Download or read book Geometry and Monadology written by Vincenzo de Risi and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reconstructs, from both historical and theoretical points of view, Leibniz’s geometrical studies, focusing in particular on the research Leibniz carried out in his final years. The work’s main purpose is to offer a better understanding of the philosophy of space and in general of the mature Leibnizean metaphysics. This is the first ever, comprehensive historical reconstruction of Leibniz’s geometry.
Download or read book Papers on Topology written by and published by American Mathematical Soc.. This book was released on with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Arithmetic Treatment of Some Problems in Analysis Situs written by Lewis Darwin Ames and published by . This book was released on 1905 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology I written by S.P. Novikov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research.
Download or read book Analysis Situs written by Oswald Veblen and published by . This book was released on 1931 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Analysis situs' is the name used by Poincaré when he was creating, at the end of the 19th century, the area of mathematics known today as topology. These lectures contain what is probably the first text where Poincaré's results and ideas were summarized, and an attempt to systematically present this difficult new area of mathematics was made. Of the two streams of topology existing at that time, point set topology and combinatorial topology, it is the latter to which this book is almost totally devoted. The first four chapters present, in detail, the notion and properties (introduced by Poincaré) of the incidence matrix of a cell decomposition of a manifold. The author's main goal is to show how to reproduce main topological invariants of a manifold and their relations in terms of the incidence matrix.
Download or read book Topology and Geometry written by Glen E. Bredon and published by Springer Science & Business Media. This book was released on 1993-06-24 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
Download or read book Logic and Metaphysics written by Gottfried Martin and published by Manchester University Press. This book was released on with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of Topology written by I.M. James and published by Elsevier. This book was released on 1999-08-24 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
Download or read book The Analysis of Matter written by Bertrand Russell and published by . This book was released on 1927 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Counterexamples in Analysis written by Bernard R. Gelbaum and published by Courier Corporation. This book was released on 2012-07-12 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
Download or read book The Americana written by Frederick Converse Beach and published by . This book was released on 1906 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Space Time Matter written by Hermann Weyl and published by . This book was released on 1922 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Final Thoughts written by Kushal Garg and published by BEYOND BOOKS HUB. This book was released on 2024-10-21 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Final Thoughts (Illustrated) by Henri Poincaré invites readers on a captivating journey through the mind of one of history's greatest intellectuals. Henri Poincaré, renowned for his contributions to mathematics, physics, and philosophy, offers profound insights into the nature of existence and the universe itself. In this illustrated edition, Poincaré's timeless reflections are accompanied by stunning visuals that illuminate his complex ideas. Through elegant prose and captivating imagery, he delves into the mysteries of time, space, and the human condition, inviting readers to contemplate the profound questions that have puzzled humanity for centuries. From the nature of reality to the limits of human knowledge, each chapter of Final Thoughts offers a thought-provoking exploration of the fundamental principles that govern the cosmos. Poincaré's profound wisdom and keen intellect shine through on every page, offering readers a deeper understanding of the universe and their place within it. Whether you're a scholar, a philosopher, or simply a curious seeker of truth, Final Thoughts is sure to inspire and enlighten. Let its illustrated pages be your guide as you embark on a journey of intellectual discovery and contemplation. Embark on a journey of intellectual exploration with Final Thoughts by Henri Poincaré. Let its illustrated pages ignite your curiosity and expand your understanding of the universe and the mysteries that lie within.
Download or read book Complex Integration and Cauchy s Theorem written by G. N. Watson and published by . This book was released on 1914 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1914, this book provides a concise proof of Cauchy's Theorem, with applications of the theorem to the evaluation of definite integrals.
Download or read book Philosophical Papers and Letters written by G.W. Leibniz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The selections contained in these volumes from the papers and letters of Leibniz are intended to serve the student in two ways: first, by providing a more adequate and balanced conception of the full range and penetration of Leibniz's creative intellectual powers; second, by inviting a fresher approach to his intellectual growth and a clearer perception of the internal strains in his thinking, through a chronological arrangement. Much confusion has arisen in the past through a neglect of the develop ment of Leibniz's ideas, and Couturat's impressive plea, in his edition of the Opuscu/es et fragments (p. xii), for such an arrangement is valid even for incomplete editions. The beginning student will do well, however, to read the maturer writings of Parts II, III, and IV first, leaving Part I, from a period too largely neglected by Leibniz criticism, for a later study of the still obscure sources and motives of his thought. The Introduction aims primarily to provide cultural orientation and an exposition of the structure and the underlying assumptions of the philosophical system rather than a critical evaluation. I hope that together with the notes and the Index, it will provide those aids to the understanding which the originality of Leibniz's scientific, ethical, and metaphysical efforts deserve.
Download or read book Proceedings of the London Mathematical Society written by London Mathematical Society and published by . This book was released on 1900 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Electromagnetic and Photonic Simulation for the Beginner Finite Difference Frequency Domain in MATLAB written by Raymond C. Rumpf and published by Artech House. This book was released on 2022-01-31 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book teaches the finite-difference frequency-domain (FDFD) method from the simplest concepts to advanced three-dimensional simulations. It uses plain language and high-quality graphics to help the complete beginner grasp all the concepts quickly and visually. This single resource includes everything needed to simulate a wide variety of different electromagnetic and photonic devices. The book is filled with helpful guidance and computational wisdom that will help the reader easily simulate their own devices and more easily learn and implement other methods in computational electromagnetics. Special techniques in MATLAB® are presented that will allow the reader to write their own FDFD programs. Key concepts in electromagnetics are reviewed so the reader can fully understand the calculations happening in FDFD. A powerful method for implementing the finite-difference method is taught that will enable the reader to solve entirely new differential equations and sets of differential equations in mere minutes. Separate chapters are included that describe how Maxwell’s equations are approximated using finite-differences and how outgoing waves can be absorbed using a perfectly matched layer absorbing boundary. With this background, a chapter describes how to calculate guided modes in waveguides and transmission lines. The effective index method is taught as way to model many three-dimensional devices in just two-dimensions. Another chapter describes how to calculate photonic band diagrams and isofrequency contours to quickly estimate the properties of periodic structures like photonic crystals. Next, a chapter presents how to analyze diffraction gratings and calculate the power coupled into each diffraction order. This book shows that many devices can be simulated in the context of a diffraction grating including guided-mode resonance filters, photonic crystals, polarizers, metamaterials, frequency selective surfaces, and metasurfaces. Plane wave sources, Gaussian beam sources, and guided-mode sources are all described in detail, allowing devices to be simulated in multiple ways. An optical integrated circuit is simulated using the effective index method to build a two-dimensional model of the 3D device and then launch a guided-mode source into the circuit. A chapter is included to describe how the code can be modified to easily perform parameter sweeps, such as plotting reflection and transmission as a function of frequency, wavelength, angle of incidence, or a dimension of the device. The last chapter is advanced and teaches FDFD for three-dimensional devices composed of anisotropic materials. It includes simulations of a crossed grating, a doubly-periodic guided-mode resonance filter, a frequency selective surface, and an invisibility cloak. The chapter also includes a parameter retrieval from a left-handed metamaterial. The book includes all the MATLAB codes and detailed explanations of all programs. This will allow the reader to easily modify the codes to simulate their own ideas and devices. The author has created a website where the MATLAB codes can be downloaded, errata can be seen, and other learning resources can be accessed. This is an ideal book for both an undergraduate elective course as well as a graduate course in computational electromagnetics because it covers the background material so well and includes examples of many different types of devices that will be of interest to a very wide audience.
