A First Course in Differential Equations with Modeling Applications International Metric Edition 10th Edition
A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10E, INTERNATIONAL METRIC EDITION strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. Beginning engineering and math students like you benefit from this accessible text's wealth of pedagogical aids, including an abundance of examples, explanations, “Remarks” boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides you with a thorough treatment of boundary-value problems and partial differential equations.
About the Author
Dennis G. Zill is professor of mathematics at Loyola Marymount University. His interests are in applied mathematics, special functions, and integral transforms. Dr. Zill received his Ph.D. in applied mathematics and his M.S. from Iowa State University in 1967 and 1964, respectively. He received his B.A. from St. Mary's in Winona, Minnesota, in 1962. Dr. Zill also is former chair of the Mathematics Department at Loyola Marymount University. He is the author or co-author of 13 mathematics texts.
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“Matrix Algebra and Applied Linear Algebra” is an honest maths text that circumvents the traditional definition-theoreom-proof format that has bored students in the past. Meyer uses a fresh approach to introduce a variety of problems and examples, ranging from the elementary and challenging to simple applications to discovery problems. Modern concepts and notation are used to introduce the various aspects of linear equations, leading readers easily to numerical computations and applications. The theoretical developments are always accompanied with examples, which are worked out in detail. Each section ends with a large number of carefully chosen exercises from which the students can gain further insight. The textbook contains more than 240 examples, 650 exercises, historical notes and comments on numerical performance and some of the possible pitfalls of algorithms. It comes with a solutions manual that includes complete solutions to all of the exercises. As an added bonus, a fully searchable CD-ROM is included that contains the entire textbook, all solutions, more detailed information on topics mentioned in examples, references for additional study, thumbnail sketches and photographs of mathematicians, and a history of linear algebra and computing. It can be used on all platforms.
Line Integral Methods for Conservative Problems explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the continuous vector field. The book focuses on a large set of differential systems named conservative problems, particularly Hamiltonian systems. Assuming only basic knowledge of numerical quadrature and Runge-Kutta methods, this self-contained book begins with an introduction to the line integral methods. It describes numerous Hamiltonian problems encountered in a variety of applications and presents theoretical results concerning the main instance of line integral methods: the energy-conserving Runge-Kutta methods, also known as Hamiltonian boundary value methods (HBVMs). The authors go on to address the implementation of HBVMs in order to recover in the numerical solution what was expected from the theory. The book also covers the application of HBVMs to handle the numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions of the energy-conserving methods. With many examples of applications, this book provides an accessible guide to the subject yet gives you enough details to allow concrete use of the methods. MATLAB codes for implementing the methods are available online.
About the Author
Luigi Brugnano is a full professor of numerical analysis and chairman of the mathematics courses in the Department of Mathematics and Informatics at the University of Firenze. He is a member of several journal editorial boards. His research interests include matrix conditioning/preconditioning, parallel computing, computational fluid dynamics, numerical methods, iterative methods, geometric integration, and mathematical modeling and software. Felice Iavernaro is an associate professor of numerical analysis in the Department of Mathematics at the University of Bari. His primary interests include the design and implementation of efficient methods for the numerical solution of differential equations, particularly for the simulation of dynamical systems with geometric properties.
Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there’s Schaum’s. This all-in-one-package includes 612 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems – it’s just like having your own virtual tutor! You’ll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum’s to help them succeed in the classroom and on exams. Schaum’s is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum’s Outline gives you 612 fully solved problems. It offers concise explanations of all course concepts. It provides support for all major textbooks for linear algebra courses. Fully compatible with your classroom text, Schaum’s highlights all the important facts you need to know. Use Schaum’s to shorten your study time – and get your best test scores!
About the Author
Seymour Lipschutz is on the faculty of Temple University and formally taught at the Polytechnic Institute of Brooklyn. He is one of Schaum’s major authors. Marc Lipson is on the faculty of University of Georgia. He is also the coauthor of Schaum’s Outline of Discrete Mathematics and Schaum’s Outline of Probability with Seymour Lipschutz.
Elementary Differential Equations with Boundary Value Problems 6th Pearson New International Edition
For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus. The Sixth Edition of this widely adopted book remains the same classic differential equations text it’s always been, but has been polished and sharpened to serve both instructors and students even more effectively.Edwards and Penney teach students to first solve those differential equations that have the most frequent and interesting applications. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques.