Roman Sikorski's Books

Boolean Algebras

By: Roman Sikorski

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There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the develop ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [1]. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs.

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Page Count

248

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642858201

ISBN 13

9783642858208

The Gniezno Summit

The Religious Premises of the Founding of the Archbishopric of Gniezno

By: Roman Michałowski

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The Gniezno Summit

The Religious Premises of the Founding of the Archbishopric of Gniezno

By: Roman Michałowski

In The Gniezno Summit Roman Michałowski analyses the reasons behind the founding of the Archbishopric of Gniezno during Otto III’s encounter with Bolesław Chrobry in Gniezno in 1000. For Michałowski there were two main reasons. One was the martyrdom of St. Adalbert, the Apostle of the Prussians. His body was buried in Gniezno, which put the Gniezno bishopric on a par with bishoprics founded by the Apostles. This was an important argument in favour of Gniezno being raised to the rank of archbishopric. The other reason was Otto III’s spirituality. The emperor was fascinated with the idea of asceticism and abandoning the world. Hence his political programme, the Renovatio Imperii Romanorum, also had religious aims, and Otto tried to support missions among the pagans. To that end he needed an archbishopric on the north-eastern outskirts of the Empire.

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405

Publisher

BRILL

Published Date

ISBN 10

9004317511

ISBN 13

9789004317512

The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland

By: Roman Murawski

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The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland

By: Roman Murawski

The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophical reflection. We try to answer those questions by analyzing both works of Polish logicians and mathematicians who have a philosophical temperament as well as their research practice. Works and philosophical views of the following Polish scientists will be analyzed: Wacław Sierpiński, Zygmunt Janiszewski, Stefan Mazurkiewicz, Stefan Banach Hugo Steinhaus, Eustachy Żylińsk and Leon Chwistek, Jan Łukasiewicz, Zygmunt Zawirski, Stanisław Leśniewski, Tadeusz Kotarbiński, Kazimierz Ajdukiewicz, Alfred Tarski, Andrzej Mostowski and Henryk Mehlberg, Jan Sleszyński, Stanisław Zaremba and Witold Wilkosz. To indicate the background of scientists being active in the 1920s and 1930s we consider in Chapter 1 some predecessors, in particular: Jan Śniadecki, Józef Maria Hoene-Wroński, Samuel Dickstein and Edward Stamm.

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Page Count

235

Publisher

Springer

Published Date

ISBN 10

3034808313

ISBN 13

9783034808316

Pearls from a Lost City

The Lvov School of Mathematics

By: Roman Duda

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Pearls from a Lost City

The Lvov School of Mathematics

By: Roman Duda

The fame of the Polish school at Lvov rests with the diverse and fundamental contributions of Polish mathematicians working there during the interwar years. In particular, despite material hardship and without a notable mathematical tradition, the school made major contributions to what is now called functional analysis. The results and names of Banach, Kac, Kuratowski, Mazur, Nikodym, Orlicz, Schauder, Sierpiński, Steinhaus, and Ulam, among others, now appear in all the standard textbooks. The vibrant joie de vivre and singular ambience of Lvov's once scintillating social scene are evocatively recaptured in personal recollections. The heyday of the famous Scottish Café--unquestionably the most mathematically productive cafeteria of all time--and its precious Scottish Book of highly influential problems are described in detail, revealing the special synergy of scholarship and camaraderie that permanently elevated Polish mathematics from utter obscurity to global prominence. This chronicle of the Lvov school--its legacy and the tumultuous historical events which defined its lifespan--will appeal equally to mathematicians, historians, or general readers seeking a cultural and institutional overview of key aspects of twentieth-century Polish mathematics not described anywhere else in the extant English-language literature.

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247

Publisher

American Mathematical Society

Published Date

ISBN 10

1470410761

ISBN 13

9781470410766

The Structure of Models of Peano Arithmetic

By: Roman Kossak,James Schmerl

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The Structure of Models of Peano Arithmetic

By: Roman Kossak,James Schmerl

Aimed at graduate students, research logicians and mathematicians, this much-awaited text covers over 40 years of work on relative classification theory for nonstandard models of arithmetic. The book covers basic isomorphism invariants: families of type realized in a model, lattices of elementary substructures and automorphism groups.

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Page Count

326

Publisher

Oxford University Press

Published Date

ISBN 10

0198568274

ISBN 13

9780198568278

Sacred Snaps

Photovoice for Interfaith Engagement

By: Roman R. Williams,Catherine Holtmann,William L. Sachs

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Sacred Snaps

Photovoice for Interfaith Engagement

By: Roman R. Williams,Catherine Holtmann,William L. Sachs

Sacred Snaps tells the story of a new approach to interfaith engagement. It is an invitation to see and engage religion, diversity, and inclusion through the lens of the mobile phone camera. These days, just about everyone owns a camera equipped cell phone. What if we recruited these cameras for the common good? When religion shows up in everyday life—at work, school, the mall, or the beach—often it is not welcome. At a time when so much of the public discourse is around equity, diversity, and inclusion, religion seems peripheral to the conversation. Many embrace the wisdom that our workplaces, schools, and communities are enhanced when people can bring their whole selves into every aspect of their daily lives. But religion and spirituality are not gaining the same ground as other aspects of diversity such as race, ethnicity, gender, sexuality, and ability. To be more fully included in the cultural conversation about human flourishing, religion needs to be seen and heard in new ways. The old paradigm of interreligious dialogue is no longer adequate. A new paradigm focused on building relationships at the grass roots of daily life is emerging. This cutting-edge volume brings together Christians and Muslims in the United States and Canada to explore what their beliefs, practices, and values look like in everyday life.

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Page Count

208

Publisher

Taylor & Francis

Published Date

ISBN 10

1040258034

ISBN 13

9781040258033

Managing Global Innovation

Uncovering the Secrets of Future Competitiveness

By: Roman Boutellier,Oliver Gassmann,Maximilian von Zedtwitz

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Managing Global Innovation

Uncovering the Secrets of Future Competitiveness

By: Roman Boutellier,Oliver Gassmann,Maximilian von Zedtwitz

Based on empirical research from over 240 interviews, the authors present new concepts and trends in global R&D management. Case studies from 18 best-practice companies give detailed answers to the most pressing challenges for mastering international innovation.

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Page Count

627

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662038951

ISBN 13

9783662038956

Recursive Functions and Metamathematics

Problems of Completeness and Decidability, Gödel’s Theorems

By: Roman Murawski

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Recursive Functions and Metamathematics

Problems of Completeness and Decidability, Gödel’s Theorems

By: Roman Murawski

Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.

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Page Count

416

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401728666

ISBN 13

9789401728669

How We Outwitted and Survived the Nazis

The True Story of the Holocaust Rescuers, Zofia Sterner and Her Family

By: Roman Dziarski

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How We Outwitted and Survived the Nazis

The True Story of the Holocaust Rescuers, Zofia Sterner and Her Family

By: Roman Dziarski

“Extraordinary storytelling about unfathomable horror.” — Library Journal (starred review) "[A] worthy tribute to the extraordinary bravery of a remarkable woman.” — Publishers Weekly In World War II's Poland, thirty year old Zofia Sterner and her husband Wacek refuse to be classified as Jews destined for extermination. Instead, they evade the Nazis and the Soviets in several dramatic escapes and selflessly rescue many Jews from the Warsaw Ghetto and a labor camp, later becoming active participants in the Warsaw Uprising where they are taken prisoner. This retelling, captured through diaries, interviews, war crime trial testimonies, and letters, detail the Sterners' heroic rescues, escapes, and ultimate survival. A true story of hope amid horrifying tragedy, How We Outwitted and Survived the Nazis illustrates how war brings out the worst and the best in people, and how true humanity and heroism of ordinary people are revealed by their willingness to risk everything and help others. This story is about being human under the most inhumane conditions.

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272

Publisher

Academic Studies PRess

Published Date

ISBN 13

9798887192000

Ukraine During World War II

History and Its Aftermath

By: Roman Waschuk,University of Alberta. Canadian Institute of Ukrainian Studies

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Ukraine During World War II

History and Its Aftermath

By: Roman Waschuk,University of Alberta. Canadian Institute of Ukrainian Studies

The history of Ukraine during World War II.

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Page Count

324

Publisher

CIUS Press

Published Date

ISBN 10

0920862365

ISBN 13

9780920862360

Cavalry from Hoof to Track

By: Roman Jarymowycz

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Cavalry from Hoof to Track

By: Roman Jarymowycz

History of cavalry from horses to tanks and helicopters.

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Page Count

570

Publisher

Stackpole Books

Published Date

ISBN 10

0811750930

ISBN 13

9780811750936

Tank Tactics

From Normandy to Lorraine

By: Roman Johann Jarymowycz

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Tank Tactics

From Normandy to Lorraine

By: Roman Johann Jarymowycz

This book draws on after-action reports, war diaries, and other primary sources to examine the tactical ideas underpinning World War II tank warfare as conducted by Allied commanders in France from July to September 1944"--Page 4 of cover

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Page Count

384

Publisher

Lynne Rienner Publishers

Published Date

ISBN 10

1555879500

ISBN 13

9781555879501

Boolean Algebras

Reihe: Reelle Funktionen (Second Edition)

By: Roman Sikorski

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Boolean Algebras

Reihe: Reelle Funktionen (Second Edition)

By: Roman Sikorski

There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the develop ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [IJ. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs.

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Page Count

245

Publisher

Springer

Published Date

ISBN 10

3662015072

ISBN 13

9783662015070

Boolean Algebras

Reihe: Reelle Funktionen (First Edition)

By: Roman Sikorski

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Boolean Algebras

Reihe: Reelle Funktionen (First Edition)

By: Roman Sikorski

There are two aspects in the theory of Boolean algebras: algebraic and set-theoretical. Boolean algebras can be considered as a special kind of algebraic rings, or as a generalization of the set-theoretical notion of field of sets. Fundamental theorems in the both directions are due to M. H. STONE whose papers have opened a new period in the development of the theory. This work treats of the set-theoretical aspect, the algebraic one being scarcely mentioned. The book is composed of two Chapters and an Appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only. A greater part of its contents can be found also in the books of BIRKHOFF [2J and HERMES [1 J. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters land II it suffices to know only fundamental notions from General Set Theory and Set-theoretical Topology. No knowledge of Lattice Theory or Abstract Algebra is supposed. Less known topological theorems are recalled. Only a few examples use more advanced topological means but they can be omitted. All theorems in both Chapters are given with full proofs. On the contrary, no complete proofs are given in the Appendix which contains mainly a short exposition of applications of Boolean algebras to other parts of Mathematics with references to the literature. An elementary knowledge of discussed theories is supposed.

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Page Count

184

Publisher

Springer

Published Date

ISBN 10

3662014920

ISBN 13

9783662014929

Book's by Roman Sikorski

Boolean Algebras

Boolean Algebras

The Gniezno Summit

The Gniezno Summit

The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland

The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland

Pearls from a Lost City

Pearls from a Lost City

The Structure of Models of Peano Arithmetic

The Structure of Models of Peano Arithmetic

Sacred Snaps

Sacred Snaps

Managing Global Innovation

Managing Global Innovation

Recursive Functions and Metamathematics

Recursive Functions and Metamathematics

How We Outwitted and Survived the Nazis

How We Outwitted and Survived the Nazis

Ukraine During World War II

Ukraine During World War II

Cavalry from Hoof to Track

Cavalry from Hoof to Track

Tank Tactics

Tank Tactics

Boolean Algebras

Boolean Algebras

Boolean Algebras

Boolean Algebras

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