Geometry And Its Applications

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Geometry and its Applications in Arts, Nature and Technology

Author : Georg Glaeser
Publisher : Springer Nature
ISBN 13 : 3030613984
Total Pages : 694 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Geometry and its Applications in Arts, Nature and Technology by : Georg Glaeser

Download or read book Geometry and its Applications in Arts, Nature and Technology written by Georg Glaeser and published by Springer Nature. This book was released on 2020-12-18 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.

Geometry and Its Applications

Author : Walter A. Meyer
Publisher : Elsevier
ISBN 13 : 0080478034
Total Pages : 560 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Geometry and Its Applications by : Walter A. Meyer

Download or read book Geometry and Its Applications written by Walter A. Meyer and published by Elsevier. This book was released on 2006-02-21 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. - Realistic applications integrated throughout the text, including (but not limited to): - Symmetries of artistic patterns - Physics - Robotics - Computer vision - Computer graphics - Stability of architectural structures - Molecular biology - Medicine - Pattern recognition - Historical notes included in many chapters

Differential Geometry and Its Applications

Author : John Oprea
Publisher : MAA
ISBN 13 : 9780883857489
Total Pages : 508 pages
Book Rating : 4.8/5 (574 download)

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Book Synopsis Differential Geometry and Its Applications by : John Oprea

Download or read book Differential Geometry and Its Applications written by John Oprea and published by MAA. This book was released on 2007-09-06 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.

Information Geometry and Its Applications

Author : Shun-ichi Amari
Publisher : Springer
ISBN 13 : 4431559787
Total Pages : 378 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Information Geometry and Its Applications by : Shun-ichi Amari

Download or read book Information Geometry and Its Applications written by Shun-ichi Amari and published by Springer. This book was released on 2016-02-02 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the Neyman–Scott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields.

Rigid Analytic Geometry and Its Applications

Author : Jean Fresnel
Publisher : Springer Science & Business Media
ISBN 13 : 1461200415
Total Pages : 303 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Rigid Analytic Geometry and Its Applications by : Jean Fresnel

Download or read book Rigid Analytic Geometry and Its Applications written by Jean Fresnel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.

Spherical Geometry and Its Applications

Author : Marshall A. Whittlesey
Publisher : CRC Press
ISBN 13 : 1000627527
Total Pages : 262 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Spherical Geometry and Its Applications by : Marshall A. Whittlesey

Download or read book Spherical Geometry and Its Applications written by Marshall A. Whittlesey and published by CRC Press. This book was released on 2019-11-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: A well-rounded introduction to spherical geometry Provides several proofs of some theorems to appeal to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography Many problems are based on propositions from the ancient text Sphaerica of Menelaus

Stochastic Geometry and its Applications

Author : Dietrich Stoyan
Publisher : Wiley
ISBN 13 : 9780470743645
Total Pages : 458 pages
Book Rating : 4.7/5 (436 download)

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Book Synopsis Stochastic Geometry and its Applications by : Dietrich Stoyan

Download or read book Stochastic Geometry and its Applications written by Dietrich Stoyan and published by Wiley. This book was released on 2009-03-16 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley Paperback Series makes valuable content more accessible to a new generation of statisticians, mathematicians and scientists. Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, biology and environmental sciences. They offer successful models for the description of random two- and three-dimensional micro and macro structures and statistical methods for their analysis. The book deals with the following topics: point processes random sets random measures random shapes fibre and surface processes tessellations stereological methods. This book has served as the key reference in its field for over 20 years and is regarded as the best treatment of the subject of stochastic geometry, both as an subject with vital applications to spatial statistics and as a very interesting field of mathematics in its own right.

An Introduction to Noncommutative Differential Geometry and Its Physical Applications

Author : J. Madore
Publisher : Cambridge University Press
ISBN 13 : 0521659914
Total Pages : 381 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis An Introduction to Noncommutative Differential Geometry and Its Physical Applications by : J. Madore

Download or read book An Introduction to Noncommutative Differential Geometry and Its Physical Applications written by J. Madore and published by Cambridge University Press. This book was released on 1999-06-24 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly revised introduction to non-commutative geometry.

Parallel Coordinates

Author : Alfred Inselberg
Publisher : Springer Science & Business Media
ISBN 13 : 0387686282
Total Pages : 571 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Parallel Coordinates by : Alfred Inselberg

Download or read book Parallel Coordinates written by Alfred Inselberg and published by Springer Science & Business Media. This book was released on 2009-08-15 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one book that can genuinely be said to be straight from the horse’s mouth. Written by the originator of the technique, it examines parallel coordinates as the leading methodology for multidimensional visualization. Starting from geometric foundations, this is the first systematic and rigorous exposition of the methodology's mathematical and algorithmic components. It covers, among many others, the visualization of multidimensional lines, minimum distances, planes, hyperplanes, and clusters of "near" planes. The last chapter explains in a non-technical way the methodology's application to visual and automatic data mining. The principles of the latter, along with guidelines, strategies and algorithms are illustrated in detail on real high-dimensional datasets.

Projective Geometry and Its Applications to Computer Graphics

Author : Michael A. Penna
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Projective Geometry and Its Applications to Computer Graphics by : Michael A. Penna

Download or read book Projective Geometry and Its Applications to Computer Graphics written by Michael A. Penna and published by Prentice Hall. This book was released on 1986 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Volumetric Discrete Geometry

Author : Karoly Bezdek
Publisher : CRC Press
ISBN 13 : 1000007162
Total Pages : 210 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Volumetric Discrete Geometry by : Karoly Bezdek

Download or read book Volumetric Discrete Geometry written by Karoly Bezdek and published by CRC Press. This book was released on 2019-04-24 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems. Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and is oriented for graduate level students wishing to learn about the latest research on the topic. Chapters can be studied independently from each other. Provides a list of 30 open problems to promote research Features more than 60 research exercises Ideally suited for researchers and students of combinatorics, geometry and discrete mathematics

Stochastic and Integral Geometry

Author : Rolf Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 354078859X
Total Pages : 692 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Stochastic and Integral Geometry by : Rolf Schneider

Download or read book Stochastic and Integral Geometry written by Rolf Schneider and published by Springer Science & Business Media. This book was released on 2008-09-08 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.

Symplectic Geometry and Analytical Mechanics

Author : P. Libermann
Publisher : Springer Science & Business Media
ISBN 13 : 9400938071
Total Pages : 541 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Symplectic Geometry and Analytical Mechanics by : P. Libermann

Download or read book Symplectic Geometry and Analytical Mechanics written by P. Libermann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. and begin with the answers. Then one day, It is that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' Brown 'The point of a Pin'. in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thouglit to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sci ences has changed drastically in recent years: measure theory is used (non-trivially) in re gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homo topy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Basic Elements of Differential Geometry and Topology

Author : S.P. Novikov
Publisher : Springer Science & Business Media
ISBN 13 : 9401578958
Total Pages : 500 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Basic Elements of Differential Geometry and Topology by : S.P. Novikov

Download or read book Basic Elements of Differential Geometry and Topology written by S.P. Novikov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht"natics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series

Mechanical Geometry Theorem Proving

Author : Shang-Ching Chou
Publisher : Springer
ISBN 13 : 9781402003301
Total Pages : 380 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mechanical Geometry Theorem Proving by : Shang-Ching Chou

Download or read book Mechanical Geometry Theorem Proving written by Shang-Ching Chou and published by Springer. This book was released on 2001-11-30 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Algebraic Geometry and Its Applications

Author : Jean Chaumine
Publisher : World Scientific
ISBN 13 : 9812793429
Total Pages : 530 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Algebraic Geometry and Its Applications by : Jean Chaumine

Download or read book Algebraic Geometry and Its Applications written by Jean Chaumine and published by World Scientific. This book was released on 2008 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry.

Contact Geometry and Nonlinear Differential Equations

Author : Alexei Kushner
Publisher : Cambridge University Press
ISBN 13 : 0521824761
Total Pages : 472 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Contact Geometry and Nonlinear Differential Equations by : Alexei Kushner

Download or read book Contact Geometry and Nonlinear Differential Equations written by Alexei Kushner and published by Cambridge University Press. This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.