Mathematics Applied to Deterministic Problems in the Natural Sciences

Mathematics Applied to Deterministic Problems in the Natural Sciences PDF Author: C. C. Lin
Publisher: SIAM
ISBN: 9781611971347
Category : Mathematics
Languages : en
Pages : 630

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Book Description
Addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences. The authors' case studies approach leads to excitement in teaching realistic problems. The many problems and exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers working on fluid mechanics, elasticity, perturbation methods, dimensional analysis, numerical analysis, continuum mechanics and differential equations.

Mathematics Applied to Deterministic Problems in the Natural Sciences

Mathematics Applied to Deterministic Problems in the Natural Sciences PDF Author: C. C. Lin
Publisher: SIAM
ISBN: 9781611971347
Category : Mathematics
Languages : en
Pages : 630

Get Book Here

Book Description
Addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences. The authors' case studies approach leads to excitement in teaching realistic problems. The many problems and exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers working on fluid mechanics, elasticity, perturbation methods, dimensional analysis, numerical analysis, continuum mechanics and differential equations.

Mathematics Applied to Deterministic Problems in the Natural Sciences

Mathematics Applied to Deterministic Problems in the Natural Sciences PDF Author: C. C. Lin
Publisher: SIAM
ISBN: 9780898712292
Category : Mathematics
Languages : en
Pages : 646

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Book Description
This book addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences, with exercises that reinforce, test and extend the reader's understanding. It may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers.

Mathematics Applied to Deterministic Problems in the Natural Sciences

Mathematics Applied to Deterministic Problems in the Natural Sciences PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 609

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Book Description


Evolutionary Equations with Applications in Natural Sciences

Evolutionary Equations with Applications in Natural Sciences PDF Author: Jacek Banasiak
Publisher: Springer
ISBN: 3319113224
Category : Mathematics
Languages : en
Pages : 505

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Book Description
With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.

Mathematical Modelling

Mathematical Modelling PDF Author: Murray S. Klamkin
Publisher: SIAM
ISBN: 9781611971767
Category : Technology & Engineering
Languages : en
Pages : 352

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Book Description
Designed for classroom use, this book contains short, self-contained mathematical models of problems in the physical, mathematical, and biological sciences first published in the Classroom Notes section of the SIAM Review from 1975-1985. The problems provide an ideal way to make complex subject matter more accessible to the student through the use of concrete applications. Each section has extensive supplementary references provided by the editor from his years of experience with mathematical modelling.

Problems in Applied Mathematics

Problems in Applied Mathematics PDF Author: Murray S. Klamkin
Publisher: SIAM
ISBN: 0898712599
Category : Mathematics
Languages : en
Pages : 612

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Book Description
A compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959.

Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics PDF Author: G. F. Roach
Publisher: Princeton University Press
ISBN: 1400842654
Category : Mathematics
Languages : en
Pages : 400

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Book Description
Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.

Iterative Solution of Nonlinear Equations in Several Variables

Iterative Solution of Nonlinear Equations in Several Variables PDF Author: J. M. Ortega
Publisher: SIAM
ISBN: 9780898719468
Category : Mathematics
Languages : en
Pages : 598

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Book Description
Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time.

Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory PDF Author: Michael D. Intriligator
Publisher: SIAM
ISBN: 0898715113
Category : Mathematics
Languages : en
Pages : 515

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Book Description
A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Theory of Differential Equations in Engineering and Mechanics

Theory of Differential Equations in Engineering and Mechanics PDF Author: Kam Tim Chau
Publisher: CRC Press
ISBN: 1351675621
Category : Mathematics
Languages : en
Pages : 1399

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Book Description
This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications. This first volume covers a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order and system of 1st order ODE in matrix form), PDE (1st order, 2nd, and higher order including wave, diffusion, potential, biharmonic equations and more). Plus more advanced topics such as Green’s function method, integral and integro-differential equations, asymptotic expansion and perturbation, calculus of variations, variational and related methods, finite difference and numerical methods. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in these books providing valuable information and mathematics background for their multi-disciplinary research and education.