Download or read book The Minimization of Surface Area of Soap Films and Soap Bubbles written by Siti Raudah Sabli and published by . This book was released on 2009 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Science of Soap Films and Soap Bubbles written by Cyril Isenberg and published by Courier Dover Publications. This book was released on 1992 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb treatment of molecular and macroscopic properties of soap films and bubbles, emphasizing solutions of physical problems. Over 120 black-and-white illustrations, 41 color photographs.
Download or read book The Mathematics of Soap Films Explorations with Maple written by John Oprea and published by American Mathematical Soc.. This book was released on 2000 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingredients from each of these subjects to tell the mathematical story of soap films. The text is fully self-contained, bringing together a mixture of types of mathematics along with a bit of the physics that underlies the subject. The development is primarily from first principles, requiring no advanced background material from either mathematics or physics. Through the Maple applications, the reader is given tools for creating the shapes that are being studied. Thus, you can "see" a fluid rising up an inclined plane, create minimal surfaces from complex variables data, and investigate the "true" shape of a balloon. Oprea also includes descriptions of experiments and photographs that let you see real soap films on wire frames. The theory of minimal surfaces is a beautiful subject, which naturally introduces the reader to fascinating, yet accessible, topics in mathematics. Oprea's presentation is rich with examples, explanations, and applications. It would make an excellent text for a senior seminar or for independent study by upper-division mathematics or science majors.
Download or read book Selected Works of Frederick J Almgren Jr written by Frederick J. Almgren and published by American Mathematical Soc.. This book was released on 1999 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a unique collection of some of the work of Frederick J. Almgren, Jr., the man most noted for defining the shape of geometric variational problems and for his role in founding The Geometry Center. Included in the volume are the following: a summary by Sheldon Chang of the famous 1700 page paper on singular sets of area-minimizing $m$-dimensional surfaces in $Rn$, a detailed summary by Brian White of Almgren's contributions to mathematics, his own announcements of several longer papers, important shorter papers, and memorable expository papers. Almgren's enthusiasm for the subject and his ability to locate mathematically beautiful problems that were "ready to be solved" attracted many students who further expanded the subject into new areas. Many of these former students are now known for the clarity of their expositions and for the beauty of the problems that they work on. As Almgren's former graduate student, wife, and colleague, Professor Taylor has compiled an important volume on an extraordinary mathematician. This collection presents a fine comprehensive view of the man's mathematical legacy
Download or read book Soap Bubbles Their Colours and the Forces which Mold Them written by Charles Vernon Boys and published by Courier Corporation. This book was released on 1959-01-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent primer and classic work on the topic of soap bubbles and films employs simple experiments to establish a practical basis for the existence and function of surface tension and energy minimization. Experiments require only soap, straws, and bits of rubber to impart profound fundamental concepts related to fluids. 83 illustrations. 1911 edition.
Download or read book Differential Geometry Partial Differential Equations on Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
Download or read book Soap Films and Bubbles written by Ann Wiebe and published by . This book was released on 1990 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides extensive explorations into the behavior of soap films.
Download or read book written by Dennis G. Zill and published by Jones & Bartlett Publishers. This book was released on 2009-12-21 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now with a full-color design, the new Fourth Edition of Zill's Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. New modern applications and engaging projects makes Zill's classic text a must-have text and resource for Engineering Math students!
Download or read book Soap Bubbles written by C. V. Boys and published by Courier Corporation. This book was released on 2013-04-09 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent primer and classic treatment employs simple experiments to establish a practical basis for the existence and function of surface tension and energy minimization. 83 illustrations. 1911 edition.
Download or read book Wonders Of Physics The 3rd Edition written by Andrey Varlamov and published by World Scientific Publishing Company. This book was released on 2012-03-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book in your hands develops the best traditions of Russian scientific popular literature. Written in a clear and captivating manner by working theoretical physicists, who are, at the same time, dedicated popularizers of scientific knowledge, it brings to the reader the latest achievements in quantum solid-state physics, but along the way also shows how the laws of physics reveal themselves even in seemingly trivial episodes concerning the natural phenomena around us. Most importantly, it shows that we live in a world where scientists are capable of “proving harmony with algebra”. — A A Abrikosov, 2003 Nobel Prize Winner in PhysicsThe third edition is considerably extended with three new chapters where the author discusses exciting examples of applications of recent achievements of physics in medicine, nanotechnologies, and physics in cuisine.
Download or read book Geometric Measure Theory written by Frank Morgan and published by Elsevier. This book was released on 2014-05-10 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Measure Theory: A Beginner's Guide provides information pertinent to the development of geometric measure theory. This book presents a few fundamental arguments and a superficial discussion of the regularity theory. Organized into 12 chapters, this book begins with an overview of the purpose and fundamental concepts of geometric measure theory. This text then provides the measure-theoretic foundation, including the definition of Hausdorff measure and covering theory. Other chapters consider the m-dimensional surfaces of geometric measure theory called rectifiable sets and introduce the two basic tools of the regularity theory of area-minimizing surfaces. This book discusses as well the fundamental theorem of geometric measure theory, which guarantees solutions to a wide class of variational problems in general dimensions. The final chapter deals with the basic methods of geometry and analysis in a generality that embraces manifold applications. This book is a valuable resource for graduate students, mathematicians, and research workers.
Download or read book Wonders Of Physics The 2nd Edition written by Lev G Aslamazov and published by World Scientific Publishing Company. This book was released on 2004-09-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book in your hands develops the best traditions of the Russian scientific popular literature. Written in a clear and captivating manner by working theoretical physicists, who are, at the same time, dedicated popularizers of scientific knowledge, it brings to the reader the latest achievements in quantum solid-state physics, but along the way it also shows how the laws of physics reveal themselves even in seemingly trivial episodes concerning the natural phenomena around us. And most importantly, it shows that we live in the world, where scientists are capable of “proving harmony with algebra”. — A A Abrikosov, 2003 Nobel Prize Winner in Physics
Download or read book Wonders Of Physics The 4th Edition written by Varlamov Andrey and published by World Scientific. This book was released on 2018-10-24 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The book in your hands develops the best traditions of the Russian scientific popular literature. Written in a clear and captivating manner by working theoretical physicists, who are, at the same time, dedicated popularizers of scientific knowledge, it brings to the reader the latest achievements in quantum solid-state physics, but along the way it also shows how the laws of physics reveal themselves even in seemingly trivial episodes concerning the natural phenomena around us. And most importantly, it shows that we live in the world, where scientists are capable of 'proving harmony with algebra.' — A A Abrikosov, 2003 Nobel Prize Winner in Physics
Download or read book The Wonders of Physics written by Lev Grigor?evich Aslamazov and published by World Scientific. This book was released on 2004 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book in your hands develops the best traditions of the Russian scientific popular literature. Written in a clear and captivating manner by working theoretical physicists, who are, at the same time, dedicated popularizers of scientific knowledge, it brings to the reader the latest achievements in quantum solid-state physics, but along the way it also shows how the laws of physics reveal themselves even in seemingly trivial episodes concerning the natural phenomena around us. And most importantly, it shows that we live in the world, where scientists are capable of ?proving harmony with algebra?. ? A A Abrikosov, 2003 Nobel Prize Winner in Physics
Download or read book Statistical Thermodynamics and Differential Geometry of Microstructured Materials written by H.Ted Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substances possessing heterogeneous microstructure on the nanometer and micron scales are scientifically fascinating and technologically useful. Examples of such substances include liquid crystals, microemulsions, biological matter, polymer mixtures and composites, vycor glasses, and zeolites. In this volume, an interdisciplinary group of researchers report their developments in this field. Topics include statistical mechanical free energy theories which predict the appearance of various microstructures, the topological and geometrical methods needed for a mathematical description of the subparts and dividing surfaces of heterogeneous materials, and modern computer-aided mathematical models and graphics for effective exposition of the salient features of microstructured materials.
Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Basic Books. This book was released on 2010-09-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.
Download or read book Design for Additive Manufacturing written by Martin Leary and published by Elsevier. This book was released on 2019-12-03 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design for Additive Manufacturing is a complete guide to design tools for the manufacturing requirements of AM and how they can enable the optimization of process and product parameters for the reduction of manufacturing costs and effort. This timely synopsis of state-of-the-art design tools for AM brings the reader right up-to-date on the latest methods from both academia and industry. Tools for both metallic and polymeric AM technologies are presented and critically reviewed, along with their manufacturing attributes. Commercial applications of AM are also explained with case studies from a range of industries, thus demonstrating best-practice in AM design. Covers all the commonly used tools for designing for additive manufacturing, as well as descriptions of important emerging technologies Provides systematic methods for optimizing AM process selection for specific production requirement Addresses design tools for both metallic and polymeric AM technologies Includes commercially relevant case studies that showcase best-practice in AM design, including the biomedical, aerospace, defense and automotive sectors
