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Introduction to Partial Differential Equations: A Computational Approach
ISBN: 9783540225515 / Angielski / Twarda / 394 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
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301,89 |
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Functional Analytic Methods for Evolution Equations
ISBN: 9783540230304 / Angielski / Miękka / 474 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L DEGREESp-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics. This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In pa... |
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322,01 |
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Postmodern Analysis
ISBN: 9783540258308 / Angielski / Miękka / 375 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. What is the title of this book intended to signify, what connotations is the adjective "Postmodern" meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the - proach to analysis presented here from what has by its protagonists been called "Modern Analysis." "Modern Analysis" as represented in the works of the Bourbaki group or in the textbooks by Jean Dieudonn e is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis...
What is the title of this book intended to signify, what connotations is the adjective "Postmodern" meant to carry? A potential reader will surely pos...
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301,89 |
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Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
ISBN: 9783540260691 / Angielski / Miękka / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo's course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki's course reviews recent developments of the mathematical theory on stochastic... This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo's... |
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201,24 |
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An Introduction to Infinite-Dimensional Analysis
ISBN: 9783540290209 / Angielski / Miękka / 228 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction - for an audience knowing basic functional analysis and measure theory, but not necessarily probability theory - to analysis in a separable Hilbert space of infinite dimension. Moreover, some details as well as some new material has been added on dynamical systems with dissipative non-linearities and asymptotic behavior for gradient systems.
In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction -...
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201,24 |
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Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer
ISBN: 9783540291626 / Angielski / Miękka / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize... This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the... |
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201,24 |
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Complexity Explained
ISBN: 9783540357773 / Angielski / Twarda / 420 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is, of course about complexity. The title of the book, as you may recognize was motivated (excuse me for using this very mild expression) by Daniel Dennett s Consciousness Explained 130]. Dennett s intention was to explain consciousness as the emergent product of the interaction among c- stituents having physical and neural character. The goal of this book is to explain how various types of complexity emerge due to the interaction among constituents. There are many questions to be answered, how to understand, control, decompose, manage, predict the many-faced complexity. After tea-...
This book is, of course about complexity. The title of the book, as you may recognize was motivated (excuse me for using this very mild expression) by...
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cena:
684,33 |
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Electrorheological Fluids: Modeling and Mathematical Theory
ISBN: 9783540413851 / Angielski / Miękka / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence...
This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions ...
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201,24 |
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Painleve Equations in the Differential Geometry of Surfaces
ISBN: 9783540414148 / Angielski / Miękka / 120 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the time of surfaces -+ in differential Gauss, parametrized (x, y) P(x, y) have been described a frame attached to the moving geometry through TI(x, y) surface. One introduces the Gauss- which linear dif- Weingarten equations are, ferential equations = U = TIX T1, VT', PY (1. for the and their condition frame, compatibility - = V + U, V] 0, UY (1.2) which the Gauss-Codazzi For surfaces in three-dim- represents equations . a sional Euclidean the frame T1 lies in the usually or space, group SO(3) SU(2). On the other a of a non-linear in the form hand, representation equation (1.2) is...
Since the time of surfaces -+ in differential Gauss, parametrized (x, y) P(x, y) have been described a frame attached to the moving geometry through T...
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140,70 |
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Lectures on Symplectic Geometry
ISBN: 9783540421955 / Angielski / Miękka / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes approximately transcribe a 15-week course on symplectic geometry I taught at UC Berkeley in the Fall of 1997. The course at Berkeley was greatly inspired in content and style by Victor Guillemin, whose masterly teaching of beautiful courses on topics related to s- plectic geometry at MIT, I was lucky enough to experience as a graduate student. I am very thankful to him That course also borrowed from the 1997 Park City summer courses on symplectic geometry and topology, and from many talks and discussions of the symplectic geometry group at MIT. Among the regular participants in...
These notes approximately transcribe a 15-week course on symplectic geometry I taught at UC Berkeley in the Fall of 1997. The course at Berkeley was g...
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241,50 |
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Stability Theory of Dynamical Systems
ISBN: 9783540427483 / Angielski / Miękka / 225 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews:
"This is an introductory book intended for beginning graduate students or, perhaps advanced undergraduates. ... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems." Mathematical Reviews, 1972 "The exposition is remarkably clear, definitions are separated explicitly, theorems are often provided together with... From the reviews:
"This is an introductory book intended for beginning graduate students or, perhaps advanced undergraduates. ... The book has man... |
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201,24 |
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Monotone Random Systems Theory and Applications
ISBN: 9783540432463 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Through the presentation of a suitable, recently developed approach, this text investigates a variety of qualitative aspects of order-preserving random dynamical systems, and gives the background for further development of the theory.
Through the presentation of a suitable, recently developed approach, this text investigates a variety of qualitative aspects of order-preserving rando...
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201,24 |
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Order and Chaos in Dynamical Astronomy
ISBN: 9783540433606 / Angielski / Twarda / 624 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and Galactic Dynamics. The first books on stellar dynamics dealt mainly with the statistics of stellar motions (e. g. Smart's "Stellar Dynamics" (1938), or Trumpler and Weaver's "Statistical Astronomy" (1953)). A classical book in this field is Chandrasekhar's "Principles of Stellar Dynamics" (1942) that dealt mainly with the time of relaxation, the solutions of Liouville's equation, and the dynamics of clusters. In the Dover edition of this book...
There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and ...
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402,53 |
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
ISBN: 9783540440062 / Angielski / Miękka / 186 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's...
Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograp...
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152,93 |
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Soliton Theory and Its Applications
ISBN: 9783540571124 / Angielski / Twarda / 403 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlund transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and...
Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important ap...
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402,53 |
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Modélisation Asymptotique En Mécanique Des Fluides Newtoniens
ISBN: 9783540578383 / Francuski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Le but principal du present ouvrage est de familiariser les etudiants aux concepts actuels de la modelisation asymptotique et a leurs applications aux ecoulements des fluides Newtoniens dans diverses configurations. La lecture ne presente aucune difficulte particuliere. Cependant le deroulement logique et systematique de l'expose met en place tout le formalisme de la modelisation asymptotique (ch. II a VI). Ce livre est l'un des premiers a presenter un panorama assez vaste sur la modelisation asymptotique des ecoulements de fluides Newtoniens: il s'agit aussi bien des techniques asymptotiques...
Le but principal du present ouvrage est de familiariser les etudiants aux concepts actuels de la modelisation asymptotique et a leurs applications aux...
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167,92 |
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Analyse Mathématique de Modèles Non Linéaires de l'Ingénierie Pétrolière
ISBN: 9783540605881 / Francuski / Miękka / 190 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Cet ouvrage presente l'analyse mathematique de systemes issus de l'industrie petroliere. Le lecteur y trouvera, avec une presentation d'ensemble du sujet et les rappels utiles a l'autonomie du propos, des resultats recents et des methodes adaptables a d'autres domaines de la mecanique des fluides (modeles non lineaires de diffusion-transport en pedologie, simulation des pollutions, cryogenie industrielle, etc...). Par une approche heuristique de la notion de solution entropique et la definition rigoreuse de l'onde de choc, on met en relief l'importance des espaces de fonctions a variation...
Cet ouvrage presente l'analyse mathematique de systemes issus de l'industrie petroliere. Le lecteur y trouvera, avec une presentation d'ensemble du su...
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137,36 |
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Brownian Motion, Obstacles and Random Media
ISBN: 9783540645542 / Angielski / Twarda / 357 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The principal purpose of this book is to provide an account of the circle of ideas, results and techniques, which emerged roughly over the last ten years in the study of Brownian motion and random obstacles. The accumulation of results in many separate sources eventually made it impractical, if not impossible, for the nonspecialist to gain access to the developments of the subject. This book is an attempt to remedy this situation. Part of the thrill of the investigation of Brownian motion and random obsta- cles certainly stems from its many connections with various areas of math- ematics, but...
The principal purpose of this book is to provide an account of the circle of ideas, results and techniques, which emerged roughly over the last ten ye...
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cena:
201,24 |
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Stochastic Pde's and Kolmogorov Equations in Infinite Dimensions: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.
ISBN: 9783540665458 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Kolmogorov equations are second order parabolic equations with a finite or an infinite number of variables. They are deeply connected with stochastic differential equations in finite or infinite dimensional spaces. They arise in many fields as Mathematical Physics, Chemistry and Mathematical Finance. These equations can be studied both by probabilistic and by analytic methods, using such tools as Gaussian measures, Dirichlet Forms, and stochastic calculus. The following courses have been delivered: N.V. Krylov presented Kolmogorov equations coming from finite-dimensional equations, giving...
Kolmogorov equations are second order parabolic equations with a finite or an infinite number of variables. They are deeply connected with stochastic ...
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152,78 |
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Nonlinear Potential Theory and Weighted Sobolev Spaces
ISBN: 9783540675884 / Angielski / Miękka / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincare inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, "Kellogg lemmas" are...
The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Mucken...
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cena:
152,93 |
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