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Author : Robert M. Stark,Robert L. Nicholls
Publisher : McGraw-Hill Science, Engineering & Mathematics
Page : 584 pages
File Size : 40,5 Mb
Release : 1971
Category : Technology & Engineering
ISBN : WISC:89038763546
Author : R. M. Stark
Publisher : Unknown
Page : 128 pages
File Size : 43,9 Mb
Release : 1978
Category : Electronic
ISBN : OCLC:786136839
Author : Robert Nicholls
Publisher : Unknown
Page : 566 pages
File Size : 50,5 Mb
Release : 2000
Category : Electronic
ISBN : OCLC:959792087
Author : Robert M. Stark,Robert L. Nicholls
Publisher : Courier Corporation
Page : 609 pages
File Size : 50,8 Mb
Release : 2005-01-05
Category : Mathematics
ISBN : 9780486438986
Text develops typical mathematical techniques of operations research and systems engineering and applies them to design and operation of civil engineering systems. Solutions to selected problems; solution guide available upon request. 1972 edition.
Author : D. Braha,O. Maimon
Publisher : Springer Science & Business Media
Page : 684 pages
File Size : 49,8 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9781475728729
Formal Design Theory (PDT) is a mathematical theory of design. The main goal of PDT is to develop a domain independent core model of the design process. The book focuses the reader's attention on the process by which ideas originate and are developed into workable products. In developing PDT, we have been striving toward what has been expressed by the distinguished scholar Simon (1969): that "the science of design is possible and some day we will be able to talk in terms of well-established theories and practices. " The book is divided into five interrelated parts. The conceptual approach is presented first (Part I); followed by the theoretical foundations of PDT (Part II), and from which the algorithmic and pragmatic implications are deduced (Part III). Finally, detailed case-studies illustrate the theory and the methods of the design process (Part IV), and additional practical considerations are evaluated (Part V). The generic nature of the concepts, theory and methods are validated by examples from a variety of disciplines. FDT explores issues such as: algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality. FDT's axioms convey the assumptions of the theory about the nature of artifacts, and potential modifications of the artifacts in achieving desired goals or functionality. By being able to state these axioms explicitly, it is possible to derive theorems and corollaries, as well as to develop specific analytical and constructive methodologies.
Author : Jay Kappraff
Publisher : Unknown
Page : 128 pages
File Size : 51,8 Mb
Release : 2021
Category : Design
ISBN : 9811219710
"This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs"--
Author : Joy Ko,Kyle Steinfeld
Publisher : Routledge
Page : 448 pages
File Size : 47,5 Mb
Release : 2018-02-15
Category : Architecture
ISBN : 9781317659082
Geometric Computation: Foundations for Design describes the mathematical and computational concepts that are central to the practical application of design computation in a manner tailored to the visual designer. Uniquely pairing key topics in code and geometry, this book develops the two key faculties required by designers that seek to integrate computation into their creative practice: an understanding of the structure of code in object-oriented programming, and a proficiency in the fundamental geometric constructs that underlie much of the computational media in visual design.
Author : Erchin Serpedin,Thomas Chen,Dinesh Rajan
Publisher : CRC Press
Page : 852 pages
File Size : 54,9 Mb
Release : 2017-12-04
Category : Computers
ISBN : 9781439855140
Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.
Author : Gerard O'Regan
Publisher : Springer Nature
Page : 538 pages
File Size : 52,8 Mb
Release : 2023-05-04
Category : Computers
ISBN : 9783031262128
This textbook presents an introduction to the mathematical foundations of software engineering. It presents the rich applications of mathematics in areas such as error-correcting codes, cryptography, the safety and security critical fields, the banking and insurance fields, as well as traditional engineering applications. Topics and features: Addresses core mathematics for critical thinking and problem solving Discusses propositional and predicate logic and various proof techniques to demonstrate the correctness of a logical argument. Examines number theory and its applications to cryptography Considers the underlying mathematics of error-correcting codes Discusses graph theory and its applications to modelling networks Reviews tools to support software engineering mathematics, including automated and interactive theorem provers and model checking Discusses financial software engineering, including simple and compound interest, probability and statistics, and operations research Discusses software reliability and dependability and explains formal methods used to derive a program from its specification Discusses calculus, matrices, vectors, complex numbers, and quaternions, as well as applications to graphics and robotics Includes key learning topics, summaries, and review questions in each chapter, together with a useful glossary This practical and easy-to-follow textbook/reference is ideal for computer science students seeking to learn how mathematics can assist them in building high-quality and reliable software on time and on budget. The text also serves as an excellent self-study primer for software engineers, quality professionals, and software managers.
Author : Jozef Gruska,Branislav Rovan,Juraj Wiedermann
Publisher : Springer Science & Business Media
Page : 810 pages
File Size : 40,7 Mb
Release : 1986-08-01
Category : Computers
ISBN : 3540167838
Author : Bernhard Steffen,Oliver Rüthing,Michael Huth
Publisher : Springer
Page : 228 pages
File Size : 50,7 Mb
Release : 2018-03-20
Category : Computers
ISBN : 9783319683973
The books in this trilogy capture the foundational core of advanced informatics. The authors make the foundations accessible, enabling students to become effective problem solvers. This first volume establishes the inductive approach as a fundamental principle for system and domain analysis. After a brief introduction to the elementary mathematical structures, such as sets, propositional logic, relations, and functions, the authors focus on the separation between syntax (representation) and semantics (meaning), and on the advantages of the consistent and persistent use of inductive definitions. They identify compositionality as a feature that not only acts as a foundation for algebraic proofs but also as a key for more general scalability of modeling and analysis. A core principle throughout is invariance, which the authors consider a key for the mastery of change, whether in the form of extensions, transformations, or abstractions. This textbook is suitable for undergraduate and graduate courses in computer science and for self-study. Most chapters contain exercises and the content has been class-tested over many years in various universities.
Author : Srinivasan Keshav
Publisher : Addison-Wesley
Page : 496 pages
File Size : 52,6 Mb
Release : 2012-04-20
Category : Computers
ISBN : 9780132826136
“To design future networks that are worthy of society’s trust, we must put the ‘discipline’ of computer networking on a much stronger foundation. This book rises above the considerable minutiae of today’s networking technologies to emphasize the long-standing mathematical underpinnings of the field.” –Professor Jennifer Rexford, Department of Computer Science, Princeton University “This book is exactly the one I have been waiting for the last couple of years. Recently, I decided most students were already very familiar with the way the net works but were not being taught the fundamentals–the math. This book contains the knowledge for people who will create and understand future communications systems." –Professor Jon Crowcroft, The Computer Laboratory, University of Cambridge The Essential Mathematical Principles Required to Design, Implement, or Evaluate Advanced Computer Networks Students, researchers, and professionals in computer networking require a firm conceptual understanding of its foundations. Mathematical Foundations of Computer Networking provides an intuitive yet rigorous introduction to these essential mathematical principles and techniques. Assuming a basic grasp of calculus, this book offers sufficient detail to serve as the only reference many readers will need. Each concept is described in four ways: intuitively; using appropriate mathematical notation; with a numerical example carefully chosen for its relevance to networking; and with a numerical exercise for the reader. The first part of the text presents basic concepts, and the second part introduces four theories in a progression that has been designed to gradually deepen readers’ understanding. Within each part, chapters are as self-contained as possible. The first part covers probability; statistics; linear algebra; optimization; and signals, systems, and transforms. Topics range from Bayesian networks to hypothesis testing, and eigenvalue computation to Fourier transforms. These preliminary chapters establish a basis for the four theories covered in the second part of the book: queueing theory, game theory, control theory, and information theory. The second part also demonstrates how mathematical concepts can be applied to issues such as contention for limited resources, and the optimization of network responsiveness, stability, and throughput.
Author : Donald P. Coduto
Publisher : Pearson Higher Ed
Page : 889 pages
File Size : 53,8 Mb
Release : 2013-10-03
Category : Technology & Engineering
ISBN : 9781292052434
For undergraduate/graduate-level foundation engineering courses. Covers the subject matter thoroughly and systematically, while being easy to read. Emphasizes a thorough understanding of concepts and terms before proceeding with analysis and design, and carefully integrates the principles of foundation engineering with their application to practical design problems.
Author : Ionela Prodan,Florin Stoican,Sorin Olaru,Silviu-Iulian Niculescu
Publisher : Springer
Page : 107 pages
File Size : 47,5 Mb
Release : 2015-11-25
Category : Technology & Engineering
ISBN : 9783319269955
In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appropriate optimization problems over a feasible region, which is neither convex nor compact. The proposed approach uses the combinatorial notion of hyperplane arrangement, partitioning the space by a finite collection of hyperplanes, to describe non-convex regions efficiently. Mixed-integer programming techniques are then applied to propose acceptable formulations of the overall problem. Multiple constructions may arise from the same initial problem, and their complexity under various parameters - space dimension, number of binary variables, etc. - is also discussed. This book is a useful tool for academic researchers and graduate students interested in non-convex systems working in control engineering area, mobile robotics and/or optimal planning and decision-making.
Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
Page : 130 pages
File Size : 52,6 Mb
Release : 1957-01-01
Category : Mathematics
ISBN : 9780486604343
First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.