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Author: Brian Conrad
Publisher: Springer
ISBN: 354040015X
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory.
Author: Brian Conrad
Publisher: Springer
ISBN: 354040015X
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory.
Author: Richard Zindell
Publisher: AuthorHouse
ISBN: 1463420730
Category : Science
Languages : en
Pages : 70
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Book Description
Every generation marvels at the complexity of our universe. Each of us has to decide whether present scientific theories adequately explains the way nature works and how the panoramic view of the heavens on display each night came to be. The ongoing discovery of new data from more precise instrumentation, forces ongoing change to all current theories. We need to take a closer look at exactly what nature has to work with. All that our senses allow us to experience comes from the interactions of nature's fundamental duality.
Author: Ramesh S. Balsekar
Publisher: Watkins Media Limited
ISBN: 1780282451
Category : Body, Mind & Spirit
Languages : en
Pages : 273
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Book Description
Balsekar's wisdom presented in his modern, eloquent, and often amusing style is so straight-forward and easy to understand that he banishes confusion!
Author: Patrick Harpur
Publisher: Random House
ISBN: 1407063294
Category : Psychology
Languages : en
Pages : 258
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Book Description
Who am I? What's my life's purpose? Where am I going when I die? These questions lie at the heart of all our lives, yet clear answers seem hard to come by. A Complete Guide to the Soul explains that answers can in fact be found in a secret history that runs like quicksilver through Western culture, from philosophy and alchemy, to poetry and modern psychology. This hidden tradition places our soul at the centre of the universe and shows us how to recover a sense of meaning that so many of us have lost today. In this important book, Patrick Harpur explores the nature of our soul, as well as its destiny. He unpacks the myths that surround it and shows how it may actually be the very fabric of reality. And he explains that, not until we have a clear understanding of this invisible part of ourselves, can we discover the answers to many of our questions about existence and human nature. Ultimately, this knowledge could help us find our true place within the world in which we live.
Author: Evgueni A. Tevelev
Publisher: Springer Science & Business Media
ISBN: 3540269576
Category : Mathematics
Languages : en
Pages : 257
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Book Description
Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the appearance of a book specifically devoted to projective duality is a long-awaited and welcome event. Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and from topology to the theory of algebras. It gives a very readable and thorough account and the presentation of the material is clear and convincing. For the most part of the book the only prerequisites are basic algebra and algebraic geometry. This book will be of great interest to graduate and postgraduate students as well as professional mathematicians working in algebra, geometry and analysis.
Author: Fabio Silva Botelho
Publisher: CRC Press
ISBN: 1003848478
Category : Mathematics
Languages : en
Pages : 295
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Book Description
The book includes theoretical and applied results of a generalization of the numerical method of lines. A Ginzburg-Landau type equation comprises the initial application, with detailed explanations about the establishment of the general line expressions. Approximate numerical procedures have been developed for a variety of equation types, including the related algorithms and software. The applications include the Ginzburg-Landau system in superconductivity, applications to the Navier-Stokes system in fluid mechanics and, among others, models in flight mechanics. In its second and final parts, the book develops duality principles and numerical results for other similar and related models. The book is meant for applied mathematicians, physicists and engineers interested in numerical methods and concerning duality theory. It is expected the text will serve as a valuable auxiliary project tool for some important engineering and physics fields of research.
Author: I. M. James
Publisher: Elsevier
ISBN: 1483184773
Category : Mathematics
Languages : en
Pages : 364
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Book Description
Algebraic and Classical Topology contains all the published mathematical work of J. H. C. Whitehead, written between 1952 and 1960. This volume is composed of 21 chapters, which represent two groups of papers. The first group, written between 1952 and 1957, is principally concerned with fiber spaces and the Spanier-Whitehead S-theory. In the second group, written between 1957 and 1960, Whitehead returns to classical topology after a long interval, and participates in the renewed assault on the problems which fascinated him most. This book will prove useful to mathematicians.
Author: Anna Brożek
Publisher: BRILL
ISBN: 9004312676
Category : Philosophy
Languages : en
Pages : 403
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Book Description
Izydora Dąmbska (1904-1982) was a Polish philosopher; a student of Kazimierz Twardowski, and his last assistant. Her output consists of almost 300 publications. The main domains of her research were semiotics, epistemology and broadly understood methodology as well as axiology and history of philosophy. Dąmbska’s approach to philosophical problems reflected tendencies that were characteristic of the Lvov-Warsaw School. She applied high methodological standards but has never limited the domain of analyzed problems in advance. The present volume includes twenty-eight translations of her representative papers. As one of her pupils rightly wrote: “Dąmbska’s works may help everyone [...] to think clearly. Her attitude of an unshaken philosopher may help anyone to hold oneself straight, and, if necessary, to get up after a fall”.
Author: Josef Bláha
Publisher: Marek Konecný
ISBN: 8026039017
Category : Cabala
Languages : en
Pages : 447
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Book Description
"This book deals with the Kabbalah and also with Hebrew literature and poetry. The book also deals with modern issues of philosophy, Levinas and Heidegger, and the relationship between philosophy and Kabbalah"--back cover.
Author: Paul Richard Steele
Publisher: Bloomsbury Publishing USA
ISBN: 1851096213
Category : Social Science
Languages : en
Pages : 336
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Book Description
The first introduction to the Incas and their myths aimed at students and general readers, bringing together a wealth of information into one convenient resource. Full of hard to find information, Handbook of Inca Mythology provides an accessible introduction to the rites, beliefs, and spiritual tales of the Incas. It provides a concise overview of Incan civilization and mythology, a chronology of mythic and historical events, and an A–Z inventory of central themes (sacrifice, fertility, competition, reversaldualism, colors, constellations, giants, and miniatures), personages (Viracocha, Manco Capac, Pachackuti Inca), locations (Lake Titicaca, Corickancha), rituals, and icons. The last Native American culture to develop free of European influence, the Incas, who had no written language, are known only from Spanish accounts written after the conquest and archaeological finds. From these fragments, a vanished world has been reborn and reintroduced into modern Andean life. There is no better way into that world and its mind-bending mythology than this unique handbook.
