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Author :
Publisher :
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.0/5 (57 download)
Download or read book Journal für die reine und angewandte Mathematik written by and published by . This book was released on 1870 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : August Leopold Crelle
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journal Für Die Reine und Angewandte Mathematik written by August Leopold Crelle and published by . This book was released on 1909 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph W. Dauben
Publisher : Academic Press
ISBN 13 : 148326257X
Total Pages : 289 pages
Book Rating : 4.4/5 (832 download)
Download or read book Mathematical Perspectives written by Joseph W. Dauben and published by Academic Press. This book was released on 2014-05-10 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Perspectives: Essays on Mathematics and its Historical Development is a collection of 13 biographical essays on the historical advances of science. This collection is originally meant to comprise an issue of the journal Historia Mathematica in honor of Professor Kurt R. Biermann's 60th birthday. This 12-chapter text includes essays on studies and commentaries on the problem of "figures of equal perimeter by various authors in antiquity, including Zenodorus, Theon, and Pappus. Other essays explore the comparison of the areas of polygons with equal perimeter; the concept of function; history of mathematics; the development of mathematical physics in France; and the history of Logicism and Formalism. The remaining chapters deal with essays on an early version of Gauss' Disquisitiones Arithmeticae, ideal numbers, a mathematical-philosophilica theory of probability, and historical examples of problem of number sequence interpolation. This book will be of value to mathematicians, historians, and researchers.
Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490106928
Total Pages : 1217 pages
Book Rating : 4.4/5 (91 download)
Download or read book Issues in General and Specialized Mathematics Research: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in General and Specialized Mathematics Research: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about General Mathematics. The editors have built Issues in General and Specialized Mathematics Research: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General Mathematics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author : Luis Manuel Braga da Costa Campos
Publisher : CRC Press
ISBN 13 : 0429638477
Total Pages : 252 pages
Book Rating : 4.4/5 (296 download)
Download or read book Singular Differential Equations and Special Functions written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fifth book consists of one chapter (chapter 9 of the set). The chapter starts with general classes of differential equations and simultaneous systems for which the properties of the solutions can be established 'a priori', such as existence and unicity of solution, robustness and uniformity with regard to changes in boundary conditions and parameters, and stability and asymptotic behavior. The book proceeds to consider the most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular singularities. The solution of singular differential equations by means of (i) power series; (ii) parametric integral transforms; and (iii) continued fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special functions that specify their solutions. Includes existence, unicity, robustness, uniformity, and other theorems for non-linear differential equations Discusses properties of dynamical systems derived from the differential equations describing them, using methods such as Liapunov functions Includes linear differential equations with periodic coefficients, including Floquet theory, Hill infinite determinants and multiple parametric resonance Details theory of the generalized Bessel differential equation, and of the generalized, Gaussian, confluent and extended hypergeometric functions and relations with other 20 special functions Examines Linear Differential Equations with analytic coefficients or regular or irregular singularities, and solutions via power series, parametric integral transforms, and continued fractions
Author : R.W. Farebrother
Publisher : Springer Science & Business Media
ISBN 13 : 0387985980
Total Pages : 291 pages
Book Rating : 4.3/5 (879 download)
Download or read book Fitting Linear Relationships written by R.W. Farebrother and published by Springer Science & Business Media. This book was released on 1999 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the development of statistics, which for more than a century was called "the calculus of observations." The approach will help readers gain a clearer understanding of the historical development as well as the essential nature of some of the commonly used statistical estimation procedures. Detailed descriptions of the fitting of linear relationships by the method of least squares and the closely related least absolute deviations and minimax absolute deviations procedures are presented, along with some of the important work by Laplace, Gauss, and Adrain.
Author : Arne Schirrmacher
Publisher : Springer
ISBN 13 : 3030227278
Total Pages : 128 pages
Book Rating : 4.0/5 (32 download)
Download or read book Establishing Quantum Physics in Göttingen written by Arne Schirrmacher and published by Springer. This book was released on 2019-08-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics – the grandiose theory that describes nature down to the submicroscopic level – was first formulated in Göttingen in 1925. How did this come about and why is it that Göttingen became the pre-eminent location for a revolution in physics? This book is the first to investigate the wide range of factors that were pivotal for quantum physics to be established in Göttingen. These include the process of generational change of physics professors, the hopes of mathematicians seeking new fields of research, and a new understanding of the interplay of experiment, theory and philosophy. The other books in the four-volume collection address the beginnings of quantum physics research at Copenhagen, Berlin, and Munich. These works emerged from an expansive study on the quantum revolution as a major transformation of physical knowledge undertaken by the Max Planck Institute for the History of Science and the Fritz Haber Institute (2006–2012). For more on this project, see the dedicated Feature Story, The Networks of Early Quantum Theory, at the Max Planck Institute for the History of Science, https://www.mpiwg-berlin.mpg.de/feature-story/networks-early-quantum-theory.
Author : Jamshid Ghaboussi
Publisher : CRC Press
ISBN 13 : 1351682636
Total Pages : 611 pages
Book Rating : 4.3/5 (516 download)
Download or read book Nonlinear Computational Solid Mechanics written by Jamshid Ghaboussi and published by CRC Press. This book was released on 2017-07-06 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.
Author : Cornell University
Publisher :
ISBN 13 :
Total Pages : 1012 pages
Book Rating : 4.3/5 (91 download)
Download or read book Cornell University Register and Catalogue written by Cornell University and published by . This book was released on 1875 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (318 download)
Download or read book The University of Missouri Bulletin written by and published by . This book was released on 1921 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abraham Robinson
Publisher : Princeton University Press
ISBN 13 : 1400884225
Total Pages : 315 pages
Book Rating : 4.4/5 (8 download)
Download or read book Non-standard Analysis written by Abraham Robinson and published by Princeton University Press. This book was released on 2016-08-11 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.
Author : Anton Zettl
Publisher : American Mathematical Soc.
ISBN 13 : 0821852671
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)
Download or read book Sturm-Liouville Theory written by Anton Zettl and published by American Mathematical Soc.. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. In 1910 Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of knowledge about some aspects of this theory. To use the book, only a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory are assumed. An extensive list of references and examples is provided and numerous open problems are given. The list of examples includes those classical equations and functions associated with the names of Bessel, Fourier, Heun, Ince, Jacobi, Jorgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, Morse, as well as examples associated with the harmonic oscillator and the hydrogen atom. Many special functions of applied mathematics and mathematical physics occur in these examples.
Author : John Stillwell
Publisher : Princeton University Press
ISBN 13 : 069123437X
Total Pages : 457 pages
Book Rating : 4.6/5 (912 download)
Download or read book The Story of Proof written by John Stillwell and published by Princeton University Press. This book was released on 2022-11-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proof—one of the most significant and defining features of mathematical thought—through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge. Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as “infinitesimal algebra,” and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, Gödel, Turing, and others found that the concept of proof is ultimately part of arithmetic. This startling fact imposes fundamental limits on what theorems can be proved and what problems can be solved. Shedding light on the workings of mathematics at its most fundamental levels, The Story of Proof offers a compelling new perspective on the field’s power and progress.
Author : D. Baird
Publisher : Springer Science & Business Media
ISBN 13 : 9780792346531
Total Pages : 348 pages
Book Rating : 4.3/5 (465 download)
Download or read book Heinrich Hertz: Classical Physicist, Modern Philosopher written by D. Baird and published by Springer Science & Business Media. This book was released on 1998-01-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sub-title of this symposium is accurate and, in a curious way, promises more than it states: Classical Physicist, Modem Philosopher. Heinrich Hertz, as the con summate experimentalist of 19th century technique and as brilliant clarifying critic of physical theory of his time, achieved one of the fulfilments but at the same time opened one of the transition points of classical physics. Thus, in his 'popular' lecture 'On the Relations Between Light and Electricity' at Heidelberg in the Fall of 1889, Hertz identified the ether as henceforth the most fundamental problem of physics, as the conceptual mystery but also the key to understanding mass, electric ity, and gravity. Of Hertz's demonstration of electric waves, Helmholtz told the Physical Society of Berlin: "Gentlemen! I have to communicate to you today the most important physical discovery of the century. " Hertz, philosophizing in his direct, lucid, pithy style, once wrote "We have to imagine". Perhaps this is metaphysics on the horizon? In the early pages of his Principles of Mechanics, we read A doubt which makes an impression on our mind cannot be removed by calling it metaphysical: every thoughtful mind as such has needs which scientific men are accustomed to denote as metaphysical. (PM23) And at another place, concerning the terms 'force' and 'electricity' and the alleged mystery of their natures, Hertz wrote: We have an obscure feeling of this and want to have things cleared up.
Author : University of Aberdeen. Library
Publisher : Aberdeen : University Press
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.:/5 ( download)
Download or read book Supplement to the Catalogue of the General Library of the University of Aberdeen written by University of Aberdeen. Library and published by Aberdeen : University Press. This book was released on 1887 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elizabeth Garber
Publisher : Springer Science & Business Media
ISBN 13 : 9780817640392
Total Pages : 424 pages
Book Rating : 4.6/5 (43 download)
Download or read book The Language of Physics written by Elizabeth Garber and published by Springer Science & Business Media. This book was released on 1999 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is the first explicit examination of the key role that mathematics has played in the development of theoretical physics and will undoubtedly challenge the more conventional accounts of its historical development. Although mathematics has long been regarded as the "language" of physics, the connections between these independent disciplines have been far more complex and intimate than previous narratives have shown. This study encompasses engagements across discipline boundaries and many nations rom the ear of Euler and Bernoulli o that of Hilbert and Einstein. At all times physicists and mathematicians retained their distinct sets of disciplinary standards and goals. Interactions within historical ears are handled using the standards of the time to define mathematics and physics. In this context, the works of Lagrange, Laplace, Fourier, Jacobi, William Thomson, Maxwell, Helmholtz, and many others are discussed, and by 1870, it is evident that the essentials of modern theoretical physics are in place. The epilogue, spanning the decades from 1870 to the First World War, deals with the decline of these interactions and the building of new connections. It is particularly significant that these new patterns of interactions became paradigmatic for the rest of the twentieth century. The unique perspectives concerning the history of theoretical physics will undoubtedly cause some raised eyebrows, as the author convincingly demonstrates that practices, methods, and language shaped the development of the field, and are a key to understanding the mergence of the modern academic discipline. Mathematicians and physicists, as well as historians of both disciplines, will find this provocative work of great interest.
Author :
Publisher :
ISBN 13 :
Total Pages : 610 pages
Book Rating : 4.:/5 (31 download)
Download or read book The Collegian and Progress of India written by and published by . This book was released on 1919 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
