Author : Stephen Boyd
Publisher : Cambridge University Press
Page : 477 pages
File Size : 24,82 MB
Release : 2018-06-07
Category : Business & Economics
ISBN : 1316518965
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author : Sigurd Angenent
Publisher :
Page : 134 pages
File Size : 41,24 MB
Release : 2014-11-26
Category :
ISBN : 9781505204841
MATH 221 FIRST Semester CalculusBy Sigurd Angenent
Author : Hans Petter Langtangen
Publisher : Springer
Page : 522 pages
File Size : 14,63 MB
Release : 2017-06-21
Category : Computers
ISBN : 3319554565
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
Author : Cédric Villani
Publisher : Springer Science & Business Media
Page : 970 pages
File Size : 42,15 MB
Release : 2008-10-26
Category : Mathematics
ISBN : 3540710507
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.
Author : Cédric Villani
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 36,35 MB
Release : 2021-08-25
Category : Education
ISBN : 1470467267
This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.
Author : Yung-Kuo Lim
Publisher : World Scientific
Page : 766 pages
File Size : 16,78 MB
Release : 1998
Category : Science
ISBN : 9789810231330
The material for these volumes has been selected from 20 years of examination questions for graduate students at the University of California at Berkeley, Columbia University, University of Chicago, MIT, SUNY at Buffalo, Princeton University and the University of ...
Author : Jan Awrejcewicz
Publisher : Springer
Page : 621 pages
File Size : 13,7 MB
Release : 2014-09-17
Category : Mathematics
ISBN : 3319076590
This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.
Author : K. J. Falconer
Publisher : Cambridge University Press
Page : 184 pages
File Size : 26,30 MB
Release : 1985
Category : Mathematics
ISBN : 9780521337052
A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.
Author : Walter Gander
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 50,49 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 364297533X
Modern computing tools like Maple (symbolic computation) and Matlab (a numeric computation and visualization program) make it possible to easily solve realistic nontrivial problems in scientific computing. In education, traditionally, complicated problems were avoided, since the amount of work for obtaining the solutions was not feasible for the students. This situation has changed now, and the students can be taught real-life problems that they can actually solve using the new powerful software. The reader will improve his knowledge through learning by examples and he will learn how both systems, MATLAB and MAPLE, may be used to solve problems interactively in an elegant way. Readers will learn to solve similar problems by understanding and applying the techniques presented in the book. All programs used in the book are available to the reader in electronic form.
Author : Mark H. Holmes
Publisher : Springer Nature
Page : 563 pages
File Size : 36,56 MB
Release : 2023-07-11
Category : Computers
ISBN : 3031224302
This textbook provides an introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression-based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra.
