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The Calculus for Engineers and Physicists, Vol. 5

The Calculus for Engineers and Physicists, Vol. 5
Author: Robert Henry Smith
Publisher: Forgotten Books
Total Pages: 262
Release: 2017-10-28
Genre: Mathematics
ISBN: 9780266858461

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Excerpt from The Calculus for Engineers and Physicists, Vol. 5: Integration and Differentiation The following remarks appeared in the Preface to the First Edition of this book This work aims at the presentation of two leading features in the study and application of the higher mathematics. In the first place, the development of the rationale of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination extending beyond the limits of man's actual physical and physiological experience. Thus no use is anywhere made of series of infinite numbers of things or of infinitely small quantities. The author believes that the logical development is both sound and complete without reference to these ideas. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Calculus for Scientists and Engineers

Calculus for Scientists and Engineers
Author: William L. Briggs
Publisher:
Total Pages: 1186
Release: 2012
Genre: Calculus
ISBN: 9780321814531

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Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice evident in the narrative, the figures, and the questions interspersed in the narrative is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers' geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope. This book is an expanded version of Calculus: Early Transcendentals by the same authors, with an entire chapter devoted to differential equations, additional sections on other topics, and additional exercises in most sections.


The Calculus for Engineers and Physicists, Vol. 5

The Calculus for Engineers and Physicists, Vol. 5
Author: Robert Henry Smith
Publisher: Forgotten Books
Total Pages: 260
Release: 2015-06-15
Genre: Mathematics
ISBN: 9781330581889

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Excerpt from The Calculus for Engineers and Physicists, Vol. 5: Integration and Differentiation This work aims at the presentation of two leading features in the study and application of the higher mathematics. In the first place, the development of the rationale of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination extending beyond the limits of mans actual physical and physiological experience. Thus no use is anywhere made of series of infinite numbers of things or of infinitely small quantities. The author believes that the logical development is both sound and complete without reference to these ideas. In the second place, a set of Eleven Classified Tables of Integrals and Methods of Integration have been arranged in such manner as seemed best adapted to facilitate rapid reference, and thus relieve the mind engaged in practical mathematical work of the burden of memorising a great mass of formulas. This part of the work has involved very considerable labour. The germ of it is twenty-five years old in the authors manuscripts, but for the extensive and able development of it to its present form he is indebted to the cooperation of Mr R. F. Muirhead, M.A., B.Sc. (Glasgow), B.A. (Cambridge), formerly Clark Fellow of Glasgow University and Lecturer on Mathematics at Mason College. It is hoped that these Tables may prove of great service to physicists and engineers engaged in new applications of science. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Tensor Calculus for Engineers and Physicists

Tensor Calculus for Engineers and Physicists
Author: Emil de Souza Sánchez Filho
Publisher: Springer
Total Pages: 370
Release: 2016-05-20
Genre: Technology & Engineering
ISBN: 331931520X

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This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.


Quaternionic and Clifford Calculus for Physicists and Engineers

Quaternionic and Clifford Calculus for Physicists and Engineers
Author: Klaus Gürlebeck
Publisher: John Wiley & Sons
Total Pages: 392
Release: 1997
Genre: Mathematics
ISBN:

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Quarternionic calculus covers a branch of mathematics which uses computational techniques to help solve problems from a wide variety of physical systems which are mathematically modelled in 3, 4 or more dimensions. Examples of the application areas include thermodynamics, hydrodynamics, geophysics and structural mechanics. Focusing on the Clifford algebra approach the authors have drawn together the research into quarternionic calculus to provide the non-expert or research student with an accessible introduction to the subject. This book fills the gap between the theoretical representations and the requirements of the user.


Applied Mathematics for Engineers and Physicists

Applied Mathematics for Engineers and Physicists
Author: Louis A. Pipes
Publisher: Courier Corporation
Total Pages: 1043
Release: 2014-06-10
Genre: Mathematics
ISBN: 0486794997

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Suitable for advanced courses in applied mathematics, this text covers analysis of lumped parameter systems, distributed parameter systems, and important areas of applied mathematics. Answers to selected problems. 1970 edition.


Fractional Derivatives for Physicists and Engineers

Fractional Derivatives for Physicists and Engineers
Author: Vladimir V. Uchaikin
Publisher: Springer Science & Business Media
Total Pages: 400
Release: 2013-07-09
Genre: Science
ISBN: 3642339115

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The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. Fractional Derivatives for Physicists and Engineers— The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus. The second develops a wide panorama of applications of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School, a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlo methods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy.


Modern Mathematical Methods for Physicists and Engineers

Modern Mathematical Methods for Physicists and Engineers
Author: Cyrus D. Cantrell
Publisher: Cambridge University Press
Total Pages: 790
Release: 2000-10-09
Genre: Science
ISBN: 9780521598279

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A mathematical and computational education for students, researchers, and practising engineers.


Calculus for Scientists and Engineers

Calculus for Scientists and Engineers
Author: K. D. Joshi
Publisher: Narosa Publishing House
Total Pages: 0
Release: 2002
Genre: Calcul différentiel
ISBN: 9780849313196

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Focusing on the "why's" of mathematics rather than the "how's," the unique approach of this text will appeal to a wide range of readers, from those taking a first course in calculus to those seeking deeper insights or needing a transition from calculus to analysis. The author takes care to supply strong motivations for abstract concepts, thereby helping beginners overcome the intimidation often felt when first confronting abstraction. While emphasizing the "why's," the book does not entirely neglect the "how's" and provides sufficient exposure to the techniques through numerous exercises, with answers supplied in the back of the book.