Piecewise Linear Homeomorphisms for Approximation of Invertible Maps PDF Download

Author: Armin Iske
Publisher: Springer
ISBN: 3030052281
Category : Mathematics
Languages : en
Pages : 363

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Book Description
This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization methods * interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation * asymptotic concepts: error estimates and convergence rates * signal approximation by Fourier and wavelet methods * kernel-based multivariate approximation * approximation methods in computerized tomography Providing numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate students.

Author: Richard E. Groff
Publisher:
ISBN:
Category :
Languages : en
Pages : 314

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Author: T.S.L Radhika
Publisher: CRC Press
ISBN: 1466588160
Category : Mathematics
Languages : en
Pages : 200

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Book Description
Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures, including the classical series solut

Author: Frederick H. Soon
Publisher: Springer Science & Business Media
ISBN: 146125146X
Category : Mathematics
Languages : en
Pages : 318

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Book Description
This Student Guide is exceptional, maybe even unique, among such guides in that its author, Fred Soon, was actually a student user of the textbook during one of the years we were writing and debugging the book. (He was one of the best students that year, by the way. ) Because of his background, Fred has taken, in the Guide, the point of view of an experienced student tutor helping you to learn calculus. While we do not always think Fred's jokes are as funny as he does, we appreciate his enthusiasm and his desire to enter into communication with his readers; since we nearly always agree with the mathe matical judgements he has made in explaining the material, we believe that this Guide can serve you as a valuable supplement to our text. To get maximum benefit from this Guide, you should begin by spending a few moments to acquaint yourself with its structure. Once you get started in the course, take advantage of the many opportunities which the text and Student Guide together provide for learning calculus in the only way that any mathe matical subject can truly be mastered - through attempting to solve problems on your own. As you read the text, try doing each example and exercise your self before reading the solution; do the same vith the quiz problems provided by Fred.

Author: Vijay V. Vazirani
Publisher: Springer Science & Business Media
ISBN: 3662045656
Category : Computers
Languages : en
Pages : 380

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Book Description
Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Author: Craig A. Tovey
Publisher: CRC Press
ISBN: 1351643487
Category : Business & Economics
Languages : en
Pages : 622

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Book Description
Linear Optimization and Dualiyy: A Modern Exposition departs from convention in significant ways. Standard linear programming textbooks present the material in the order in which it was discovered. Duality is treated as a difficult add-on after coverage of formulation, the simplex method, and polyhedral theory. Students end up without knowing duality in their bones. This text brings in duality in Chapter 1 and carries duality all the way through the exposition. Chapter 1 gives a general definition of duality that shows the dual aspects of a matrix as a column of rows and a row of columns. The proof of weak duality in Chapter 2 is shown via the Lagrangian, which relies on matrix duality. The first three LP formulation examples in Chapter 3 are classic primal-dual pairs including the diet problem and 2-person zero sum games. For many engineering students, optimization is their first immersion in rigorous mathematics. Conventional texts assume a level of mathematical sophistication they don’t have. This text embeds dozens of reading tips and hundreds of answered questions to guide such students. Features Emphasis on duality throughout Practical tips for modeling and computation Coverage of computational complexity and data structures Exercises and problems based on the learning theory concept of the zone of proximal development Guidance for the mathematically unsophisticated reader About the Author Craig A. Tovey is a professor in the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology. Dr. Tovey received an AB from Harvard College, an MS in computer science and a PhD in operations research from Stanford University. His principal activities are in operations research and its interdisciplinary applications. He received a Presidential Young Investigator Award and the Jacob Wolfowitz Prize for research in heuristics. He was named an Institute Fellow at Georgia Tech, and was recognized by the ACM Special Interest Group on Electronic Commerce with the Test of Time Award. Dr. Tovey received the 2016 Golden Goose Award for his research on bee foraging behavior leading to the development of the Honey Bee Algorithm.

Author: Gene Wesley Marshall
Publisher: iUniverse
ISBN: 1663262810
Category : Religion
Languages : en
Pages : 283

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Book Description
Experience the transformative power of a Reality too vast to grasp. In Part One embark on a voyage through the enigmatic ‘Land of Mystery,’ where we learn to thrive amidst uncertainty, nourishing our curious beings with approximate yet meaningful insights. Delve into Part Two and explore the tapestry of religious practices inviting the Eternity of Profound Reality to be present in our lives. Finally in Part Three, take in the example of Christian faith, especially where ancient scriptures resonate with newfound relevance in the modern era. Through these pages find balance in being more alive within these challenging times.

Author: Filippo Santambrogio
Publisher: Springer Nature
ISBN: 3031450361
Category : Mathematics
Languages : en
Pages : 354

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Book Description
This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mathematical complexities they present. Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical questions such as the existence and uniqueness of solutions, their characterization in terms of partial differential equations, and their regularity. It includes both classical and recent results on one-dimensional variational problems, as well as the adaptation to the multi-dimensional case. Here, convexity plays an important role in establishing semi-continuity results and connections with techniques from optimization, and convex duality is even used to produce regularity results. This is then followed by the more classical Hölder regularity theory for elliptic PDEs and some geometric variational problems on sets, including the isoperimetric inequality and the Steiner tree problem. The book concludes with a chapter on the limits of sequences of variational problems, expressed in terms of Γ-convergence. While primarily designed for master's-level and advanced courses, this textbook, based on its author's instructional experience, also offers original insights that may be of interest to PhD students and researchers. A foundational understanding of measure theory and functional analysis is required, but all the essential concepts are reiterated throughout the book using special memo-boxes.

Author: Lenore D. Zuck
Publisher: Springer Science & Business Media
ISBN: 3540003487
Category : Computers
Languages : en
Pages : 335

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Book Description
This book constitutes the refereed proceedings of the 4th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2003, held in New York, NY, USA in January 2003. The 20 revised full papers presented together with five invited contributions were carefully reviewed and selected from 43 submissions. The papers are organized in topical sections on static analysis, dynamic systems, abstract interpretation, model checking, security protocols, and formal methods.

Author: Orville Dewey
Publisher: BoD – Books on Demand
ISBN: 3752595221
Category : Fiction
Languages : en
Pages : 289

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Book Description
Reprint of the original, first published in 1864.