Introductory Differential Equations Book

Introductory Differential Equations


  • Author : Martha L. L. Abell
  • Publisher : Elsevier
  • Release Date : 2014-08-19
  • Genre: Mathematics
  • Pages : 530
  • ISBN 10 : 9780124172821

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Introductory Differential Equations Excerpt :

Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies. This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. It follows a traditional approach and includes ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple. Because many students need a lot of pencil-and-paper practice to master the essential concepts, the exercise sets are particularly comprehensive with a wide array of exercises ranging from straightforward to challenging. There are also new applications and extended projects made relevant to everyday life through the use of examples in a broad range of contexts. This book will be of interest to undergraduates in math, biology, chemistry, economics, environmental sciences, physics, computer science and engineering. Provides the foundations to assist students in learning how to read and understand the subject, but also helps students in learning how to read technical material in more advanced texts as they progress through their studies Exercise sets are particularly comprehensive with a wide range of exercises ranging from straightforward to challenging Includes new applications and extended projects made relevant to "everyday life" through the use of examples in a broad range of contexts Accessible approach with applied examples and will be good for non-math students, as well as for undergrad classes

Ordinary Differential Equations Book
Score: 5
From 2 Ratings

Ordinary Differential Equations


  • Author : Morris Tenenbaum
  • Publisher : Courier Corporation
  • Release Date : 1985-10-01
  • Genre: Mathematics
  • Pages : 852
  • ISBN 10 : 9780486649405

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Ordinary Differential Equations Excerpt :

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.

Introduction to Differential Equations  Second Edition Book

Introduction to Differential Equations Second Edition


  • Author : Michael E. Taylor
  • Publisher : American Mathematical Soc.
  • Release Date : 2021-10-21
  • Genre: Education
  • Pages : 388
  • ISBN 10 : 9781470467623

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Introduction to Differential Equations Second Edition Excerpt :

This text introduces students to the theory and practice of differential equations, which are fundamental to the mathematical formulation of problems in physics, chemistry, biology, economics, and other sciences. The book is ideally suited for undergraduate or beginning graduate students in mathematics, and will also be useful for students in the physical sciences and engineering who have already taken a three-course calculus sequence. This second edition incorporates much new material, including sections on the Laplace transform and the matrix Laplace transform, a section devoted to Bessel's equation, and sections on applications of variational methods to geodesics and to rigid body motion. There is also a more complete treatment of the Runge-Kutta scheme, as well as numerous additions and improvements to the original text. Students finishing this book will be well prepare

Notes on Diffy Qs Book

Notes on Diffy Qs


  • Author : Jiri Lebl
  • Publisher : Unknown
  • Release Date : 2019-11-13
  • Genre: Uncategoriezed
  • Pages : 468
  • ISBN 10 : 1706230230

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Notes on Diffy Qs Excerpt :

Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Introduction to Partial Differential Equations Book
Score: 1
From 1 Ratings

Introduction to Partial Differential Equations


  • Author : Peter J. Olver
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-08
  • Genre: Mathematics
  • Pages : 636
  • ISBN 10 : 9783319020990

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Introduction to Partial Differential Equations Excerpt :

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.

Partial Differential Equations Book
Score: 3
From 1 Ratings

Partial Differential Equations


  • Author : Walter A. Strauss
  • Publisher : John Wiley & Sons
  • Release Date : 2007-12-21
  • Genre: Mathematics
  • Pages : 468
  • ISBN 10 : 9780470054567

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Partial Differential Equations Excerpt :

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.

A Modern Introduction to Differential Equations Book

A Modern Introduction to Differential Equations


  • Author : Henry J. Ricardo
  • Publisher : Academic Press
  • Release Date : 2020-01-17
  • Genre: Mathematics
  • Pages : 556
  • ISBN 10 : 9780128182185

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A Modern Introduction to Differential Equations Excerpt :

A Modern Introduction to Differential Equations, Third Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical and numerical aspects of first-order equations, including slope fields and phase lines. The comprehensive resource then covers methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients, systems of linear differential equations, the Laplace transform and its applications to the solution of differential equations and systems of differential equations, and systems of nonlinear equations. Throughout the text, valuable pedagogical features support learning and teaching. Each chapter concludes with a summary of important concepts, and figures and tables are provided to help students visualize or summarize concepts. The book also includes examples and updated exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. Offers an accessible and highly readable resource to engage students Introduces qualitative and numerical methods early to build understanding Includes a large number of exercises from biology, chemistry, economics, physics and engineering Provides exercises that are labeled based on difficulty/sophistication and end-of-chapter summaries

A Friendly Introduction to Differential Equations Book

A Friendly Introduction to Differential Equations


  • Author : Mohammed K A Kaabar
  • Publisher : CreateSpace Independent Publishing Platform
  • Release Date : 2015-01-05
  • Genre: Mathematics
  • Pages : 164
  • ISBN 10 : 9781506004532

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A Friendly Introduction to Differential Equations Excerpt :

In this book, there are five chapters: The Laplace Transform, Systems of Homogenous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at "Answers to Odd-Numbered Exercises" section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II.

An Introduction to Partial Differential Equations Book

An Introduction to Partial Differential Equations


  • Author : Michael Renardy
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-04-18
  • Genre: Mathematics
  • Pages : 434
  • ISBN 10 : 9780387216874

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An Introduction to Partial Differential Equations Excerpt :

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

An Introduction to Differential Equations Book

An Introduction to Differential Equations


  • Author : Anil G. Ladde
  • Publisher : World Scientific Publishing Company Incorporated
  • Release Date : 2013
  • Genre: Mathematics
  • Pages : 619
  • ISBN 10 : 9814390062

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An Introduction to Differential Equations Excerpt :

For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. the advancement of knowledge in stochastic differential equations is spreading rapidly across the graduate and postgraduate programs in universities around the globe. This will be the first available book that can be used in any undergraduate/graduate stochastic modeling/applied mathematics courses and that can be used by an interdisciplinary researcher with a minimal academic background.An Introduction to Differential Equations: Volume 2 is a stochastic version of Volume 1 ("An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis"). Both books have a similar design, but naturally, differ by calculi. Again, both volumes use an innovative style in the presentation of the topics, methods and concepts with adequate preparation in deterministic Calculus.

An Introduction to Differential Equations and Their Applications Book

An Introduction to Differential Equations and Their Applications


  • Author : Stanley J. Farlow
  • Publisher : Courier Corporation
  • Release Date : 2012-10-23
  • Genre: Mathematics
  • Pages : 640
  • ISBN 10 : 9780486135137

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An Introduction to Differential Equations and Their Applications Excerpt :

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

An Introduction to Ordinary Differential Equations Book
Score: 5
From 2 Ratings

An Introduction to Ordinary Differential Equations


  • Author : James C. Robinson
  • Publisher : Cambridge University Press
  • Release Date : 2004-01-08
  • Genre: Mathematics
  • Pages : 416
  • ISBN 10 : 0521533910

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An Introduction to Ordinary Differential Equations Excerpt :

A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.

Ordinary Differential Equations Book

Ordinary Differential Equations


  • Author : Kenneth B. Howell
  • Publisher : CRC Press
  • Release Date : 2019-12-06
  • Genre: Mathematics
  • Pages : 892
  • ISBN 10 : 9781000701951

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Ordinary Differential Equations Excerpt :

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 c