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Introductory Differential Equations

Introductory Differential Equations
A Book

by Martha L. L. Abell,James P. Braselton

  • Publisher : Elsevier
  • Release : 2014-08-19
  • Pages : 530
  • ISBN : 0124172822
  • Language : En, Es, Fr & De
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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

Introductory Differential Equations

Introductory Differential Equations
with Boundary Value Problems, Student Solutions Manual (e-only)

by Martha L. Abell,James P. Braselton

  • Publisher : Academic Press
  • Release : 2010-04-20
  • Pages : 212
  • ISBN : 9780123846655
  • Language : En, Es, Fr & De
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This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. Some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple would be recommended and/or required ancillaries. 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 range of exercises ranging from straightforward to challenging. Many different majors will require differential equations and applied mathematics, so there should be a lot of interest in an intro-level text like this. The accessible writing style will be good for non-math students, as well as for undergrad classes.

An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications
A Book

by Stanley J. Farlow

  • Publisher : Courier Corporation
  • Release : 2012-10-23
  • Pages : 640
  • ISBN : 0486135136
  • Language : En, Es, Fr & De
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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.

Introduction to Differential Equations

Introduction to Differential Equations
A Book

by Michael Eugene Taylor

  • Publisher : American Mathematical Soc.
  • Release : 2011
  • Pages : 409
  • ISBN : 082185271X
  • Language : En, Es, Fr & De
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The mathematical formulations of problems in physics, economics, biology, and other sciences are usually embodied in differential equations. The analysis of the resulting equations then provides new insight into the original problems. This book describes the tools for performing that analysis. The first chapter treats single differential equations, emphasizing linear and nonlinear first order equations, linear second order equations, and a class of nonlinear second order equations arising from Newton's laws. The first order linear theory starts with a self-contained presentation of the exponential and trigonometric functions, which plays a central role in the subsequent development of this chapter. Chapter 2 provides a mini-course on linear algebra, giving detailed treatments of linear transformations, determinants and invertibility, eigenvalues and eigenvectors, and generalized eigenvectors. This treatment is more detailed than that in most differential equations texts, and provides a solid foundation for the next two chapters. Chapter 3 studies linear systems of differential equations. It starts with the matrix exponential, melding material from Chapters 1 and 2, and uses this exponential as a key tool in the linear theory. Chapter 4 deals with nonlinear systems of differential equations. This uses all the material developed in the first three chapters and moves it to a deeper level. The chapter includes theoretical studies, such as the fundamental existence and uniqueness theorem, but also has numerous examples, arising from Newtonian physics, mathematical biology, electrical circuits, and geometrical problems. These studies bring in variational methods, a fertile source of nonlinear systems of differential equations. The reader who works through this book will be well prepared for advanced studies in dynamical systems, mathematical physics, and partial differential equations.

An Introduction To Differential Equations

An Introduction To Differential Equations
A Book

by Ghosh & Maity

  • Publisher : New Central Book Agency
  • Release : 2013
  • Pages : 556
  • ISBN : 9788173812378
  • Language : En, Es, Fr & De
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Important topics like Simple Eigen Value Problems, Determination of Particular Integrals by the method of undetermined coefficients and by tghe method of variation of parameters have been included in the book.

An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations
A Book

by James C. Robinson

  • Publisher : Cambridge University Press
  • Release : 2004-01-08
  • Pages : 399
  • ISBN : 9780521533911
  • Language : En, Es, Fr & De
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A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.

Introduction to Partial Differential Equations

Introduction to Partial Differential Equations
A Book

by Peter J. Olver

  • Publisher : Springer Science & Business Media
  • Release : 2013-11-08
  • Pages : 636
  • ISBN : 3319020994
  • Language : En, Es, Fr & De
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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 Modern Introduction to Differential Equations

A Modern Introduction to Differential Equations
A Book

by Henry J. Ricardo

  • Publisher : Academic Press
  • Release : 2020-01-17
  • Pages : 556
  • ISBN : 0128182180
  • Language : En, Es, Fr & De
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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

INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION

INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION
A Book

by V. DHARMAIAH

  • Publisher : PHI Learning Pvt. Ltd.
  • Release : 2012-09-19
  • Pages : 420
  • ISBN : 8120346661
  • Language : En, Es, Fr & De
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This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the Sturm–Liouville problem, Green’s function, the Picard’s theorem, and the Sturm–Picone theorem. The text is supported by a number of worked-out examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations. The book is intended to serve as a text for the postgraduate students of mathematics and applied mathematics. It will also be useful to the candidates preparing to sit for the competitive examinations such as NET and GATE.

Exam Prep for: Introductory Differential Equations

Exam Prep for: Introductory Differential Equations
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations
A Book

by Earl A. Coddington

  • Publisher : Courier Corporation
  • Release : 2012-04-20
  • Pages : 320
  • ISBN : 0486131831
  • Language : En, Es, Fr & De
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A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations
A Book

by Ravi P. Agarwal,Donal O'Regan

  • Publisher : Springer Science & Business Media
  • Release : 2008-12-10
  • Pages : 322
  • ISBN : 9780387712765
  • Language : En, Es, Fr & De
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Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of differential equations has resulted in a continued interest in their study by students in many disciplines. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures that effectively convey the subject in easily manageable sections. The presentation is driven by detailed examples that illustrate how the subject works. Numerous exercise sets, with an "answers and hints" section, are included. The book further provides a background and history of the subject.

An Introduction to the Theory of Differential Equations

An Introduction to the Theory of Differential Equations
A Book

by Walter Leighton

  • Publisher : Unknown Publisher
  • Release : 1952
  • Pages : 174
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Introduction to Differential Equations

Introduction to Differential Equations
A Book

by RABINDRA KUMAR PATNAIK

  • Publisher : PHI Learning Pvt. Ltd.
  • Release : 2009-04-03
  • Pages : 292
  • ISBN : 8120336038
  • Language : En, Es, Fr & De
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This book provides students with solid knowledge of the basic principles of differential equations and a clear understanding of the various ways of obtaining their solutions by applying suitable methods. It is primarily intended to serve as a textbook for undergraduate students of mathematics. It will also be useful for undergraduate engineering students of all disciplines as part of their course in engineering mathematics. No book on differential equations is complete without a treatment of special functions and special equations. A chapter in this book has been devoted to the detailed study of special functions such as the gamma function, beta function, hypergeometric function, and Bessel function, as well as special equations such as the Legendre equation, Chebyshev equation, Hermite equation, and Laguerre equation. The general properties of various orthogonal polynomials such as Legendre, Chebyshev, Hermite, and Laguerre have also been covered. A large number of solved examples as well as exercises at the end of many chapter sections help to comprehend as well as to strengthen the grasp of the underlying concepts and principles of the subject. The answers to all the exercises are provided at the end of the book.

Introduction to Differential Equations

Introduction to Differential Equations
A Book

by Raymond M. Redheffer,Dan Port

  • Publisher : Jones & Bartlett Learning
  • Release : 1992
  • Pages : 468
  • ISBN : 9780867202892
  • Language : En, Es, Fr & De
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Mathematics

Introduction to Differential Equations

Introduction to Differential Equations
ODE, PDE, and Series

by Richard E. Williamson

  • Publisher : Prentice Hall
  • Release : 1986
  • Pages : 443
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Student Solutions Manual, A Modern Introduction to Differential Equations

Student Solutions Manual, A Modern Introduction to Differential Equations
A Book

by Henry J. Ricardo

  • Publisher : Academic Press
  • Release : 2009-03-03
  • Pages : 154
  • ISBN : 0123750296
  • Language : En, Es, Fr & De
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Student Solutions Manual, A Modern Introduction to Differential Equations

Ordinary Differential Equations

Ordinary Differential Equations
Introduction to the Theory of Ordinary Differential Equations in the Real Domain

by J. Kurzweil

  • Publisher : Elsevier
  • Release : 2014-06-28
  • Pages : 440
  • ISBN : 1483297659
  • Language : En, Es, Fr & De
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The author, Professor Kurzweil, is one of the world's top experts in the area of ordinary differential equations - a fact fully reflected in this book. Unlike many classical texts which concentrate primarily on methods of integration of differential equations, this book pursues a modern approach: the topic is discussed in full generality which, at the same time, permits us to gain a deep insight into the theory and to develop a fruitful intuition. The basic framework of the theory is expanded by considering further important topics like stability, dependence of a solution on a parameter, Carathéodory's theory and differential relations. The book is very well written, and the prerequisites needed are minimal - some basics of analysis and linear algebra. As such, it is accessible to a wide circle of readers, in particular to non-mathematicians.

Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations
A Book

by John W. Dettman

  • Publisher : Courier Corporation
  • Release : 2012-10-05
  • Pages : 432
  • ISBN : 0486158314
  • Language : En, Es, Fr & De
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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Introduction to Differential Equations

Introduction to Differential Equations
A Book

by Robert Creighton Buck,Ellen F. Buck

  • Publisher : Unknown Publisher
  • Release : 1976
  • Pages : 418
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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