Lattice Theory: Foundation

Lattice Theory: Foundation
Author: George Grätzer
Publisher: Springer Science & Business Media
Total Pages: 639
Release: 2011-02-14
Genre: Mathematics
ISBN: 3034800185

This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 “diamond sections’’, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. “Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication.” Bulletin of the American Mathematical Society “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews

A Basis Theory Primer

A Basis Theory Primer
Author: Christopher Heil
Publisher: Springer Science & Business Media
Total Pages: 549
Release: 2011
Genre: Mathematics
ISBN: 0817646868

This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.

The Annenbergs

The Annenbergs
Author: John E. Cooney
Publisher: Simon & Schuster
Total Pages: 456
Release: 1982
Genre: Biography & Autobiography
ISBN:

"This is the colorful and dramatic biography of two of America's most controversial entrepreneurs: Moses Louis Annenberg, 'the racing wire king, ' who built his fortune in racketeering, invested it in publishing, and lost much of it in the biggest tax evasion case in United States history; and his son, Walter, launcher of TV Guide and Seventeen magazines and former ambassador to Great Britain."--Jacket.

Classical Mechanics

Classical Mechanics
Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
Total Pages: 364
Release: 2010-10-17
Genre: Mathematics
ISBN: 0817646485

* Offers a rigorous mathematical treatment of mechanics as a text or reference * Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles * Employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst behind new concepts and discoveries

Coherent Analytic Sheaves

Coherent Analytic Sheaves
Author: H. Grauert
Publisher: Springer Science & Business Media
Total Pages: 267
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642695825

... Je mehr ich tiber die Principien der Functionentheorie nachdenke - und ich thue dies unablassig -, urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C.R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E.N.S

A Mathematical Medley

A Mathematical Medley
Author: George Szpiro
Publisher: American Mathematical Soc.
Total Pages: 250
Release: 2010
Genre: Mathematics
ISBN: 082184928X

Describes in layman's terms mathematical problems that have recently been solved (or thought to have been solved), research that has been published in scientific journals, and mathematical observations about contemporary life. Anecdotal stories about the lives of mathematicians and stories about famous old problems are interspersed among other vignettes.

A Companion to Friedrich Nietzsche

A Companion to Friedrich Nietzsche
Author: Paul Bishop
Publisher: Camden House
Total Pages: 464
Release: 2012
Genre: Biography & Autobiography
ISBN: 1571133275

An advanced introduction for students and a re-orientation for Nietzsche scholars and intellectual historians on the development of his thought and the aesthetic construction of his identity as a philosopher. Nietzsche looms over modern literature and thought; according to Gottfried Benn, "everything my generation discussed, thought through innerly; one could say: suffered; or one could even say: took to the point of exhaustion -- allof it had already been said . . . by Nietzsche; all the rest was just exegesis." Nietzsche's influence on intellectual life today is arguably as great; witness the various societies, journals, and websites and the steady stream ofpapers, collections, and monographs. This Companion offers new essays from the best Nietzsche scholars, emphasizing the interrelatedness of his life and thought, eschewing a superficial biographical method but taking seriously his claim that great philosophy is "the self-confession of its author and a kind of unintended and unremarked memoir." Each essay examines a major work by Nietzsche; together, they offer an advanced introduction for students of German Studies, philosophy, and comparative literature as well as for the lay reader. Re-establishing the links between Nietzsche's philosophical texts and their biographical background, the volume alerts Nietzschescholars and intellectual historians to the internal development of his thought and the aesthetic construction of his identity as a philosopher. Contributors: Ruth Abbey, Keith Ansell-Pearson, Rebecca Bamford, Paul Bishop, Thomas H. Brobjer, Daniel W. Conway, Adrian Del Caro, Carol Diethe, Michael Allen Gillespie and Keegan F. Callanan, Laurence Lampert, Duncan Large, Martin Liebscher, Martine Prange, Alan D. Schrift. Paul Bishop is William Jacks Chair of Modern Languages at the University of Glasgow.

Seminar on the Atiyah-Singer Index Theorem

Seminar on the Atiyah-Singer Index Theorem
Author: Michael Francis Atiyah
Publisher: Princeton University Press
Total Pages: 384
Release: 1965-09-21
Genre: Mathematics
ISBN: 9780691080314

A classic treatment of the Atiyah-Singer index theorem from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Distributions

Distributions
Author: J.J. Duistermaat
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2010-08-09
Genre: Mathematics
ISBN: 0817646752

This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.

Handbook of Research on Venture Capital

Handbook of Research on Venture Capital
Author: Hans Landstr”m
Publisher: Edward Elgar Publishing
Total Pages: 305
Release: 2012-01-01
Genre: Business & Economics
ISBN: 1781009112

ÔThis exciting second volume of cutting-edge research on venture capital takes up where volume one leaves off, bringing greater depth to topics covered in the first volume (such as angel investing) and adding new topics and insights. It poses interesting questions such as Ð Is venture capital in crisis? Are new models of early investing needed? Ð and offers carefully researched answers. Landstršm and Mason provide insightful commentary and skillfully pinpoint the contributions of a talented set of researchers. Both scholars and practitioners of venture capital will want to read this book.Õ Ð Harry J. Sapienza, University of Minnesota, US ÔThe second edition of the Handbook of Research on Venture Capital provides an important guidepost for venture capital researchers. As Landstršm and Mason point out, the nature of venture capital has changed dramatically over the last ten years. The asset class as a whole has failed to return principal and the old model is under tremendous strain. The contributors nicely highlight many of these changes, especially how venture capital has scaled beyond the US. For those of us active in venture capital research, the chapters raise many interesting research questions that deserve further attention.Õ Ð Andrew Zacharakis, Babson College, US This Handbook charts the development of venture capital research in light of the global financial crisis, starting with an analysis of the current venture capital market and the changing nature of the business angel market. Looking at governance structures, the performance of venture capitalists in terms of investments, economic impact and human capital, and the geographical organization of business angels and venture capital global ÔhotspotsÕ, this book also analyses the current state of venture capital research and offers a roadmap for the future.