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The Legacy of Kurt Schütte
This book on proof theory centers around the legacy of Kurt Schütte and its current impact on the subject. Schütte was the last doctoral student of David Hilbert who was the first to see that proofs can be viewed as structured mathematical objects amenable to investigation by mathematical methods (metamathematics). Schütte inaugurated the important paradigm shift from finite proofs to infinite proofs and developed the mathematical tools for their analysis. Infinitary proof theory flourished in his hands in the 1960s, culminating in the famous bound Γ0 for the limit of predicative mathematics (a fame shared with Feferman). Later his interests shifted to developing infinite proof calculi f...
Logic from Russell to Church
This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.• The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights
Plant Growth Substances 1988
The 13th International Conference on Plant Growth Substances was held from the 17th to the 26th July, 1988 in Calgary, Alberta Canada under the auspices of the IPGSA (International Plant Growth Substances Association) and the University of Calgary. Over 550 participants from allover the world attended, along with 70 Associates and 25 University of Calgary graduate students who assisted in audiovisual presentations when not attending the scientific sessions. Fine weather prevailed, as was usual for summer on the eastern slopes of the Canadian Rockies, and participants arriving early visited the famous Calgary Stampede. A hosted buffet opened the Conference on Sunday evening. On Wednesday evening, following an afternoon field trip into the mountains of the Kananaskis Valley, the IPGSA traditional banquet became a western barbecue on Richards' Ghost River Ranch in the foothills of the Rockies, with folk and country and western music provided by the Great Western Orchestra. The fine Alberta weather continued through the weekend, and the Conference ended with a field trip to Sun shine Meadows, a World Heritage Site in Banff National Park.
Excimer Lasers
Among the many intense light sources, excimer lasers have a unique set of properties that place them at the forefront of tooling for material processing. Their extreme versatility means that they can be used in many areas of materials science and medicine. But three conditions need to be fulfilled in order that their versatility be truly appreciated and exploited: the characteristics and limitations of the sources must be known; the basic excimer laser processes should become reasonably widely known; and problems in search of a solution should be clearly identified. Excimer Lasers covers all three of these points in an instructive and logical way. Probably for the first time, both instrumental and fundamental aspects of excimer laser interaction with matter are presented side-by-side, with examples drawn from the widest range of materials. The articles gathered here are tutorial in their nature, thus making them suitable for a wide readership, from recent graduates and postgraduate students to those established scientists entering the field, all of whom could not find a better, nor more authoritative work with which to start their reading.
Discrete Energy on Rectifiable Sets
This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designed with the graduate student and further explorers in mind. The presentation includes a chapter of preliminaries and an extensive Appendix that augments a course in Real Analysis and makes the text self-contained. Along with numerous attractive full-color images, the exposition conveys the beauty of the subject and its connection to several branches of mathematics, computational methods, and physical/biological applications. This work is destined to be a valuable research resource for such topics a...
Progress in Botany
With one new volume each year, this series keeps scientists and advanced students informed of the latest developments and results in all areas of botany. The present volume includes reviews on structural botany, plant physiology, genetics, taxonomy, and geobotany.
Handbook of Philosophical Logic
It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as weIl as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition...
Methods of Cut-Elimination
This is the first book on cut-elimination in first-order predicate logic from an algorithmic point of view. Instead of just proving the existence of cut-free proofs, it focuses on the algorithmic methods transforming proofs with arbitrary cuts to proofs with only atomic cuts (atomic cut normal forms, so-called ACNFs). The first part investigates traditional reductive methods from the point of view of proof rewriting. Within this general framework, generalizations of Gentzen's and Sch\”utte-Tait's cut-elimination methods are defined and shown terminating with ACNFs of the original proof. Moreover, a complexity theoretic comparison of Gentzen's and Tait's methods is given. The core of the bo...
Geometry in History
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
