Singular and Degenerate Cauchy Problems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Singular and Degenerate Cauchy Problems PDF full book. Access full book title Singular and Degenerate Cauchy Problems by . Download full books in PDF and EPUB format.
Author:
Publisher: Academic Press
ISBN: 008095636X
Category : Mathematics
Languages : en
Pages : 343
Get Book Here
Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author:
Publisher: Academic Press
ISBN: 008095636X
Category : Mathematics
Languages : en
Pages : 343
Get Book Here
Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author: Doreen Massey
Publisher: SAGE
ISBN: 9781412903622
Category : Science
Languages : en
Pages : 236
Get Book Here
Book Description
Questioning the implicit assumptions that we make about space, this text considers conventional notions of social science, as well as demonstrating how a vigorous understanding of space can impact on political consequences.
Author: Edward Luttwak
Publisher: JHU Press
ISBN: 1421419459
Category : History
Languages : en
Pages : 297
Get Book Here
Book Description
A newly updated edition of this classic, hugely influential account of how the Romans defended their vast empire. At the height of its power, the Roman Empire encompassed the entire Mediterranean basin, extending much beyond it from Britain to Mesopotamia, from the Rhine to the Black Sea. Rome prospered for centuries while successfully resisting attack, fending off everything from overnight robbery raids to full-scale invasion attempts by entire nations on the move. How were troops able to defend the Empire’s vast territories from constant attacks? And how did they do so at such moderate cost that their treasury could pay for an immensity of highways, aqueducts, amphitheaters, city baths, and magnificent temples? In The Grand Strategy of the Roman Empire, seasoned defense analyst Edward N. Luttwak reveals how the Romans were able to combine military strength, diplomacy, and fortifications to effectively respond to changing threats. Rome’s secret was not ceaseless fighting, but comprehensive strategies that unified force, diplomacy, and an immense infrastructure of roads, forts, walls, and barriers. Initially relying on client states to buffer attacks, Rome moved to a permanent frontier defense around 117 CE. Finally, as barbarians began to penetrate the empire, Rome filed large armies in a strategy of “defense-in-depth,” allowing invaders to pierce Rome’s borders. This updated edition has been extensively revised to incorporate recent scholarship and archeological findings. A new preface explores Roman imperial statecraft. This illuminating book remains essential to both ancient historians and students of modern strategy.
Author:
Publisher:
ISBN: 9780835248518
Category : Authors
Languages : en
Pages :
Get Book Here
Book Description
Author: R.K. Pathria
Publisher: Elsevier
ISBN: 1483186881
Category : Science
Languages : en
Pages : 542
Get Book Here
Book Description
Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.
Author: Mikhail Gromov
Publisher: Springer Science & Business Media
ISBN: 0817645837
Category : Mathematics
Languages : en
Pages : 594
Get Book Here
Book Description
This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index round out this unique and beautiful book.
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817646132
Category : Mathematics
Languages : en
Pages : 757
Get Book Here
Book Description
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Author: Ryszard Andrzejewski
Publisher: Springer Science & Business Media
ISBN: 0387243593
Category : Technology & Engineering
Languages : en
Pages : 327
Get Book Here
Book Description
On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition, and quality. The number of such vehicles, including automobiles and all manner of trucks, increases continually with a growing positive impact on accessibility and a growing negative impact on interactions among humans and their relationship to the surrounding environment. This multiplicity of vehicles, through their physical impact and their emissions, is responsible for, among other negative results: waste of energy, pollution through emission of harmful compounds, degradation of road surfaces, crowding of roads leading to waste of time and increase of social stress, and decrease in safety and comfort. In particular, the safety of vehicular traffic depends on a man-vehicle-road system that includes both active and passive security controls. In spite of the drawbacks mentioned above, the governments of almost every country in the world not only expect but facilitate improvements in vehicular transport performance in order to increase such parameters as load capacity and driving velocity, while decreasing such parameters as costs to passengers, energy resources investments, fuel consumption, etc. Some of the problems have clear, if not always easily attainable, solutions.
Author: J.C. Willems
Publisher: Springer Science & Business Media
ISBN: 1475729537
Category : Mathematics
Languages : en
Pages : 446
Get Book Here
Book Description
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Author: Chikako Tanaka
Publisher: Springer Science & Business Media
ISBN: 9783764352844
Category : Medical
Languages : en
Pages : 354
Get Book Here
Book Description
Highlighting the current developments and future directions in GABA research, the ambitious aim of this topical volume is to cover GABA from the molecular mechanisms of its transmission to new targets for pharmaceutical research. Distinguished scientists at the forefront of GABA research were invited to contribute reviews on glutamate decarboxylase and autoimmunity, molecular structure and functional regulation of GABA transporters, transmitter release and GABA receptor regulation, GABA receptor subtypes and functional regulation, and GABA receptor ligands and their therapeutic application. Describing the latest advances in what has become a rapidly-evolving field, this volume will prove immensely valuable to neuroscientists, pharmacologists, biochemists, and physiologists working in the field of GABA research.
