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Fundamentals Of Differential Equations

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Fundamentals of Differential Equations

Fundamentals of Differential Equations Book
Author : R. Kent Nagle,E. B. Saff,Arthur David Snider
Publisher : Unknown
Release : 2018
ISBN : 9780321977069
Language : En, Es, Fr & De

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Book Description :

For one-semester sophomore- or junior-level courses in Differential Equations. An introduction to the basic theory and applications of differential equations Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. For the first time, MyLab(TM) Math is available for this text, providing online homework with immediate feedback, the complete eText, and more. Note that a longer version of this text, entitled Fundamentals of Differential Equations and Boundary Value Problems, 7th Edition , contains enough material for a two-semester course. This longer text consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm--Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory). Also available with MyLab Math MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. Note: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for 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, search for: 0134768744 / 9780134768748 Fundamentals of Differential Equations plus MyLab Math with Pearson eText -- Title-Specific Access Card Package, 9/e Package consists of: 0134764838 / 9780134764832 MyLab Math with Pearson eText -- Standalone Access Card -- for Fundamentals of Differential Equations 0321977068 / 9780321977069 Fundamentals of Differential Equations

Fundamentals of Differential Equations

Fundamentals of Differential Equations Book
Author : R. Kent Nagle,Edward B. Saff,Arthur David Snider
Publisher : Addison-Wesley
Release : 2008-07
ISBN : 9780321604347
Language : En, Es, Fr & De

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Book Description :

This package (book + CD-ROM) has been replaced by the ISBN 0321388410 (which consists of the book alone). The material that was on the CD-ROM is available for download at http://aw-bc.com/nss 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, Seventh Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals of Differential Equations with Boundary Value Problems, Fifth 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).

Fundamentals of Differential Equations

Fundamentals of Differential Equations Book
Author : R. Kent Nagle,Edward B. Saff,Arthur David Snider
Publisher : Unknown
Release : 2012
ISBN : 9780321758200
Language : En, Es, Fr & De

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Book Description :

This text presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. It offers the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Kenneth B. Howell
Publisher : CRC Press
Release : 2019-12-06
ISBN : 1000701956
Language : En, Es, Fr & De

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Book Description :

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition. It is unique in its approach to motivation, precision, explanation and method. Its layered approach offers the instructor opportunity for greater flexibility in coverage and depth. Students will appreciate the author’s approach and engaging style. Reasoning behind concepts and computations motivates readers. New topics are introduced in an easily accessible manner before being further developed later. The author emphasizes a basic understanding of the principles as well as modeling, computation procedures and the use of technology. The students will further appreciate the guides for carrying out the lengthier computational procedures with illustrative examples integrated into the discussion. Features of the Second Edition: Emphasizes motivation, a basic understanding of the mathematics, modeling and use of technology A layered approach that allows for a flexible presentation based on instructor's preferences and students’ abilities An instructor’s guide suggesting how the text can be applied to different courses New chapters on more advanced numerical methods and systems (including the Runge-Kutta method and the numerical solution of second- and higher-order equations) Many additional exercises, including two "chapters" of review exercises for first- and higher-order differential equations An extensive on-line solution manual About the author: Kenneth B. Howell earned bachelor’s degrees in both mathematics and physics from Rose-Hulman Institute of Technology, and master’s and doctoral degrees in mathematics from Indiana University. For more than thirty years, he was a professor in the Department of Mathematical Sciences of the University of Alabama in Huntsville. Dr. Howell published numerous research articles in applied and theoretical mathematics in prestigious journals, served as a consulting research scientist for various companies and federal agencies in the space and defense industries, and received awards from the College and University for outstanding teaching. He is also the author of Principles of Fourier Analysis, Second Edition (Chapman & Hall/CRC, 2016).

Fundamentals of Differential Geometry

Fundamentals of Differential Geometry Book
Author : Serge Lang
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461205417
Language : En, Es, Fr & De

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Book Description :

This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER

Fundamentals of Differential Equations and Boundary Value Problems

Fundamentals of Differential Equations and Boundary Value Problems Book
Author : R. Nagle,Edward Saff,Arthur Snider
Publisher : Unknown
Release : 2017-01-04
ISBN : 9780321977106
Language : En, Es, Fr & De

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Book Description :

For one-semester sophomore- or junior-level courses in Differential Equations. An introduction to the basic theory and applications of differential equations Fundamentals of Differential Equations and Boundary Value Problems presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. For the first time, MyLab(TM) Math is available for this text, providing online homework with immediate feedback, the complete eText, and more. Note that a shorter version of this text, entitled Fundamentals of Differential Equations, 9th Edition , contains enough material for a one-semester course. This shorter text consists of chapters 1-10 of the main text. Also available with MyLab Math MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. Note: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for 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, search for: 013476871X / 9780134768717 Fundamentals of Differential Equations and Boundary Value Problems Plus MyLab Math with Pearson eText -- Title-Specific Access Card Package, 7/e Package consists of: 0134764773 / 9780134764771 MyLab Math with Pearson eText -- Standalone Access Card -- for Fundamentals of Differential Equations and Boundary Value Problems 0321977106 / 9780321977106 Fundamentals of Differential Equations and Boundary Value Problems

Introduction to Partial Differential Equations

Introduction to Partial Differential Equations Book
Author : Peter J. Olver
Publisher : Springer Science & Business Media
Release : 2013-11-08
ISBN : 3319020994
Language : En, Es, Fr & De

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Book Description :

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

A First Course in the Numerical Analysis of Differential Equations

A First Course in the Numerical Analysis of Differential Equations Book
Author : A. Iserles
Publisher : Cambridge University Press
Release : 2009
ISBN : 0521734908
Language : En, Es, Fr & De

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Book Description :

lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.

Fundamentals of Differential Equations and Boundary Value Problems

Fundamentals of Differential Equations and Boundary Value Problems Book
Author : R. Kent Nagle,E. B. Saff
Publisher : Addison Wesley Publishing Company
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This textbook for a one- or two-semester course in basic theory as well as applications of differential equations includes chapters on eigenvalue problems and Sturm-Liouville equations, stability of autonomous systems, and existence and uniqueness theory. The third edition adds a section on vibrations, an expanded review of linear algebraic equations and matrices, and a new treatment of Taylor polynomials. The CD-ROM helps visualize concepts with applications drawn from engineering, physics, chemistry, and biology. Annotation copyrighted by Book News, Inc., Portland, OR

A Course in Differential Equations with Boundary Value Problems

A Course in Differential Equations with Boundary Value Problems Book
Author : Stephen A. Wirkus,Randall J. Swift,Ryan Szypowski
Publisher : CRC Press
Release : 2017-01-24
ISBN : 1498736068
Language : En, Es, Fr & De

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Book Description :

A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student’s field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged. The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra. Most significantly, computer labs are given in MATLAB®, Mathematica®, and MapleTM. The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included. Features MATLAB®, Mathematica®, and MapleTM are incorporated at the end of each chapter. All three software packages have parallel code and exercises; There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students. An appendix that gives the reader a "crash course" in the three software packages. Chapter reviews at the end of each chapter to help the students review Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see Answers to most of the odd problems in the back of the book

Ordinary Differential Equations Basics and Beyond

Ordinary Differential Equations  Basics and Beyond Book
Author : David G. Schaeffer,John W. Cain
Publisher : Springer
Release : 2016-11-10
ISBN : 1493963899
Language : En, Es, Fr & De

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Book Description :

This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text (www.math.duke.edu/ode-book). Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Morris Tenenbaum,Harry Pollard
Publisher : Courier Corporation
Release : 1985-10-01
ISBN : 0486649407
Language : En, Es, Fr & De

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Book Description :

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Foundations of the Classical Theory of Partial Differential Equations

Foundations of the Classical Theory of Partial Differential Equations Book
Author : Yu.V. Egorov,M.A. Shubin
Publisher : Springer Science & Business Media
Release : 2013-12-01
ISBN : 3642580939
Language : En, Es, Fr & De

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Book Description :

From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993

Principles of Partial Differential Equations

Principles of Partial Differential Equations Book
Author : Alexander Komech,Andrew Komech
Publisher : Springer Science & Business Media
Release : 2009-10-05
ISBN : 1441910956
Language : En, Es, Fr & De

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Book Description :

This concise book covers the classical tools of Partial Differential Equations Theory in today’s science and engineering. The rigorous theoretical presentation includes many hints, and the book contains many illustrative applications from physics.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Philip Hartman
Publisher : SIAM
Release : 2002-01-01
ISBN : 0898715105
Language : En, Es, Fr & De

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Book Description :

Covers the fundamentals of the theory of ordinary differential equations.

Differential Equations

Differential Equations Book
Author : Christian Constanda
Publisher : Springer
Release : 2017-03-14
ISBN : 3319502247
Language : En, Es, Fr & De

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Book Description :

This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference.

Fundamentals of Differential Equations

Fundamentals of Differential Equations Book
Author : R. Kent Nagle,E. B. Saff,Arthur David Snider
Publisher : Addison-Wesley
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This text is in a flexible one-semester text that spans a variety of topics in the basic theory as well as applications of differential equations.

Fundamentals of Engineering Numerical Analysis

Fundamentals of Engineering Numerical Analysis Book
Author : Parviz Moin
Publisher : Cambridge University Press
Release : 2010-08-23
ISBN : 1139489550
Language : En, Es, Fr & De

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Book Description :

Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Partial Differential Equations

Partial Differential Equations Book
Author : Walter A. Strauss
Publisher : John Wiley & Sons
Release : 2007-12-21
ISBN : 0470054565
Language : En, Es, Fr & De

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Book Description :

Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables. While focusing on the three most classical partial differential equations (PDEs)—the wave, heat, and Laplace equations—this detailed text also presents a broad practical perspective that merges mathematical concepts with real-world application in diverse areas including molecular structure, photon and electron interactions, radiation of electromagnetic waves, vibrations of a solid, and many more. Rigorous pedagogical tools aid in student comprehension; advanced topics are introduced frequently, with minimal technical jargon, and a wealth of exercises reinforce vital skills and invite additional self-study. Topics are presented in a logical progression, with major concepts such as wave propagation, heat and diffusion, electrostatics, and quantum mechanics placed in contexts familiar to students of various fields in science and engineering. By understanding the properties and applications of PDEs, students will be equipped to better analyze and interpret central processes of the natural world.

Fundamentals of University Mathematics

Fundamentals of University Mathematics Book
Author : Colin McGregor,Jonathan Nimmo,Wilson Stothers
Publisher : Elsevier
Release : 2010-10-20
ISBN : 0857092243
Language : En, Es, Fr & De

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Book Description :

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics. Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems. The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topics Clearly and comprehensively covers material beyond standard textbooks Worked examples, challenges and exercises throughout