Exploring Curvature

Author : James Casey
Publisher : Springer Science & Business Media
ISBN 13 : 3322802744
Total Pages : 305 pages
Book Rating : 4.43/5 ( download)

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Download or read book Exploring Curvature written by James Casey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book is organized around a collection of simple experiments which the reader can perform at home or in a classroom setting. Methods for physically exploring the intrinsic geometry of commonplace curved objects (such as bowls, balls and watermelons) are described. The concepts of Gaussian curvature, parallel transport, and geodesics are treated.

Author : Shlomo Sternberg
Publisher : Courier Corporation
ISBN 13 : 0486292711
Total Pages : 416 pages
Book Rating : 4.17/5 ( download)

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Download or read book Curvature in Mathematics and Physics written by Shlomo Sternberg and published by Courier Corporation. This book was released on 2013-04-17 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

Author : Siri Chongchitnan
Publisher : Springer Nature
ISBN 13 : 303146270X
Total Pages : 521 pages
Book Rating : 4.02/5 ( download)

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Download or read book Exploring University Mathematics with Python written by Siri Chongchitnan and published by Springer Nature. This book was released on 2024-01-05 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique tour of university mathematics with the help of Python. Written in the spirit of mathematical exploration and investigation, the book enables students to utilise Python to enrich their understanding of mathematics through: Calculation: performing complex calculations and numerical simulations instantly Visualisation: demonstrating key theorems with graphs, interactive plots and animations Extension: using numerical findings as inspiration for making deeper, more general conjectures. This book is for all learners of mathematics, with the primary audience being mathematics undergraduates who are curious to see how Python can enhance their understanding of core university material. The topics chosen represent a mathematical overview of what students typically study in the first and second years at university, namely analysis, calculus, vector calculus and geometry, differential equations and dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics. As such, it can also serve as a preview of university mathematics for high-school students. The prerequisites for reading the book are a familiarity with standard A-Level mathematics (or equivalent senior high-school curricula) and a willingness to learn programming. For mathematics lecturers and teachers, this book is a useful resource on how Python can be seamlessly incorporated into the mathematics syllabus, assuming only basic knowledge of programming.

Author : Victor Andreevich Toponogov
Publisher : Springer Science & Business Media
ISBN 13 : 0817644024
Total Pages : 215 pages
Book Rating : 4.24/5 ( download)

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Download or read book Differential Geometry of Curves and Surfaces written by Victor Andreevich Toponogov and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels

Author : Harold Abelson
Publisher : MIT Press
ISBN 13 : 9780262510370
Total Pages : 502 pages
Book Rating : 4.75/5 ( download)

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Download or read book Turtle Geometry written by Harold Abelson and published by MIT Press. This book was released on 1986-07-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.

Author : L.Christine Kinsey
Publisher : Springer Science & Business Media
ISBN 13 : 9781930190092
Total Pages : 524 pages
Book Rating : 4.93/5 ( download)

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Download or read book Symmetry, Shape and Space written by L.Christine Kinsey and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.

Author : Malgorzata Marciniak
Publisher : Springer
ISBN 13 : 3642047351
Total Pages : 452 pages
Book Rating : 4.50/5 ( download)

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Download or read book Aspects of Natural Language Processing written by Malgorzata Marciniak and published by Springer. This book was released on 2009-10-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years Leonard Bolc has played an important role in the Polish computer science community. He is especially known for his clear vision in the development of artificial intelligence, inspiring research, organizational and editorial achievements in areas such as e.g.: logic, automatic reasoning, natural language processing, and computer applications of natural language or human-like reasoning. This Festschrift volume, published to honor Leonard Bolc on his 75th birthday includes 17 refereed papers by leading researchers, his friends, former students and colleagues to celebrate his scientific career. The essays present research in the areas which Leonard Bolc and his colleagues investigated during his long scientific career. The volume is organized in three parts; the first is devoted to logic - the domain which was one of the most explored by Leonard Bolc himself. The second part contains papers focusing on different aspects of computational linguistics; the third part comprises papers describing different applications in which natural language processing or automatic reasoning plays an important role.

Author : Catherine A. Gorini
Publisher : Cambridge University Press
ISBN 13 : 9780883851647
Total Pages : 244 pages
Book Rating : 4.44/5 ( download)

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Download or read book Geometry at Work written by Catherine A. Gorini and published by Cambridge University Press. This book was released on 2000-10-12 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with art and architecture and culminating with science and mathematics itself, this book discusses geometric ideas and their many applications throughout history. These range from ancient to modern, concrete to abstract, and familiar to cutting edge. Each chapter is written by a leading expert or pioneer in their own field, and the book should be a valuable resource for students and teachers of geometry alike.

Author : Joseph Albert Wolf
Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.42/5 ( download)

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Download or read book Spaces of Constant Curvature written by Joseph Albert Wolf and published by . This book was released on 1974 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : L. Christine Kinsey
Publisher : John Wiley & Sons
ISBN 13 : 0470499494
Total Pages : 960 pages
Book Rating : 4.98/5 ( download)

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Download or read book Geometry and Symmetry written by L. Christine Kinsey and published by John Wiley & Sons. This book was released on 2010-04-19 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with the text to enable them to explore geometry. The activities take advantage of geometric software so they'll gain a better understanding of its capabilities. Mathematics teachers will be able to use this material to create exciting and engaging projects in the classroom.