Download Book A First Course In Differential Equations in PDF format. You can Read Online A First Course In Differential Equations here in PDF, EPUB, Mobi or Docx formats.
ISBN :9781285401102
Genre :Mathematics
File Size : 44.92 MB
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A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, this book provides a thorough treatment of 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.
ISBN :0849309883
Genre :Mathematics
File Size : 24.13 MB
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Though ordinary differential equations is taught as a core course to students in mathematics and applied mathematics, detailed coverage of the topics with sufficient examples is unique. Written by a mathematics professor and intended as a textbook for third- and fourth-year undergraduates, the five chapters of this publication give a precise account of higher order differential equations, power series solutions, special functions, existence and uniqueness of solutions, and systems of linear equations. Relevant motivation for different concepts in each chapter and discussion of theory and problems-without the omission of steps-sets Ordinary Differential Equations: A First Course apart from other texts on ODEs. Full of distinguishing examples and containing exercises at the end of each chapter, this lucid course book will promote self-study among students.
ISBN :9781439850879
Genre :Mathematics
File Size : 31.7 MB
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Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for obtaining the analytical solution of differential equations and Laplace transforms. In addition, the authors discuss how these equations describe mathematical systems and how to use software to solve sets of equations where analytical solutions cannot be obtained. Using simple physics, the book introduces dynamic modeling, the definition of differential equations, two simple methods for obtaining their analytical solution, and a method to follow when modeling. It then presents classical methods for solving differential equations, discusses the engineering importance of the roots of a characteristic equation, and describes the response of first- and second-order differential equations. A study of the Laplace transform method follows with explanations of the transfer function and the power of Laplace transform for obtaining the analytical solution of coupled differential equations. The next several chapters present the modeling of translational and rotational mechanical systems, fluid systems, thermal systems, and electrical systems. The final chapter explores many simulation examples using a typical software package for the solution of the models developed in previous chapters. Providing the necessary tools to apply differential equations in engineering and science, this text helps readers understand differential equations, their meaning, and their analytical and computer solutions. It illustrates how and where differential equations develop, how they describe engineering systems, how to obtain the analytical solution, and how to use software to simulate the systems.
ISBN :9780495108245
Genre :Mathematics
File Size : 88.95 MB
Format :PDF, Kindle
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A First Course in Differential Equations with Modeling Applications, 9th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of 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.
ISBN :9780387259635
Genre :Mathematics
File Size : 69.25 MB
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This text is designed for the standard post-calculus course in elementary differential equations. It is a brief one-semester treatment of the basic ideas, models, and solution methods. It emphasizes graphical, analytical, and numerical approaches and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is provided, and an appendix contains templates of Maple and MATLAB commands and programs that are useful in differential equations.
ISBN :STANFORD:36105032765989
Genre :Mathematics
File Size : 62.97 MB
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ISBN :9789813226456
Genre :Mathematics
File Size : 86.67 MB
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Resources for instructors who adopt this textbook:Lecture SlidesInstructors' Manual (complete solutions and supporting work)Students' Manual (final answers to computational exercises) Kindly send your requests to [email protected] This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm–Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects. The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs. The lecture slides, instructors' manual and students' manual is available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]
ISBN :0521556554
Genre :Mathematics
File Size : 23.7 MB
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Covers numerical analysis for mathematics students without neglecting practical aspects.
ISBN :140393018X
Genre :Differential equations
File Size : 23.75 MB
Format :PDF
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Read :634
A First Course in Differential Equations with Applications is an introductory text on differential and partial differential equations providing a basic understanding of an impor- tant branch of Applied Mathematics. Placing emphasis on applications, this b
ISBN :9780486132044
Genre :Mathematics
File Size : 79.83 MB
Format :PDF, ePub, Docs
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Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.
A First Course In Differential Equations With Modeling Applications
Author :Dennis G. ZillISBN :9781285401102
Genre :Mathematics
File Size : 44.92 MB
Format :PDF, Docs
Download :376
Read :155
A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, this book provides a thorough treatment of 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.
Ordinary Differential Equations
Author :D. SomasundaramISBN :0849309883
Genre :Mathematics
File Size : 24.13 MB
Format :PDF, Kindle
Download :323
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Though ordinary differential equations is taught as a core course to students in mathematics and applied mathematics, detailed coverage of the topics with sufficient examples is unique. Written by a mathematics professor and intended as a textbook for third- and fourth-year undergraduates, the five chapters of this publication give a precise account of higher order differential equations, power series solutions, special functions, existence and uniqueness of solutions, and systems of linear equations. Relevant motivation for different concepts in each chapter and discussion of theory and problems-without the omission of steps-sets Ordinary Differential Equations: A First Course apart from other texts on ODEs. Full of distinguishing examples and containing exercises at the end of each chapter, this lucid course book will promote self-study among students.
A First Course In Differential Equations Modeling And Simulation
Author :Carlos A. SmithISBN :9781439850879
Genre :Mathematics
File Size : 31.7 MB
Format :PDF, ePub, Mobi
Download :403
Read :268
Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for obtaining the analytical solution of differential equations and Laplace transforms. In addition, the authors discuss how these equations describe mathematical systems and how to use software to solve sets of equations where analytical solutions cannot be obtained. Using simple physics, the book introduces dynamic modeling, the definition of differential equations, two simple methods for obtaining their analytical solution, and a method to follow when modeling. It then presents classical methods for solving differential equations, discusses the engineering importance of the roots of a characteristic equation, and describes the response of first- and second-order differential equations. A study of the Laplace transform method follows with explanations of the transfer function and the power of Laplace transform for obtaining the analytical solution of coupled differential equations. The next several chapters present the modeling of translational and rotational mechanical systems, fluid systems, thermal systems, and electrical systems. The final chapter explores many simulation examples using a typical software package for the solution of the models developed in previous chapters. Providing the necessary tools to apply differential equations in engineering and science, this text helps readers understand differential equations, their meaning, and their analytical and computer solutions. It illustrates how and where differential equations develop, how they describe engineering systems, how to obtain the analytical solution, and how to use software to simulate the systems.
A First Course In Differential Equations
Author :Dennis ZillISBN :9780495108245
Genre :Mathematics
File Size : 88.95 MB
Format :PDF, Kindle
Download :942
Read :1124
A First Course in Differential Equations with Modeling Applications, 9th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of 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.
A First Course In Differential Equations
Author :J. David LoganISBN :9780387259635
Genre :Mathematics
File Size : 69.25 MB
Format :PDF
Download :635
Read :293
This text is designed for the standard post-calculus course in elementary differential equations. It is a brief one-semester treatment of the basic ideas, models, and solution methods. It emphasizes graphical, analytical, and numerical approaches and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is provided, and an appendix contains templates of Maple and MATLAB commands and programs that are useful in differential equations.
A First Course In Differential Equations With Applications
Author :Dennis G. ZillISBN :STANFORD:36105032765989
Genre :Mathematics
File Size : 62.97 MB
Format :PDF, ePub
Download :164
Read :331
A First Course In Partial Differential Equations
Author :J Robert BuchananISBN :9789813226456
Genre :Mathematics
File Size : 86.67 MB
Format :
PDF, ePub
Download :564
Read :1085
Resources for instructors who adopt this textbook:Lecture SlidesInstructors' Manual (complete solutions and supporting work)Students' Manual (final answers to computational exercises) Kindly send your requests to [email protected] This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm–Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects. The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs. The lecture slides, instructors' manual and students' manual is available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]
A First Course In The Numerical Analysis Of Differential Equations
Author :Arieh IserlesISBN :0521556554
Genre :Mathematics
File Size : 23.7 MB
Format :PDF, Mobi
Download :635
Read :397
Covers numerical analysis for mathematics students without neglecting practical aspects.
A First Course In Differential Equations With Applications
Author :A. H. SiddiqiISBN :140393018X
Genre :Differential equations
File Size : 23.75 MB
Format :PDF
Download :365
Read :634
A First Course in Differential Equations with Applications is an introductory text on differential and partial differential equations providing a basic understanding of an impor- tant branch of Applied Mathematics. Placing emphasis on applications, this b
A First Course In Partial Differential Equations
Author :H. F. WeinbergerISBN :9780486132044
Genre :Mathematics
File Size : 79.83 MB
Format :PDF, ePub, Docs
Download :790
Read :1100
Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.
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Provides an account of ordinary differential equations laying emphasis on illustration of theory.
Published January 1st 2001 by Alpha Science International, Ltd
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