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Author: Matiur Rahman
Publisher: WIT Press (UK)
ISBN:
Category : Mathematics
Languages : en
Pages : 328
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Book Description
"This book is suitable for a one-semester course for senior undergraduates and junior graduate students in science and engineering. It is also suitable for the scientists and engineers working on practical problems."--BOOK JACKET.
Author: Matiur Rahman
Publisher: WIT Press (UK)
ISBN:
Category : Mathematics
Languages : en
Pages : 328
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Book Description
"This book is suitable for a one-semester course for senior undergraduates and junior graduate students in science and engineering. It is also suitable for the scientists and engineers working on practical problems."--BOOK JACKET.
Author: Harold M. Edwards
Publisher: Springer Science & Business Media
ISBN: 9780817637071
Category : Mathematics
Languages : en
Pages : 532
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Book Description
This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.
Author: Charles Ernest Weatherburn
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 252
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Book Description
Author: Michael J. Crowe
Publisher: Courier Corporation
ISBN: 0486679101
Category : Mathematics
Languages : en
Pages : 306
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Book Description
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
Author: Antonio Galbis
Publisher: Springer Science & Business Media
ISBN: 1461422000
Category : Mathematics
Languages : en
Pages : 383
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Book Description
The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.
Author: Louis Brand
Publisher: Courier Corporation
ISBN: 048615484X
Category : Mathematics
Languages : en
Pages : 306
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Book Description
This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
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Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author: C E (Charles Ernest) B Weatherburn
Publisher: Hassell Street Press
ISBN: 9781013508875
Category :
Languages : en
Pages : 248
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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: A. I. Borisenko
Publisher: Courier Corporation
ISBN: 0486131904
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
Author: Kenneth Miller
Publisher: Createspace Independent Publishing Platform
ISBN: 9781986491464
Category :
Languages : en
Pages : 118
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Book Description
This brief and inexpensive text is intended to provide a modern introduction to vector analysis analysis in R2 and R3 to complement the very rigorous and wonderfully written presentation of classical analysis in my soon-to-be-published book, Old School Advanced Calculus by W'illiam Benjamin Fite. While this book is otherwise very comprehensive, the presentation of functions of several variables in it is purely analytic and rather archaic in nature. Fite is intended as a model of what the standard year-long advanced calculus course-which has largely been abandoned at most universities since the l980's-would look like. Such courses were intended not onlv for mathematics majors, but serious physical science majors, for whom of course vector analysis is a necessary part of their mathematical training. Therefore, the absence of the differential and integral calculus of vector valued functions in low dimensional Euclidean spaces is a highly problematic lacuna in the book. The concurrent republication of this book by Miller is intended the rectify this. While the language of the book is classical in many regards, Miller is careful when possible to connect the material to modern formulations so he doesn't alienate mathematics majors reading the book. The best examples are in the first chapter, where he carefully lays out century vector algebra using "arrows" while detailing their algebraic structure as a vector space over the real or complex numbers. This keeps the book's intended audience very general, inviting not only mathematics majors, but physics, engineering and professionals in other fields that need to either review or learn this material. Also, most of the current standard books on vector analysis are rather expensive and lengthy. While Dover Books has made available a number of classical books on vector analysis at a very affordable price, many of these are quite old fashioned and may be difficult for students to read -either by itself or used in conjunction with another text or the instructor's notes-will give students a very affordable option that's still presented in a full modern context. The hope is that although the book is intended to supplement Fite, it can and should be used as a vector analysis text in its' own right Indeed, the hope is that because of the book's brevity and low cost, it will become an indispensable study aid for students who need to either learn or review this material quickly and accurately.
