Mechanics Via the Calculus

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mechanics Via the Calculus by : Percy William Norris

Download or read book Mechanics Via the Calculus written by Percy William Norris and published by . This book was released on 1923 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics Via the Calculus

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Mechanics Via the Calculus by : P. W. Norris

Download or read book Mechanics Via the Calculus written by P. W. Norris and published by . This book was released on 1950 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics Via the Calculus

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Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Mechanics Via the Calculus by : Percy William Norris

Download or read book Mechanics Via the Calculus written by Percy William Norris and published by . This book was released on 1936 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Mechanics with Calculus of Variations and Optimal Control

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891383
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classical Mechanics with Calculus of Variations and Optimal Control by : Mark Levi

Download or read book Classical Mechanics with Calculus of Variations and Optimal Control written by Mark Levi and published by American Mathematical Soc.. This book was released on 2014-03-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the "tennis racket paradox"; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last chapter, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book.

Second Year Calculus

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Publisher : Springer Science & Business Media
ISBN 13 : 1461209595
Total Pages : 399 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Second Year Calculus by : David M. Bressoud

Download or read book Second Year Calculus written by David M. Bressoud and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.

Applications of the Calculus to Mechanics

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Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Applications of the Calculus to Mechanics by : Earle Raymond Hedrick

Download or read book Applications of the Calculus to Mechanics written by Earle Raymond Hedrick and published by . This book was released on 1909 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics and Applied Calculus

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Mechanics and Applied Calculus by : Open University. Mechanics and Applied Calculus Course Team

Download or read book Mechanics and Applied Calculus written by Open University. Mechanics and Applied Calculus Course Team and published by . This book was released on 1972 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of the Calculus to Mechanics

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (64 download)

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Book Synopsis Applications of the Calculus to Mechanics by : Earle Raymond Hedrick

Download or read book Applications of the Calculus to Mechanics written by Earle Raymond Hedrick and published by . This book was released on 1909 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Mechanic

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Publisher : Princeton University Press
ISBN 13 : 0691244170
Total Pages : 201 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis The Mathematical Mechanic by : Mark Levi

Download or read book The Mathematical Mechanic written by Mark Levi and published by Princeton University Press. This book was released on 2023-01-24 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist. Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles. The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us.

Advanced Calculus

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus by : Lynn Harold Loomis

Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Variational Principles of Mechanics

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (299 download)

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Book Synopsis The Variational Principles of Mechanics by : Cornelius Lanczos

Download or read book The Variational Principles of Mechanics written by Cornelius Lanczos and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

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Publisher : Courier Corporation
ISBN 13 : 048615453X
Total Pages : 148 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory by : D. E. Rutherford

Download or read book Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory written by D. E. Rutherford and published by Courier Corporation. This book was released on 2012-04-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. 1957 edition.

Applications of the Calculus to Mechanics

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Publisher : Legare Street Press
ISBN 13 : 9781021464095
Total Pages : 0 pages
Book Rating : 4.4/5 (64 download)

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Book Synopsis Applications of the Calculus to Mechanics by : Oliver Dimon Kellogg

Download or read book Applications of the Calculus to Mechanics written by Oliver Dimon Kellogg and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic text on the applications of calculus to mechanics, this book presents the fundamental principles of classical physics and their mathematical expressions in a clear and comprehensive manner. With numerous examples and exercises, it offers a rigorous and intuitive introduction to the calculus of variations and the dynamics of particles and systems, and provides a solid foundation for further study in physics, engineering, and related fields. 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

An Advanced Introduction to Calculus-Based Physics (Mechanics)

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Publisher : CreateSpace
ISBN 13 : 9781463644086
Total Pages : 574 pages
Book Rating : 4.6/5 (44 download)

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Book Synopsis An Advanced Introduction to Calculus-Based Physics (Mechanics) by : Chris McMullen

Download or read book An Advanced Introduction to Calculus-Based Physics (Mechanics) written by Chris McMullen and published by CreateSpace. This book was released on 2012-05-01 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: CONTENTS: This textbook covers the mechanics portion of first-semester calculus-based physics. AUDIENCE: This calculus-based physics textbook is geared toward independent learners who can handle the rigors of calculus and who seek to develop a strong introduction to the fundamentals of physics, both mathematically and conceptually. It could also serve as a useful reference for physics and engineering students who have gone beyond the first year of physics, but who would like to review the fundamentals as they explore more advanced fields of physics. This volume is dedicated to mechanics. PREREQUISITES: No previous exposure to physics is assumed. The student should be familiar with the basic techniques of differentiation and integration, including polynomials and trig functions, and should be fluent in algebra and familiar with the basic trig functions. COREQUISITES: The textbook teaches Calculus II skills as needed, such as the technique of integrating via trigonometric substitution. The textbook also reviews some Calculus I skills which students often forget, such as the mean-value theorem, l'Hopital's rule, and the chain rule. This is not done in an introductory chapter or an appendix, but in the main text as these ideas first become useful. IMPORTANT DISTINCTIONS: Boxes of important distinctions are included in order to help students distinguish between similar concepts – like average speed and average velocity, between velocity and acceleration, or between mass and weight. TABLE OF EQUATIONS: There is a handy table of equations organized by topic on the back cover of the textbook. The equations in the text (but not on the cover) also include notes to help students understand any limitations that the equations may have (e.g. some equations only apply if acceleration is uniform or if mass is constant). CONCISE OUTLINE FORMAT: The text is conveniently organized by specific topic to help students who may not be reading straight through, but who may be searching for a specific idea or who may be reviewing material that they read previously. There is also a handy index to help locate concepts quickly. Examples and problem-solving strategies clearly stand out from discussions of concepts. MATHEMATICAL & CONCEPTUAL EMPHASIS: There is much emphasis both on learning the mathematics precisely and understanding the concepts at a deep, precise level. An underlying idea is that students should not guess at concepts, but that concepts are mathematically motivated: Let the equations be your guide. PROBLEM-SOLVING STRATEGIES: All of the main problem-solving strategies – like projectile motion, applying Newton's second law, or conserving energy – are highlighted and described step-by-step and in detail. Examples illustrate how to carry out all of the problem-solving strategies. NOTES: Several notes are boxed to describe important points, common mistakes, and exceptions. Hundreds of footnotes are included to discuss subtleties without interrupting the flow of the text. EXAMPLES: Conceptual and problem-solving examples were selected based on their instructiveness in elucidating important concepts or illustrating how to carry out important problem-solving strategies; quality was favored over quantity. Simple plug-and-chug examples and problems are scarce, since the audience for this book is independent students. PRACTICE: The end of each chapter has a good selection of instructive conceptual questions and practice problems. HINTS & ANSWERS: 100% of the conceptual questions have both hints and answers, since it's crucial to develop a solid understanding of the concepts in order to succeed in physics. Some of the practice problems have answers to help independent students gain confidence by reproducing the same answers, while 100% of the practice problems have hints so that students can see if they are solving the problems correctly (even if the problem doesn't have the answer in the back).

Calculus of Variations

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Publisher : Courier Corporation
ISBN 13 : 0486278301
Total Pages : 272 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Calculus of Variations by : Charles R. MacCluer

Download or read book Calculus of Variations written by Charles R. MacCluer and published by Courier Corporation. This book was released on 2013-05-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: First truly up-to-date treatment offers a simple introduction to optimal control, linear-quadratic control design, and more. Broad perspective features numerous exercises, hints, outlines, and appendixes, including a practical discussion of MATLAB. 2005 edition.

Understanding Geometric Algebra for Electromagnetic Theory

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Publisher : John Wiley & Sons
ISBN 13 : 0470941634
Total Pages : 320 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Understanding Geometric Algebra for Electromagnetic Theory by : John W. Arthur

Download or read book Understanding Geometric Algebra for Electromagnetic Theory written by John W. Arthur and published by John Wiley & Sons. This book was released on 2011-09-13 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison. Professors can request a solutions manual by email: [email protected]

Differential Equations, Mechanics, and Computation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821821385
Total Pages : 329 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Equations, Mechanics, and Computation by : Richard S. Palais

Download or read book Differential Equations, Mechanics, and Computation written by Richard S. Palais and published by American Mathematical Soc.. This book was released on 2009-11-13 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.