Download or read book A Topological Aperitif written by Stephen Huggett and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a new look at the subject, choosing a geometric approach rather than the usual algebraic or combinatorial approach. It starts with a wealth of examples of how to be mathematically certain whether two objects are the same from the point of view of topology. After introducing surfaces, the book explores the properties of polyhedra drawn on these surfaces. More refined tools are developed in a chapter on winding number.
Download or read book Topology Now written by Robert Messer and published by American Mathematical Soc.. This book was released on 2018-10-10 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
Download or read book Topology written by Richard Earl and published by Oxford University Press, USA. This book was released on 2020-01-11 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: How is a subway map different from other maps? What makes a knot knotted? What makes the M�bius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics. In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Download or read book Explorations in Topology written by David Gay and published by Elsevier. This book was released on 2007-08-07 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explorations in Topology gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course. The innovative story-line style of the text models the problems-solving process, presents the development of concepts in a natural way, and through its informality seduces the reader into engagement with the material. The end-of-chapter Investigations give the reader opportunities to work on a variety of open-ended, non-routine problems, and, through a modified "Moore method", to make conjectures from which theorems emerge. The students themselves emerge from these experiences owning concepts and results. The end-of-chapter Notes provide historical background to the chapter’s ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides opportunities for continued involvement in "research" beyond the topics of the book. * Students begin to solve substantial problems right from the start * Ideas unfold through the context of a storyline, and students become actively involved * The text models the problem-solving process, presents the development of concepts in a natural way, and helps the reader engage with the material
Download or read book Lumen Naturae written by Matilde Marcolli and published by MIT Press. This book was released on 2020-05-26 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring common themes in modern art, mathematics, and science, including the concept of space, the notion of randomness, and the shape of the cosmos. This is a book about art—and a book about mathematics and physics. In Lumen Naturae (the title refers to a purely immanent, non-supernatural form of enlightenment), mathematical physicist Matilde Marcolli explores common themes in modern art and modern science—the concept of space, the notion of randomness, the shape of the cosmos, and other puzzles of the universe—while mapping convergences with the work of such artists as Paul Cezanne, Mark Rothko, Sol LeWitt, and Lee Krasner. Her account, focusing on questions she has investigated in her own scientific work, is illustrated by more than two hundred color images of artworks by modern and contemporary artists. Thus Marcolli finds in still life paintings broad and deep philosophical reflections on space and time, and connects notions of space in mathematics to works by Paul Klee, Salvador Dalí, and others. She considers the relation of entropy and art and how notions of entropy have been expressed by such artists as Hans Arp and Fernand Léger; and traces the evolution of randomness as a mode of artistic expression. She analyzes the relation between graphical illustration and scientific text, and offers her own watercolor-decorated mathematical notebooks. Throughout, she balances discussions of science with explorations of art, using one to inform the other. (She employs some formal notation, which can easily be skipped by general readers.) Marcolli is not simply explaining art to scientists and science to artists; she charts unexpected interdependencies that illuminate the universe.
Download or read book Exploring Mathematics written by Daniel Grieser and published by Springer. This book was released on 2018-05-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.
Download or read book Newsletter written by New Zealand Mathematical Society and published by . This book was released on 2002 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2009 with total page 2744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1975 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes articles, as well as notes and other features, about mathematics and the profession.
Download or read book Forthcoming Books written by Rose Arny and published by . This book was released on 2001-06 with total page 1736 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Twistor Theory written by S. A. Huggett and published by Cambridge University Press. This book was released on 1994 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolving from graduate lectures given in London and Oxford, this introduction to twistor theory and modern geometrical approaches to space-time structure will provide graduate students with the basics of twistor theory, presupposing some knowledge of special relativity and differenttial geometry.
Download or read book A Survey of Geometry written by Howard Whitley Eves and published by . This book was released on 2001* with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book In the Metro written by Marc Augé and published by U of Minnesota Press. This book was released on 2002 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tourists climb the Eiffel Tower to see Paris. Parisians know that to really see the city you must descend into the metro. In this revelatory book, Marc Auge takes readers below Paris in a work that is both an ethnography of the city and a personal narrative. Guiding us through history, memory, and physical space, Auge juxtaposes the romance of the metro with the reality of multiethnic urban France. His work is part autobiography, with impressions from a lifetime riding the trains; part meditation on self and memory reflected in the people and places underneath Paris; part analysis of a place where the third world and the first world meet, where remnants of cultures move and press together; and part a reflection on anthropology in an era of globalization and urban development. Although he is a pillar of French thought, In the Metro is Auge's first major critical and creative work translated into English. It shows him to be firmly rooted in a tradition of literary ethnography that reaches back to Claude Levi-Strauss and Michel de Certeau, but also engaged in current theoretical debates in literary and cultural studies. In Auge's idiosyncratic and innovative approach, the act of observing the quotidian is elevated to an art. The writer and his history become part of the field he observes, and anthropology interacts with a site -- urban life -- usually reserved for sociology and cultural studies. Throughout, Auge reveals a passion for his milieu, seeing the metro as a place rich with history and literature -- an eclectic egalitarian society.
Download or read book Discourse written by and published by . This book was released on 1998 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Experimenting on a Small Planet written by William W. Hay and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 999 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a thorough introduction to climate science and global change. The author is a geologist who has spent much of his life investigating the climate of Earth from a time when it was warm and dinosaurs roamed the land, to today's changing climate. Bill Hay takes you on a journey to understand how the climate system works. He explores how humans are unintentionally conducting a grand uncontrolled experiment which is leading to unanticipated changes. We follow the twisting path of seemingly unrelated discoveries in physics, chemistry, biology, geology, and even mathematics to learn how they led to our present knowledge of how our planet works. He explains why the weather is becoming increasingly chaotic as our planet warms at a rate far faster than at any time in its geologic past. He speculates on possible future outcomes, and suggests that nature itself may make some unexpected course corrections. Although the book is written for the layman with little knowledge of science or mathematics, it includes information from many diverse fields to provide even those actively working in the field of climatology with a broader view of this developing drama. Experimenting on a Small Planet is a must read for anyone having more than a casual interest in global warming and climate change - one of the most important and challenging issues of our time.
Download or read book Animal lives worth living written by Ruth C. Newberry and published by BRILL. This book was released on 2023-11-20 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this year’s congress is 'Animal lives worth living'. This theme focuses on our responsibility for all animals kept or influenced by humans, to ensure that we can provide a life for them that takes into account all relevant aspects of animal welfare, aided by applied ethology as the key scientific discipline. This not only means avoiding and alleviating suffering but also promoting resilience and positive experiences. By monitoring and interpreting animal behaviour, we gain important insights into each of these aspects of quality of life.
