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Explorations In Geometry
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Download or read book Explorations in Geometry written by and published by World Scientific. This book was released on 2010 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad."-
Book Synopsis Explorations In Geometry by : Bruce Shawyer
Download or read book Explorations In Geometry written by Bruce Shawyer and published by World Scientific Publishing Company. This book was released on 2010-03-17 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad.
Book Synopsis Synergetics by : R. Buckminster Fuller
Download or read book Synergetics written by R. Buckminster Fuller and published by Estate of R. Buckminster Fuller. This book was released on 1982 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synergetics, according to E. J. Applewhite, was Fuller's name for the geometry he advanced based on the patterns of energy that he saw in nature. For Fuller, geometry was a laboratory science with the touch and feel of physical models--not rules out of a textbook. It gains its validity not from classic abstractions but from the results of individual physical experience. Description by the Buckminster Fuller Institute, courtesy of The Estate of Buckminster Fuller
Book Synopsis Explorations in Complex Analysis by : Michael A. Brilleslyper
Download or read book Explorations in Complex Analysis written by Michael A. Brilleslyper and published by American Mathematical Soc.. This book was released on 2012-12-31 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.
Book Synopsis Explorations in Mathematical Physics by : Don Koks
Download or read book Explorations in Mathematical Physics written by Don Koks and published by Springer Science & Business Media. This book was released on 2006-09-15 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
Book Synopsis Function Theory of Several Complex Variables by : Steven George Krantz
Download or read book Function Theory of Several Complex Variables written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2001 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Book Synopsis Informal Geometry Explorations by : Margaret J. Kenney
Download or read book Informal Geometry Explorations written by Margaret J. Kenney and published by Pearson Education. This book was released on 1997-02 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than 75 motivational problem-solving activities explore geometry in the natural and human worlds: counting, area, construction, congruence, visualization, symmetry, tiling, and dissection. These versatile problems introduce new topics, reinforce and review ideas, or simply serve as a change of pace. Blackline masters and answer key.
Book Synopsis Geometry from Africa by : Paulus Gerdes
Download or read book Geometry from Africa written by Paulus Gerdes and published by Cambridge University Press. This book was released on 1999-09-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.
Book Synopsis A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra by : Kenneth J. M. MacLean
Download or read book A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra written by Kenneth J. M. MacLean and published by Loving Healing Press. This book was released on 2007-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a meticulous geometric investigation of the five Platonic Solids and five other important polyhedra, as well as reference charts for each solid. (Mathematics)
Author :R. Buckminster Fuller Publisher :The Estate of R. Buckminster Fuller ISBN 13 :0020926405 Total Pages :651 pages Book Rating :4.0/5 (29 download)
Book Synopsis Synergetics 2 by : R. Buckminster Fuller
Download or read book Synergetics 2 written by R. Buckminster Fuller and published by The Estate of R. Buckminster Fuller. This book was released on 1983 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synergetics 2 contains a ninety-page index to both volumes. They comprise a single work with the sequence of paragraphs numbered to dovetail in a single integrated narrative. They should eventually be published as a single work eliminating the artificial division into two volumes resulting from the chronology of their composition. E. J. Applewhite, courtesy of the Estate of R. Buckminster Fuller
Book Synopsis Calculus Explorations with Geometry Expressions by : Irina Lyublinskaya
Download or read book Calculus Explorations with Geometry Expressions written by Irina Lyublinskaya and published by . This book was released on 2010-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers know the difficulties in motivating many students to develop the habits of mind and critical thinking skills necessary to thoroughly understand the concepts of calculus. The purpose of this book is to use Geometry Expressions software in order to facilitate and enhance the calculus syllabus by allowing students to ground calculus concepts in a geometric way. The 29 student explorations in this book cover the major topics of a standard course of calculus, and are completed with the help of the constraint-based dynamic software package, Geometry Expressions. Using Geometry Expressions in learning calculus, students have the opportunity to develop general investigation skills, make connections between geometric and algebraic representations of major calculus ideas, interpret analytic problems visually and geometric problems algebraically, and develop facility with using a computer to prove general mathematics statements. Geometry Expressions enables more extensive calculus investigation than is possible in a traditional course of calculus. Open-ended explorations and investigations reinforce students' intellectual development. Students appreciate challenges and enjoy taking ownership in the problem solving process. This book, together with Geometry Expressions enables the student to do just that.
Book Synopsis The Heart of Calculus by : Philip M. Anselone
Download or read book The Heart of Calculus written by Philip M. Anselone and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives. The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.
Book Synopsis Deductive Geometry by : E.A. Maxwell
Download or read book Deductive Geometry written by E.A. Maxwell and published by Courier Dover Publications. This book was released on 2016-01-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level. The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.
Book Synopsis Experiencing Geometry by : David Wilson Henderson
Download or read book Experiencing Geometry written by David Wilson Henderson and published by Prentice Hall. This book was released on 2005 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.
Book Synopsis Explorations in Complex Functions by : Richard Beals
Download or read book Explorations in Complex Functions written by Richard Beals and published by Springer Nature. This book was released on 2020-10-19 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
Book Synopsis Playing with Infinity by : Rozsa Peter
Download or read book Playing with Infinity written by Rozsa Peter and published by . This book was released on 1986-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.
Book Synopsis A Course in Modern Geometries by : Judith N. Cederberg
Download or read book A Course in Modern Geometries written by Judith N. Cederberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics.
