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Author: Joseph Rodes Buchanan
Publisher:
ISBN:
Category : Biological rhythms
Languages : en
Pages : 154
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Book Description
Author: Joseph Rodes Buchanan
Publisher:
ISBN:
Category : Biological rhythms
Languages : en
Pages : 154
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Book Description
Author: Jack Barrett
Publisher: Royal Society of Chemistry
ISBN: 9780854046577
Category : Education
Languages : en
Pages : 188
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Book Description
This book presents basic atomic theory as given in first and second year courses at university. It demonstrates that the structure of the Periodic Table as we know it is based on sound principles. Throughout the book, theoretical concepts are presented, along with the experimental evidence for them. Foundations are laid in the introductory chapter, which deals with fundamental particles, electromagnetic radiation and Heisenberg's uncertainty principle. Atomic orbitals are then described, using a minimum of mathematics, followed by a discussion of the electron configurations of the elements. Further chapters reveal the relationships between the electronic configurations of the elements and some properties of their atoms; and the variations in the properties of their fluorides and oxides across the periods and down the groups of the Periodic Table. Ideal for the needs of undergraduate chemistry students, Tutorial Chemistry Texts is a major new series consisting of short, single topic or modular texts concentrating on the fundamental areas of chemistry taught in undergraduate science courses. Each book provides a concise account of the basic principles underlying a given subject, embodying an independent-learning philosophy and including worked examples.
Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110763524
Category : Mathematics
Languages : en
Pages : 734
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Book Description
Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.
Author: Hon Chuen Chan
Publisher: World Scientific
ISBN: 9814495530
Category : Technology & Engineering
Languages : en
Pages : 348
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Book Description
This book introduces an analytical method, the U-transformation method, for the exact analysis of structures with the periodic property. The physical meaning of U-transformation is fully explained and the application of this technique to derive exact analytical solutions for a wide variety of structures with the periodic property is thoroughly illustrated. The book also provides useful exact and explicit formulas for many practical engineering problems. Many of these solutions are new results that have just appeared in international journals. The practical engineering structures considered in the book include continuous beams, stiffened plates, trusses, grillages, double layer grids and so on.
Author: Karl H. Dovermann
Publisher: Springer
ISBN: 3540463941
Category : Mathematics
Languages : en
Pages : 234
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Book Description
The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. Special emphasis is placed on analogs of the fourfold periodicity theorems in ordinary surgery and the roles of standard general position hypotheses on the strata of manifolds with group actions. The contents of the book presuppose some familiarity with the basic ideas of surgery theory and transformation groups, but no previous knowledge of equivariant surgery is assumed. The book is designed to serve either as an introduction to equivariant surgery theory for advanced graduate students and researchers in related areas, or as an account of the authors' previously unpublished work on periodicity for specialists in surgery theory or transformation groups.
Author: Marat Akhmet
Publisher: Springer
ISBN: 303020572X
Category : Technology & Engineering
Languages : en
Pages : 368
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Book Description
The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology. Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients; Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area; Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity; Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.
Author: Murat Adıvar
Publisher: Springer Nature
ISBN: 3030421171
Category : Mathematics
Languages : en
Pages : 426
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Book Description
Motivated by recent increased activity of research on time scales, the book provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the construction of Lyapunov functionals in analyzing solutions of dynamical systems on time scales. The book is suitable for a graduate course in the format of graduate seminars or as special topics course on dynamical systems. The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics.
Author: Douglas C. Ravenel
Publisher: Princeton University Press
ISBN: 1400882486
Category : Mathematics
Languages : en
Pages : 225
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Book Description
Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.
Author: Michael Baake
Publisher: Cambridge University Press
ISBN: 1108505554
Category : Mathematics
Languages : en
Pages : 407
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Book Description
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111234177
Category : Mathematics
Languages : en
Pages : 561
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Book Description
The theory of almost periodic functions is a very active field of research for scholars. This research monograph analyzes various classes of multi-dimensional metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to the abstract Volterra integro-differential inclusions in Banach spaces.
