John Toland

A national bestseller with more than 370,000 copies in print, this is "the first book that anyone who wants to learn about Hitler or the war in Europe must read... a marvel of fact."--Newsweek

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabinowitz's dichotomy and classical results on Peano continua, the authors introduce "congestion points"—where connected sets fail to be weakly locally connected—and examine the extent to which their presence is compatible with path-connectedness. Through rigorous analysis and examples, the book provides new insights into global bifurcations. Structured into seven chapters, the book begins with an introduction to global bifurcation theory and foundational concepts in set theory and metric spaces. Subsequent chapters delve into connectedness, local connectedness, and congestion points, culminating in the construction of intricate examples that highlight the complexities of solution sets. The authors' careful selection of material and fluent writing style make this work a valuable resource for PhD students and experts in functional analysis and bifurcation theory.

In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,?)* with Lq(X,L,?), where 1/p+1/q=1, as long as 1 = pL8(X,L,?)* cannot be similarly described, and is instead represented as a class of finitely additive measures.This book provides a reasonably elementary account of the representation theory of L8(X,L,?)*, examining pathologies and paradoxes, and uncovering some surprising consequences. For instance, a necessary and sufficient condition for a bounded sequence in L8(X,L,?) to be weakly convergent, applicable in the one-point compactification of X, is given.With a clear summary of prerequisites, and illustrated by examples including L8(Rn) and the sequence space l8, this book makes possibly unfamiliar material, some of which may be new, accessible to students and researchers in the mathematical sciences.

A FICTION HOUSE PRESS BOOK: DREAM WORLD was an experiment by Ziff-Davis Publishing Company and the editors of AMAZING STORIES and FANTASTIC. For three issues in 1957 it lasted before the plug was pulled on the experi-ment. Prior to that, two complete issues of FANTASTIC were devoted to "Dream World" stories, as well as two others stories in another issue. From 1955 and 1956, we present most of those stories.

Rabinowitz's classical global bifurcation theory, which concerns the study in-the-large of parameter-dependent families of nonlinear equations, uses topological methods that address the problem of continuous parameter dependence of solutions by showing that there are connected sets of solutions of global extent. Even when the operators are infinitely differentiable in all the variables and parameters, connectedness here cannot in general be replaced by path-connectedness. However, in the context of real-analyticity there is an alternative theory of global bifurcation due to Dancer, which offers a much stronger notion of parameter dependence. This book aims to develop from first principles Dancer's global bifurcation theory for one-parameter families of real-analytic operators in Banach spaces. It shows that there are globally defined continuous and locally real-analytic curves of solutions. In particular, in the real-analytic setting, local analysis can lead to global consequences--for example, as explained in detail here, those resulting from bifurcation from a simple eigenvalue. Included are accounts of analyticity and implicit function theorems in Banach spaces, classical results from the theory of finite-dimensional analytic varieties, and the links between these two and global existence theory. Laying the foundations for more extensive studies of real-analyticity in infinite-dimensional problems and illustrating the theory with examples, Analytic Theory of Global Bifurcation is intended for graduate students and researchers in pure and applied analysis.

J. Tolandi Dissertationes Duae, Aedeisidaemon Et Origines Judaicae... presents two dissertations by the influential Irish deist philosopher John Toland, written in Latin. "Aedeisidaemon" explores Toland's unique perspective on superstition and its origins, offering insights into his broader philosophical project of promoting reason and challenging traditional religious beliefs. "Origines Judaicae" delves into the historical origins of Judaism, reflecting Toland's interest in historical criticism and his desire to understand the development of religious thought. This work showcases Toland's erudition and his commitment to Enlightenment ideals. It remains a significant text for scholars of 18th-century philosophy, religious history, and the development of deism. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Ami Lecteur, je vous pr sente la Formule d'une nouvelle Soci t , par le moyen de laquelle vous pouvez devenir meilleur et plus sage, et qui vous rendra toujours joyeux et souverainement content. L'envie que j'ai de rendre service au Genre humain et mon attachement pour la V rit ternelle ont galement contribu m'y engager. Il n'est point de mon int r t de dire par quel hasard et par les soins de qui cet ouvrage est mis en lumi re, et il vous importe peu de le savoir. Il faut juger de ces sortes de mati res par elles-m mes, tant incapables d'acqu rir par des secours trangers un nouveau prix ni une plus grande autorit . Le commun des hommes s'oppose la science et poursuit ses sectateurs; mais, comme l'enseigne fort bien S n que, rien n'est plus raisonnable que de ne pas suivre aveugl ment, et comme font les b tes, ceux qui marchent devant nous, car cela nous m ne non pas o il faut aller, mais o vont les autres... Pour vous, Ami lecteur - si vous voulez avoir pour guide la raison et non pas la coutume - vous verrez au-dessous de vous tous les v nements qui arrivent aux hommes. Ou du moins vous supporterez d'un esprit gal et tranquille votre sort quel qu'il soit; vous bannirez la folle ambition et l'envie qui ronge l' me; vous m priserez les honneurs p rissables, sachant que vous devez vous-m me p rir sous peu; vous m nerez une vie contente et tranquille, sans admiration et sans horreur pour rien (...) et je n'aurai plus vous souhaiter que de la sant et de la sagesse, lorsque vous aurez connu que cette description de notre Soci t n'est point th ologique, mais philosophique; car c'est une chose tr s diff rente que d'expliquer la Nature ou d'enseigner une religion. (Janus Junius Eoganesius - John Toland)

Libre-penseur, John Toland obligea, par sa philosophie rationaliste, prendre s rieusement en consid ration les questions que pose le canon biblique. N le 30 novembre 1670 dans le comt de Donegal, en Irlande, John Toland est lev dans la foi catholique, mais se convertit l'anglicanisme avant l' ge de vingt ans. Il fr quente les universit s de Glasgow, d' dimbourg, de Leiden et d'Oxford entre 1687 et 1695. En 1696, il publie le c l bre Christianity Not Mysterious (Le Christianisme sans myst res), dans lequel il s'efforce de montrer qu'il n'est pas n cessaire de croire dans certaines doctrines bibliques pour les comprendre mais qu'au contraire elles sont parfaitement intelligibles pour la raison humaine sans l'aide d'aucune r v lation divine. L'ouvrage d clenche un flot de protestations, et Toland est traduit en justice dans le Middlesex. Apr s s' tre enfui Dublin, le th ologien apprend que le Parlement irlandais condamn son texte et ordonn son arrestation. Toland se r signe donc rentrer en Angleterre. Le Christianisme sans myst res est la premi re oeuvre publi e de John Toland. OEuvre scandale, ce texte entrem le les poncifs de l'anticl ricalisme et de la libre-pens e aux principes de la critique biblique arminienne et ceux de la no tique lockienne, pour d montrer que rien, dans la r v lation chr tienne, ne saurait tre tenu pour contraire ou au-dessus de la raison. Le Christianisme sans myst res ouvre l'importante s rie des oeuvres critiques de Toland concernant le christianisme primitif, mais il pose aussi, indissociablement, les principes d'une d fense politique, religieuse et philosophique de l'h t rodoxie.

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.