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Differential Equations

Introduction to Differential Calculus by Ulrich L. Rohde; G. C. Jain; Ajay K. Poddar; A. K. Ghosh; G.C. Jain Enables readers to apply the fundamentals of differential calculus to solve reallife problems in engineering and the physical sciences Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to realworld problems in engineering and the physical sciences. With its easytofollow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications. The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learn how to understand a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and finetuning of various calculus skills. Introduction to Differential Calculus is an excellent book for upperundergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.ISBN: 9781118130124
Publication Date: 20111129

Linear and Semilinear Partial Differential Equations by Radu Precup This textbook provides a brief and lucid introduction to the theory of linear partial differential equations. It clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable functions. The solution operators associated to nonhomogeneous equations are used to make transition to the theory of nonlinear PDEs. Organized on three parts, this material is suitable for three onesemester courses, a beginning one in the frame of classical analysis, a more advanced course in modern theory and a master course in semilinear equations.ISBN: 9783110269055
Publication Date: 20130101

Ordinary Differential Equations by Michael D. Greenberg Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of firstorder differential equations and progresses to equations of higher order. The book transitions smoothly from firstorder to higherorder equations, allowing readers to develop a complete understanding of the related theory. Featuring diverse and interesting applications from engineering, bioengineering, ecology, and biology, the book anticipates potential difficulties in understanding the various solution steps and provides all the necessary details. Topical coverage includes: FirstOrder Differential Equations HigherOrder Linear Equations Applications of HigherOrder Linear Equations Systems of Linear Differential Equations Laplace Transform Series Solutions Systems of Nonlinear Differential Equations In addition to plentiful exercises and examples throughout, each chapter concludes with a summary that outlines key concepts and techniques. The book's design allows readers to interact with the content, while hints, cautions, and emphasis are uniquely featured in the margins to further help and engage readers. Written in an accessible style that includes all needed details and steps, Ordinary Differential Equations is an excellent book for courses on the topic at the upperundergraduate level. The book also serves as a valuable resource for professionals in the fields of engineering, physics, and mathematics who utilize differential equations in their everyday work. An Instructors Manual is available upon request. Email sfriedman@wiley.com for information. There is also a Solutions Manual available. The ISBN is 9781118398999.ISBN: 9781118243381
Publication Date: 20140530