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Books > Science & Mathematics > Physics > Classical mechanics > General

6th International Conference on Adhesive Bonding 2021 - Selected Contributions of AB 2021 (Hardcover, 1st ed. 2021): Lucas F.... 6th International Conference on Adhesive Bonding 2021 - Selected Contributions of AB 2021 (Hardcover, 1st ed. 2021)
Lucas F. M. da Silva, Robert D. Adams
R4,688 Discovery Miles 46 880 Ships in 18 - 22 working days

This book focusses on structural bonding, including many facets, like fundamental aspects of adhesion, science and technology of surfaces, adhesive materials, mechanical properties of bonded joints, innovative designs and applications, testing and standardization, industrial aspects, quality procedures, environmental and ecological aspects. This first volume of the new series gathers selected contributions of the 6th international conference on structural adhesive bonding AB 2021, held in Porto, Portugal, 8-9 July 2021, represents the latest trends and serves as a reference volume for researchers and graduate students working in this field.

40 Classic Crude Oil Trades - Real-Life Examples of Innovative Trading (Paperback): Owain Johnson 40 Classic Crude Oil Trades - Real-Life Examples of Innovative Trading (Paperback)
Owain Johnson
R1,463 Discovery Miles 14 630 Ships in 9 - 17 working days

Some of the trades covered in the book are well known but most are only known to a small group or to market specialists. The ability to 'see into' actual trades offers a fascinating and unprecedented insight for those interested in the oil markets and gives the book broad appeal. The book can be used as an educational reference work by market participants and as a more general guide to how the crude oil market operates and the strategies that traders employ. There are very academic books about the theory of trading but nothing that directly covers real-life examples of innovative and winning trades, each of which illuminate a different aspect of trading or a different era in the oil markets. The presentation of each individual trade has been designed so that they can be used as case studies by business schools.

Plasticity and High Temperature Strength of Materials - Combined micro- and macro-mechanical approaches (Hardcover, 1988 ed.):... Plasticity and High Temperature Strength of Materials - Combined micro- and macro-mechanical approaches (Hardcover, 1988 ed.)
M. Ohnami
R7,923 Discovery Miles 79 230 Ships in 18 - 22 working days
Advanced Theories for Deformation, Damage and Failure in Materials (Hardcover, 1st ed. 2023): Holm Altenbach, Artur Ganczarski Advanced Theories for Deformation, Damage and Failure in Materials (Hardcover, 1st ed. 2023)
Holm Altenbach, Artur Ganczarski
R4,039 Discovery Miles 40 390 Ships in 18 - 22 working days

The book introduces advanced theories for deformation, damage, and failure in materials. The overall continuum mechanical framework was marked out and added by creep and damage mechanics of materials at elevated temperatures. The time-dependent and time-independent models of cyclic plasticity for low cycle and thermomechanical fatigue life assessment were specified in a very special manner: instead of three-dimensional statements, only one-dimensional rheological models were discussed. Anisotropic plasticity during non-proportional loading and anisotropy of yield/failure criteria is more and more important in modern applications. It is showing how the limit states of materials can be estimated. In addition, the damage and failure of composite materials demonstrate the possibility to extend continuum mechanics to continuum damage mechanics of composite materials.

Handbook of Energy Engineering (Hardcover, 8th edition): D.Paul Mehta, Albert. Thumann Handbook of Energy Engineering (Hardcover, 8th edition)
D.Paul Mehta, Albert. Thumann
R4,148 Discovery Miles 41 480 Ships in 9 - 17 working days

With new chapters on electrical system optimization and ISO 50001, this edition also covers the latest updates to codes and standards in the energy industry. Also included are chapters on energy economic analysis, energy auditing, waste heat recovery, utility system optimization, HVAC, cogeneration, control systems, energy management, compressed air system optimization and financing energy projects. Additional topics include emerging technologies such as oxy-fuel combustion, high efficiency burners, enhanced heat exchangers, and ceramic membranes for heat recovery as well as information on how to do an energy analysis of any system; electrical system optimization; state-of-the-art lighting and lighting controls. This reference will guide you step by step in applying the principles of energy engineering and management to the design of electrical, HVAC, utility, process and building systems for both new design and retrofit projects. The text is thoroughly illustrated with tables, graphs, diagrams and sample problems.

Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems (Hardcover, 1st ed. 2020): Igor Chueshov, Bjoern... Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems (Hardcover, 1st ed. 2020)
Igor Chueshov, Bjoern Schmalfuss
R3,376 Discovery Miles 33 760 Ships in 18 - 22 working days

The main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional dissipative systems. This text, which adapts readily to advanced graduate coursework in dissipative dynamics, requires some background knowledge in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for researchers in synchronization theory, the book is also relevant to physicists and engineers interested in both the mathematical background and the methods for the asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.

Jacobi Dynamics - Many-Body Problem in Integral Characteristics (Hardcover, 2nd Revised edition): V.I. Ferronsky, S.A. Denisik,... Jacobi Dynamics - Many-Body Problem in Integral Characteristics (Hardcover, 2nd Revised edition)
V.I. Ferronsky, S.A. Denisik, S.V. Ferronsky
R5,349 Discovery Miles 53 490 Ships in 18 - 22 working days

This book sets forth and builds upon the fundamentals of the dynamics of natural systems in formulating the problem presented by Jacobi in his famous lecture series "Vorlesungen tiber Dynamik" (Jacobi, 1884). In the dynamics of systems described by models of discrete and continuous media, the many-body problem is usually solved in some approximation, or the behaviour of the medium is studied at each point of the space it occupies. Such an approach requires the system of equations of motion to be written in terms of space co-ordinates and velocities, in which case the requirements of an internal observer for a detailed description of the processes are satisfied. In the dynamics discussed here we study the time behaviour of the fundamental integral characteristics of the physical system, i. e. the Jacobi function (moment of inertia) and energy (potential, kinetic and total), which are functions of mass density distribution, and the structure of a system. This approach satisfies the requirements of an external observer. It is designed to solve the problem of global dynamics and the evolution of natural systems in which the motion of the system's individual elements written in space co-ordinates and velocities is of no interest. It is important to note that an integral approach is made to internal and external interactions of a system which results in radiation and absorption of energy. This effect constitutes the basic physical content of global dynamics and the evolution of natural systems.

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Hardcover, 2010 ed.): P.L. Sachdev, Ch.... Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Hardcover, 2010 ed.)
P.L. Sachdev, Ch. Srinivasa Rao
R2,779 Discovery Miles 27 790 Ships in 18 - 22 working days

A large number of physical phenomena are modeled by nonlinear partial

differential equations, subject to appropriate initial/ boundary conditions; these

equations, in general, do not admit exact solution. The present monograph gives

constructive mathematical techniques which bring out large time behavior of

solutions of these model equations. These approaches, in conjunction with modern

computational methods, help solve physical problems in a satisfactory manner. The

asymptotic methods dealt with here include self-similarity, balancing argument,

and matched asymptotic expansions. The physical models discussed in some detail

here relate to porous media equation, heat equation with absorption, generalized

Fisher's equation, Burgers equation and its generalizations. A chapter each is

devoted to nonlinear diffusion and fluid mechanics. The present book will be found

useful by applied mathematicians, physicists, engineers and biologists, and would

considerably help understand diverse natural phenomena.

Dynamics of Dissipation (Hardcover, 2002 ed.): Piotr Garbaczewski, Robert Olkiewicz Dynamics of Dissipation (Hardcover, 2002 ed.)
Piotr Garbaczewski, Robert Olkiewicz
R2,938 Discovery Miles 29 380 Ships in 18 - 22 working days

This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environment-system coupling (decoherence) and applications of Markov semi-groups to name but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material.

The Quantum Theory-Origins and Ideas - A Historical Primer for Physics Students (Hardcover, 1st ed. 2021): Carl S. Helrich The Quantum Theory-Origins and Ideas - A Historical Primer for Physics Students (Hardcover, 1st ed. 2021)
Carl S. Helrich
R3,668 Discovery Miles 36 680 Ships in 10 - 15 working days

This book offers a fresh perspective on some of the central experimental and theoretical works that laid the foundations for today's quantum mechanics: It traces the theoretical and mathematical development of the hypotheses that put forward to explain puzzling experimental results; it also examines their interconnections and how they together evolved into modern quantum theory. Particular attention is paid to J.J. Thomson's atomic modeling and experiments at the Cavendish Laboratory, Max Planck's struggle to explain the experimental results of Heinrich Rubens and Ferdinand Kurlbaum, as well as the path leading from Louis de Broglie's ideas to the wave theory of Erwin Schroedinger. Combining his experience in teaching quantum mechanics with his interest in the historical roots of the subject, the author has created a valuable resource for understanding quantum physics through its history, and a book that is appreciated both by working physicists and historians.

Analytical Mechanics for Relativity and Quantum Mechanics (Hardcover, 2nd Revised edition): Oliver Johns Analytical Mechanics for Relativity and Quantum Mechanics (Hardcover, 2nd Revised edition)
Oliver Johns
R3,080 Discovery Miles 30 800 Ships in 10 - 15 working days

Analytical Mechanics for Relativity and Quantum Mechanics is an innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It is intended for use at the introductory graduate level. A distinguishing feature of the book is its integration of special relativity into teaching of classical mechanics. After a thorough review of the traditional theory, Part II of the book introduces extended Lagrangian and Hamiltonian methods that treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics. Advanced topics such as covariant Langrangians and Hamiltonians, canonical transformations, and Hamilton-Jacobi methods are simplified by the use of this extended theory. And the definition of canonical transformation no longer excludes the Lorenz transformation of special relativity.
This is also a book for those who study analytical mechanics to prepare for a critical exploration of quantum mechanics. Comparisons to quantum mechanics appear throughout the text. The extended Hamiltonian theory with time as a coordinate is compared to Dirac's formalism of primary phase space constraints. The chapter on relativistic mechanics shows how to use covariant Hamiltonian theory to write the Klein-Gordon and Dirac equations. The chapter on Hamilton-Jacobi theory includes a discussion of the closely related Bohm hidden variable model of quantum mechanics. Classical mechanics itself is presented with an emphasis on methods, such as linear vector operators and dyadics, that will familiarize the student with similar techniques in quantum theory. Several of the current fundamental problems in theoretical physics - the development of quantum information technology, and the problem of quantizing the gravitational field, to name two - require a rethinking of the quantum-classical connection.
Graduate students preparing for research careers will find a graduate mechanics course based on this book to be an essential bridge between their undergraduate training and advanced study in analytical mechanics, relativity, and quantum mechanics.
To request a copy of the Solutions Manual, visit: http: //global.oup.com/uk/academic/physics/admin/solutions

Fundamentals of Modern Unsteady Aerodynamics (Hardcover, 3rd ed. 2021): Uelgen Gulcat Fundamentals of Modern Unsteady Aerodynamics (Hardcover, 3rd ed. 2021)
Uelgen Gulcat
R4,761 Discovery Miles 47 610 Ships in 18 - 22 working days

This book introduces the concept of unsteady aerodynamics and its underlying principles. The author provides the readers with a comprehensive review of the fundamental physics of free and forced unsteadiness, the terminology and basic equations of aerodynamics ranging from incompressible flow to hypersonics. The book also covers modern topics related to the developments made in recent years, especially in relation to wing flapping for propulsion. The book is written for graduate and senior year undergraduate students in aerodynamics and also serves as a reference for experienced researchers. Each chapter includes ample examples, questions, problems and relevant references. This 3rd edition includes a new chapter about unsteady applications related to the thrust optimization, aerodynamic stability and trim because there has been much progress in unsteady applications of the flapping wing technology. In addition, further material is presented in Appendix for evaluating the stability derivatives so that no derivation of equations is left incomplete but not overdone in the text.

Mechanics for Engineers - A Text-Book of Intermediate Standard (Hardcover): Arthur Morley Mechanics for Engineers - A Text-Book of Intermediate Standard (Hardcover)
Arthur Morley
R855 R786 Discovery Miles 7 860 Save R69 (8%) Ships in 18 - 22 working days
Seven Tales of the Pendulum (Hardcover): Gregory L. Baker Seven Tales of the Pendulum (Hardcover)
Gregory L. Baker
R1,340 Discovery Miles 13 400 Ships in 10 - 15 working days

The pendulum is a unique physical system which exhibits remarkably varied and complex behavior under many different conditions. It is also a system which, in its many manifestations, has left a significant imprint on human thought and culture. Using graphs, figures, and narrative to explain scientific ideas and models, Gregory Baker gives a lucid account of the physics of the pendulum, showing the reader how the context of the pendulum progresses over four centuries from that of a simple system of classical physics, to that of a chaotic system, and eventually to that of a modern quantum system. He also describes its fascinating presence in cultural history, from its role in timekeeping and measurements of the earth to its importance as a literary symbol of doom.
Seven 'tales', detailing different important facets of the pendulum, show the exciting diversity of the science of the pendulum, and its untold significance in the history of human intellectual development.

August 1 (Hardcover, Reprint 2021): E Gutsche, K. Muller, P Goerlich August 1 (Hardcover, Reprint 2021)
E Gutsche, K. Muller, P Goerlich
R4,405 Discovery Miles 44 050 Ships in 10 - 15 working days
Nonconservative Stability Problems of Modern Physics (Hardcover, 2. rev. and exten. edition): Oleg N Kirillov Nonconservative Stability Problems of Modern Physics (Hardcover, 2. rev. and exten. edition)
Oleg N Kirillov
R5,478 Discovery Miles 54 780 Ships in 10 - 15 working days

This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler's destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.

Continuum Mechanics with Eulerian Formulations of Constitutive Equations (Hardcover, 1st ed. 2021): M.B. Rubin Continuum Mechanics with Eulerian Formulations of Constitutive Equations (Hardcover, 1st ed. 2021)
M.B. Rubin
R4,640 Discovery Miles 46 400 Ships in 10 - 15 working days

This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic-inelastic materials; thermoelastic-inelastic materials with application to shock waves; thermoelastic-inelastic porous materials; and thermoelastic-inelastic growing biological tissues.

Introduction to Orbital Perturbations (Hardcover, 1st ed. 2022): James M. Longuski, Felix R. Hoots, George E. Pollock IV Introduction to Orbital Perturbations (Hardcover, 1st ed. 2022)
James M. Longuski, Felix R. Hoots, George E. Pollock IV
R1,261 Discovery Miles 12 610 Ships in 10 - 15 working days

This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authors-all experienced experts in astrodynamics and space missions-take on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors. The stages are elementary yet rigorous; suggested student research project topics are provided. After deriving the variational equations, the authors apply them to many interesting problems, including the Earth-Moon system, the effect of an oblate planet, the perturbation of Mercury's orbit due to General Relativity, and the perturbation due to atmospheric drag. Along the way, they introduce several useful techniques such as averaging, Poincare's method of small parameters, and variation of parameters. In the end, this textbook will help students, practicing engineers, and professionals across the fields of astrodynamics, astronomy, dynamics, physics, planetary science, spacecraft missions, and others. "An extensive, detailed, yet still easy-to-follow presentation of the field of orbital perturbations." - Prof. Hanspeter Schaub, Smead Aerospace Engineering Sciences Department, University of Colorado, Boulder "This book, based on decades of teaching experience, is an invaluable resource for aerospace engineering students and practitioners alike who need an in-depth understanding of the equations they use." - Dr. Jean Albert Kechichian, The Aerospace Corporation, Retired "Today we look at perturbations through the lens of the modern computer. But knowing the why and the how is equally important. In this well organized and thorough compendium of equations and derivations, the authors bring some of the relevant gems from the past back into the contemporary literature." - Dr. David A Vallado, Senior Research Astrodynamicist, COMSPOC "The book presentation is with the thoroughness that one always sees with these authors. Their theoretical development is followed with a set of Earth orbiting and Solar System examples demonstrating the application of Lagrange's planetary equations for systems with both conservative and nonconservative forces, some of which are not seen in orbital mechanics books." - Prof. Kyle T. Alfriend, University Distinguished Professor, Texas A&M University

Elasticity and Geometry - From hair curls to the non-linear response of shells (Hardcover, New): Basile Audoly, Yves Pomeau Elasticity and Geometry - From hair curls to the non-linear response of shells (Hardcover, New)
Basile Audoly, Yves Pomeau
R4,488 Discovery Miles 44 880 Ships in 10 - 15 working days

We experience elasticity everywhere in daily life: in the straightening or curling of hairs, the irreversible deformations of car bodies after a crash, or the bouncing of elastic balls in ping-pong or soccer. The theory of elasticity is essential to the recent developments of applied and fundamental science, such as the bio-mechanics of DNA filaments and other macro-molecules, and the animation of virtual characters in computer graphics and materials science. In this book, the emphasis is on the elasticity of thin bodies (plates, shells, rods) in connection with geometry. It covers such topics as the mechanics of hairs (curled and straight), the buckling instabilities of stressed plates, including folds and conical points appearing at larger stresses, the geometric rigidity of elastic shells, and the delamination of thin compressed films. It applies general methods of classical analysis, including advanced nonlinear aspects (bifurcation theory, boundary layer analysis), to derive detailed, fully explicit solutions to specific problems. These theoretical concepts are discussed in connection with experiments. The book is self-contained. Mathematical prerequisites are vector analysis and differential equations. The book can serve as a concrete introduction to nonlinear methods in analysis.

Continuum Mechanics and Theory of Materials (Hardcover, 2nd ed. 2002): J.A. Kurth Continuum Mechanics and Theory of Materials (Hardcover, 2nd ed. 2002)
J.A. Kurth; Peter Haupt
R3,808 Discovery Miles 38 080 Ships in 10 - 15 working days

The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

A Project-Based Introduction to Computational Statics (Hardcover, 2nd ed. 2021): Andreas Oechsner A Project-Based Introduction to Computational Statics (Hardcover, 2nd ed. 2021)
Andreas Oechsner
R2,677 Discovery Miles 26 770 Ships in 18 - 22 working days

This book uses a novel concept to teach the finite element method, applying it to solid mechanics. This major conceptual shift takes away lengthy theoretical derivations in the face-to-face interactions with students and focuses on the summary of key equations and concepts; and to practice these on well-chosen example problems. For this new, 2nd edition, many examples and design modifications have been added, so that the learning-by-doing features of this book make it easier to understand the concepts and put them into practice. The theoretical derivations are provided as additional reading and students must study and review the derivations in a self-study approach. The book provides the theoretical foundations to solve a comprehensive design project in tensile testing. A classical clip-on extensometer serves as the demonstrator on which to apply the provided concepts. The major goal is to derive the calibration curve based on different approaches, i.e., analytical mechanics and based on the finite element method, and to consider further design questions such as technical drawings, manufacturing, and cost assessment. Working with two concepts, i.e., analytical and computational mechanics strengthens the vertical integration of knowledge and allows the student to compare and understand the different concepts, as well as highlighting the essential need for benchmarking any numerical result.

Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics (Hardcover, 1st ed. 2019): Visarath In,... Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics (Hardcover, 1st ed. 2019)
Visarath In, Patrick Longhini, Antonio Palacios
R5,186 Discovery Miles 51 860 Ships in 18 - 22 working days

This book presents collaborative research presented by experts in the field of nonlinear science provides the reader with contemporary, cutting-edge, research works that bridge the gap between theory and device realizations of nonlinear phenomena. The conference provides a unique forum for applications of nonlinear systems while solving practical problems in science and engineering. Topics include: chaos gates, social networks, communication, sensors, lasers, molecular motors, biomedical anomalies, and stochastic resonance. This book provides a comprehensive report of the various research projects presented at the International Conference on Applications in Nonlinear Dynamics (ICAND 2018) held in Maui, Hawaii, 2018. It can be a valuable tool for scientists and engineering interested in connecting ideas and methods in nonlinear dynamics with actual design, fabrication and implementation of engineering applications or devices.

Relativity, Gravitation and Cosmology - A Basic Introduction (Hardcover, 2nd Revised edition): Ta-Pei Cheng Relativity, Gravitation and Cosmology - A Basic Introduction (Hardcover, 2nd Revised edition)
Ta-Pei Cheng
R4,277 Discovery Miles 42 770 Ships in 10 - 15 working days

Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation, as well as many modern cosmological subjects, from primordial inflation and cosmic microwave anisotropy to the dark energy that propels an accelerating universe.
The author presents the subject with an emphasis on physical examples and simple applications without the full tensor apparatus. The reader first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, and cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe.
Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.

Nonlinear Waves and Solitons on Contours and Closed Surfaces (Hardcover, 3rd ed. 2022): Andrei Ludu Nonlinear Waves and Solitons on Contours and Closed Surfaces (Hardcover, 3rd ed. 2022)
Andrei Ludu
R4,028 Discovery Miles 40 280 Ships in 10 - 15 working days

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering.

Geometric Continuum Mechanics (Hardcover, 1st ed. 2020): Reuven Segev, Marcelo Epstein Geometric Continuum Mechanics (Hardcover, 1st ed. 2020)
Reuven Segev, Marcelo Epstein
R1,848 Discovery Miles 18 480 Ships in 10 - 15 working days

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include: Global stress and hyper-stress theories Applications of de Rham currents to singular dislocations Manifolds of mappings for continuum mechanics Kinematics of defects in solid crystals Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.

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