Author: Alexander G. GurevichPublish On: 1996-09-17

Unlike previous monographs on this subject, which are highly theoretical and written for very advanced readers, this book requires only an average college background in mathematics and experimental physics.

Author: Alexander G. Gurevich

Publisher: CRC Press

ISBN: 0849394600

Category: Technology & Engineering

Page: 464

View: 859

Written by two well-known researchers in the field, this useful reference takes an applied approach to high frequency processes including oscillations and waves in ferromagnets, antiferromagnets, and ferrimagnets. Problems evaluated include ferromagnetic and antiferromagnetic resonances, spin waves, nonlinear processes, and high frequency manifestations of interactions between the magnetic system and other systems of magnetically ordered substances as elastic waves and charge carriers. Unlike previous monographs on this subject, which are highly theoretical and written for very advanced readers, this book requires only an average college background in mathematics and experimental physics. It will be a valuable addition to the library of engineers and scientists in research and development for communications applications, and scientists interested in nonlinear magnetic phenomena. It also serves as an excellent introduction to the topic for newcomers in the field. Magnetization Oscillations and Waves not only presents results but also shows readers how to obtain them; most formulas are derived with so many details that readers can reproduce them. The book includes many summaries and tables and detailed references to significant work in the area by European researchers.

.'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Author: M.I Rabinovich

Publisher: Taylor & Francis

ISBN: 0792304454

Category: Gardening

Page: 577

View: 601

'Et mai •...• si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

The book begins with harmonic motion in which concepts like phase angle, amplitude and velocity response functions of systems are illustrated using complex numbers.

Author: K.R. Reddy

Publisher: Universities Press

ISBN: 817371018X

Category:

Page: 324

View: 685

The book begins with harmonic motion in which concepts like phase angle, amplitude and velocity response functions of systems are illustrated using complex numbers. The main emphasis is on the harmonic motion under external stimulus of periodic forces.

Assuming familiarity with the laws of physics and college-level mathematics, the book focuses on oscillations and waves whose governing differential equations are linear.

Author: Richard Fitzpatrick

Publisher: CRC Press

ISBN: 9781466566088

Category: Science

Page: 295

View: 322

Bridging lower-division physics survey courses with upper-division physics courses, Oscillations and Waves: An Introduction develops a unified mathematical theory of oscillations and waves in physical systems. Emphasizing physics over mathematics, the author includes many examples from discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. Assuming familiarity with the laws of physics and college-level mathematics, the book focuses on oscillations and waves whose governing differential equations are linear. The author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. He also introduces the conventional complex representation of oscillations and waves later in the text during the discussion of quantum mechanical waves. This helps students thoroughly understand how to represent oscillations and waves in terms of regular trigonometric functions before using the more convenient, but much more abstract, complex representation. Based on the author’s longstanding course at the University of Texas at Austin, this classroom-tested text helps students acquire a sound physical understanding of wave phenomena. It eases students’ difficult transition between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations.

This Book Explains The Various Dimensions Of Waves And Oscillations In A Simple And Systematic Manner.

Author: R. N. Chaudhuri

Publisher: New Age International

ISBN: 8122412912

Category: Oscillations

Page: 424

View: 892

This Book Explains The Various Dimensions Of Waves And Oscillations In A Simple And Systematic Manner. It Is An Unique Attempt At Presenting A Self-Contained Account Of The Subject With Step-By-Step Solutions Of A Large Number Of Problems Of Different Types. The Book Will Be Of Great Help Not Only To Undergraduate Students, But Also To Those Preparing For Various Competitive Examinations.

Fortify your knowledge of the amplitudes and frequencies associated with analytic signals and waves, and understand their role in the solution of difficult engineering and physical problems with this practical new book.

Author: D. E. Vakman

Publisher: Artech House Publishers

ISBN: UOM:39015043818239

Category: Science

Page: 207

View: 255

Fortify your knowledge of the amplitudes and frequencies associated with analytic signals and waves, and understand their role in the solution of difficult engineering and physical problems with this practical new book. It shows you how to employ one universal new method in solving challenging engineering problems related to signal processing, wave propagation, electrical and electronics engineering, mechanical and seismic oscillations, acoustics, and other areas. In clear, easy-to-understand language, and with the help of more than 1000 equations, the author illustrates how this practical approach is used to work out both new and classic problems more accurately than traditional methods.

However, the details of the steps in arriving at final solutions are worked out in detail. The book, thus, acts like any textbook and at the same time no help book is needed for further details.

Author: P. K. Mittal

Publisher: I. K. International Pvt Ltd

ISBN: 9789380578279

Category:

Page: 568

View: 803

The present book is meant for the students of undergraduate Science and Engineering courses. This course finds lots of applications, right from Mechanics, Sound, Optics, Solid State Physics, Electrodynamics to Electronics. The chapters cover a vast number of topics like free, forced, damped oscillations, normal modes of vibrations, sound waves, overdamped and ballistic oscillations, LCR circuits etc. In every chapter the topics are dealt with in detail followed by illustrated solved examples and unsolved exercises. Some previous experience with a Calculus course in which differential equations have been discussed is highly desirable. However, the details of the steps in arriving at final solutions are worked out in detail. The book, thus, acts like any textbook and at the same time no help book is needed for further details.

Important ideas and equations are displayed in boxes for easy reference, and there are numerous examples throughout the text and exercises at the end of every chapter.

Author: K. U. Ingard

Publisher: Cambridge University Press

ISBN: 052133957X

Category: Science

Page: 595

View: 434

This textbook, addressed primarily to physics and engineering students, is a comprehensive introduction to waves and oscillations, both mechanical and electromagnetic. Elementary aspects of matter waves are also considered. One objective is to illustrate the physics involved in the description and analysis of waves through a wide range of examples, from purely mechanical and purely electromagnetic to coupled electro-mechanical waves, such as plasma oscillations and hydromagnetic waves. In this process, the use of complex amplitudes in the mathematical analysis is illuminated and encouraged to make tractable a wider range of problems than is ordinarily considered in an introductory text. General concepts and wave phenomena such as wave energy and momentum, interference, diffraction, scattering, dispersion, and the Doppler effect are illustrated by numerous examples and demonstrations. Among the special topics covered are waves on periodic structures and in solids, wave guides, a detailed analysis of light scattering from thermal fluctuations of a liquid surface, and feedback instabilities. Important ideas and equations are displayed in boxes for easy reference, and there are numerous examples throughout the text and exercises at the end of every chapter. Undergraduates and graduates should find this an indispensable account of this central subject in science and engineering.

Except for digressions in Chapters 8 and 17, this book is a highly unified treatment of simple oscillations and waves.

Author: Ingram Bloch

Publisher: Springer Science & Business Media

ISBN: 9781489900500

Category: Science

Page: 318

View: 168

Except for digressions in Chapters 8 and 17, this book is a highly unified treatment of simple oscillations and waves. The phenomena treated are "simple" in that they are de scribable by linear equations, almost all occur in one dimension, and the dependent variables are scalars instead of vectors or something else (such as electromagnetic waves) with geometric complications. The book omits such complicated cases in order to deal thoroughly with properties shared by all linear os cillations and waves. The first seven chapters are a sequential treatment of electrical and mechanical oscillating systems, starting with the simplest and proceeding to systems of coupled oscillators subjected to ar bitrary driving forces. Then, after a brief discussion of nonlinear oscillations in Chapter 8, the concept of normal modes of motion is introduced and used to show the relationship between os cillations and waves. After Chapter 12, properties of waves are explored by whatever mathematical techniques are applicable. The book ends with a short discussion of three-dimensional vii viii Preface problems (in Chapter 16), and a study of a few aspects of non linear waves (in Chapter 17).

Attention is also drawn to common misconceptions resulting from uncritical use of the Fourier transform. The book offers an ideal guide for upper-level undergraduate physics students and will also benefit physics instructors.

Author: Arnt Inge Vistnes

Publisher: Springer

ISBN: 9783319723143

Category: Science

Page: 576

View: 333

In this textbook a combination of standard mathematics and modern numerical methods is used to describe a wide range of natural wave phenomena, such as sound, light and water waves, particularly in specific popular contexts, e.g. colors or the acoustics of musical instruments. It introduces the reader to the basic physical principles that allow the description of the oscillatory motion of matter and classical fields, as well as resulting concepts including interference, diffraction, and coherence. Numerical methods offer new scientific insights and make it possible to handle interesting cases that can’t readily be addressed using analytical mathematics; this holds true not only for problem solving but also for the description of phenomena. Essential physical parameters are brought more into focus, rather than concentrating on the details of which mathematical trick should be used to obtain a certain solution. Readers will learn how time-resolved frequency analysis offers a deeper understanding of the interplay between frequency and time, which is relevant to many phenomena involving oscillations and waves. Attention is also drawn to common misconceptions resulting from uncritical use of the Fourier transform. The book offers an ideal guide for upper-level undergraduate physics students and will also benefit physics instructors. Program codes in Matlab and Python, together with interesting files for use in the problems, are provided as free supplementary material.

This text presents a clear, systematic, and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves.

Author: Fritz K. Kneubühl

Publisher: Springer Science & Business Media

ISBN: 9783662034682

Category: Science

Page: 523

View: 714

This very comprehensive and practical textbook presents a clear, systematic and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. It explains even the most complicated cases clearly, with numerous illustrations for further clarification.

The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations ...

Author: P.S Landa

Publisher: Springer Science & Business Media

ISBN: 9789401587631

Category: Mathematics

Page: 544

View: 612

A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

The book covers fluid models as well as kinetic plasma mode

Author: Hans L. Pécseli

Publisher: Taylor & Francis

ISBN: 9781439878491

Category: Science

Page: 575

View: 117

Winner of an Outstanding Academic Title Award from CHOICE Magazine The result of more than 15 years of lectures in plasma sciences presented at universities in Denmark, Norway, and the United States, Waves and Oscillations in Plasmas addresses central issues in modern plasma sciences. The book covers fluid models as well as kinetic plasma models, including a detailed discussion of, for instance, collisionless Landau damping. Offering a clear separation of linear and nonlinear models, the book can be tailored for readers of varying levels of expertise. Designed to provide basic training in linear as well as nonlinear plasma dynamics, and practical in areas as diverse as the space sciences, laboratory experiments, plasma processing, and more, this book includes: Sections on basic experimental methods, facilitating students’ appreciation of experimental results from laboratory and space plasmas Elements of electromagnetic field theory, fluid mechanics, and wave dynamics, including features of nonlinear wave analysis Basic mathematical tools and other relevant material are summarized in Appendices Exercises as well as short sections that can be used for student presentations A comprehensive reference list reviewing classic papers and notable texts in the field Waves and Oscillations in Plasmas provides a solid foundation in basic plasma physics and its applications, giving a practical introduction to more advanced methods as well. Including simple physical interpretations where possible, this comprehensive, classroom-tested book places plasma sciences in the logical context of general classical physics.

For the study of non-equilibrium cooperative systems, some theoretical guid ing principle would be highly desirable. In this connection, this book pushes for ward a particular physical viewpoint based on the slaving principle.

Author: Y. Kuramoto

Publisher: Springer Science & Business Media

ISBN: 9783642696893

Category: Science

Page: 158

View: 708

Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Such systems, forming cooperative fields of a large num of interacting similar subunits, are considered as typical synergetic systems. ber Because each local subunit itself represents an active dynamical system function ing only in far-from-equilibrium situations, the entire system is capable of showing a variety of curious pattern formations and turbulencelike behaviors quite unfamiliar in thermodynamic cooperative fields. I personally believe that the nonlinear dynamics, deterministic or statistical, of fields composed of similar active (Le., non-equilibrium) elements will form an extremely attractive branch of physics in the near future. For the study of non-equilibrium cooperative systems, some theoretical guid ing principle would be highly desirable. In this connection, this book pushes for ward a particular physical viewpoint based on the slaving principle. The dis covery of tbis principle in non-equilibrium phase transitions, especially in lasers, was due to Hermann Haken. The great utility of this concept will again be dem onstrated in tbis book for the fields of coupled nonlinear oscillators.

Solved numerical problems, wherever necessary, are given in the text and in the exercises at the end of each chapter. The book is intended to be a textbook for the undergraduate students of Indian universities.

Author: N Subrahmanyam

Publisher: Vikas Publishing House

ISBN: 0706985435

Category: Oscillations

Page: 15

View: 719

The subject matter is divided into twelve chapters. Each chapter is self-contained and is treated in a comprehensive way, using the S.I. system of units. Harmonic Oscillators, Linearity and Superposition Principle, Oscillations with One Degree of Freedom, Resonance and Sharpness of Resonance, Quality Factor, Doppler Effect in Sound and Light, Medical Applications of Ultrasonics, Acoustic Intensity, Acoustic Measurements, Wave Velocity and Group Velocity, Maxwells Equations, Propagation of Electromagnetic Waves in Isotropic Media, De Broglie Waves, Heisenbergs Uncertainty Principle and Special Theory of Relatively are some of the important topics which have been given special attention. Solved numerical problems, wherever necessary, are given in the text and in the exercises at the end of each chapter. The book is intended to be a textbook for the undergraduate students of Indian universities.