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Introductory Differential Equations

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Introductory Differential Equations

Introductory Differential Equations Book
Author : Martha L. L. Abell,James P. Braselton
Publisher : Elsevier
Release : 2014-08-19
ISBN : 0124172822
Language : En, Es, Fr & De

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Book Description :

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

Introduction to Differential Equations

Introduction to Differential Equations Book
Author : William E. Boyce,Richard C. DiPrima
Publisher : John Wiley & Sons
Release : 1970
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Introduction to Differential Equations book written by William E. Boyce,Richard C. DiPrima, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications Book
Author : Stanley J. Farlow
Publisher : Courier Corporation
Release : 2012-10-23
ISBN : 0486135136
Language : En, Es, Fr & De

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Book Description :

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.

A Modern Introduction to Differential Equations

A Modern Introduction to Differential Equations Book
Author : Henry J. Ricardo
Publisher : Academic Press
Release : 2020-01-17
ISBN : 0128182180
Language : En, Es, Fr & De

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Book Description :

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

A Friendly Introduction to Differential Equations Book
Author : Mohammed K A Kaabar
Publisher : CreateSpace Independent Publishing Platform
Release : 2015-01-05
ISBN : 1506004539
Language : En, Es, Fr & De

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Book Description :

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.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Morris Tenenbaum,Harry Pollard
Publisher : Courier Corporation
Release : 1963
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.

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.

Notes on Diffy Qs

Notes on Diffy Qs Book
Author : Jiri Lebl
Publisher : Unknown
Release : 2019-11-13
ISBN : 9781706230236
Language : En, Es, Fr & De

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Book Description :

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.

An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations Book
Author : Ravi P. Agarwal,Donal O'Regan
Publisher : Springer Science & Business Media
Release : 2008-12-10
ISBN : 0387712763
Language : En, Es, Fr & De

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Book Description :

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.

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.

Introduction to Differential Equations Second Edition

Introduction to Differential Equations  Second Edition Book
Author : Michael E. Taylor
Publisher : American Mathematical Soc.
Release : 2021-10-21
ISBN : 1470467623
Language : En, Es, Fr & De

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Book Description :

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

An Introduction to Differential Equations

An Introduction to Differential Equations Book
Author : Anil G. Ladde,G. S. Ladde
Publisher : World Scientific Publishing Company Incorporated
Release : 2013
ISBN : 9789814390064
Language : En, Es, Fr & De

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Book Description :

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.

Introduction to Partial Differential Equations

Introduction to Partial Differential Equations Book
Author : Aslak Tveito,Ragnar Winther
Publisher : Springer Science & Business Media
Release : 2008-01-21
ISBN : 0387227733
Language : En, Es, Fr & De

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Book Description :

Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some "projects" suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Jane Cronin
Publisher : CRC Press
Release : 2007-12-14
ISBN : 1420014935
Language : En, Es, Fr & De

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Book Description :

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of

An Introduction to Delay Differential Equations with Applications to the Life Sciences

An Introduction to Delay Differential Equations with Applications to the Life Sciences Book
Author : hal smith
Publisher : Springer Science & Business Media
Release : 2010-09-29
ISBN : 1441976469
Language : En, Es, Fr & De

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Book Description :

This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.

Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations Book
Author : John W. Dettman
Publisher : Courier Corporation
Release : 2012-10-05
ISBN : 0486158314
Language : En, Es, Fr & De

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Book Description :

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.

Nonlinear Ordinary Differential Equations

Nonlinear Ordinary Differential Equations Book
Author : Dominic Jordan,Peter Smith
Publisher : Oxford University Press on Demand
Release : 2007-08-23
ISBN : 0199208247
Language : En, Es, Fr & De

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Book Description :

Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions.

Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications Book
Author : E. C. Zachmanoglou,Dale W. Thoe
Publisher : Courier Corporation
Release : 2012-04-20
ISBN : 048613217X
Language : En, Es, Fr & De

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Book Description :

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

An Introduction to Partial Differential Equations

An Introduction to Partial Differential Equations Book
Author : Michael Renardy,Robert C. Rogers
Publisher : Springer Science & Business Media
Release : 2006-04-18
ISBN : 0387216871
Language : En, Es, Fr & De

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Book Description :

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.

Introduction To Partial Differential Equations With Maple An A Concise Course

Introduction To Partial Differential Equations  With Maple   An  A Concise Course Book
Author : Zhilin Li,Larry Norris
Publisher : World Scientific
Release : 2021-09-23
ISBN : 9811228647
Language : En, Es, Fr & De

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Book Description :

The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.