Download or read book Equivalent and Equidecomposable Figures written by Vladimir Grigorʹevich Bolti︠a︡nskiĭ and published by . This book was released on 1963 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hyperbolic Functions written by V. G. Shervatov and published by Courier Corporation. This book was released on 2013-11-07 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This single-volume compilation consists of Hyperbolic Functions, introducing the hyperbolic sine, cosine, and tangent; Configuration Theorems, concerning collinear points and concurrent lines; and Equivalent and Equidecomposable Figures, regarding polyhedrons. 1963 edition.
Download or read book Dissections written by Greg N. Frederickson and published by Cambridge University Press. This book was released on 1997 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, beautifully illustrated survey accessible to anyone familiar with high school geometry.
Download or read book Science Course Improvement Projects written by National Science Foundation (U.S.) and published by . This book was released on 1962 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Convex Geometry written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.
Download or read book Convexity and Its Applications written by GRUBER and published by Birkhäuser. This book was released on 2013-11-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of surveys consists in part of extensions of papers presented at the conferences on convexity at the Technische Universitat Wien (July 1981) and at the Universitat Siegen (July 1982) and in part of articles written at the invitation of the editors. This volume together with the earlier volume «Contributions to Geometry» edited by Tolke and Wills and published by Birkhauser in 1979 should give a fairly good account of many of the more important facets of convexity and its applications. Besides being an up to date reference work this volume can be used as an advanced treatise on convexity and related fields. We sincerely hope that it will inspire future research. Fenchel, in his paper, gives an historical account of convexity showing many important but not so well known facets. The articles of Papini and Phelps relate convexity to problems of functional analysis on nearest points, nonexpansive maps and the extremal structure of convex sets. A bridge to mathematical physics in the sense of Polya and Szego is provided by the survey of Bandle on isoperimetric inequalities, and Bachem's paper illustrates the importance of convexity for optimization. The contribution of Coxeter deals with a classical topic in geometry, the lines on the cubic surface whereas Leichtweiss shows the close connections between convexity and differential geometry. The exhaustive survey of Chalk on point lattices is related to algebraic number theory. A topic important for applications in biology, geology etc.
Download or read book Lure of the Integers written by Joe Roberts and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Knots and Borromean Rings Rep Tiles and Eight Queens written by Martin Gardner and published by Cambridge University Press. This book was released on 2014-09-15 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Find new twists on knotted molecules, the hangman's paradox, cat's cradle, gambling, peg solitaire, pi and e in this book.
Download or read book S M A R T Circle Minicourses written by Andrew Chiang-Fung Liu and published by Springer. This book was released on 2017-12-30 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes mini-courses in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the third volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials. This book, Volume III, consists of mini-courses and explains what actually takes place in the Circle. Volume I describes how to run a Circle, and Volume II, consisting of student projects, addresses the purpose of the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to conduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own.
Download or read book Learn from the Masters written by Frank Swetz and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.
Download or read book Technical Translations written by and published by . This book was released on 1963 with total page 1628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NIH Library Booklist written by and published by . This book was released on 1963 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Treks Into Intuitive Geometry written by J. Akiyama and published by Springer Nature. This book was released on 2024 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theoriestheir trials, errors, and triumphsin reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by Lszlo Fejes Tth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the books rich content even further.
Download or read book Science Course Improvements Projects written by National Science Foundation (U.S.) and published by . This book was released on 1964 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Frontiers in Algorithmics and Algorithmic Aspects in Information and Management written by Michael Fellows and published by Springer. This book was released on 2013-05-21 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Frontiers of Algorithmics Workshop, FAW 2013, and the 9th International Conference on Algorithmic Aspects in Information and Management, AAIM 2013, jointly held in Dalian, China, in June 2013. The 33 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 60 submissions. The Joint Conference provide a focused forum on current trends of research on algorithms, discrete structures, operation research, combinatorial optimization and their applications, and will bring together international experts at the research frontiers in these areas to exchange ideas and to present significant new results. The mission of the Joint Conference is to stimulate the various fields for which algorithmics can become a crucial enabler, and to strengthen the ties between the Eastern and Western research communities of algorithmics and applications.
Download or read book Combinatorial Geometry in the Plane written by Hugo Hadwiger and published by Courier Corporation. This book was released on 2014-10-27 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduate-level text discusses theorems on topics restricted to the plane, such as convexity, coverings, and graphs. Two-part treatment begins with specific topics followed by an extensive selection of short proofs. 1964 edition.
Download or read book Why Prove it Again written by John W. Dawson, Jr. and published by Birkhäuser. This book was released on 2015-07-15 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. While a number of books have examined alternative proofs of individual theorems, this is the first that presents comparative case studies of other methods for a variety of different theorems. The author begins by laying out the criteria for distinguishing among proofs and enumerates reasons why new proofs have, for so long, played a prominent role in mathematical practice. He then outlines various purposes that alternative proofs may serve. Each chapter that follows provides a detailed case study of alternative proofs for particular theorems, including the Pythagorean Theorem, the Fundamental Theorem of Arithmetic, Desargues’ Theorem, the Prime Number Theorem, and the proof of the irreducibility of cyclotomic polynomials. Why Prove It Again? will appeal to a broad range of readers, including historians and philosophers of mathematics, students, and practicing mathematicians. Additionally, teachers will find it to be a useful source of alternative methods of presenting material to their students.
