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| sokolnikoff: Mathematical Theory of Elasticity Ivan Stephen Sokolnikoff, 1956 |
| sokolnikoff: Tensor Analysis Ivan Stephen Sokolnikoff, 1990 |
| sokolnikoff: Elasticity Martin H. Sadd, 2009-02-25 Approx.552 pagesApprox.552 pages |
| sokolnikoff: The Theory of Materials Failure Richard M. Christensen, 2013-03-14 A complete and comprehensive theory of failure is developed for homogeneous and isotropic materials. The full range of materials types are covered from very ductile metals to extremely brittle glasses and minerals. Two failure properties suffice to predict the general failure conditions under all states of stress. With this foundation to build upon, many other aspects of failure are also treated, such as extensions to anisotropic fiber composites, cumulative damage, creep and fatigue, and microscale and nanoscale approaches to failure. |
| sokolnikoff: Pioneering Women in American Mathematics Judy Green, Jeanne LaDuke, 2009 This book is the result of a study in which the authors identified all of the American women who earned PhD's in mathematics before 1940, and collected extensive biographical and bibliographical information about each of them. By reconstructing as complete a picture as possible of this group of women, Green and LaDuke reveal insights into the larger scientific and cultural communities in which they lived and worked. The book contains an extended introductory essay, as well as biographical entries for each of the 228 women in the study. The authors examine family backgrounds, education, careers, and other professional activities. They show that there were many more women earning PhD's in mathematics before 1940 than is commonly thought. The material will be of interest to researchers, teachers, and students in mathematics, history of mathematics, history of science, women's studies, and sociology.--BOOK JACKET. |
| sokolnikoff: Leninism Joseph Stalin, 2017-04-21 Translated from the Russian in 1928, this and the second volume of the same title give an invaluable picture of what the Russian leader Joseph Stalin understood by Leninism. Building on the pamphlet Foundations of Leninism, (which forms the first part of this book) the work presents a unified and complete work on the problems of Leninism and socialist construction as they were manifested in the 1920s, as well as discussion of the October Revolution and the relationship of the USSR and the West in the years following the First World War. |
| sokolnikoff: Geometrical Vectors Gabriel Weinreich, 1998-07-06 Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject. Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition. Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and problem sets as well as physical examples are provided. |
| sokolnikoff: Catalogue for the Academic Year Naval Postgraduate School (U.S.), 1955 |
| sokolnikoff: Tensor Calculus J. L. Synge, A. Schild, 2012-04-26 Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more. |
| sokolnikoff: Mathematics for the Physical Sciences Laurent Schwartz, 2008-04-21 Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition. |
| sokolnikoff: The Petroleum Engineer , 1929 |
| sokolnikoff: Vector Analysis Josiah Willard Gibbs, Edwin Bidwell Wilson, 1901 |
| sokolnikoff: An Expert in the Service of the Soviet M. J. Larsons, 1929 |
| sokolnikoff: General Relativity Robert M. Wald, 1984-06-15 Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding.—S. Chandrasekhar A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect.—L. P. Hughston, Times Higher Education Supplement Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come.—James W. York, Physics Today |
| sokolnikoff: Advanced Calculus Lynn H. Loomis, Shlomo Sternberg, 2014 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. |
| sokolnikoff: Higher Mathematics for Engineers and Physicists Ivan Stephen Sokolnikoff, Elizabeth Stafford Sokolnikoff, 1941 |
| sokolnikoff: Bernard Shaw's Book Reviews: 1884-1950 Bernard Shaw, Brian Tyson, 1991 This new volume of Bernard Shaw's book reviews is a companion to Brian Tyson's previously edited collection of Shaw's earlier book reviews. Here Tyson collects seventy-three of the best remaining literary book reviews written by Shaw throughout his lifetime. Two-thirds of the reviews appear in book form for the first time, the originals residing in the archives of newspaper libraries, and only three of the remainder have been reprinted within the last twenty years. Politics feature largely in the works that Shaw reviewed: there are books of socialist theory and its practical appearance in the Soviet Union, as well as books on the individualism of J. H. Levy, the anti-socialism of Thomas McKay, and the economics of E. C. K. Gonner and Philip Wicksteed. There is often an immediacy about the books reviewed, too: discussion of books on World War I, the Soviet Revolution, women's suffrage, the British General Strike of 1926, and World War II all take place concurrently with the events. Many of the works reviewed are biographies, which give Shaw the opportunity to reveal his personal acquaintance with their subjects, including Samuel Butler, William Morris, and Dean Inge. This widely varied collection sparkles with wit and wisdom, taking us briskly through Shaw's own writing life, beginning when he was relatively unknown and concluding when he was a legend. |
| sokolnikoff: Continuum Mechanics and Plasticity Han-Chin Wu, 2004-12-20 Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting many other challenges in the field- is a firm grasp of the principles of continuum mechanics and how they apply to the formulation of plasticity theory. Also critical is understanding the experimental aspects of plasticity and material anisotropy. Integrating the traditionally separate subjects of continuum mechanics and plasticity, this book builds understanding in all of those areas. Part I provides systematic, comprehensive coverage of continuum mechanics, from a review of Carteisian tensors to the relevant conservation laws and constitutive equation. Part II offers an exhaustive presentation of the continuum theory of plasticity. This includes a unique treatment of the experimental aspects of plasticity, covers anisotropic plasticity, and incorporates recent research results related to the endochronic theory of plasticity obtained by the author and his colleagues. By bringing all of these together in one book, Continuum Mechanics and Plasticity facilitates the learning of solid mechanics. Its readers will be well prepared for pursuing either research related to the mechanical behavior of engineering materials or developmental work in engineering analysis and design. |
| sokolnikoff: Mechanics and Strength of Materials Vitor Dias da Silva, 2006-01-16 Gives a clear and thorough presentation of the fundamental principles of mechanics and strength of materials. Provides both the theory and applications of mechanics of materials on an intermediate theoretical level. Useful as a reference tool by postgraduates and researchers in the fields of solid mechanics as well as practicing engineers. |
| sokolnikoff: Supreme Court , |
| sokolnikoff: Conference at The Hague , 1922 |
| sokolnikoff: Conformal Mapping Roland Schinzinger, Patricio A. A. Laura, 2012-04-30 Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides. Other topics include vibrating membranes and acoustics, transverse vibrations and buckling of plates, stresses and strains in an elastic medium, steady state heat conduction in doubly connected regions, transient heat transfer in isotropic and anisotropic media, and fluid flow. Revision of 1991 ed. 247 figures. 38 tables. Appendices. |
| sokolnikoff: Fluid-Solid Interaction Dynamics Jing Tang Xing, 2019-08-30 Fluid-Solid Interaction Dynamics: Theory, Variational Principles, Numerical Methods and Applications gives a comprehensive accounting of fluid-solid interaction dynamics, including theory, numerical methods and their solutions for various FSI problems in engineering. The title provides the fundamental theories, methodologies and results developed in the application of FSI dynamics. Four numerical approaches that can be used with almost all integrated FSI systems in engineering are presented. Methods are linked with examples to illustrate results. In addition, numerical results are compared with available experiments or numerical data in order to demonstrate the accuracy of the approaches and their value to engineering applications. The title gives readers the state-of-the-art in theory, variational principles, numerical modeling and applications for fluid-solid interaction dynamics. Readers will be able to independently formulate models to solve their engineering FSI problems using information from this book. - Presents the state-of-the-art in fluid-solid interaction dynamics, providing theory, method and results - Takes an integrated approach to formulate, model and simulate FSI problems in engineering - Illustrates results with concrete examples - Gives four numerical approaches and related theories that are suitable for almost all integrated FSI systems - Provides the necessary information for bench scientists to independently formulate, model, and solve physical FSI problems in engineering |
| sokolnikoff: Journal of Research of the National Bureau of Standards United States. National Bureau of Standards, 1953 |
| sokolnikoff: Mechanics IUTAM USNC/TAM Carl T. Herakovich, 2016-05-14 This book provides a detailed history of the United States National Committee on Theoretical and Applied Mechanics (USNC/TAM) of the US National Academies, the relationship between the USNC/TAM and IUTAM, and a review of the many mechanicians who developed the field over time. It emphasizes the birth and growth of USNC/TAM, the birth and growth of the larger International Union of Theoretical and Applied Mechanics (IUTAM), and explores the work of mechanics from Aristotle to the present. Written by the former Secretary of USNC/TAM, Dr. Carl T. Herakovich of the University of Virginia, the book profiles luminaries of mechanics including Galileo, Newton, Bernoulli, Euler, Cauchy, Prandtl, Einstein, von Kármán, Timoshenko, and in so doing provides insight into centuries of scientific and technologic advance. |
| sokolnikoff: OT Report United States. Department of Commerce. Office of Telecommunications, 1977 |
| sokolnikoff: Cardiovascular Soft Tissue Mechanics Stephen C. Cowin, Jay D. Humphrey, 2001 Cowin (New York Center for Biomedical Engineering) and Humphrey (biomedical engineering, Texas A&M U.) present seven papers that discuss current research and future directions. Topics concern tissues within the cardiovascular system (arteries, the heart, and biaxial testing of planar tissues such as heart valves). Themes include an emphasis on data on the underlying microstructure, especially collagen; the consideration of the fact that both arteries and the heart contain muscle and that there is, therefore, a need to quantify both the active and passive response; constitutive relations for active behavior; and the growth and remodeling of cardiovascular tissues. Of interest to cardiovascular and biomechanics soft tissue researchers, and bioengineers. Annotation copyrighted by Book News, Inc., Portland, OR. |
| sokolnikoff: Physics of Elasticity and Crystal Defects Adrian P. Sutton, 2020-06-25 This textbook is a modern take on an old subject at the heart of materials physics. Properties of crystalline materials are almost always controlled by structural defects within them. Until relatively recently these defects were studied theoretically using continuum elasticity theory which ignores the atomic structure of the host material. This book introduces the concepts of elasticity in the traditional continuum way and also in terms of atomic interactions. It goes on to present point (impurities, missing atoms), line (dislocations) and planar (faults, cracks) defects at both the continuum level and the atomic level. This novel approach will be new to most engineers and it will appeal to physicists. There are exercises for the student to work through, with complete solutions free to course instructors from the OUP website. |
| sokolnikoff: Women in Mathematics Janet L. Beery, Sarah J. Greenwald, Jacqueline A. Jensen-Vallin, Maura B. Mast, 2017-12-02 This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. Emerging from the themed paper session “The Contributions of Women to Mathematics: 100 Years and Counting” at MAA's 2015 MathFest, this volume contains a diverse mix of current scholarship and exposition on women and mathematics, including biographies, histories, and cultural discussions. The multiplicity of authors also ensures a wide variety of perspectives. In inspiring and informative chapters, the authors featured in this volume reflect on the accomplishments of women in mathematics, showcasing the changes in mathematical culture that resulted as more women obtained tenure-track and tenured academic positions, received prestigious awards and honors, served in leadership roles in professional societies, and became more visibly active in the mathematical community. Readers will find discussions of mathematical excellence at Girton College, Cambridge, in the late 19th and early 20th centuries; of perseverance by Polish women in mathematics during and after World War II and by Black women in mathematics in the United States from the 1880s onward; and of the impact of outreach programs ranging from EDGE's promotion of graduate education to the Daughters of Hypatia dance performances. The volume also provides informative biographies of a variety of women from mathematics and statistics, many of them well-known and others less well-known, including Charlotte Angas Scott, Emmy Noether, Mina Rees, Gertrude Cox, Euphemia Lofton Haynes, Norma Hernandez, Deborah Tepper Haimo, and Teri Perl. These essays provide compelling reading for a wide audience, including mathematicians, historians of science, teachers of mathematics, and students at the high school, college, and graduate levels. Anyone interested in attracting more girls and women as students, faculty, and/or employees will also find this volume engaging and enlightening. |
| sokolnikoff: General Relativity for Planetary Navigation James Miller, Connie J. Weeks, 2021-08-31 This brief approaches General Relativity from a planetary navigation perspective, delving into the unconventional mathematical methods required to produce computer software for space missions. It provides a derivation of the Einstein field equations and describes experiments performed on the Near Earth Asteroid Rendezvous mission, spanning General Relativity Theory from the fundamental assumptions to experimental verification. The software used for planetary missions is derived from mathematics that use matrix notation. An alternative is to use Einstein summation notation, which enables the mathematics to be presented in a compact form but makes the geometry difficult to understand. In this book, the relationship of matrix notation to summation notation is shown. The purpose is to enable the reader to derive the mathematics used in the software in either matrix notation or summation notation. This brief is a useful tool for advanced students and young professionals embarking on careers in planetary navigation. |
| sokolnikoff: Applied Elasticity J D Renton, 2002-12-30 This updated version covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987. It emphasises 3-dimensional elasticity, concisely covering this important subject studied in most universities by filling the gap between a mathematical and the engineering approach. Based on the author's extensive research experience, it reflects the need for more sophisticated methods of elastic analysis than is usually taught at undergraduate level. The subject is presented at the level of sophistication for engineers with mathematical knowledge and those familiar with matrices. Readers wary of tensor notation will find help in the opening chapter. As his text progresses, the author uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis. Relatively inaccessible material with important applications receives special attention, e.g. Russian work on anisotropic materials, the technique of thermal imaging of strain, and an analysis of the San Andreas fault. Tensor equations are given in straightforward notation to provide a physical grounding and assist comprehension, and there are useful tables for the solution of problems. - Covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987 - Emphasises 3-dimensional elasticity and fills the gap between a mathematical and engineering approach - Uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis |
| sokolnikoff: Hydraulic Engineering John A. Roberson, John J. Cassidy, M. Hanif Chaudhry, 1998-02-12 The book includes a section on cavitation in hydraulic structures and a concise introduction to the physics of cavitation and application to hydraulic structures. It applies the laws of similitude to the use of physical models to improve hydraulic design and computer programs for the numerical solution of unsteady flow in closed and open channels. |
| sokolnikoff: Flow and Fracture of Rocks Hugh Corey Heard, 1972 Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 16 (The Griggs Volume). David Tressel Griggs was born October 6, 1911, in Columbus, Ohio. His parents were Robert Fiske and Laura Amelia Tressel Griggs. His father was a widely known professor of botany and a leading ecologist and environmental conservationist at a time when these viewpoints were less familiar than they are today. David was an undergraduate at Ohio State University in 1930 when he participated in a National Geographic Society expedition, led by his father, to the Valley of Ten Thousand Smokes. This Alaskan experience and the encouragement he received from a gifted and enthusiastic teacher, Professor Edmund M. Spieker, led him to choose for his life work the application of physics to the problems of the earth. After a year of graduate studies in geology at Ohio State, David moved on in 1933 to Harvard, where a new progTam of high-pressure studies devoted to geophysical problems had just been initiated under the inspired guidance of Percy W. Bridgman, pre-eminent leader in the experimental exploration of the physics of very high pressures and in the philosophical analysis of the logical processes of scientific thinking. |
| sokolnikoff: Construction and Applications of Conformal Maps Institute for Numerical Analysis (U.S.), 1952 |
| sokolnikoff: Applications of Functional Analysis in Engineering J. Nowinski, 2013-03-09 Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made sporadically over the preceding years, began to inspire systematic investigations into the common features of these three disciplines, which have developed rather independently of each other for so long. It was found that many concepts of this triad-analysis, algebra, geometry-could be incorporated into a single, but considerably more abstract, new discipline which came to be called functional analysis. In this way, many aspects of analysis and algebra acquired unexpected and pro found geometric meaning, while geometric methods inspired new lines of approach in analysis and algebra. A first significant step toward the unification and generalization of algebra, analysis, and geometry was taken by Hilbert in 1906, who studied the collection, later called 1 , composed of infinite sequences x = Xb X 2, ... , 2 X , ... , of numbers satisfying the condition that the sum Ik= 1 X 2 converges. k k The collection 12 became a prototype of the class of collections known today as Hilbert spaces. |
| sokolnikoff: Elasticity in Engineering Mechanics Arthur P. Boresi, Ken Pin Chong, 2000 Arthur Boresi and Ken Chong's Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory but also on concrete applications in real engineering situations, this work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals.--BOOK JACKET. |
| sokolnikoff: Mathematics for Quantum Chemistry Jay Martin Anderson, 2012-12-13 Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition. |
| sokolnikoff: Advances in Linear and Nonlinear Continuum and Structural Mechanics Holm Altenbach, Victor Eremeyev, 2023-12-03 This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers. |
| sokolnikoff: The Illustrated London News , 1929 |
| sokolnikoff: A First Course in Boundary Element Methods Steven L. Crouch, Sofia G. Mogilevskaya, 2024-07-22 This textbook delves into the theory and practical application of boundary integral equation techniques, focusing on their numerical solution for boundary value problems within potential theory and linear elasticity. Drawing parallels between single and double layer potentials in potential theory and their counterparts in elasticity, the book introduces various numerical procedures, namely boundary element methods, where unknown quantities reside on the boundaries of the region of interest. Through the approximation of boundary value problems into systems of algebraic equations, solvable by standard numerical methods, the text elucidates both indirect and direct approaches. Indirect methods involve single or double layer potentials separately while direct methods combine these potentials using Green's or Somigliana's formulas. The two approaches give comparable results for general boundary value problems. Tailored for beginning graduate students, this self-contained textbook offers detailed analytical and numerical derivations for isotropic and anisotropic materials, prioritizing simplicity in presentation while progressively advancing towards more intricate mathematical concepts, particularly focusing on two-dimensional problems within potential theory and linear elasticity. |
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