Автор: Effinger, Gove W., Название: An elementary transition to abstract mathematics / ISBN: 0367336936 ISBN-13(EAN): 9780367336936 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text is intended to help students move from introductory courses to those where rigor and proof play a much greater role. The emphasis is on precise definitions of mathematical objects and rigorous proofs of properties.
Автор: Nicholson, Neil R., Название: A transition to proof : ISBN: 0367201577 ISBN-13(EAN): 9780367201579 Издательство: Taylor&Francis Рейтинг: Цена: 14086.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The fundamental tool of theoretical mathematics is mathematical proof. Any claim or justification a mathematician makes must be proven. This book is designed for a reader who wants to learn what exactly a mathematical proof is, how they are constructed, and how to go about writing one.
Автор: Krantz Название: Transition to Analysis with Proof ISBN: 1138064068 ISBN-13(EAN): 9781138064065 Издательство: Taylor&Francis Рейтинг: Цена: 12554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered.
Автор: de Maesschalck Peter, Dumortier Freddy, Roussarie Robert Название: Canard Cycles: From Birth to Transition ISBN: 3030792323 ISBN-13(EAN): 9783030792329 Издательство: Springer Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part I Basic Notions.- 1 Basic Definitions and Notions.- 2 Local Invariants and Normal Forms.- 3 The Slow Vector Field.- 4 Slow-Fast Cycles.- 5 The Slow Divergence Integral.- 6 Breaking Mechanisms.- 7 Overview of Known Results.- Part II Technical Tools.- 8 Blow-Up of Contact Points.- 9 Center Manifolds.- 10 Normal Forms.- 11 Smooth Functions on Admissible Monomials and More.- 12 Local Transition Maps.- Part III Results and Open Problems.- 13 Ordinary Canard Cycles.- 14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point.- 15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point.- 16 Outlook and Open Problems.- Index.- References.
Автор: Eduard Reithmeier Название: Periodic Solutions of Nonlinear Dynamical Systems ISBN: 3540545123 ISBN-13(EAN): 9783540545125 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addressing mathematicians and engineers working with nonlinear dynamics, this monograph describes the multiple shooting method, which is employed in numerically computing limit cycles. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations.
Автор: Tian Ma; Shouhong Wang Название: Phase Transition Dynamics ISBN: 1493944126 ISBN-13(EAN): 9781493944125 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces a general principle of dynamic transitions for dissipative systems, establishes a systematic dynamic transition theory, and explores the physical implications of applications of the theory to a range of problems in the nonlinear sciences.
Автор: De Maesschalck Название: Canard Cycles ISBN: 3030792358 ISBN-13(EAN): 9783030792350 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of slow-fast families of two-dimensional vector fields. The central question of controlling the limit cycles is addressed in detail and strong results are presented with complete proofs. In particular, the book provides a detailed study of the structure of the transitions near the critical set of non-isolated singularities. This leads to precise results on the limit cycles and their bifurcations, including the so-called canard phenomenon and canard explosion. The book also provides a solid basis for the use of asymptotic techniques. It gives a clear understanding of notions like inner and outer solutions, describing their relation and precise structure. The first part of the book provides a thorough introduction to slow-fast systems, suitable for graduate students. The second and third parts will be of interest to both pure mathematicians working on theoretical questions such as Hilbert's 16th problem, as well as to a wide range of applied mathematicians looking for a detailed understanding of two-scale models found in electrical circuits, population dynamics, ecological models, cellular (FitzHugh–Nagumo) models, epidemiological models, chemical reactions, mechanical oscillators with friction, climate models, and many other models with tipping points.
Автор: Tian Ma; Shouhong Wang Название: Phase Transition Dynamics ISBN: 3030292592 ISBN-13(EAN): 9783030292591 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.This second edition introduces a unified theory for topological phase transitions, provides a first-principle approach to statistical and quantum physics, and offers a microscopic mechanism of quantum condensates (Bose-Einstein condensation, superfluidity, and superconductivity). Reviews of first edition:“The goals of this interesting book are to derive a general principle of dynamic transitions for dissipative systems and to establish a systematic dynamic transition theory for a wide range of problems in the nonlinear sciences. … The intended audience for this book includes students and researchers working on nonlinear problems in physics, meteorology, oceanography, biology, chemistry, and the social sciences.” (Carlo Bianca, Mathematical Reviews, December, 2014)“This is a clearly written book on numerous types of phase transitions taken in a broad sense when a dynamical dissipative system transforms from one physical state into another. … The book is a very useful literature not only for the professionals in the field of dynamic systems and phase transitions but also for graduate students due to its interdisciplinary coverage and state-of-the-art level.” (Vladimir ?ade?, zbMATH, Vol. 1285, 2014)
Автор: Nicholas D. Alikakos; Giorgio Fusco; Panayotis Smy Название: Elliptic Systems of Phase Transition Type ISBN: 3319905716 ISBN-13(EAN): 9783319905716 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabr? (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, the Caffarelli-C?rdoba density estimates that played a major role in Savin's proof. It also introduces an alternative method for obtaining pointwise estimates. Key features and topics of this self-contained, systematic exposition include:• Resolution of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions.• Preliminary material beginning with the stress-energy tensor, via which monotonicity formulas, and Hamiltonian and Pohozaev identities are developed, including a self-contained exposition of the existence of standing and traveling waves.• Tools that allow the derivation of general properties of minimizers, without any assumptions of symmetry, such as a maximum principle or density and pointwise estimates.• Application of the general tools to equivariant solutions rendering exponential estimates, rigidity theorems and stratification results. This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations – ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or the applied mathematics of materials science.
Описание: This book analyzes mathematical models of time-dependent physical phenomena on microscopic, macroscopic and mesoscopic levels. It provides a rigorous derivation of each level from the preceding one and examines the resulting mesoscopic equations in detail.
Автор: Effinger, Gove Название: An Elementary Transition to Abstract Mathematics ISBN: 103247517X ISBN-13(EAN): 9781032475172 Издательство: Taylor&Francis Рейтинг: Цена: 7195.00 р. Наличие на складе: Поставка под заказ.
Автор: Schmid Peter Название: Stability and Transition in Shear Flows ISBN: 1461265649 ISBN-13(EAN): 9781461265641 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course.
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