Computing and Modeling

Author: Charles Henry Edwards,David E. Penney,David Calvis

Publisher: Prentice Hall

ISBN: 9780132061155

Category: Boundary value problems

Page: 804

View: 6425

This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like "Maple, Mathematica, " and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. For mathematicians and those in the field of computer science and engineering.
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Computing and Modeling Tech Update

Author: C. Henry Edwards,David E. Penney,David Calvis

Publisher: Pearson

ISBN: 9780134850474

Category:

Page: 576

View: 7510

For one-semester sophomore- or junior-level courses in Differential Equations. Fosters the conceptual development and geometric visualization students need--now available with MyLab Math Differential Equations: Computing and Modeling blends traditional algebra problem-solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena--a comprehensive approach that makes accessible a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout. For the first time, MyLab(tm) Math is available for the 5th Edition, providing online homework with immediate feedback, the complete eText, and more. Also available with MyLab Math MyLab(tm) Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0134996003 / 9780134996004 Differential Equations: Computing and Modeling Media Update and MyLab Math with Pearson eText -- Title-Specific Access Card Package, 5/e Package consists of: 0134850475 / 9780134850474 Differential Equations: Computing and Modeling Media Update 0134873084 / 9780134873084 MyLab Math plus Pearson eText - Standalone Access Card - for Differential Equations: Computing and Modeling Media Update
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Author: Dennis G. Zill

Publisher: Cengage Learning

ISBN: 1305965795

Category: Mathematics

Page: 50

View: 3300

DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9th Edition, strikes a balance between the analytical, qualitative, and quantitative approaches to the study of Differential Equations. This proven text speaks to students of varied majors through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, and definitions. Written in a straightforward, readable, and helpful style, the book provides a thorough overview of the topics typically taught in a first course in Differential Equations as well as an introduction to boundary-value problems and partial Differential Equations. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Author: C. Henry Edwards,David E. Penney,David Calvis

Publisher: N.A

ISBN: 9780134497181

Category:

Page: 792

View: 4084

For courses in Differential Equations and Linear Algebra . Concepts, methods, and core topics covering elementary differential equations and linear algebra through real-world applications In a contemporary introduction to differential equations and linear algebra, acclaimed authors Edwards and Penney combine core topics in elementary differential equations with concepts and methods of elementary linear algebra. Renowned for its real-world applications and blend of algebraic and geometric approaches, Differential Equations and Linear Algebra introduces you to mathematical modeling of real-world phenomena and offers the best problems sets in any differential equations and linear algebra textbook. The 4th Edition includes fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. Additionally, an Expanded Applications website containing expanded applications and programming tools is now available.
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Author: William E. Boyce,Richard C. DiPrima

Publisher: Wiley

ISBN: 9780471433392

Category: Mathematics

Page: 622

View: 9264

This revision of Boyce & DiPrima's text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences. A perennial best seller designed for engineers and scientists who need to use Elementary Differential Equations in their work and studies. The CD-ROM includes: The award-winning ODE Architect software. The software's 14 modules enable you to build and solve your own ODEs, and to use simulations and multimedia to develop detailed mathematical models and concepts in a truly interactive environment. The ODE Architect Companion. The Companion extends the ideas featured in each multimedia module. The web-based learning tools include: Review & Study Guidelines. The Chapter Review Guidelines will help you prepare for quizzes and exams. Online Review Quizzes. The quizzes enable you to test your knowledge of key concepts and provide diagnostic feedback that references appropriate sections in the text. PowerPoint Slides. You can print these slides out for in-class note taking. Getting Started with ODE Architect. This guide will help you get up-and-running with ODE Architect's simulations and multimedia.
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Author: C. Henry Edwards,David E. Penney

Publisher: Pearson Higher Ed

ISBN: 129203789X

Category: Mathematics

Page: 772

View: 6934

For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus. The Sixth Edition of this widely adopted book remains the same classic differential equations text it's always been, but has been polished and sharpened to serve both instructors and students even more effectively.Edwards and Penney teach students to first solve those differential equations that have the most frequent and interesting applications. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques.
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With Fourier Series and Boundary Value Problems

Author: Richard Haberman

Publisher: N.A

ISBN: 9780132638074

Category: Mathematics

Page: 736

View: 9287

KEY BENEFIT Emphasizing physical interpretations of mathematical solutions, this book introduces applied mathematics and presents partial differential equations. KEY TOPICS Leading readers from simple exercises through increasingly powerful mathematical techniques, this book discusses hear flow and vibrating strings and membranes, for a better understand of the relationship between mathematics and physical problems. It also emphasizes problem solving and provides a thorough approach to solutions. The third edition of , Elementary Applied Partial Differential Equations; With Fourier Series and Boundary Value Problems has been revised to include a new chapter covering dispersive waves. It also includes new sections covering fluid flow past a circular cylinder; reflection and refraction of light and sound waves; the finite element method; partial differential equations with spherical geometry; eigenvalue problems with a continuous and discrete spectrum; and first-order nonlinear partial differential equations. An essential reference for any technical or mathematics professional.
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Author: Charles Henry Edwards,David E. Penney,David Calvis

Publisher: Prentice Hall

ISBN: 9780132397308

Category: Mathematics

Page: 623

View: 9225

The Sixth Edition of this acclaimed differential equations book remains the same classic volume it's always been, but has been polished and sharpened to serve readers even more effectively. Offers precise and clear-cut statements of fundamental existence and uniqueness theorems to allow understanding of their role in this subject. Features a strong numerical approach that emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques. Inserts new graphics and text where needed for improved accessibility. A useful reference for readers who need to brush up on differential equations.
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With Fourier Series and Boundary Value Problems

Author: Richard Haberman

Publisher: Pearson College Division

ISBN: 9780321797056

Category: Mathematics

Page: 756

View: 7139

Normal 0 false false false This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.
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Author: Janet Amundson Romich

Publisher: Cengage Learning

ISBN: 113312576X

Category: Science

Page: 560

View: 9597

Providing the ultimate terminology reference for veterinary assistants and technicians, AN ILLUSTRATED GUIDE TO VETERINARY MEDICAL TERMINOLOGY, 4e provides an engaging, systematic approach to learning medical terms and understanding basic principles of veterinary medicine. This user-friendly textbook delivers a unique pedagogical presentation that makes it a comprehensive learning resource. Focusing on how medical terms are formed, analyzed, and defined, the text discusses anatomical landmarks, the positioning of animals, and the relationships between body parts. It also introduces terms used in the animal industry. Case studies illustrate how medical terminology is experienced in real-world practice, and an audio wordlist enables readers to hear the terms they are learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1467299480

Category: Education

Page: 26

View: 2932

Facts101 is your complete guide to Differential Equations and Boundary Value Problems , Computing and Modeling. In this book, you will learn topics such as Linear Equations of Higher Order, Introduction to Systems of Differantial Equations, Linear Systems of Differential Equations, and Nonlinear Systems and Phenomena plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.
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Author: R. Kent Nagle,E. B. Saff,Arthur David Snider

Publisher: Pearson College Division

ISBN: 9780321747747

Category: Mathematics

Page: 810

View: 4632

Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software. Fundamentals of Differential Equations, Eighth Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals of Differential Equations with Boundary Value Problems, Sixth Edition, contains enough material for a two-semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).
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Differential Equations, Modeling, and Computation

Author: Carmen Chicone

Publisher: Academic Press

ISBN: 0128041544

Category: Mathematics

Page: 878

View: 1975

An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. Presents an integrated wealth of modeling, analysis, and numerical methods in one volume Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM Includes a rich set of applications, with more appealing problems and projects suggested
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Author: Charles Henry Edwards,David E. Penney

Publisher: N.A

ISBN: 9780130113016

Category: Boundary value problems

Page: 740

View: 9360

This is a algebraic-oriented text, with computer enhancement for numerical methods. It is aimed at students of mathematics, engineering and science taking a course following calculus. It contains 1900 problem sets and 300 illustrations of computer generated graphics.
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Author: T Jangveladze,Z Kiguradze,Beny Neta

Publisher: Academic Press

ISBN: 0128046694

Category: Mathematics

Page: 254

View: 5011

This book describes three classes of nonlinear partial integro-differential equations. These models arise in electromagnetic diffusion processes and heat flow in materials with memory. Mathematical modeling of these processes is briefly described in the first chapter of the book. Investigations of the described equations include theoretical as well as approximation properties. Qualitative and quantitative properties of solutions of initial-boundary value problems are performed therafter. All statements are given with easy understandable proofs. For approximate solution of problems different varieties of numerical methods are investigated. Comparison analyses of those methods are carried out. For theoretical results the corresponding graphical illustrations are included in the book. At the end of each chapter topical bibliographies are provided. Investigations of the described equations include theoretical as well as approximation properties Detailed references enable further independent study Easily understandable proofs describe real-world processes with mathematical rigor
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Author: Lokenath Debnath

Publisher: Springer Science & Business Media

ISBN: 9780817682651

Category: Mathematics

Page: 860

View: 1097

The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.
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Theory and Completely Solved Problems

Author: Thomas Hillen,I. E. Leonard,Henry van Roessel

Publisher: John Wiley & Sons

ISBN: 1118438434

Category: Mathematics

Page: 696

View: 5376

Uniquely provides fully solved problems for linear partial differential equations and boundary value problems Partial Differential Equations: Theory and Completely Solved Problems utilizes real-world physical models alongside essential theoretical concepts. With extensive examples, the book guides readers through the use of Partial Differential Equations (PDEs) for successfully solving and modeling phenomena in engineering, biology, and the applied sciences. The book focuses exclusively on linear PDEs and how they can be solved using the separation of variables technique. The authors begin by describing functions and their partial derivatives while also defining the concepts of elliptic, parabolic, and hyperbolic PDEs. Following an introduction to basic theory, subsequent chapters explore key topics including: • Classification of second-order linear PDEs • Derivation of heat, wave, and Laplace’s equations • Fourier series • Separation of variables • Sturm-Liouville theory • Fourier transforms Each chapter concludes with summaries that outline key concepts. Readers are provided the opportunity to test their comprehension of the presented material through numerous problems, ranked by their level of complexity, and a related website features supplemental data and resources. Extensively class-tested to ensure an accessible presentation, Partial Differential Equations is an excellent book for engineering, mathematics, and applied science courses on the topic at the upper-undergraduate and graduate levels.
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Author: Alfio Quarteroni

Publisher: Springer Science & Business Media

ISBN: 9788847010710

Category: Mathematics

Page: 601

View: 8486

In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.
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