Boyce's Elementary Differential Equations and Boundary Value Problems is written from the viewpoint of the applied mathematician, with diverse interest in differential equations, ranging from quite theoretical to intensely practical–and usually a combination of both. The intended audience for the text is undergraduate STEM students taking an introductory course in differential equations. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent, while a basic familiarity with matrices is helpful.
This new edition of the book aims to preserve, and to enhance the qualities that have made previous editions so successful. It offers a sound and accurate exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications.
頁數:736
版次:第12版
年份:2022年
規格:平裝/彩色
ISBN:9781119820512
Chapter 1 Introduction
Chapter 2 First Order Differential Equations
Chapter 3 Second-Order Linear Differential Equations
Chapter 4 Higher-Order Linear Differential Equations
Chapter 5 Series Solutions of First-Order and Second-Order Linear Equations
Chapter 6 Systems of First-Order Linear Equations
Chapter 7 The Laplace Transform
Chapter 8 Numerical Methods of Solving First Order Equations
Chapter 9 Nonlinear Differential Equations and Stability
Chapter 10 Partial Differential Equations and Fourier Series
Chapter 11 Boundary Value Problems and Sturm-Liouville Theory