436,85 zł

Molecular Dynamics Springer International Publishing AG

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This book describes the mathematical underpinnings of algorithms used for molecular dynamics simulation, including both deterministic and stochastic numerical methods. Molecular dynamics is one of the most versatile and powerful methods of modern computational science and engineering and is used widely in chemistry, physics, materials science and biology. Understanding the foundations of numerical methods means knowing how to select the best one for a given problem (from the wide range of techniques on offer) and how to create new, efficient methods to address particular challenges as they arise in complex applications.Aimed at a broad audience, this book presents the basic theory of Hamiltonian mechanics and stochastic differential equations, as well as topics including symplectic numerical methods, the handling of constraints and rigid bodies, the efficient treatment of Langevin dynamics, thermostats to control the molecular ensemble, multiple time-stepping, and the dissipative particle dynamics method.

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310,52 zł

Mathematical Analysis II Springer-Verlag Berlin and Heidelberg GmbH & Co....

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This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, integral transforms, and distributions. Especially notable in this course is the clearly expressed orientation toward the natural sciences and its informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems and fresh applications to areas seldom touched on in real analysis books.§The second volume expounds classical analysis as it is today, as a part of unified mathematics, and its interactions with modern mathematical courses such as algebra, differential geometry, differential equations, complex and functional analysis. The book provides a firm foundation for advanced work in any of these directions.

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323,99 zł

Numerical Python in Astronomy and Astrophysics Springer Nature Switzerland AG

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This book provides a solid foundation in the Python programming language, numerical methods, and data analysis, all embedded within the context of astronomy and astrophysics. It not only enables students to learn programming with the aid of examples from these fields but also provides ample motivation for engagement in independent research. The book opens by outlining the importance of computational methods and programming algorithms in contemporary astronomical and astrophysical research, showing why programming in Python is a good choice for beginners. The performance of basic calculations with Python is then explained with reference to, for example, Kepler's laws of planetary motion and gravitational and tidal forces. Here, essential background knowledge is provided as necessary. Subsequent chapters are designed to teach the reader to define and use important functions in Python and to utilize numerical methods to solve differential equations and landmark dynamical problems in astrophysics. Finally, the analysis of astronomical data is discussed, with various hands-on examples as well as guidance on astronomical image analysis and applications of artificial neural networks.

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1263,53 zł

Wave Fields in Real Media Elsevier Science Publishing Co Inc

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Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed to show the physics of wave propagation.New topics covered in this edition include Fermat principle and its relation to Snell law; S-wave amplification function; bounds and averages of seismic Q; seismic attenuation in partially molten rocks; fluid-pressure diffusion in isotropic media; equivalent inclusion average stress model; cracks and pores effective medium model; Thermo-poroelasticity; the Kjartansson model of thermoelastic attenuation; magnetotellurics; machine learning in geophysics; and thermoelastic wave simulation with the Cole-Cole model. Wave Fields in Real Media contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. Examines the fundamentals of wave propagation in anisotropic, anelastic, and porous media Presents all equations and concepts necessary to understand the physics of wave propagation Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

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563,27 zł

Optimal Shape Design for Elliptic Systems Springer-Verlag Berlin and Heidelberg GmbH & Co....

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The study of optimal shape design can be arrived at by asking the following question: "What is the best shape for a physical system?" This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single criterion function. There are many problems of this type in high-technology industries. In fact, most numerical simulations of physical systems are solved not to gain better understanding of the phenomena but to obtain better control and design. Problems of this type are described in Chapter 2. Traditionally, optimal shape design has been treated as a branch of the calculus of variations and more specifically of optimal control. This subject interfaces with no less than four fields: optimization, optimal control, partial differential equations (PDEs), and their numerical solutions-this is the most difficult aspect of the subject. Each of these fields is reviewed briefly: PDEs (Chapter 1), optimization (Chapter 4), optimal control (Chapter 5), and numerical methods (Chapters 1 and 4).

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512,72 zł

Stochastic Calculus, 1 Birkhäuser

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This work focuses on analyzing and presenting solutions for a wide range of stochastic problems that are encountered in applied mathematics, probability, physics, engineering, finance, and economics. The approach used reduces the gap between the mathematical and engineering literature. Stochastic problems are defined by algebraic, differential or integral equations with random coefficients and/or input. However, it is the type, rather than the particular field of application, that is used to categorize these problems.§An introductory chapter outlines the types of stochastic problems under consideration in this book and illustrates some of their applications. A user friendly, systematic exposition unfolds as follows: The essentials of probability theory, random processes, stochastic integration, and Monte Carlo simulation are developed in chapters 2--5. The Monte Carlo method is used extensively to illustrate difficult theoretical concepts and solve numerically some of the stochastic problems in chapters 6--9.§Key features:§Computational skills developed as needed to solve realistic stochastic problems §Classical mathematical notation used, and essential theoretical facts boxed §Numerous examples from applied sciences and engineering §Complete proofs given; if too technical, notes clarify the idea and/or main steps §Problems at the end of each chapter reinforce applications; hints given. §Good bibliography at the end of every chapter §Comprehensive index§This work is unique, self-contained, and far from a collection of facts and formulas. The analytical and numerical methods approach for solving stochastic problems may be used for self-study by a variety of researchers, and in the classroom by first year graduate students.§

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1339,41 zł

Handbook of Numerical Heat Transfer John Wiley & Sons Inc

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A completely updated edition of the acclaimed single-volume reference for heat transfer and the thermal sciences This Second Edition of Handbook of Numerical Heat Transfer covers the basic equations for numerical method calculations regarding heat transfer problems and applies these to problems encountered in aerospace, nuclear power, chemical processes, electronic packaging, and other related areas of mechanical engineering. As with the first edition, this complete revision presents comprehensive but accessible coverage of the necessary formulations, numerical schemes, and innovative solution techniques for solving problems of heat and mass transfer and related fluid flows. Featuring contributions from some of the most prominent authorities in the field, articles are grouped by major sets of methods and functions, with the text describing new and improved, as well as standard, procedures.Handbook of Numerical Heat Transfer, Second Edition includes: Updated coverage of parabolic systems, hyperbolic systems, integral-and integro-differential systems, Monte Carlo and perturbation methods, and inverse problems Usable computer programs that allow quick applications to aerospace, chemical, nuclear, and electronic packaging industries User-friendly nomenclature listings include all the symbols used in each chapter so that chapter-specific symbols are readily available

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788,18 zł

Applied Mathematics, Fourth Edition John Wiley & Sons Inc

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Now in a thoroughly updated and revised fourth edition, this volume features new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. It introduces key ideas in mathematical methods and modeling, focusing on the connections between mathematics and the applied and natural sciences. This edition emphasizes probability and stochastic differential equations and includes additional coverage of mathematics biology, including biochemical kinetics, epidemiology, viral dynamics, parasitic diseases, and more. New and revised exercises are incorporated throughout.

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374,84 zł

Putnam and Beyond Springer International Publishing AG

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This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quadratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

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512,72 zł

Compendium of Theoretical Physics Springer-Verlag New York Inc.

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Mechanics, Electrodynamics, Quantum Mechanics, and Statistical Mechanics and Thermodynamics comprise the canonical undergraduate curriculum of theoretical physics. In Compendium of Theoretical Physics, Armin Wachter and Henning Hoeber offer a concise, rigorous and structured overview that will be invaluable for students preparing for their qualifying examinations, readers needing a supplement to standard textbooks, and research or industrial physicists seeking a bridge between extensive textbooks and formula books.§§The authors take an axiomatic-deductive approach to each topic, starting the discussion of each theory with its fundamental equations. By subsequently deriving the various physical relationships and laws in logical rather than chronological order, and by using a consistent presentation and notation throughout, they emphasize the connections between the individual theories. The reader s understanding is then reinforced with exercises, solutions and topic summaries.§§Unique Features:§§§Every topic is reviewed axiomatically-deductively and then reinforced through exercises, solutions and summaries§§§Each subchapter ends with a set of applications, making the Compendium an ideal review of theoretical physics for physicists working in industry or research§§§A Mathematical Appendix covers vector operations, integral theorems, partial differential quotients, complete function systems, Fourier analysis, Bessel functions, spherical Bessel functions, Legendre functions, Legendre polynomials and spherical harmonics§§§Armin Wachter holds a Ph.D. in Physics from the John von Neumann Institute for Computing (NIC) / Research Centre of Jülich, Germany. His research interests include theoretical elementary particle physics, heavy quark physics, heavy meson spectroscopy, algorithms on parallel computers, and lattice gauge theory. He is presently writing a textbook on relativistic quantum mechanics for Springer.§§Henning Hoeber received his Ph.D. in Physics from the University of Edinburgh, Scotland and has since held research positions at the John von Neumann Institute for Computing (NIC) / Research Centre of Jülich, Germany and the University of Wuppertal, Germany. His research interests include elementary particle physics, lattice gauge theory, and computational physics, and since 1998 he has done extensive work in the fields of seismic processing, time series analysis, statistical and transform methods for seismic signal processing, and elastic wave propagation.

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275,85 zł

Finite Elements Cambridge University Press

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An easy-to-understand guide covering the key principles of finite element methods and its applications to differential equations.

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