Download or read book Vibrating Systems written by R. F. Chisnell and published by . This book was released on 1960 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Structural and Mechanical Vibrations written by Paolo L. Gatti and published by CRC Press. This book was released on 1999-09-23 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental concepts, ideas and methods underlying all vibration phenomena are explained and illustrated in this book. The principles of classical linear vibration theory are brought together with vibration measurement, signal processing and random vibration for application to vibration problems in all areas of engineering. The book pays partic
Download or read book Solutions of Laplace s Equation written by D. R. Bland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: THIS book is an introduction both to Laplace's equation and its solutions and to a general method of treating partial differential equations. Chapter 1 discusses vector fields and shows how Laplace's equation arises for steady fields which are irrotational and solenoidal. In the second chapter the method of separation of variables is introduced and used to reduce each partial differential equation, Laplace's equa tion in different co-ordinate systems, to three ordinary differential equations. Chapters 3 and 5 are concerned with the solutions of two of these ordinary differential equations, which lead to treatments of Bessel functions and Legendre polynomials. Chapters 4 and 6 show how such solutions are combined to solve particular problems. This general method of approach has been adopted because it can be applied to other scalar and vector fields arising in the physi cal sciences; special techniques applicable only to the solu tions of Laplace's equation have been omitted. In particular generating functions have been relegated to exercises. After mastering the content of this book, the reader will have methods at his disposal to enable him to look for solutions of other partial differential equations. The author would like to thank Dr. W. Ledermann for his criticism of the first draft of this book. D. R. BLAND The University, Sussex. v Contents Preface page v 1. Occurrence and Derivation of Laplace's Equation 1. Situations in which Laplace's equation arises 1 2. Laplace's equation in orthogonal curvilinear co-ordinates 8 3.
Download or read book Complex Numbers written by Walter Ledermann and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE purpose of this book is to prescnt a straightforward introduction to complex numbers and their properties. Complex numbers, like other kinds of numbers, are essen tially objects with which to perform calculations a:cording to certain rules, and when this principle is borne in mind, the nature of complex numbers is no more mysterious than that of the more familiar types of numbers. This formal approach has recently been recommended in a Reportt prepared for the Mathematical Association. We believe that it has distinct advantages in teaching and that it is more in line with modern algebraical ideas than the alternative geometrical or kinematical definitions of v -1 that used to be proposed. On the other hand, an elementary textbook is clearly not the place to enter into a full discussion of such questions as logical consistency, which would have to be included in a rigorous axiomatic treatment. However, the steps that had to be omitted (with due warning) can easily be filled in by the methods of abstract algebra, which do not conflict with the 'naive' attitude adopted here. I should like to thank my friend and colleague Dr. J. A. Green for a number of valuable suggestions, especially in connection with the chapter on convergence, which is a sequel to his volume Sequences and Series in this Library.
Download or read book Partial Derivatives written by P. J. Hilton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: THIS book, like its predecessors in the same series, is in tended primarily to serve the needs of the university student in the physical sciences. However, it begins where a really elementary treatment of the differential calculus (e. g. , Dif ferential Calculus,t in this series) leaves off. The study of physical phenomena inevitably leads to the consideration of functions of more than one variable and their rates of change; the same is also true of the study of statistics, economics, and sociology. The mathematical ideas involved are des cribed in this book, and only the student familiar with the corresponding ideas for functions of a single variable should attempt to understand the extension of the method of the differential calculus to several variables. The reader should also be warned that, with the deeper penetration into the subject which is required in studying functions of more than one variable, the mathematical argu ments involved also take on a more sophisticated aspect. It should be emphasized that the basic ideas do not differ at all from those described in DC, but they are manipulated with greater dexterity in situations in which they are, perhaps, intuitively not so obvious. This remark may not console the reader bogged down in a difficult proof; but it may well happen (as so often in studying mathematics) that the reader will be given insight into the structure of a proof by follow ing the examples provided and attempting the exercises.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1969 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Programming written by Trustrum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programming is a relatively modern branch of Mathe matics, which is a result of the more scientific approach to management and planning of the post-war era. The purpose of this book is to present a mathematical theory of the subject, whilst emphasising the applications and the techniques of solution. An introduction to the theory of games is given in chapter five and the relationship between matrix games and linear programmes is established. The book assumes that the reader is familiar with matrix algebra and the background knowledge required is covered in the book, Linear Equations by P.M. Cohn, of this series. In fact the notation used in this text conforms with that intro duced by Cohn. The book is based on a course of about 18 lectures given to Mathematics and Physics undergraduates. Several examples are worked out in the text and each chapter is followed by a set of examples. I am grateful to my husband for many valuable suggestions and advice, and also to Professor W. Ledermann, for encourag ing me to write this book.
Download or read book How to Find Out About Physics written by B. Yates and published by Elsevier. This book was released on 2013-10-22 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to Find Out about Physics: A Guide to Sources of Information Arranged by the Decimal Classification is an index of materials in physics. The scheme of presentation in the selection utilizes the Dewey Decimal Classification. The text first covers the careers in physics. The subsequent chapters deal with various physics materials, such as books, handbooks, dissertations, periodicals, and abstracts. The remaining chapters cover specific areas of physics, which includes optics, relativity, quantum, mechanics, and nuclear physics. The book will be of great use to students, librarian, and physicists.
Download or read book Multiple Integrals written by Walter Ledermann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give an elementary treatment of multiple integrals. The notions of integrals extended over a curve, a plane region, a surface and a solid are introduced in tum, and methods for evaluating these integrals are presented in detail. Especial reference is made to the results required in Physics and other mathematical sciences, in which multiple integrals are an indispensable tool. A full theoretical discussion of this topic would involve deep problems of analysis and topology, which are outside the scope of this volume, and concessions had to be made in respect of completeness without, it is hoped, impairing precision and a reasonable standard of rigour. As in the author's Integral Calculus (in this series), the main existence theorems are first explained informally and then stated exactly, but not proved. Topological difficulties are circumvented by imposing some what stringent, though no unrealistic, restrictions on the regions of integration. Numerous examples are worked out in the text, and each chapter is followed by a set of exercises. My thanks are due to my colleague Dr. S. Swierczkowski, who read the manuscript and made valuable suggestions. w. LEDERMANN The University of Sussex, Brighton.
Download or read book Introduction to Abstract Algebra written by C. R. J. Clapham and published by Routledge/Thoemms Press. This book was released on 1969 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Methods in the Theory of Nonlinear Oscillations written by Vi︠a︡cheslav Mikhaĭlovich Starzhinskiĭ and published by . This book was released on 1980 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus of Variations written by A. M. Arthurs and published by Routledge & Kegan Paul Books. This book was released on 1975 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Mathematical Analysis written by C. Clapham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have tried to provide an introduction, at an elementary level, to some of the important topics in real analysis, without avoiding reference to the central role which the completeness of the real numbers plays throughout. Many elementary textbooks are written on the assumption that an appeal to the complete ness axiom is beyond their scope; my aim here has been to give an account of the development from axiomatic beginnings, without gaps, while keeping the treatment reasonably simple. Little previous knowledge is assumed, though it is likely that any reader will have had some experience of calculus. I hope that the book will give the non-specialist, who may have considerable facility in techniques, an appreciation of the foundations and rigorous framework of the mathematics that he uses in its applications; while, for the intending mathe matician, it will be more of a beginner's book in preparation for more advanced study of analysis. I should finally like to record my thanks to Professor Ledermann for the suggestions and comments that he made after reading the first draft of the text.
Download or read book The Mechanics of Machines written by Walter John Dinnie Annand and published by . This book was released on 1966 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Paperbacks in Print written by and published by . This book was released on 1967 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book British Books in Print written by and published by . This book was released on 1985 with total page 2096 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Publishers Trade List Annual written by and published by . This book was released on 1974 with total page 1902 pages. Available in PDF, EPUB and Kindle. Book excerpt:
