1.

Record Nr.

UNISA996466771503316

Autore

Herzberg Frederik S

Titolo

Stochastic Calculus with Infinitesimals [[electronic resource] /] / by Frederik S. Herzberg

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013

ISBN

3-642-33149-1

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (XVIII, 112 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2067

Disciplina

511.3

Soggetti

Mathematical logic

Probabilities

Economic theory

Game theory

Mathematical physics

Mathematical Logic and Foundations

Probability Theory and Stochastic Processes

Economic Theory/Quantitative Economics/Mathematical Methods

Game Theory, Economics, Social and Behav. Sciences

Mathematical Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p.107-110) and index.

Nota di contenuto

1 Infinitesimal calculus, consistently and accessibly -- 2 Radically elementary probability theory -- 3 Radically elementary stochastic integrals -- 4 The radically elementary Girsanov theorem and the diffusion invariance principle -- 5 Excursion to nancial economics: A radically elementary approach to the fundamental theorems of asset pricing -- 6 Excursion to financial engineering: Volatility invariance in the Black-Scholes model -- 7 A radically elementary theory of Itô diffusions and associated partial differential equations -- 8 Excursion to mathematical physics: A radically elementary definition of Feynman path integrals -- 9 A radically elementary theory of Lévy processes -- 10 Final remarks.

Sommario/riassunto

Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential



geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. Nelson's "radically elementary" theory of continuous-time stochastic processes, it is based on a demonstrably consistent use of infinitesimals and thus permits a radically simplified, yet perfectly rigorous approach to stochastic calculus and its fascinating applications, some of which (notably the Black-Scholes theory of option pricing and the Feynman path integral) are also discussed in the book.

2.

Record Nr.

UNISA996393530503316

Autore

Cave William <1637-1713.>

Titolo

Antiquitates apostolicæ, or, The lives, acts, and martyrdoms of the holy apostles of our Saviour [[electronic resource] ] : to which are added the lives of the two evangelists, SS. Mark and Luke : as also a brief enumeration and account of the apostles and their successours for the first three hundred years in the five great apostolical churches / / by William Cave .

Pubbl/distr/stampa

London, : Printed by M. Flesher for R. Royston ..., 1684

Descrizione fisica

[8], xiv, 188 [i.e. 182] p. : ill

Soggetti

Apostles

Apostolic succession

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Also appears in: Antiquitates Christianae / Jeremy Taylor. London, 1678. Cf. BM.

Incorrectly identified as Wing C1589 in reel guide.

Some pages are stained and have print show-through; p. 160 is torn; p. 187-188 are creased in filmed copy.  Pages 160-end are photographed from Harvard University Libraries copy and inserted at the end.

Errata: p. 188 [i.e. 182].



Reproduction of original in Union Theological Seminary Library, New York.

Marginal notes.

"Diptycha Apostolica, or, A brief enumeration and account of the Apostles and their successors": p. 183 [i.e. 177].

Sommario/riassunto

eebo-0160

3.

Record Nr.

UNINA9910345142803321

Autore

Stout Jeffrey

Titolo

Democracy and tradition / / Jeffrey Stout

Pubbl/distr/stampa

Princeton, NJ ; ; Woodstock, : Princeton University Press, 2005

ISBN

1-282-12944-9

9786612129445

1-4008-2586-5

Edizione

[1st ed.]

Descrizione fisica

1 online resource (367 p.)

Collana

New forum books

Disciplina

321.8

Soggetti

Religion and politics - United States

Democracy - Religious aspects

Democracy - United States

United States Religion

United States Politics and government

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Originally published, 2004.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- CONTENTS -- Acknowledgments -- INTRODUCTION -- PART ONE: The Question of Character -- CHAPTER 1. Character and Piety from Emerson to Dewey -- CHAPTER 2. Race and Nation in Baldwin and Ellison -- PART TWO: Religious Voices in a Secular Society -- CHAPTER 3. Religious Reasons in Political Argument -- CHAPTER 4. Secularization and Resentment -- CHAPTER 5. The New Traditionalism -- CHAPTER 6. Virtue and the Way of the World -- CHAPTER 7. Between Example and Doctrine -- PART THREE: A Conditioned Rectitude -- CHAPTER 8. Democratic Norms in the Age of Terrorism -- CHAPTER 9.



The Emergence of Modern Democratic Culture -- CHAPTER 10. The Ideal of a Common Morality -- CHAPTER 11. Ethics without Metaphysics -- CHAPTER 12. Ethics as a Social Practice -- CONCLUSION -- Notes -- Index

Sommario/riassunto

Do religious arguments have a public role in the post-9/11 world? Can we hold democracy together despite fractures over moral issues? Are there moral limits on the struggle against terror? Asking how the citizens of modern democracy can reason with one another, this book carves out a controversial position between those who view religious voices as an anathema to democracy and those who believe democratic society is a moral wasteland because such voices are not heard. Drawing inspiration from Whitman, Dewey, and Ellison, Jeffrey Stout sketches the proper role of religious discourse in a democracy. He discusses the fate of virtue, the legacy of racism, the moral issues implicated in the war on terrorism, and the objectivity of ethical norms. Against those who see no place for religious reasoning in the democratic arena, Stout champions a space for religious voices. But against increasingly vocal antiliberal thinkers, he argues that modern democracy can provide a moral vision and has made possible such moral achievements as civil rights precisely because it allows a multitude of claims to be heard. Stout's distinctive pragmatism reconfigures the disputed area where religious thought, political theory, and philosophy meet. Charting a path beyond the current impasse between secular liberalism and the new traditionalism, Democracy and Tradition asks whether we have the moral strength to continue as a democratic people as it invigorates us to retrieve our democratic virtues from very real threats to their practice.