motions in the upper half plane. One may ask how automorphic forms change if one perturbs this group of motions. This question is discussed by, e. g. , Hejhal, [22], and Phillips and Sarnak, [46]. Hejhal also discusses the e?ect of variation of the multiplier s- tem (a function on the discontinuous group that occurs in the description of the transformation behavior of automorphic forms). In [5]-[7] I considered variation of automorphic forms for the full modular group under perturbation of the m- tiplier system. A method based on ideas of Colin de Verdi` ere, [11], [12], gave the meromorphic continuation of Eisenstein and Poincar´ e series as functions of the eigenvalue and the multiplier system jointly. The present study arose from a plan to extend these results to much more general groups (discrete co?nite subgroups of SL (R)).
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Theory Of Function Spaces

by Hans Triebel

~~86,11€~~ 68,89€ 20% OFF + 5% CARD

 The book deals with the two scales B<sup>s</sup><sub>p,q </sub>and F<sup>s</sup><sub>p,q</sub> of spaces of distributions, where <s< and 0<p,q, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space R<sub>n</sub> in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in R<sub>n</sub>. These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations.
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Theory Of Function Spaces Ii

by Hans Triebel

~~131,84€~~ 105,47€ 20% OFF + 5% CARD

 .
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Fractals And Spectra - Related To Fourier Analysis And Function Spaces

by Hans Triebel

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators. It investigates distributions of eigenvalues of fractal (pseudo)differential operators.
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Integration - A Functional Approach

by Klaus Bichteler

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 Covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. This work is suitable for the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.
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Convex Integration Theory - Solutions To The H-Principle In Geometry And Topology

by David Spring

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 This is a comprehensive study of convex integration theory in immersion-theoretic topology, providing methods for solving the h-principle for a variety of problems in differential geometry and topology, with application to PDE theory and optimal control theory.
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Linear Representations Of Groups - Translated From The Russian By A. Iacob

by Ernest B. Vinberg

~~79,49€~~ 63,59€ 20% OFF + 5% CARD

 This book presents a comprehensive and detailed exposition of the fundamentals of the representation theory of groups, especially of finite groups and compact groups. The exposition is based on the decomposition of the two-sided regular representation.
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Generalized Etale Cohomology Theories

by John F. Jardine

~~86,11€~~ 68,89€ 20% OFF + 5% CARD

 This book offers new, complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem, exposing major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular.
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Vector Bundles On Complex Projective Spaces - With An Appendix By S. I. Gelfand

by Christian Okonek, Heinz Spindler e Michael Schneider

~~105,34€~~ 84,27€ 20% OFF + 5% CARD

 This book serves as an introduction to the topical question of classification of holomorphic vector bundles on complex projective spaces. It includes many examples, historical remarks, unsolved problems.
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Matvei Petrovich Bronstein - And Soviet Theoretical Physics In The Thirties

by Gennady Gorelik e Victor Ya. Frenkel

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 The life of Matvei Petrovich Bronstein (1906-1938) was closely intertwined with the social, historical and scientific context of one of the most tragic and intriguing periods of Russian history. This book examines the man and his times.
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Physics And National Socialism - An Anthology Of Primary Sources

~~145,09€~~ 116,07€ 20% OFF + 5% CARD

 This anthology of primary sources collects more than 120 documents in English translation portraying the role of physics, both perceived and actual, in the Nazi state. The texts were predominantly written by German scientists, particularly physicists.
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Equations In Mathematical Physics - A Practical Course

by Stanislav I. Pohozaev e Victor P. Pikulin

~~59,61€~~ 47,69€ 20% OFF + 5% CARD

 Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others.
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