J.L. Lagrange's Books

Analytical Mechanics

By: J.L. Lagrange

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The Mécanique analytique presents a comprehensive account of Lagrangian mechanics. In this work, Lagrange used the Principle of Virtual Work in conjunction with the Lagrangian Multiplier to solve all problems of statics. For the treatment of dynamics, a third concept had to be added to the first two - d'Alembert's Principle - in order to develop the Lagrangian equations of motion. Hence, Lagrange was able to unify the entire science of mechanics using only three concepts and algebraic operations.

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634

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Springer Science & Business Media

Published Date

ISBN 10

9401589038

ISBN 13

9789401589031

Optimal Spacecraft Rotational Maneuvers

By: J.L. Junkins,J.D. Turner

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Optimal Spacecraft Rotational Maneuvers

By: J.L. Junkins,J.D. Turner

This monograph has grown out of the authors' recent work directed toward solving a family of problems which arise in maneuvering modern spacecraft. The work ranges from fundamental developments in analytical dynamics and optimal control to a significant collection of example applications. The primary emphasis herein is upon the most central analytical and numerical methods for determining optimal rotational maneuvers of spacecraft. The authors focus especially upon the large angle nonlinear maneuvers, and also consider large rotational maneuvers of flexible vehicles with simultaneous vibration suppression/arrest. Each chapter includes a list of references.The book provides much new material which will be of great interest to practising professionals and advanced graduate students working in the general areas of spacecraft technology, applied mathematics, optimal control theory, and numerical optimization. Chapter 11 in particular presents new information that will be found widely useful for terminal control and tracking maneuvers.

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Page Count

534

Publisher

Elsevier

Published Date

ISBN 10

0444600310

ISBN 13

9780444600318

Variational Calculus with Elementary Convexity

By: J.L. Troutman

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Variational Calculus with Elementary Convexity

By: J.L. Troutman

The calculus of variations, whose origins can be traced to the works of Aristotle and Zenodoros, is now Ii vast repository supplying fundamental tools of exploration not only to the mathematician, but-as evidenced by current literature-also to those in most branches of science in which mathematics is applied. (Indeed, the macroscopic statements afforded by variational principles may provide the only valid mathematical formulation of many physical laws. ) As such, it retains the spirit of natural philosophy common to most mathematical investigations prior to this century. How ever, it is a discipline in which a single symbol (b) has at times been assigned almost mystical powers of operation and discernment, not readily subsumed into the formal structures of modern mathematics. And it is a field for which it is generally supposed that most questions motivating interest in the subject will probably not be answerable at the introductory level of their formulation. In earlier articles,1,2 it was shown through several examples that a complete characterization of the solution of optimization problems may be available by elementary methods, and it is the purpose of this work to explore further the convexity which underlay these individual successes in the context of a full introductory treatment of the theory of the variational calculus. The required convexity is that determined through Gateaux variations, which can be defined in any real linear space and which provide an unambiguous foundation for the theory.

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Page Count

373

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1468401580

ISBN 13

9781468401585

Computer Methods in Structural Analysis

By: J.L. Meek

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Computer Methods in Structural Analysis

By: J.L. Meek

This book deals with finite element analysis of structures and will be of value to students of civil, structural and mechanical engineering at final year undergraduate and post-graduate level. Practising structural engineers and researchers will also find it useful. Authoritative and up-to-date, it provides a thorough grounding in matrix-tensor analysis and the underlying theory, and a logical development of its application to structures.

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503

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CRC Press

Published Date

ISBN 10

1135241171

ISBN 13

9781135241179

Pi: A Source Book

By: J.L. Berggren,Jonathan Borwein,Peter Borwein

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Pi: A Source Book

By: J.L. Berggren,Jonathan Borwein,Peter Borwein

This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.

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Page Count

812

Publisher

Springer

Published Date

ISBN 10

1475742177

ISBN 13

9781475742176

Non-linear and Collective Phenomena in Quantum Physics

A Reprint Volume from Physics Reports

By: J. L. Gervais,Maurice Jacob

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Non-linear and Collective Phenomena in Quantum Physics

A Reprint Volume from Physics Reports

By: J. L. Gervais,Maurice Jacob

http://www.worldscientific.com/worldscibooks/10.1142/0040

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532

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World Scientific

Published Date

ISBN 10

9971950642

ISBN 13

9789971950644

Electricity in the 17th and 18th Centuries

A Study of Early Modern Physics

By: J. L. Heilbron

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Electricity in the 17th and 18th Centuries

A Study of Early Modern Physics

By: J. L. Heilbron

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1979.

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622

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Univ of California Press

Published Date

ISBN 10

0520334604

ISBN 13

9780520334601

Elements of Early Modern Physics

By: J. L. Heilbron

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Elements of Early Modern Physics

By: J. L. Heilbron

Elements of Early Modern Physics comprises the two long introductory chapters of J. L. Heilbron's monumental work Electricity in the 17th and 18th Centuries: A Study of Early Modern Physics plus a concluding summary of the remaining chapters. Heilbron opens with a presentation of the general principles of physical theory and a description of the institutional frameworks in which physics were cultivated in the seventeenth and eighteenth centuries. He argues that the single most important contributor to physics in the seventeenth century was the Catholic Church. In the first half of the eighteenth century, Cartesian and Newtonian physicists disagreed over principles but thought in similar terms and cultivated the same sort of qualitative natural philosophy. Work towards an exact physics, which took on important dimensions after 1770, confounded the programs of both. Heilbron shows that by attending too closely to the Copernican revolution and the confrontation of great philosophical systems, historians have seriously misjudged the character of early modern science. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1982.

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314

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Univ of California Press

Published Date

ISBN 10

0520309987

ISBN 13

9780520309982

Interpolation and Approximation by Rational Functions in the Complex Domain

By: J. L. Walsh

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Interpolation and Approximation by Rational Functions in the Complex Domain

By: J. L. Walsh

The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.

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Page Count

418

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821810200

ISBN 13

9780821810200

Applications of Group Theory in Quantum Mechanics

By: M. I. Petrashen,J. L. Trifonov

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Applications of Group Theory in Quantum Mechanics

By: M. I. Petrashen,J. L. Trifonov

Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.

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338

Publisher

Courier Corporation

Published Date

ISBN 10

0486172724

ISBN 13

9780486172729

Inequalities in Mechanics and Physics

By: G. Duvant,J. L. Lions

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Inequalities in Mechanics and Physics

By: G. Duvant,J. L. Lions

1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary conditions in the form of inequalities u(X,t»o => au(x,t)/an=O, XEr, (2) u(x,t)=o => au(x,t)/an?:O, XEr, to which is added the initial condition (3) u(x,O)=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem.

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415

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Springer Science & Business Media

Published Date

ISBN 10

3642661653

ISBN 13

9783642661655

The Rural Midwest Since World War II

By: J. L. Anderson

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The Rural Midwest Since World War II

By: J. L. Anderson

J.L. Anderson seeks to change the belief that the Midwest lacks the kind of geographic coherence, historical issues, and cultural touchstones that have informed regional identity in the American South, West, and Northeast. The goal of this illuminating volume is to demonstrate uniqueness in a region that has always been amorphous and is increasingly so. Midwesterners are a dynamic people who shaped the physical and social landscapes of the great midsection of the nation, and they are presented as such in this volume that offers a general yet informed overview of the region after World War II. The contributors—most of whom are Midwesterners by birth or residence—seek to better understand a particular piece of rural America, a place too often caricatured, misunderstood, and ignored. However, the rural landscape has experienced agricultural diversity and major shifts in land use. Farmers in the region have successfully raised new commodities from dairy and cherries to mint and sugar beets. The region has also been a place where community leaders fought to improve their economic and social well-being, women redefined their roles on the farm, and minorities asserted their own version of the American Dream. The rural Midwest is a regional melting pot, and contributors to this volume do not set out to sing its praises or, by contrast, assume the position of Midwestern modesty and self-deprecation. The essays herein rewrite the narrative of rural decline and crisis, and show through solid research and impeccable scholarship that rural Midwesterners have confronted and created challenges uniquely their own.

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338

Publisher

Northern Illinois University Press

Published Date

ISBN 10

150175131X

ISBN 13

9781501751318

Regular Variation

By: N. H. Bingham,C. M. Goldie,J. L. Teugels

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Regular Variation

By: N. H. Bingham,C. M. Goldie,J. L. Teugels

A comprehensive account of the theory and applications of regular variation.

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Page Count

518

Publisher

Cambridge University Press

Published Date

ISBN 10

0521379431

ISBN 13

9780521379434

Transform Analysis of Generalized Functions

By: O.P. Misra,J.L. Lavoine

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Transform Analysis of Generalized Functions

By: O.P. Misra,J.L. Lavoine

Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series.Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here.The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.

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347

Publisher

Elsevier

Published Date

ISBN 10

0080872301

ISBN 13

9780080872308

A Festschrift For Erich L. Lehmann

By: Peter .J. Bickel,K. Doksum,J.L. Hodges

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A Festschrift For Erich L. Lehmann

By: Peter .J. Bickel,K. Doksum,J.L. Hodges

A collection of essays and articles In honour of Erich. L. Lehmann's sixty-fifth birthday. Including works on Vector Autoregressive models, Bootstrapping Regression Models, Bootstrapping Regression Models and Estimation of the Mean or Total when Measurement Protocols.

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Page Count

478

Publisher

CRC Press

Published Date

ISBN 10

0534980449

ISBN 13

9780534980443

Groups and Representations

By: J.L. Alperin,Rowen B. Bell

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Groups and Representations

By: J.L. Alperin,Rowen B. Bell

A concise treatment of topics from group theory and representation theory for use in a one-term course. Focussing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example. Readers are expected to be familiar with groups, rings, and fields, and to have a solid knowledge of linear algebra. Close to 200 exercises of varying difficulty serve both to reinforce the main concept of the text and to introduce the reader to additional topics.

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200

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Springer Science & Business Media

Published Date

ISBN 10

1461207991

ISBN 13

9781461207993

Celestial Calculations

A Gentle Introduction to Computational Astronomy

By: J. L. Lawrence

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Celestial Calculations

A Gentle Introduction to Computational Astronomy

By: J. L. Lawrence

How to predict and calculate the positions of stars, planets, the sun, the moon, and satellites using a personal computer and high school mathematics. Our knowledge of the universe is expanding rapidly, as space probes launched decades ago begin to send information back to earth. There has never been a better time to learn about how planets, stars, and satellites move through the heavens. This book is for amateur astronomers who want to move beyond pictures of constellations in star guides and solve the mysteries of a starry night. It is a book for readers who have wondered, for example, where Saturn will appear in the night sky, when the sun will rise and set, or how long the space station will be over their location. In Celestial Calculations, J. L. Lawrence shows readers how to find the answers to these and other astronomy questions with only a personal computer and high school math. Using an easy-to-follow step-by-step approach, Lawrence explains what calculations are required, why they are needed, and how they all fit together. Lawrence begins with basic principles: unit of measure conversions, time conversions, and coordinate systems. He combines these concepts into a computer program that can calculate the location of a star, and uses the same methods for predicting the locations of the sun, moon, and planets. He then shows how to use these methods for locating the many satellites we have sent into orbit. Finally, he describes a variety of resources and tools available to the amateur astronomer, including star charts and astronomical tables. Diagrams illustrate the major concepts, and computer programs that implement the algorithms are included. Photographs of actual celestial objects accompany the text, and interesting astronomical facts are interspersed throughout. Source code (in Python 3, JAVA, and Visual Basic) and executables for all the programs and examples presented in the book are available for download at https://CelestialCalculations.github.io.

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Page Count

393

Publisher

MIT Press

Published Date

ISBN 10

0262536633

ISBN 13

9780262536639

Local Representation Theory

Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

By: J. L. Alperin,Jonathan L. Alperin

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Local Representation Theory

Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

By: J. L. Alperin,Jonathan L. Alperin

The aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in many areas of algebra. This book will serve as an excellent introduction to those interested in the subject itself or its applications.

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Page Count

198

Publisher

Cambridge University Press

Published Date

ISBN 10

052144926X

ISBN 13

9780521449267

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