معرفی کتاب «معادلات دیفرانسیل مقدماتی با مسائل ارزش مرزی» (با عنوان لاتین Introductory differential equations with boundary value problems) نوشتهٔ Martha L Abell; James P Braselton; Elsevier، منتشرشده توسط نشر Academic Press در سال 2014. این کتاب در فرمت pdf، زبان انگلیسی ارائه شده است.
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. * 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, 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
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.
Content: Front Matter, Pages i-ii Copyright, Page iv Preface, Pages vii-xii Chapter 1 - Introduction to Differential Equations, Pages 1-25 Chapter 2 - First-Order Equations, Pages 27-87 Chapter 3 - Applications of First-Order Differential Equations, Pages 89-130 Chapter 4 - Higher Order Equations, Pages 131-225 Chapter 5 - Applications of Higher Order Differential Equations, Pages 227-275 Chapter 6 - Systems of Differential Equations, Pages 277-364 Chapter 7 - Applications of Systems of Ordinary Differential Equations, Pages 365-397 Chapter 8 - Introduction to the Laplace Transform, Pages 399-460 Answers to Selected Exercises, Pages 461-506 Bibliography, Page 507 Appendices, Pages 509-512 Index, Pages 513-517