A Mathematical Space Odyssey - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Mathematical Space Odyssey write by Claudi Alsina. This book was released on 2015-08-21. A Mathematical Space Odyssey available in PDF, EPUB and Kindle. Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. Courses in solid geometry have largely disappeared from American high schools and colleges. The authors are convinced that a mathematical exploration of three-dimensional geometry merits some attention in today’s curriculum. A Mathematical Space Odyssey: Solid Geometry in the 21st Century is devoted to presenting techniques for proving a variety of mathematical results in three-dimensional space, techniques that may improve one’s ability to think visually. Special attention is given to the classical icons of solid geometry (prisms, pyramids, platonic solids, cones, cylinders, and spheres) and many new and classical results: Cavalieri’s principle, Commandino’s theorem, de Gua’s theorem, Prince Rupert’s cube, the Menger sponge, the Schwarz lantern, Euler’s rotation theorem, the Loomis-Whitney inequality, Pythagorean theorems in three dimensions, etc. The authors devote a chapter to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. In addition to many figures illustrating theorems and their proofs, a selection of photographs of three-dimensional works of art and architecture are included. Each chapter includes a selection of Challenges for the reader to explore further properties and applications. It concludes with solutions to all the Challenges in the book, references, and a complete index. Readers should be familiar with high school algebra, plane and analytic geometry, and trigonometry. While brief appearances of calculus do occur, no knowledge of calculus is necessary to enjoy this book.
Math Trek 2
Math Trek 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Math Trek 2 write by Ivars Peterson. This book was released on 2000-10. Math Trek 2 available in PDF, EPUB and Kindle. Take a wild and wonderful voyage through the world of mathematics with this fun book filled with intriguing math concepts that's also packed with plenty of art, projects, historical profiles, and challenges. 70 illustrations.
Math Trek 2
Math Trek 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Math Trek 2 write by Ivars Peterson. This book was released on 2000-10-26. Math Trek 2 available in PDF, EPUB and Kindle. Take a wild and Wonderful Voyage Through the Universe of Mathematics! Just imagine how much fun it would be to explore the fourth dimension! Play baseball on an asteroid! Ride an alien bike with square wheels! Let Math Trek 2 take you on an intergalactic excursion as you master dizzying mathematical concepts on your home planet of Earth! While playing games and solving puzzles, you can explore mind-boggling mental mysteries and investigate hidden patterns in the universe. From strange number sequences and bizarre buckyballs to random walks, you’ll be amazed at the mathematical concepts you’ll soon comprehend. So let Math Trek 2 take you on a fantastic space odyssey where you can look for a pi in the sky, get stuck in galactic gridlock, and sail away to the planet of the shapes!
College Math
College Math - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook College Math write by Cornelius Nelan. This book was released on 1994-01-01. College Math available in PDF, EPUB and Kindle.
Extension Problems and Stable Ranks
Extension Problems and Stable Ranks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Extension Problems and Stable Ranks write by Raymond Mortini. This book was released on 2021-08-02. Extension Problems and Stable Ranks available in PDF, EPUB and Kindle. This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.
