Procrustes Problems

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Procrustes Problems

Author : John C Gower
Publisher : Oxford University Press, USA
ISBN 13 : 0198510586
Total Pages : 248 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Procrustes Problems by : John C Gower

Download or read book Procrustes Problems written by John C Gower and published by Oxford University Press, USA. This book was released on 2004-01-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Procrustean methods are used to transform one set of data to represent another set of data as closely as possible. The name derives from the Greek myth where Procrustes invited passers-by in for a pleasant meal and a night's rest on a magical bed that would exactly fit any guest. He then either stretched the guest on the rack or cut off their legs to make them fit perfectly into the bed. Theseus turned the tables on Procrustes, fatally adjusting him to fit his own bed. This text, the first monograph on Procrustes methods, unifies several strands in the literature and contains much new material. It focuses on matching two or more configurations by using orthogonal, projection and oblique axes transformations. Group-average summaries play an important part and links with other group-average methods are discussed. This is the latest in the well-established and authoritative Oxford Statistical Science Series, which includes texts and monographs covering many topics of current research interest in pure and applied statistics. Each title has an original slant even if the material included is not specifically original. The authors are leading researchers and the topics covered will be of interest to all professional statisticians, whether they be in industry, government department or research institute. Other books in the series include 23. W.J.Krzanowski: Principles of multivariate analysis: a user's perspective updated edition 24. J.Durbin and S.J.Koopman: Time series analysis by State Space Models 25. Peter J. Diggle, Patrick Heagerty, Kung-Yee Liang, Scott L. Zeger: Analysis of Longitudinal Data 2/e 26. J.K. Lindsey: Nonlinear Models in Medical Statistics 27. Peter J. Green, Nils L. Hjort & Sylvia Richardson: Highly Structured Stochastic Systems 28. Margaret S. Pepe: The Statistical Evaluation of Medical Tests for Classification and Prediction 29. Christopher G. Small and Jinfang Wang: Numerical Methods for Nonlinear Estimating Equations

Solving Algebraic Computational Problems in Geodesy and Geoinformatics

Author : Joseph L. Awange
Publisher : Springer Science & Business Media
ISBN 13 : 9783540234258
Total Pages : 352 pages
Book Rating : 4.2/5 (342 download)

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Book Synopsis Solving Algebraic Computational Problems in Geodesy and Geoinformatics by : Joseph L. Awange

Download or read book Solving Algebraic Computational Problems in Geodesy and Geoinformatics written by Joseph L. Awange and published by Springer Science & Business Media. This book was released on 2005 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charity Mupanga, the resilient and maternal proprietor of Harrods International Bar (and Nightspot) faces her toughest challenge in Dizzy Worms, the final novel in Michael Holman's acclaimed trilogy set in the African slum of Kireba. Faced with a Health and Safety closure, Charity has a week to appeal and the chances of success seem negligible: elections are imminent, and Kireba is due to become a showcase of President Josiah Nduka's 'slum rehabilitation program', backed by gullible foreign donors. But before taking on Nduka and the council, she has a promise to keep – to provide a supply of her famous sweet doughballs to a small army of street children, as voracious as they are malodorous . . . Michael Holman uses his witty satirical pen to brilliant effect in this affectionate portrait of a troubled region, targeting local politicians, western diplomats, foreign donors and journalists, puncturing pretensions and questioning the philosophy of aid.

The Bed of Procrustes

Author : Nassim Nicholas Taleb
Publisher : Random House
ISBN 13 : 0679643680
Total Pages : 209 pages
Book Rating : 4.6/5 (796 download)

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Book Synopsis The Bed of Procrustes by : Nassim Nicholas Taleb

Download or read book The Bed of Procrustes written by Nassim Nicholas Taleb and published by Random House. This book was released on 2010-11-30 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of the modern classics The Black Swan, Fooled by Randomness, and Antifragile, Nassim Nicholas Taleb expresses major ideas in ways you least expect in this collection of aphorisms and meditations—now expanded with fifty percent more material than the hardcover. The Bed of Procrustes takes its title from the Greek myth of a man who made his visitors fit his bed to perfection, either by stretching them or by cutting their limbs. It represents Taleb’s view of modern civilization’s hubristic side effects—modifying humans to satisfy technology, blaming reality for not fitting economic models, inventing diseases to sell drugs, defining intelligence as what can be tested in a classroom, and convincing people that employment is not slavery. Playful and irreverent, these aphorisms will surprise you by exposing self-delusions you have been living with but never recognized. With a rare combination of pointed wit and potent wisdom, Taleb plows through human illusions, contrasting the classical values of courage, elegance, and erudition with the modern diseases of nerdiness, philistinism, and phonies.

V Hotine-Marussi Symposium on Mathematical Geodesy

Author : Fernando Sansò
Publisher : Springer Science & Business Media
ISBN 13 : 366210735X
Total Pages : 356 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis V Hotine-Marussi Symposium on Mathematical Geodesy by : Fernando Sansò

Download or read book V Hotine-Marussi Symposium on Mathematical Geodesy written by Fernando Sansò and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.

Convex Optimization Euclidean Distance Geometry 2e

Author : Dattorro
Publisher : Lulu.com
ISBN 13 : 0578161400
Total Pages : 706 pages
Book Rating : 4.5/5 (781 download)

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Book Synopsis Convex Optimization Euclidean Distance Geometry 2e by : Dattorro

Download or read book Convex Optimization Euclidean Distance Geometry 2e written by Dattorro and published by Lulu.com. This book was released on 2015-09-29 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Analysis is an emerging calculus of inequalities while Convex Optimization is its application. Analysis is the domain of the mathematician while Optimization belongs to the engineer. In layman's terms, the mathematical science of Optimization is a study of how to make good choices when confronted with conflicting requirements and demands. The qualifier Convex means: when an optimal solution is found, then it is guaranteed to be a best solution; there is no better choice. As any convex optimization problem has geometric interpretation, this book is about convex geometry (with particular attention to distance geometry) and nonconvex, combinatorial, and geometrical problems that can be relaxed or transformed into convexity. A virtual flood of new applications follows by epiphany that many problems, presumed nonconvex, can be so transformed. This is a BLACK & WHITE paperback. A hardcover with full color interior, as originally conceived, is available at lulu.com/spotlight/dattorro

Pattern Recognition

Author : Jesús Ariel Carrasco-Ochoa
Publisher : Springer
ISBN 13 : 3319592262
Total Pages : 314 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Pattern Recognition by : Jesús Ariel Carrasco-Ochoa

Download or read book Pattern Recognition written by Jesús Ariel Carrasco-Ochoa and published by Springer. This book was released on 2017-05-31 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th Mexican Conference on Pattern Recognition, MCPR 2017, held in Huatulco, Mexico, in June 2017. The 29 revised full papers presented were carefully reviewed and selected from 55 submissions. The papers are organized in topical sections on pattern recognition and artificial intelligence techniques, image processing and analysis, robotics and remote sensing, natural language processing and recognition, applications of pattern recognition.

Multivariate Data Analysis on Matrix Manifolds

Author : Nickolay Trendafilov
Publisher : Springer Nature
ISBN 13 : 3030769747
Total Pages : 467 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Multivariate Data Analysis on Matrix Manifolds by : Nickolay Trendafilov

Download or read book Multivariate Data Analysis on Matrix Manifolds written by Nickolay Trendafilov and published by Springer Nature. This book was released on 2021-09-15 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook aims to give a unified presentation and solution of several commonly used techniques for multivariate data analysis (MDA). Unlike similar texts, it treats the MDA problems as optimization problems on matrix manifolds defined by the MDA model parameters, allowing them to be solved using (free) optimization software Manopt. The book includes numerous in-text examples as well as Manopt codes and software guides, which can be applied directly or used as templates for solving similar and new problems. The first two chapters provide an overview and essential background for studying MDA, giving basic information and notations. Next, it considers several sets of matrices routinely used in MDA as parameter spaces, along with their basic topological properties. A brief introduction to matrix (Riemannian) manifolds and optimization methods on them with Manopt complete the MDA prerequisite. The remaining chapters study individual MDA techniques in depth. The number of exercises complement the main text with additional information and occasionally involve open and/or challenging research questions. Suitable fields include computational statistics, data analysis, data mining and data science, as well as theoretical computer science, machine learning and optimization. It is assumed that the readers have some familiarity with MDA and some experience with matrix analysis, computing, and optimization.

Applied And Industrial Mathematics In Italy - Proceedings Of The 7th Conference

Author : Mario Primicerio
Publisher : World Scientific
ISBN 13 : 9814480126
Total Pages : 609 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Applied And Industrial Mathematics In Italy - Proceedings Of The 7th Conference by : Mario Primicerio

Download or read book Applied And Industrial Mathematics In Italy - Proceedings Of The 7th Conference written by Mario Primicerio and published by World Scientific. This book was released on 2005-06-14 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: Industrial mathematics is evolving into an important branch of mathematics. Mathematicians, in Italy in particular, are becoming increasingly aware of this new trend and are engaged in bridging the gap between highly specialized mathematical research and the emerging demand for innovation from industry. In this respect, the contributions in this volume provide both R&D workers in industry with a general view of existing skills, and academics with state-of-the-art applications of mathematics to real-world problems, which may also be incorporated in advanced courses.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Templates for the Solution of Algebraic Eigenvalue Problems

Author : Zhaojun Bai
Publisher : SIAM
ISBN 13 : 9780898719581
Total Pages : 439 pages
Book Rating : 4.7/5 (195 download)

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Book Synopsis Templates for the Solution of Algebraic Eigenvalue Problems by : Zhaojun Bai

Download or read book Templates for the Solution of Algebraic Eigenvalue Problems written by Zhaojun Bai and published by SIAM. This book was released on 2000-01-01 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem.

Handbook of Item Response Theory Modeling

Author : Steven P. Reise
Publisher : Routledge
ISBN 13 : 1317565703
Total Pages : 484 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis Handbook of Item Response Theory Modeling by : Steven P. Reise

Download or read book Handbook of Item Response Theory Modeling written by Steven P. Reise and published by Routledge. This book was released on 2014-11-20 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Item response theory (IRT) has moved beyond the confines of educational measurement into assessment domains such as personality, psychopathology, and patient-reported outcomes. Classic and emerging IRT methods and applications that are revolutionizing psychological measurement, particularly for health assessments used to demonstrate treatment effectiveness, are reviewed in this new volume. World renowned contributors present the latest research and methodologies about these models along with their applications and related challenges. Examples using real data, some from NIH-PROMIS, show how to apply these models in actual research situations. Chapters review fundamental issues of IRT, modern estimation methods, testing assumptions, evaluating fit, item banking, scoring in multidimensional models, and advanced IRT methods. New multidimensional models are provided along with suggestions for deciding among the family of IRT models available. Each chapter provides an introduction, describes state-of-the art research methods, demonstrates an application, and provides a summary. The book addresses the most critical IRT conceptual and statistical issues confronting researchers and advanced students in psychology, education, and medicine today. Although the chapters highlight health outcomes data the issues addressed are relevant to any content domain. The book addresses: IRT models applied to non-educational data especially patient reported outcomes Differences between cognitive and non-cognitive constructs and the challenges these bring to modeling. The application of multidimensional IRT models designed to capture typical performance data. Cutting-edge methods for deriving a single latent dimension from multidimensional data A new model designed for the measurement of constructs that are defined on one end of a continuum such as substance abuse Scoring individuals under different multidimensional IRT models and item banking for patient-reported health outcomes How to evaluate measurement invariance, diagnose problems with response categories, and assess growth and change. Part 1 reviews fundamental topics such as assumption testing, parameter estimation, and the assessment of model and person fit. New, emerging, and classic IRT models including modeling multidimensional data and the use of new IRT models in typical performance measurement contexts are examined in Part 2. Part 3 reviews the major applications of IRT models such as scoring, item banking for patient-reported health outcomes, evaluating measurement invariance, linking scales to a common metric, and measuring growth and change. The book concludes with a look at future IRT applications in health outcomes measurement. The book summarizes the latest advances and critiques foundational topics such a multidimensionality, assessment of fit, handling non-normality, as well as applied topics such as differential item functioning and multidimensional linking. Intended for researchers, advanced students, and practitioners in psychology, education, and medicine interested in applying IRT methods, this book also serves as a text in advanced graduate courses on IRT or measurement. Familiarity with factor analysis, latent variables, IRT, and basic measurement theory is assumed.

Coherence

Author : David Ramírez
Publisher : Springer Nature
ISBN 13 : 3031133315
Total Pages : 495 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Coherence by : David Ramírez

Download or read book Coherence written by David Ramírez and published by Springer Nature. This book was released on 2023-01-01 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book organizes principles and methods of signal processing and machine learning into the framework of coherence. The book contains a wealth of classical and modern methods of inference, some reported here for the first time. General results are applied to problems in communications, cognitive radio, passive and active radar and sonar, multi-sensor array processing, spectrum analysis, hyperspectral imaging, subspace clustering, and related. The reader will find new results for model fitting; for dimension reduction in models and ambient spaces; for detection, estimation, and space-time series analysis; for subspace averaging; and for uncertainty quantification. Throughout, the transformation invariances of statistics are clarified, geometries are illuminated, and null distributions are given where tractable. Stochastic representations are emphasized, as these are central to Monte Carlo simulations. The appendices contain a comprehensive account of matrix theory, the SVD, the multivariate normal distribution, and many of the important distributions for coherence statistics. The book begins with a review of classical results in the physical and engineering sciences where coherence plays a fundamental role. Then least squares theory and the theory of minimum mean-squared error estimation are developed, with special attention paid to statistics that may be interpreted as coherence statistics. A chapter on classical hypothesis tests for covariance structure introduces the next three chapters on matched and adaptive subspace detectors. These detectors are derived from likelihood reasoning, but it is their geometries and invariances that qualify them as coherence statistics. A chapter on independence testing in space-time data sets leads to a definition of broadband coherence, and contains novel applications to cognitive radio and the analysis of cyclostationarity. The chapter on subspace averaging reviews basic results and derives an order-fitting rule for determining the dimension of an average subspace. These results are used to enumerate sources of acoustic and electromagnetic radiation and to cluster subspaces into similarity classes. The chapter on performance bounds and uncertainty quantification emphasizes the geometry of the Cramèr-Rao bound and its related information geometry.

Solving Problems in Scientific Computing Using Maple and MATLAB®

Author : Walter Gander
Publisher : Springer Science & Business Media
ISBN 13 : 364297953X
Total Pages : 416 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Solving Problems in Scientific Computing Using Maple and MATLAB® by : Walter Gander

Download or read book Solving Problems in Scientific Computing Using Maple and MATLAB® written by Walter Gander and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: ".. An excellent reference on undergraduate mathematical computing." (American Mathematical Monthly) "... manuals for such systems (Maple and MATLAB) tend to use trivial examples, making it difficult for new users of such systems to quickly apply their power to real problems. The authors have written a good book to address this need. ... the book is worth buying if you want guidance in applying Maple and MATLAB to problems in the workplace..." (Computing Reviews) ".. The presentation is unique, and extremely interesting. I was thrilled to read this text, and to learn the powerful problem-solving skills presented by these authors. I recommend the text highly, as a learning experience, not only to engineering students, but also to anyone interested in computation." (Mathematics of Computation)

Advances in Swarm and Computational Intelligence

Author : Ying Tan
Publisher : Springer
ISBN 13 : 3319204726
Total Pages : 501 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Advances in Swarm and Computational Intelligence by : Ying Tan

Download or read book Advances in Swarm and Computational Intelligence written by Ying Tan and published by Springer. This book was released on 2015-06-01 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book and its companion volumes, LNCS volumes 9140, 9141 and 9142, constitute the proceedings of the 6th International Conference on Swarm Intelligence, ICSI 2015 held in conjunction with the Second BRICS Congress on Computational Intelligence, CCI 2015, held in Beijing, China in June 2015. The 161 revised full papers presented were carefully reviewed and selected from 294 submissions. The papers are organized in 28 cohesive sections covering all major topics of swarm intelligence and computational intelligence research and development, such as novel swarm-based optimization algorithms and applications; particle swarm opt8imization; ant colony optimization; artificial bee colony algorithms; evolutionary and genetic algorithms; differential evolution; brain storm optimization algorithm; biogeography based optimization; cuckoo search; hybrid methods; multi-objective optimization; multi-agent systems and swarm robotics; Neural networks and fuzzy methods; data mining approaches; information security; automation control; combinatorial optimization algorithms; scheduling and path planning; machine learning; blind sources separation; swarm interaction behavior; parameters and system optimization; neural networks; evolutionary and genetic algorithms; fuzzy systems; forecasting algorithms; classification; tracking analysis; simulation; image and texture analysis; dimension reduction; system optimization; segmentation and detection system; machine translation; virtual management and disaster analysis.

Numerical Linear Algebra in Signals, Systems and Control

Author : Paul Van Dooren
Publisher : Springer Science & Business Media
ISBN 13 : 9400706022
Total Pages : 481 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Numerical Linear Algebra in Signals, Systems and Control by : Paul Van Dooren

Download or read book Numerical Linear Algebra in Signals, Systems and Control written by Paul Van Dooren and published by Springer Science & Business Media. This book was released on 2011-05-21 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

Information Processing in Medical Imaging

Author : James Duncan
Publisher : Springer Science & Business Media
ISBN 13 : 9783540630463
Total Pages : 580 pages
Book Rating : 4.6/5 (34 download)

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Book Synopsis Information Processing in Medical Imaging by : James Duncan

Download or read book Information Processing in Medical Imaging written by James Duncan and published by Springer Science & Business Media. This book was released on 1997-05-21 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Information Processing in Medical Imaging, IPMI'97, held in Poultney, Vermont, USA, in June 1997. The 27 revised full papers presented were selected from a total of 96 submissions; also included are 31 poster presentations. The book is divided into topical sections on shape models and matching, novel imaging methods, segmentation, image quality and statistical character of measured data, registration/mapping, statistical models in functional neuroimaging, and MR analysis and processing.

Linear Algebra for Data Science, Machine Learning, and Signal Processing

Author : Jeffrey A. Fessler
Publisher : Cambridge University Press
ISBN 13 : 1009418149
Total Pages : 453 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Linear Algebra for Data Science, Machine Learning, and Signal Processing by : Jeffrey A. Fessler

Download or read book Linear Algebra for Data Science, Machine Learning, and Signal Processing written by Jeffrey A. Fessler and published by Cambridge University Press. This book was released on 2024-04-30 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master matrix methods via engaging data-driven applications, aided by classroom-tested quizzes, homework exercises and online Julia demos.

Algebraic Geodesy and Geoinformatics

Author : Joseph L. Awange
Publisher : Springer Science & Business Media
ISBN 13 : 3642121241
Total Pages : 380 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Algebraic Geodesy and Geoinformatics by : Joseph L. Awange

Download or read book Algebraic Geodesy and Geoinformatics written by Joseph L. Awange and published by Springer Science & Business Media. This book was released on 2010-05-27 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: While preparing and teaching ‘Introduction to Geodesy I and II’ to undergraduate students at Stuttgart University, we noticed a gap which motivated the writing of the present book: Almost every topic that we taught required some skills in algebra, and in particular, computer algebra! From positioning to transformation problems inherent in geodesy and geoinformatics, knowledge of algebra and application of computer algebra software were required. In preparing this book therefore, we have attempted to put together basic concepts of abstract algebra which underpin the techniques for solving algebraic problems. Algebraic computational algorithms useful for solving problems which require exact solutions to nonlinear systems of equations are presented and tested on various problems. Though the present book focuses mainly on the two ?elds, the concepts and techniques presented herein are nonetheless applicable to other ?elds where algebraic computational problems might be encountered. In Engineering for example, network densi?cation and robotics apply resection and intersection techniques which require algebraic solutions. Solution of nonlinear systems of equations is an indispensable task in almost all geosciences such as geodesy, geoinformatics, geophysics (just to mention but a few) as well as robotics. These equations which require exact solutions underpin the operations of ranging, resection, intersection and other techniques that are normally used. Examples of problems that require exact solutions include; • three-dimensional resection problem for determining positions and orientation of sensors, e. g. , camera, theodolites, robots, scanners etc.