Scientific & Mathematical Bodies

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Publisher : Springer Science & Business Media
ISBN 13 : 9460915671
Total Pages : 181 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Scientific & Mathematical Bodies by : SungWon Hwang

Download or read book Scientific & Mathematical Bodies written by SungWon Hwang and published by Springer Science & Business Media. This book was released on 2011-11-19 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the sensuous, living body without which individual knowing and learning is impossible. It is the interface between the individual and culture. Recent scholarship has moved from investigated knowing and learning as something in the mind or brain to understanding these phenomena in terms of the body (embodiment literature) or culture (social constructivism). These two literatures have expanded the understanding of cognition to include the role of the body in shaping the mind and to recognize the tight relation between mind and culture. However, there are numerous problems arising from ways in which the body and culture are thought in these separate research domains. In this book, the authors present an interdisciplinary, scientific initiative that brings together the concerns for body and for culture to develop a single theory of cognition centered on the living and lived body. This book thereby contributes to bridging the gap that currently exists between theory (knowing that) and praxis (knowing how) that is apparent in the existing science and mathematics education literatures.

What's Happening in the Mathematical Sciences

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Femininity, Mathematics and Science, 1880–1914

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Publisher : Springer
ISBN 13 : 0230246656
Total Pages : 264 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Femininity, Mathematics and Science, 1880–1914 by : C. Jones

Download or read book Femininity, Mathematics and Science, 1880–1914 written by C. Jones and published by Springer. This book was released on 2009-10-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the prism of gender, this text explores the contrasting cultures and practice of mathematics and science and asks how they impacted on women. Claire Jones assesses nineteenth-century ideas about women's intellect, femininity and masculinity, and assesses how these attitudes shaped women's experiences as students and practitioners.

The Mathematical Sciences in 2025

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Publisher : National Academies Press
ISBN 13 : 0309284570
Total Pages : 223 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis The Mathematical Sciences in 2025 by : National Research Council

Download or read book The Mathematical Sciences in 2025 written by National Research Council and published by National Academies Press. This book was released on 2013-06-13 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Science, Seti, and Mathematics

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Publisher : Berghahn Books
ISBN 13 : 1782380701
Total Pages : 220 pages
Book Rating : 4.7/5 (823 download)

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Book Synopsis Science, Seti, and Mathematics by : Carl L. DeVito

Download or read book Science, Seti, and Mathematics written by Carl L. DeVito and published by Berghahn Books. This book was released on 2013-11-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is as much a part of our humanity as music and art. And it is our mathematics that might be understandable, even familiar, to a distant race and might provide the basis for mutual communication. This book discusses, in a conversational way, the role of mathematics in the search for extraterrestrial intelligence. The author explores the science behind that search, its history, and the many questions associated with it, including those regarding the nature of language and the philosophical/psychological motivation behind this search.

Shape

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Publisher : Penguin
ISBN 13 : 1984879065
Total Pages : 481 pages
Book Rating : 4.9/5 (848 download)

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Book Synopsis Shape by : Jordan Ellenberg

Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Mathematical Methods of Many-Body Quantum Field Theory

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Publisher : CRC Press
ISBN 13 : 148228605X
Total Pages : 264 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Mathematical Methods of Many-Body Quantum Field Theory by : Detlef Lehmann

Download or read book Mathematical Methods of Many-Body Quantum Field Theory written by Detlef Lehmann and published by CRC Press. This book was released on 2004-08-30 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theo

Physics and Mathematics of Quantum Many-Body Systems

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Author :
Publisher : Springer Nature
ISBN 13 : 3030412652
Total Pages : 534 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Physics and Mathematics of Quantum Many-Body Systems by : Hal Tasaki

Download or read book Physics and Mathematics of Quantum Many-Body Systems written by Hal Tasaki and published by Springer Nature. This book was released on 2020-05-07 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

Discipline and Experience

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Publisher : University of Chicago Press
ISBN 13 : 0226139441
Total Pages : 306 pages
Book Rating : 4.2/5 (261 download)

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Book Synopsis Discipline and Experience by : Peter Dear

Download or read book Discipline and Experience written by Peter Dear and published by University of Chicago Press. This book was released on 1995-11-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Scientific Revolution has long been regarded as the beginning of modern science, there has been little consensus about its true character. While the application of mathematics to the study of the natural world has always been recognized as an important factor, the role of experiment has been less clearly understood. Peter Dear investigates the nature of the change that occurred during this period, focusing particular attention on evolving notions of experience and how these developed into the experimental work that is at the center of modern science. He examines seventeenth-century mathematical sciences—astronomy, optics, and mechanics—not as abstract ideas, but as vital enterprises that involved practices related to both experience and experiment. Dear illuminates how mathematicians and natural philosophers of the period—Mersenne, Descartes, Pascal, Barrow, Newton, Boyle, and the Jesuits—used experience in their argumentation, and how and why these approaches changed over the course of a century. Drawing on mathematical texts and works of natural philosophy from all over Europe, he describes a process of change that was gradual, halting, sometimes contradictory—far from the sharp break with intellectual tradition implied by the term "revolution."

Mathematical Understanding of Nature

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Publisher : American Mathematical Soc.
ISBN 13 : 1470418894
Total Pages : 167 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Understanding of Nature by : Vladimir Igorevich Arnolʹd

Download or read book Mathematical Understanding of Nature written by Vladimir Igorevich Arnolʹd and published by American Mathematical Soc.. This book was released on 2014-09-04 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science."--

Rigid Body Mechanics

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Publisher : John Wiley & Sons
ISBN 13 : 3527618821
Total Pages : 262 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Rigid Body Mechanics by : William B. Heard

Download or read book Rigid Body Mechanics written by William B. Heard and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a modern, concise and focused treatment of the mathematical techniques, physical theories and applications of rigid body mechanics, bridging the gap between the geometric and more classical approaches to the topic. It emphasizes the fundamentals of the subject, stresses the importance of notation, integrates the modern geometric view of mechanics and offers a wide variety of examples -- ranging from molecular dynamics to mechanics of robots and planetary rotational dynamics. The author has unified his presentation such that applied mathematicians, mechanical and astro-aerodynamical engineers, physicists, computer scientists and astronomers can all meet the subject on common ground, despite their diverse applications. * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/

Rehumanizing Mathematics for Black, Indigenous, and Latinx Students

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Publisher :
ISBN 13 : 9781680540093
Total Pages : 170 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Rehumanizing Mathematics for Black, Indigenous, and Latinx Students by : Imani Goffney

Download or read book Rehumanizing Mathematics for Black, Indigenous, and Latinx Students written by Imani Goffney and published by . This book was released on 2018 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education will never truly improve until it adequately addresses those students whom the system has most failed. The 2018 volume of Annual Perspectives in Mathematics Education (APME) series showcases the efforts of classroom teachers, school counselors and administrators, teacher educators, and education researchers to ensure mathematics teaching and learning is a humane, positive, and powerful experience for students who are Black, Indigenous, and/or Latinx. The book's chapters are grouped into three sections: Attending to Students' Identities through Learning, Professional Development That Embraces Community, and Principles for Teaching and Teacher Identity. To turn our schools into places where children who are Indigenous, Black, and Latinx can thrive, we need to rehumanize our teaching practices. The chapters in this volume describe a variety of initiatives that work to place these often marginalized students--and their identities, backgrounds, challenges, and aspirations--at the center of mathematics teaching and learning. We meet teachers who listen to and learn from their students as they work together to reverse those dehumanizing practices found in traditional mathematics education. With these examples as inspiration, this volume opens a conversation on what mathematics educators can do to enable Latinx, Black, and Indigenous students to build on their strengths and fulfill their promise.

The Many-body Problem

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Publisher : World Scientific
ISBN 13 : 9810214766
Total Pages : 992 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis The Many-body Problem by : Daniel Charles Mattis

Download or read book The Many-body Problem written by Daniel Charles Mattis and published by World Scientific. This book was released on 1993 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space ? such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz ? can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

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Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being by : George Lakoff

Download or read book Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and published by . This book was released on 2000-11-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the cognitive science of mathematical ideas.

The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 9048190916
Total Pages : 515 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering by : S. A. Paipetis

Download or read book The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering written by S. A. Paipetis and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Archimedes is held in high esteem by mathematicians, physicists and engineers as one of the most brilliant scientists of all time. These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering. There are also papers dealing with archaeological aspects and the myths and legends about Archimedes and about the Archimedes Palimpsest. Papers on the following subjects form part of the book: Hydrostatics (buoyancy, fluid pressure and density, stability of floating bodies); Mechanics (levers, pulleys, centers of gravity, laws of equilibrium); Pycnometry (measurement of volume and density); Integral Calculus (Archimedes as the father of the integral calculus, method of exhaustion, approximation of pi, determination of areas and volumes); Mathematical Physics (Archimedes as the father of mathematical physics, Law of the Lever, Law of Buoyancy, Axiomatization of Physics); History of Mathematics and Mechanics (Archimedes’ influence in antiquity, the middle ages, the Renaissance, and modern times; his influence on Leonado da Vinci, Galileo, Newton, and other giants of science and mathematics); Ancient Machines and Mechanisms (catapults, water screws, iron hands, compound pulleys, planetaria, water clocks, celestial globes, the Antikythera Mechanism); Archimedean Solids (their rediscovery in the Rennaisance and their applications in materials science and chemistry); Archimedean Legends (how stories of golden crowns, eureka moments, naked runs, burning mirrors, steam cannons, etc., have influenced us through the ages, whether true or not); The Cattle Problem (how its 18th century rediscovery inspired the study of equations with integer solutions); Teaching the Ideas of Archimedes (how his life and works have influenced the teaching of science, mathematics, and engineering).

The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies

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Publisher : Forgotten Books
ISBN 13 : 9781330139011
Total Pages : 606 pages
Book Rating : 4.1/5 (39 download)

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Book Synopsis The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies by : Arthur Gordon Webster

Download or read book The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies written by Arthur Gordon Webster and published by Forgotten Books. This book was released on 2015-06-17 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies: Being Lectures on Mathematical Physics The science of Dynamics may be variously classified. In by far the greater number of universities in both Europe and America it is dealt with by professed mathematicians, and is properly considered an essential part of mathematical discipline. Nevertheless it is but an application of mathematics to the most fundamental laws of Nature, and as such is of the highest importance to the physicist. The whole of modern Physics experiences the attempt to "explain" or describe phenomena in terms of motion, with conspicuous success in the departments of Light, Electricity, and the Kinetic Theory of Gases. It is therefore evident that no one can expect to materially advance our knowledge of Physics who is ignorant of the principles of Dynamics. It is nevertheless to be feared that this subject is often slighted by the physical student, partly on account of its difficulty, and partly because of the fact that the many excellent treatises on Dynamics existing in English address themselves chiefly to the mathematician, and often seem to lay more stress on examples in analysis or trigonometry than on the elucidation of physical laws. The aim of this book is to give in compact form a treatment of so much of this fundamental science of Dynamics as should be familiar to every serious student of physics (and in my opinion no less should suffice for the student of mathematics). The classical English treatises usually fill one or even two large volumes with one of the subdivisions of the subject, such as Dynamics of a Particle, Rigid Dynamics, Hydrodynamics or Elasticity. The student confronted with the five volumes of Routh, the three of Love, and the large work of Lamb is likely to be appalled at the size of the task before him. It is practically impossible for the physical student, while spending the necessary amount of time in the laboratory, to road through all these or similar works, and thus his knowledge of the whole subject generally remains fragmentary. The great work of Lord Kelvin and Tait, while treating the whole subject, is far too difficult for most students, though it must ever remain a mine of information for those sufficiently advanced. This book has grown out of the lectures which I have given at Clark University during the last fourteen years primarily to my own students of Physics. It is obvious that it leads to no particular examinations, from which we in America are to a large extent fortunately free. The text is not interrupted by examples for the student to work, which are found in groat numbers in the usual treatises, and to which I could hardly add. The attempt has been made to treat what is essential to the understanding of physical phenomena, leaving out what is chiefly of mathematical interest. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Mathematical Theory of Elastic and Elasto-Plastic Bodies

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Author :
Publisher : Elsevier
ISBN 13 : 148329191X
Total Pages : 343 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Theory of Elastic and Elasto-Plastic Bodies by : J. Necas

Download or read book Mathematical Theory of Elastic and Elasto-Plastic Bodies written by J. Necas and published by Elsevier. This book was released on 2017-02-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book acquaints the reader with the basic concepts and relations of elasticity and plasticity, and also with the contemporary state of the theory, covering such aspects as the nonlinear models of elasto-plastic bodies and of large deflections of plates, unilateral boundary value problems, variational principles, the finite element method, and so on.