Volumetric Discrete Geometry

Volumetric Discrete Geometry PDF Author: Karoly Bezdek
Publisher: CRC Press
ISBN: 1000007162
Category : Mathematics
Languages : en
Pages : 210

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Book Description
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

Volumetric Discrete Geometry

Volumetric Discrete Geometry PDF Author: Karoly Bezdek
Publisher: CRC Press
ISBN: 1000007162
Category : Mathematics
Languages : en
Pages : 210

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Book Description
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

Volumetric Discrete Geometry

Volumetric Discrete Geometry PDF Author: Karoly Bezdek
Publisher: CRC Press
ISBN: 1000000338
Category : Mathematics
Languages : en
Pages : 307

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Book Description
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

Applications of Discrete Geometry and Mathematical Morphology

Applications of Discrete Geometry and Mathematical Morphology PDF Author: Ullrich Köthe
Publisher: Springer
ISBN: 3642323138
Category : Computers
Languages : en
Pages : 175

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Book Description
This book constitutes the refereed proceedings of the first Workshop on Applications of Discrete Geometry and Mathematical Morphology, WADGMM 2010, held at the International Conference on Pattern Recognition in Istanbul, Turkey, in August 2010. The 11 revised full papers presented were carefully reviewed and selected from 25 submissions. The book was specifically designed to promote interchange and collaboration between experts in discrete geometry/mathematical morphology and potential users of these methods from other fields of image analysis and pattern recognition.

Convexity from the Geometric Point of View

Convexity from the Geometric Point of View PDF Author: Vitor Balestro
Publisher: Springer Nature
ISBN: 3031505077
Category :
Languages : en
Pages : 1195

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Book Description


The Art of Proving Binomial Identities

The Art of Proving Binomial Identities PDF Author: Michael Z. Spivey
Publisher: CRC Press
ISBN: 1351215809
Category : Mathematics
Languages : en
Pages : 277

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Book Description
The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton’s binomial series), differentiation (Leibniz’s generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics.

Methods for the Summation of Series

Methods for the Summation of Series PDF Author: Tian-Xiao He
Publisher: CRC Press
ISBN: 1000534375
Category : Mathematics
Languages : en
Pages : 301

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Book Description
This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author’s focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding. Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in this field, while some materials of the book can be used as a portal for further research.

Combinatorics and Number Theory of Counting Sequences

Combinatorics and Number Theory of Counting Sequences PDF Author: Istvan Mezo
Publisher: CRC Press
ISBN: 1351346377
Category : Computers
Languages : en
Pages : 438

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Book Description
Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations. The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them. Still, the book collects vast, up-to-date information for many counting sequences (especially, related to set partitions and permutations), so it is a must-have piece for those mathematicians who do research on enumerative combinatorics. In addition, the book contains number theoretical results on counting sequences of set partitions and permutations, so number theorists who would like to see nice applications of their area of interest in combinatorics will enjoy the book, too. Features The Outlook sections at the end of each chapter guide the reader towards topics not covered in the book, and many of the Outlook items point towards new research problems. An extensive bibliography and tables at the end make the book usable as a standard reference. Citations to results which were scattered in the literature now become easy, because huge parts of the book (especially in parts II and III) appear in book form for the first time.

Biomechanical Systems Technology (A 4-volume Set): (1) Computational Methods

Biomechanical Systems Technology (A 4-volume Set): (1) Computational Methods PDF Author: Cornelius T Leondes
Publisher: World Scientific
ISBN: 9814474959
Category : Medical
Languages : en
Pages : 328

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Book Description
Because of rapid developments in computer technology and computational techniques, advances in a wide spectrum of technologies, coupled with cross-disciplinary pursuits between technology and its application to human body processes, the field of biomechanics continues to evolve. Many areas of significant progress include dynamics of musculoskeletal systems, mechanics of hard and soft tissues, mechanics of bone remodeling, mechanics of blood and air flow, flow-prosthesis interfaces, mechanics of impact, dynamics of man-machine interaction, and more. Thus, the great breadth and significance of the field in the international scene require a well integrated set of volumes to provide a complete coverage of the exciting subject of biomechanical systems technology. World-renowned contributors tackle the latest technologies in an in-depth and readable manner.

Applied Combinatorics, Third Edition

Applied Combinatorics, Third Edition PDF Author: Fred S. Roberts
Publisher: CRC Press
ISBN: 1040120296
Category : Mathematics
Languages : en
Pages : 757

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Book Description
The third edition of this popular text presents the tools of combinatorics for a first undergraduate course. After introducing fundamental counting rules, tools of graph theory and relations, the focus is on three basic problems of combinatorics: counting, existence, and optimization problems.

Encyclopedia of Microcomputers

Encyclopedia of Microcomputers PDF Author: Allen Kent
Publisher: CRC Press
ISBN: 9780824727253
Category : Computers
Languages : en
Pages : 558

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Book Description
This is the 26th volume in the Encyclopedia of Microcomputers series. It covers topics such as volume graphics and an automatic fuzzy rule generation method for handwriting recognition.