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Author :
Publisher : CUP Archive
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4./5 ( download)
Download or read book The Mathematical Papers of Sir William Rowan Hamilton written by and published by CUP Archive. This book was released on 2006 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Rowan Hamilton
Publisher : Cambridge University Press
ISBN 13 : 9780521592161
Total Pages : 866 pages
Book Rating : 4.5/5 (921 download)
Download or read book The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous written by William Rowan Hamilton and published by Cambridge University Press. This book was released on 2000-12-07 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: Final part of Hamilton's Collected Papers; also contains a CD of all four volumes.
Author : Max Born
Publisher : CUP Archive
ISBN 13 : 9780521784498
Total Pages : 996 pages
Book Rating : 4.7/5 (844 download)
Download or read book Principles of Optics written by Max Born and published by CUP Archive. This book was released on 2000-02-28 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years. The new edition is the first ever thoroughly revised and expanded edition of this standard text. Among the new material, much of which is not available in any other optics text, is a section on the CAT scan (computerized axial tomography), which has revolutionized medical diagnostics. The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov series. The chapter also presents an account of the principles of diffraction tomography - a refinement of the CAT scan - to which Emil Wolf, one of the authors, has made a basic contribution by formulating in 1969 what is generally regarded to be the basic theorem in this field. The chapter also includes an account of scattering from periodic potentials and its connection to the classic subject of determining the structure of crystals from X-ray diffraction experiments, including accounts of von Laue equations, Bragg's law, the Ewald sphere of reflection and the Ewald limiting sphere, both generalized to continuous media. These topics, although originally introduced in connection with the theory of X-ray diffraction by crystals, have since become of considerable relevance to optics, for example in connection with deep holograms. Other new topics covered in this new edition include interference with broad-band light, which introduces the reader to an important phenomenon discovered relatively recently by Emil Wolf, namely the generation of shifts of spectral lines and other modifications of spectra of radiated fields due to the state of coherence of a source. There is also a section on the so-called Rayleigh-Sommerfield diffraction theory which, in recent times, has been finding increasing popularity among optical scientists. There are also several new appendices, including one on energy conservation in scalar wavefields, which is seldom discussed in books on optics. The new edition of this standard reference will continue to be invaluable to advanced undergraduates, graduate students and researchers working in most areas of optics.
Author : Jerzy Giedymin
Publisher : Elsevier
ISBN 13 : 1483147053
Total Pages : 248 pages
Book Rating : 4.4/5 (831 download)
Download or read book Science and Convention written by Jerzy Giedymin and published by Elsevier. This book was released on 2014-05-20 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and Convention: Essays on Henri Poincare's Philosophy of Science and The Conventionalist Tradition contains essays concerned with Henri Poincare's philosophy of science, physics in particular, and with the conventionalist tradition in philosophy that he revived and reshaped, simultaneously with, but independently of, Pierre Duhem. Separating five essays as chapters, the book discusses the main ideas of the philosophy (Essays 1 and 5), traces at least some of its historical background (Essays 1, 2, and 3), and provides some of its developments (Essays 2 and 4).
Author : John Vince
Publisher : Springer Science & Business Media
ISBN 13 : 0857297600
Total Pages : 147 pages
Book Rating : 4.8/5 (572 download)
Download or read book Quaternions for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2011-06-11 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive. Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.
Author : Nico Sneeuw
Publisher : Springer Science & Business Media
ISBN 13 : 3642220770
Total Pages : 393 pages
Book Rating : 4.6/5 (422 download)
Download or read book VII Hotine-Marussi Symposium on Mathematical Geodesy written by Nico Sneeuw and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hotine-Marussi Symposium is the core meeting of a “think thank”, a group scientists in the geodetic environment working on theoretical and methodological subjects, while maintaining the foundations of geodesy to the proper level by corresponding to the strong advancements improved by technological development in the field of ICT, electronic computing, space technology, new measurement devices etc. The proceedings of the symposium cover a broad area of arguments which integrate the foundations of geodesy as a science. The common feature of the papers therefore is not on the object, but rather in the high mathematical standards with which subjects are treated.
Author :
Publisher : Academic Press
ISBN 13 : 0080566375
Total Pages : 415 pages
Book Rating : 4.0/5 (85 download)
Download or read book Advances in Computers written by and published by Academic Press. This book was released on 1964-01-01 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The survey articles included in Volume 5 have been selected with two aims in mind: to arrive at a balanced sampling of the computer field, and to emphasize the subjects of most active current interest. Articles cover topics such as the role of computers in delivering election results; the state of computer development in the Soviet Union and its neighbors; artificial intelligence; and applications of computers to the design of optical instruments, to nuclear reactor design, and to the determination of the structure of crystals or molecules from X-ray diffraction patterns.
Author : G. C. Steward
Publisher : Cambridge University Press
ISBN 13 : 1107493889
Total Pages : 113 pages
Book Rating : 4.1/5 (74 download)
Download or read book The Symmetrical Optical System written by G. C. Steward and published by Cambridge University Press. This book was released on 2015-03-26 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1928, this book deals with the physical and mathematical aspects of the symmetrical optical system. Steward's explanation is taken in part from lectures delivered to students of mathematics and physics at the University of Cambridge in the early twentieth century.
Author : René Dugas
Publisher : Courier Corporation
ISBN 13 : 0486173372
Total Pages : 672 pages
Book Rating : 4.4/5 (861 download)
Download or read book A History of Mechanics written by René Dugas and published by Courier Corporation. This book was released on 2012-11-07 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A remarkable work which will remain a document of the first rank for the historian of mechanics." — Louis de Broglie In this masterful synthesis and summation of the science of mechanics, Rene Dugas, a leading scholar and educator at the famed Ecole Polytechnique in Paris, deals with the evolution of the principles of general mechanics chronologically from their earliest roots in antiquity through the Middle Ages to the revolutionary developments in relativistic mechanics, wave and quantum mechanics of the early 20th century. The present volume is divided into five parts: The first treats of the pioneers in the study of mechanics, from its beginnings up to and including the sixteenth century; the second section discusses the formation of classical mechanics, including the tremendously creative and influential work of Galileo, Huygens and Newton. The third part is devoted to the eighteenth century, in which the organization of mechanics finds its climax in the achievements of Euler, d'Alembert and Lagrange. The fourth part is devoted to classical mechanics after Lagrange. In Part Five, the author undertakes the relativistic revolutions in quantum and wave mechanics. Writing with great clarity and sweep of vision, M. Dugas follows closely the ideas of the great innovators and the texts of their writings. The result is an exceptionally accurate and objective account, especially thorough in its accounts of mechanics in antiquity and the Middle Ages, and the important contributions of Jordanus of Nemore, Jean Buridan, Albert of Saxony, Nicole Oresme, Leonardo da Vinci, and many other key figures. Erudite, comprehensive, replete with penetrating insights, AHistory of Mechanics is an unusually skillful and wide-ranging study that belongs in the library of anyone interested in the history of science.
Author : Emmanuele DiBenedetto
Publisher : Springer Science & Business Media
ISBN 13 : 0817646485
Total Pages : 364 pages
Book Rating : 4.8/5 (176 download)
Download or read book Classical Mechanics written by Emmanuele DiBenedetto and published by Springer Science & Business Media. This book was released on 2010-10-17 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Offers a rigorous mathematical treatment of mechanics as a text or reference * Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles * Employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst behind new concepts and discoveries
Author : Hans Niels Jahnke
Publisher : American Mathematical Soc.
ISBN 13 : 0821826239
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)
Download or read book A History of Analysis written by Hans Niels Jahnke and published by American Mathematical Soc.. This book was released on 2003 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Author :
Publisher :
ISBN 13 :
Total Pages : 1032 pages
Book Rating : 4.3/5 (91 download)
Download or read book NASA Technical Note written by and published by . This book was released on 1968 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jayaram Ramasastry
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (31 download)
Download or read book Research on Field-aligned Propagation of HF Radiowaves Using Alouette-2 Topside Sounder Data and Digital Ray-tracing Techniques written by Jayaram Ramasastry and published by . This book was released on 1968 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Lakshminarayanan
Publisher : Springer Science & Business Media
ISBN 13 : 1461517117
Total Pages : 230 pages
Book Rating : 4.4/5 (615 download)
Download or read book Lagrangian Optics written by V. Lakshminarayanan and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems.
Author : Jayaram Ramasastry
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (31 download)
Download or read book Review of High-frequency Radiowave Ducting in the Magnetosphere of the Earth written by Jayaram Ramasastry and published by . This book was released on 1967 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lakshminarayan Hazra
Publisher : CRC Press
ISBN 13 : 1498744958
Total Pages : 775 pages
Book Rating : 4.4/5 (987 download)
Download or read book Foundations of Optical System Analysis and Design written by Lakshminarayan Hazra and published by CRC Press. This book was released on 2022-02-06 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the incorporation of scientific approach in tackling problems of optical instrumentation, analysis and design of optical systems constitute a core area of optical engineering. A large number of software with varying level of scope and applicability is currently available to facilitate the task. However, possession of an optical design software, per se, is no guarantee for arriving at correct or optimal solutions. The validity and/or optimality of the solutions depend to a large extent on proper formulation of the problem, which calls for correct application of principles and theories of optical engineering. On a different note, development of proper experimental setups for investigations in the burgeoning field of optics and photonics calls for a good understanding of these principles and theories. With this backdrop in view, this book presents a holistic treatment of topics like paraxial analysis, aberration theory, Hamiltonian optics, ray-optical and wave-optical theories of image formation, Fourier optics, structural design, lens design optimization, global optimization etc. Proper stress is given on exposition of the foundations. The proposed book is designed to provide adequate material for ‘self-learning’ the subject. For practitioners in related fields, this book is a handy reference. Foundations of Optical System Analysis and Synthesis provides A holistic approach to lens system analysis and design with stress on foundations Basic knowledge of ray and wave optics for tackling problems of instrumental optics Proper explanation of approximations made at different stages Sufficient illustrations for facilitation of understanding Techniques for reducing the role of heuristics and empiricism in optical/lens design A sourcebook on chronological development of related topics across the globe This book is composed as a reference book for graduate students, researchers, faculty, scientists and technologists in R & D centres and industry, in pursuance of their understanding of related topics and concepts during problem solving in the broad areas of optical, electro-optical and photonic system analysis and design.
Author : Orestes N. Stavroudis
Publisher : John Wiley & Sons
ISBN 13 : 352760829X
Total Pages : 240 pages
Book Rating : 4.5/5 (276 download)
Download or read book The Mathematics of Geometrical and Physical Optics written by Orestes N. Stavroudis and published by John Wiley & Sons. This book was released on 2006-08-21 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this sequel to his book, "The Optics of Rays, Wavefronts, and Caustics," Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book. Surface geometry is treated with classical mathematics, while the second part covers the k-function, discussing and solving the eikonal equation as well as Maxwell equations in this context. A final part on applications consists of conclusions drawn or developed in the first two parts of the book, discussing such topics as the Cartesian oval, the modern Schiefspiegler, Huygen's principle, and Maxwell's model of Gauss' perfect lens.
