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Author: Marian Apostol Publisher: Cambridge Scholars Publishing ISBN: 1527504972 Category : Mathematics Languages : en Pages : 199
Book Description
This book presents an exploration of the wave and vibration equation in one, two and three dimensions, with emphasis on singular solutions. The distinction between the wave treatment and the vibration treatment is particularly discussed with the causality principle being the leading principle for waves in this context. The necessity of regularization of the singular solutions is presented whilst the scattered waves are differentiated from the reflected (and refracted) waves, according to Huygens principle. The physical content of the wave equation is underlined. Relevant applications are included and some more exotic phenomena are discussed, such as pulses, tsunami and storm breakers, the ringing of bells and the collapsing of towers, and classical waves and vibrations in an elastic half-space or a sphere. This book is oriented to students, instructors, teachers, researchers in physics and applied mathematics, as well as engineers and other practitioners of mathematical physics.
Author: Marian Apostol Publisher: Cambridge Scholars Publishing ISBN: 1527504972 Category : Mathematics Languages : en Pages : 199
Book Description
This book presents an exploration of the wave and vibration equation in one, two and three dimensions, with emphasis on singular solutions. The distinction between the wave treatment and the vibration treatment is particularly discussed with the causality principle being the leading principle for waves in this context. The necessity of regularization of the singular solutions is presented whilst the scattered waves are differentiated from the reflected (and refracted) waves, according to Huygens principle. The physical content of the wave equation is underlined. Relevant applications are included and some more exotic phenomena are discussed, such as pulses, tsunami and storm breakers, the ringing of bells and the collapsing of towers, and classical waves and vibrations in an elastic half-space or a sphere. This book is oriented to students, instructors, teachers, researchers in physics and applied mathematics, as well as engineers and other practitioners of mathematical physics.
Author: MARIAN. APOSTOL Publisher: ISBN: 9781527504967 Category : Languages : en Pages : 0
Book Description
This book presents an exploration of the wave and vibration equation in one, two and three dimensions, with emphasis on singular solutions. The distinction between the wave treatment and the vibration treatment is particularly discussed with the causality principle being the leading principle for waves in this context. The necessity of regularization of the singular solutions is presented whilst the scattered waves are differentiated from the reflected (and refracted) waves, according to Huygens principle. The physical content of the wave equation is underlined. Relevant applications are included and some more exotic phenomena are discussed, such as pulses, tsunami and storm breakers, the ringing of bells and the collapsing of towers, and classical waves and vibrations in an elastic half-space or a sphere. This book is oriented to students, instructors, teachers, researchers in physics and applied mathematics, as well as engineers and other practitioners of mathematical physics.
Author: S. Kaliski Publisher: Elsevier ISBN: 148329160X Category : Technology & Engineering Languages : en Pages : 395
Book Description
This book gives a comprehensive overview of wave phenomena in different media with interacting mechanical, electromagnetic and other fields. Equations describing wave propagation in linear and non-linear elastic media are followed by equations of rheological models, models with internal rotational degrees of freedom and non-local interactions. Equations for coupled fields: thermal, elastic, electromagnetic, piezoelectric, and magneto-spin with adequate boundary conditions are also included. Together with its companion volume Vibrations and Waves. Part A: Vibrations this work provides a wealth of information about dynamical phenomena in different media and fields, which will be of considerable interest to both scientists and graduate students.
Author: W. Gough Publisher: ISBN: Category : Science Languages : en Pages : 272
Book Description
Vibrations and waves are of fundamental importance themselves as well as being essential prerequisites for many other topics in physics and engineering. The first edition of this undergraduate text has been revised to include the most developments within the discipline of vibrations and waves.
Author: R. N. Chaudhuri Publisher: New Age International ISBN: 9788122412918 Category : Oscillations Languages : en Pages : 440
Book Description
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.
Author: Herbert John Pain Publisher: John Wiley & Sons ISBN: Category : Science Languages : en Pages : 504
Book Description
The main theme of this best-selling book is that the transmission of energy by wave propagation is fundamental to almost every branch of physics. Therefore, besides giving students a thorough grounding in the theory of wave and vibrations, the book also demonstrates the pattern and unity of a large part of physics. This new edition has been thoroughly revised with the help of Professor Lyle Roelofs of Haverford College, USA. As with earlier editions, there are large numbers of problems together with hints on how to solve them.
Author: A Satya Narayanan Publisher: CRC Press ISBN: 1466590947 Category : Mathematics Languages : en Pages : 544
Book Description
Waves and oscillations are found in large scales (galactic) and microscopic scales (neutrino) in nature. Their dynamics and behavior heavily depend on the type of medium through which they propagate.Waves and Oscillations in Nature: An Introduction clearly elucidates the dynamics and behavior of waves and oscillations in various mediums. It present
Author: A.P. French Publisher: CRC Press ISBN: 1482289350 Category : Science Languages : en Pages : 329
Book Description
The M.I.T. Introductory Physics Series is the result of a program of careful study, planning, and development that began in 1960. The Education Research Center at the Massachusetts Institute of Technology (formerly the Science Teaching Center) was established to study the process of instruction, aids thereto, and the learning process itself, with special reference to science teaching at the university level. Generous support from a number of foundations provided the means for assembling and maintaining an experienced staff to co-operate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning careers in the sciences. After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken.
Author: Marian Apostol
Author: Marian Apostol
Author: MARIAN. APOSTOL
Author: S. Kaliski
Author: W. Gough
Author: David Russell Bland
Author: R. N. Chaudhuri
Author: Herbert John Pain
Author: A Satya Narayanan
Author: Benjamin Crowell
Author: A.P. French