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But to those who are seeking an introductory treatment of textbook character to serve perhaps as annalysis sequel to the author’s Differential Geometry it is to be recommended.
Advanced Vector Analysis by C.E. Weatherburn
We welcome this elementary treatise on Vector Analysis as a book that has been wanted in English for some time. Indeed it follows very closely the content, notation and arrangement of the former’s Riemannian Geometry.
Science Books Mechanics Books Brand: In spite of the criticisms which I make, however, I would recommend this book to students who have obtained some idea of the aims and objectives of statistical theory, and who are desirous of learning the development of the mathematical technique as well as its application.
The author of the book under review has, however, explicitly restricted its scope to be “a mathematical text on the theory of statistics” only, and since well written books of this type also are comparatively scarce, it will be a welcome addition to the already existing texts. The author’s geometric insight is keen, clever, and instructive.
Most of the content of the book should by now be standard knowledge. He adheres to the notation of Gibbs. Here we begin with partial differentiation and are introduced at once to the gradient of a scalar and the divergence and curl of a vector function. The author of this book is Professor of Mathematics in the University of Western Australia, and has previously published books on differential geometry and Riemannian geometry and the tensor calculus.
Apart from the merits ele,entary the book as analysia text on Statistical Mathematics, it will also be a useful help-book for the students of the degree course in Statistics, when read in conjunction with the usual texts. Professor Weatherburn has shown himself to be an enthusiast for vectors, and so, as one would expect, his book makes great play with vector methods and is full of rather repulsive-looking dots and crosses and Clarendon type.
Register now to get updates on promotions and. The branches of the subject discussed are not usually included in an honours course in English universities, but students who have studied the subject to degree standard will find this book an excellent introduction to further work. To ask other readers questions about Advanced Vector Vecrorplease sign up.
This weatehrburn the paper-back edition of a book which first appeared inwith a second edition inand which has been weaterburn in, and This book is a sequel to the author’s Elementary Vector Analysis, which elementaey with vector algebra and differentiation with respect to one scalar variable.
The book is carefully written, and the result is a high order of clarity throughout. The first thing that strikes the reader on turning the pages of the two volumes is that consistent use of vector analysis is made throughout. Item is available at. This has resulted in the appearance of several new volumes on differential geometry, in which the methods of the standard works on the subject have been replaced by those which have proved so successful in satisfying modern requirements.
Advanced Vector Analysis
Thanks for telling us about the problem. It will be a weathrburn to some that the book was not constructed along more original and more stimulating lines although this is much to demand of an introductory text.
He keeps it clearly in mind as the first of the two objects he set out to achieve and does exceedingly well by it.
Lists with This Book. The need for a book of this kind has long been felt, and Professor Weatherburn is to be congratulated on filling it so admirably. The treatment is admirably clear and interesting, and exhibits the advantages of the use of vector methods in mathematical physics, provided that they are kept in their proper place. To anyone who ventures on this undertaking these two volumes before us will be very useful; they should be in the hands of the students as well as on the lecturer’s desk.
The presentation is very clear and pleasant, yet concise enough.
Elementary Vector Analysis
It is not a little astonishing to realize after reading the book how much both of theory and of example has been set comfortably in pages. But it is purposely more elementary, less rigorous and less complete.
In the next chapter the curvature tensor is introduced and the rest of the book consists of applications to hypersurfaces and general subspaces of a Riemannian space; here the work is simplified by the use of a generalised form of covariant derivative which is most appropriate in this connection, when functions arise which involve aalysis coordinates both in the subspace and in the enveloping manifold. The book will certainly be of use to those who do not read German or Italian ; moreover, there are plenty of instructive examples.
In cector an opinion on weatherbur of these volumes, we elrmentary consider primarily the success or failure of the use made of these new methods, for therein generally lies the reason for the existence of the book.
Professor Weatherburn has based his book on lectures given to students at the University of Western Australia. The images represent actual product though color of the image and elemnetary may slightly differ. Additional Handling Charges are levied for other expenses incurred while delivering weatnerburn your location. But, whereas the first volume employs, except in the last chapter, on differential invariants, only the algebra of vectors, the second volume uses also, and to a great extent, the differential and integral calculus of vectors.
Want to Read saving…. Moreover, it is worthy of remark in this connection that the author’s geometric insight and intuition are as clear and penetrating as his geometric interest is dominant. It seems appropriate, therefore, to make a few comments on certain characteristics which the two volumes have in common, before considering the second volume specifically.
There are no discussion topics on this book yet. Help Center Got a question? More Mechanics Books From Books. The reason why this course is recommended is that the subject has yet to find an established place in the curriculum of many mathematical schools, and a wider knowledge of the field is veector to lead to the realization that more must be done to cater for the needs of students who are interested in the subject, either for its own sake or, more eoementary, because interesting and lucrative avenues for employment are open to those who have been trained as statisticians.
Shaw : Review: C. E. Weatherburn, Elementary Vector Analysis
Trivia About Advanced Vector A He has not; so far as is known, published any papers on the theory of statistics, and it is thus interesting to see the attitude of a mathematician, with some ability as a text-book writer, who has now turned to statistics as his theme.
Moreover, dyadics are introduced in the middle of the volume and are used to good effect throughout the later chapters. Great use is made of vector methods, and in this respect the author rather surprisingly claims some originality of treatment. The treatment is remarkably lucid and brings out well the connection between the different distributions, and the ellementary unity of the subject. Only the author’s strong interest in geometry and keen geometrical insight save the book from becoming too formal.
This is perhaps a good thing; it will wfatherburn the teacher to decide for himself what his students should be taught. For students who are quite new to statistics, a good deal would need to be added by the instructor to keep a course based on this book from being quite formal. This is a reprint of the 2nd edition which differed from the 1st edition [ ‘,”,’ ] only in the correction of a few errors and misprints, the addition of new references and of a section on the distribution of the range of a sample.
The student will find it a convenient collection of them.