Information Processing


Book Description




Proceedings


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Differential Equations and Boundary Value Problems


Book Description

For introductory courses in Differential Equations. This text provides the conceptual development and geometric visualization of a modern differential equations course while maintaining the solid foundation of algebraic techniques that are still essential to science and engineering students. It reflects the new excitement in differential equations as the availability of technical computing environments likeMaple, Mathematica, and MATLAB reshape the role and applications of the discipline. New technology has motivated a shift in emphasis from traditional, manual methods to both qualitative and computer-based methods that render accessible a wider range of realistic applications. With this in mind, the text augments core skills with conceptual perspectives that students will need for the effective use of differential equations in their subsequent work and study.













Scientific Computing with MATLAB and Octave


Book Description

Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game thatcomputersadoptwhenstoringandoperatingwith realandcomplex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raisedthrough exercises and examples, often stemming from s- ci?c applications.




Engineering Mechanics


Book Description

Offers a concise and thorough presentation of engineering mechanics theory and application. The material is reinforced with numerous examples to illustrate principles and imaginative, well-illustrated problems of varying degrees of difficulty. The book is committed to developing users' problem-solving skills. Features new "Photorealistc" figures (approximately 200) that have been rendered in often 3D photo quality detail to appeal to visual learners. Features a large variety of problem types from a broad range of engineering disciplines, stressing practical, realistic situations encountered in professional practice, varying levels of difficulty, and problems that involve solution by computer.A thorough presentation of engineering mechanics theory and applications includes some of these topics: Kinematics of a Particle; Kinetics of a Particle: Force and Acceleration; Kinetics of a Particle: Work and Energy; Kinetics of a Particle: Impulse and Momentum; Planar Kinematics of a Rigid Body; Planar Kinetics of a Rigid Body: Force and Acceleration; Planar Kinetics of a Rigid Body: Work and Energy; Planar Kinetics of a Rigid Body: Impulse and Momentum; Three-Dimensional Kinematics of a Rigid Body; Three-Dimensional Kinetics of a Rigid Body; and Vibrations.For professionals in mechanical engineering, civil engineering, aeronautical engineering, and engineering mechanics careers.