This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and masters students. It places special emphasis on motivation and understanding, while developing a solid intuition for the m...Loe edasi...
(Ilmumisaeg: 12-Feb-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031628092)
This book is the fourth of 15 related monographs presents systematically a theory of crossing-cubic nonlinear systems. In this treatment, at least one vector field is crossing-cubic, and the other vector field can be constant, crossing-linear, cro...Loe edasi...
(Ilmumisaeg: 20-Nov-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031571077)
This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimens...Loe edasi...
(Ilmumisaeg: 08-Nov-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031571114)
This book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector field is self-cubic, and the other vector field can be constant, self-linear, self-quadratic, or...Loe edasi...
(Ilmumisaeg: 31-Oct-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031484711)
This book, the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimens...Loe edasi...
(Ilmumisaeg: 11-Oct-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031595585)
This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this vo...Loe edasi...
This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynam...Loe edasi...
(Ilmumisaeg: 16-Feb-2024, Hardback, Kirjastus: World Scientific Europe Ltd, ISBN-13: 9781800614963)
The language of the universe is mathematics, but how exactly do you know that all parts of the universe speak the same language? Benioff builds on the idea that the entity that gives substance to both mathematics and physics is the fundamental fie...Loe edasi...
This book focuses on the study of the volume of vector fields on Riemannian manifolds. Providing a thorough overview of research on vector fields defining minimal submanifolds, and on the existence and characterization of volume minimizers, it includ...Loe edasi...
(Ilmumisaeg: 26-Jul-2023, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031291517)
Using a designed vector field to guide robots to follow a given geometric desired path has found a range of practical applications, such as underwater pipeline inspection, warehouse navigation, and highway traffic monitoring. It is thus in great n...Loe edasi...
We describe higher dimensional generalizations of Ramanujans classical differential relations satisfied by the Eisenstein series E2, E4, E6. Such higher Ramanujan equations are given geometrically in terms of vector fields living on certain modul...Loe edasi...
This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and masters students. It places special emphasis on motivation and understanding, while developing a solid intuition for the m...Loe edasi...
This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynam...Loe edasi...
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides differ...Loe edasi...
(Ilmumisaeg: 27-Dec-2022, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811261688)
Hörmander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, which are usually degenerate elliptic-parabolic, but nevertheless hypoelliptic, that is highly regula...Loe edasi...
To mark the opening of a new mathematics and physics building at the California Institute of Technology, a symposium was held during February 2019, and the organizing committee decided to publish expanded versions of the lectures. The nine papers...Loe edasi...
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides differ...Loe edasi...
(Ilmumisaeg: 30-Aug-2019, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814368759)
Putting constraints on the nature of the interaction between nonsingular gradient-like fields and the boundary of a smooth compact manifold have profound implications for the topology of the manifold, and this book describes these implications. Along...Loe edasi...
(Ilmumisaeg: 14-Jan-2019, Paperback / softback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811221248)
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the fram...Loe edasi...
(Ilmumisaeg: 14-Jan-2019, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813276611)
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the fram...Loe edasi...
In this article the authors study Hamiltonian flows associated to smooth functions H:\mathbb R^4 \to \mathbb R restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point p_c in the zero e...Loe edasi...
The authors consider operators of the form L=\sum_{i=1}^{n}X_{i}^{2}+X_{0} in a bounded domain of \mathbb{R}^{p} where X_{0},X_{1},\ldots,X_{n} are nonsmooth Hormanders vector fields of step r such that the highest order commutators are onl...Loe edasi...
Chris Miller, Jean-Philippe Rolin, Patrick Speissegger
Sari: Fields Institute Communications
(Ilmumisaeg: 15-Oct-2014, Paperback / softback, Kirjastus: Springer-Verlag New York Inc., ISBN-13: 9781493901029)
?This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses...Loe edasi...
Italian mathematicians Albano (U. of Rome) and Bove (U. of Bologna) explore the (micro)hypoanalyticity and the Genrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. Using the Fourier Bros Iagolnitze...Loe edasi...
Chris Miller, Jean-Philippe Rolin, Patrick Speissegger
Sari: Fields Institute Communications
(Ilmumisaeg: 14-Sep-2012, Hardback, Kirjastus: Springer-Verlag New York Inc., ISBN-13: 9781461440413)
?This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses ass...Loe edasi...
An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and ex...Loe edasi...
Kouei Sekigawa, Vladimir S. Gerdjikov, Yasuo Matsushita, I.M. Mladenov
Sari: AIP Conference Proceedings / Mathematical and Statistical Physics
(Ilmumisaeg: 20-Jul-2011, Paperback / softback, Kirjastus: American Institute of Physics, ISBN-13: 9780735408951)
Provides information to the specialists in differential geometry, complex analysis and mathematical physics. This title is suitable for scholars and scientists working or interested in classical and quantum mechanics, in cell membranes, integrabilit...Loe edasi...
In this work the authors deal with linear second order partial differential operators of the following type H=\partial_{t}-L=\partial_{t}-\sum_{i,j=1}^{q}a_{ij}(t,x) X_{i}X_{j}-\sum_{k=1}^{q}a_{k}(t,x)X_{k}-a_{0}(t,x) where X_{1},X_{2},\ldots,X_{...Loe edasi...
Studies sufficient conditions for the boundedness of the Hilbert transform \textrm{H}_{v, \epsilon }f(x) := \text{p.v.}\int_{-\epsilon}^{\epsilon} f(x-yv(x))\;\frac{dy}y where \epsilon is a suitably chosen parameter, determined by the smoothness...Loe edasi...
This text begins with an optional chapter on the three main emphases of linear algebra: linear equations, best approximation, and diagonalization. The core of the book presents an axiomatic development of the most important elements of finite-dimensi...Loe edasi...
(Ilmumisaeg: 17-Dec-2009, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642052040)
Many authors have questioned the use of the index of the vector field, and of the Chern classes, if the underlying space becomes singular. This book discusses their explorations within the framework of the obstruction theory and the Chern-Weil the...Loe edasi...
(Ilmumisaeg: 20-Mar-2008, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9780521878579)
Detailing the main methods in the theory of involutive systems of complex vector fields, this book examines the major results from the last 25 years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is...Loe edasi...
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This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrai...Loe edasi...
(Ilmumisaeg: 23-Feb-2000, Hardback, Kirjastus: Taylor & Francis Ltd, ISBN-13: 9789056992019)
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Presenting a classical approach to the foundations and development of the geometry of vector fields, this volume tackles three orthogonal systems and applications in mechanics. Other topics, including vector fields, Pfaff forms and systems in n-dime...Loe edasi...
(Ilmumisaeg: 15-Jul-1991, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821845530)
Can we be absolutely sure that a polynomial vector field on the real plane has a finite number of limit cycles? Yes, one proof involves the theory of Dulac, going out into the complex domain, the resolution of singularities, the geometric theory of n...Loe edasi...
(Ilmumisaeg: 01-May-1991, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789810205782)
Emphasizing the underlying quantum field theory throughout, deals with cononical quantization, Feynman rules, and renormalization of Yang-Mills theories in algebraic non-covariant gauges, typically axial and light-cone gauges. Not a review of the lit...Loe edasi...
