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Der Laplacesche Dämon: Kosmos, Erde, Mensch und Atom in Differentialgleichungen
by Wolfgang TschirkDieses Buch nimmt Sie mit auf eine spannende Reise durch die Welt der Wissenschaft: von den Fallgesetzen des Galilei bis zu Einsteins Gravitationswellen, von Newtons Axiomen bis zum Wasserstoffatom, von der natürlichen Auslese bis zum Schwarmverhalten, von der Skala der Empfindungen bis zu den Grenzen des Wachstums auf unserem Planeten. Sie lernen Differentialgleichungen als mächtiges Instrument kennen, das die Mathematik zur Erforschung der Natur bereitstellt. Ihre Lösungen enthüllen, um mit Laplace zu sprechen, die Bewegungen der größten Weltkörper und des kleinsten Atoms und vieles von dem, was dazwischen liegt – einschließlich unserer selbst. Lassen Sie sich von Wolfgang Tschirk begeistern: Er gewährt Ihnen einen unterhaltsamen Blick auf die Verstandesleistungen jener, die dem Laplaceschen Dämon Stück für Stück sein Geheimnis ablauschen. Um Macht und Schönheit der Differentialgleichungen zu erleben, sollten Sie Affinität zur Mathematik mitbringen und auch vor Formeln nicht zurückschrecken. Aber Sie werden sehen: Entgegen ihrem Ruf sind Differentialgleichungen im Grunde leicht zu verstehen und oft sogar leicht zu lösen.
Der Prozentstreifen als Hilfsmittel bei Prozentaufgaben: Eine Interventionsstudie zu Visualisierungen in der Prozentrechnung (Freiburger Empirische Forschung in der Mathematikdidaktik)
by Benjamin ThiedeWissenschaftliche Untersuchungen zu Prozentaufgaben zeigen, dass deren Bearbeitung einer hohen Fehleranfälligkeit unterliegt. Werden entsprechende Aufgaben, etwa die Frage nach „30 % von 1200 €“ zusätzlich in einer Textaufgabe kontextualisiert, sinken die Lösungshäufigkeiten weiter. In der vorliegenden empirischen Untersuchung wird der Einfluss des „Prozentstreifens“ als visuelles Hilfsmittel bei der Bearbeitung von Prozentaufgaben untersucht. Dabei wird der Verwendung des Prozentstreifens eine positive und nachhaltige Wirkung nachgewiesen. Diese zeigt sich unter anderem durch sein hohes Integrationspotenzial in Lösungsprozesse sowie seine einfache und intuitive Anwendung, die den Bearbeitungsprozess an verschiedenen Stellen unterstützt. Der Einsatz des Prozentstreifens trägt dabei zur Reduzierung verschiedener typischer Fehler wie Zuordnungs-, Rechen- und Verständnisfehlern sowie zur Erhöhung der Lösungshäufigkeiten bei.
Der Satz des Pythagoras in 365 Beweisen: Mathematische, kulturgeschichtliche und didaktische Überlegungen zum vielleicht berühmtesten Theorem der Mathematik
by Mario GerwigDieses Buch präsentiert etwa 365 verschiedene Beweise in einer sehr anschaulichen und verständlichen Form und ordnet außerdem den Satz sowie seine Beweisvielfalt fachwissenschaftlich, kulturgeschichtlich, didaktisch und bildungstheoretisch ein. Darüber hinaus enthält es eine ausführliche Darstellung einer mehrfach praxiserprobten Unterrichtseinheit für allgemeinbildende Schulen, in deren Zentrum eben jene Beweisvielfalt steht. In ihr wird „der Pythagoras“ zum Muster für die Entdeckungen der antiken Mathematik, an welchem demonstriert werden kann, wie die mathematischen Wahrheiten aufeinander ruhen. Auch Studierenden bietet die Sammlung einen einzigartigen Einblick in die Arbeitsweise der Mathematik und deren deduktives Gebäude. Die Beweissammlung basiert auf einer Arbeit von Elisha Scott Loomis (1852-1940), der zu Beginn des 20. Jahrhunderts hunderte algebraische und geometrische Beweise gesammelt, systematisiert und publiziert hat: Kristallisationskern für eine Geistes- und Kulturgeschichte der Mathematik, hochexemplarisch verdichtet am pythagoreischen Lehrsatz. Nun erscheint die Loomis-Sammlung in einer völlig überarbeiteten und erweiterten Ausgabe erstmals auf Deutsch. Aus dem Geleitwort von Prof. Günter M. Ziegler Ein Beweis sollte genauso zum Allgemeinwissen gehören wie der Satz des Pythagoras selbst […] Es gibt eben nicht den einen, perfekten Beweis […] Es gibt viele Beweise, und das ist eine Chance und Gelegenheit, in vielerlei Hinsicht […] Man kann viel an diesem Buch lernen, die Vielfalt von Beweisen kennenlernen, sich davon inspirieren lassen, und sich daran freuen.
Der Satz von Bayes: Wahrscheinlichkeitstheorie für Finanzen und Betriebswirtschaft (essentials)
by Pablo PeyrolónDer Satz von Bayes gehört zu den wichtigsten Formeln der Wahrscheinlichkeitsrechnung. Von medizinischen Labordiagnosen bis zu Finanzmarkt-Prognosen lassen sich mit der Bayes-Formel vielseitige Anwendungen erfolgreich gestalten. In diesem essentials wird eine kurze visuelle Herleitung des Satzes von Bayes beschrieben und eine Einführung zur bedingten Wahrscheinlichkeit sowie eine einfache Darstellung mit Baumdiagrammen vorgestellt. Mit Beispielen werden die Anwendungen für Finanzen und Betriebswirtschaft lebendig erklärt.Der Autor:Dr. Pablo Peyrolón ist Lektor für International Financial Management und für Economics with Game Theory an der FH Wien der WKÖ (University of Applied Sciences for Management & Communication), Ökonom, Neurowissenschaftler und Master in Finanzen.
Der Wille zur Freiheit
by Manfred Stern Egon BalasDer berühmter Mathematiker Egon Balas nimmt seine Leser mit auf eine erstaunliche Lebensreise: Sie erfahren von großem Mut, grenzenlosem Optimismus und von dem Leid, das Balas auf seinem Weg von Transsilvanien nach Pennsylvania begleitete. Egon Balas wurde 1922 als Sohn ungarisch-jüdischer Eltern geboren, ein Großteil seiner Familie wurde zwischen 1942-1944 ermordet. Nach dem 2. Weltkrieg geriet er in Opposition zum stalinistischen Regime in Rumänien und emigrierte 1966 in die USA. Balas gilt als einer der Pioniere der mathematischen Optimierung.
Der Zehnerübergang zur Anbahnung eines Stellenwertverständnisses: Eine Entwicklungsforschungsstudie mit Blick auf den Förderschwerpunkt Hören und Kommunikation (Kölner Beiträge zur Didaktik der Mathematik)
by Anna-Katharina ZurniedenAus Perspektive der Mathematikdidaktik stellt das Stellenwertsystem im Lernprozess häufig eine Hürde dar, der möglichst frühzeitig begegnet werden sollte. Gleichzeitig scheint eine Hörschädigung den mathematischen Lernprozess negativ zu beeinflussen. Im Rahmen dieser Forschungsarbeit werden zum einen Design-Prinzipien sowie ein Lehr-Lernarrangement zum Zehnerübergang entwickelt, die eine Möglichkeit der frühzeitigen Anbahnung eines Stellenwertverständnisses (speziell mit Blick auf den Förderschwerpunkt Hören und Kommunikation) darstellen. Hierbei wird bewusst eine von gängigen Erarbeitungen abweichende Übergänge fokussierende Herangehensweise gewählt, die jedoch als Ergänzung zu verstehen ist und zudem im Hinblick auf den weiteren Verlauf der Lehr- und Lernprozesse anschlussfähig ist. Zum anderen werden lokale Theorien zu Lehr- und Lernprozessen am Zehnerübergang generiert. Somit bietet die Arbeit erste Einsichten zu möglichen Hürden sowie Anhaltspunkte für Hilfestellungen und Strategien zum Umgang mit Herausforderungen, insbesondere im Kontext des Förderschwerpunkts Hören und Kommunikation.
Der dritte Parameter und die asymmetrische Varianz: Philosophie und mathematisches Konstrukt der Equibalancedistribution (essentials)
by Marcus HellwigMarcus Hellwig zeigt, dass die Equibalancedistribution, deren Dichte nachweislich bei 1 liegt, #65533;ber einen dritten Parameter verf#65533;gt, der links- oder rechtsschiefe Varianzen ber#65533;cksichtigt. Die neue Funktion ist Werkzeug f#65533;r zum Beispiel das Taguchi-Prozessmanagement oder das Qualit#65533;tsmanagement im Allgemeinen und f#65533;r viele weitere Anwendungen. Bisher wurden links- oder rechtsschiefe H#65533;ufigkeitsverteilungen mit normalverteilten Dichtefunktionen untersucht. Bei Unstimmigkeiten hielt unter anderem ein positiver Kolmogorov-Smirnov Test als Nachweis her, dass eine H#65533;ufigkeitsverteilung normalverteilt sei. Die bislang zur Beschreibung wissenschaftlicher Untersuchungen herangezogene symmetrische Normalverteilung ist darin weiterhin als vereinfachter Sonderfall enthalten. Dieses essential ist die Fortsetzung des essentials ,,Equibalancedistribution - asymmetrische Dichteverteilung".
Der lange Weg der Rente mit 67: Eine Diskurs-, Policy-, Ideen- und Sprachanalyse
by Marcus ZachäusDas vorliegende Buch erklärt mithilfe des Konzepts der emotionalen Qualität einer Politikidee, weshalb die deutsche Bevölkerung die Rente mit 67 stärker ablehnte als andere, ebenso einschneidende Rentenreformen. Dafür werden zunächst die Geschichte des Reformvorhabens (der Politikidee) rekonstruiert, die Umstände der Verabschiedung des Reformgesetzes analysiert und dessen Abstraktionsgrad bestimmt. Den Mittelpunkt des Arguments bildet die diskurslinguistische Mehr-Ebenen-Analyse der Topoi in den Rechtfertigungen der Regierung für ihr Reformhandeln. Der Autor kommt zu dem Schluss, dass die von Politik und Bevölkerung in Deutschland althergebrachte Ablehnung des späteren Ruhestands nicht mehr kurzfristig durch eine Post-Entscheidungskommunikation der Regierung aufzubrechen war.
Der perfekte Tipp: Statistik des Fußballspiels (Erlebnis Wissenschaft)
by Andreas HeuerHow predictable is a soccer game, what good does the change of a coach, which role does the salary of soccer players have? Andreas Heuer surprises us with his analysis of soccer statistics. He shows that many beloved soccer sayings will vanish into thin air at a closer look.
Der vierte Parameter, Kurtosis und die logarithmische Varianz: Mathematisches Konstrukt Und Die Anwendungen In Den Naturwissenschaften (Essentials)
by Marcus HellwigMarcus Hellwig zeigt auf, wie Asymmetrie die Natur und deren Gesetze beherrscht. Er diskutiert, dass nichts, das zu beobachten und zu messen ist, mit vollständig symmetrischen Eigenschaften erscheint. Die logarithmische Equibalancedistribution Eqbl als Variante der Eqb soll dort Abhilfe schaffen, wo die allgegenwärtige Gauß`sche Normalverteilung vom Grundsatz her nicht anwendbar ist. Im Gegensatz zur Log-Normalverteilung haben aber alle Parameterwerte Bestand und erhalten zusätzlich Parameter für Schiefe und Kurtosis. Der Autor belegt die Ausführungen anhand praktischer Beispiele für Anwender.Der Autor Dipl.-Ing. Marcus Hellwig war Projektleiter bei einem deutschen, international agierenden Ingenieurbüro und ist Autor einiger Bücher.
Derivative Pricing: A Problem-Based Primer (Chapman and Hall/CRC Financial Mathematics Series)
by Ambrose LoThe proliferation of financial derivatives over the past decades, options in particular, has underscored the increasing importance of derivative pricing literacy among students, researchers, and practitioners. Derivative Pricing: A Problem-Based Primer demystifies the essential derivative pricing theory by adopting a mathematically rigorous yet widely accessible pedagogical approach that will appeal to a wide variety of audience. Abandoning the traditional "black-box" approach or theorists’ "pedantic" approach, this textbook provides readers with a solid understanding of the fundamental mechanism of derivative pricing methodologies and their underlying theory through a diversity of illustrative examples. The abundance of exercises and problems makes the book well-suited as a text for advanced undergraduates, beginning graduates as well as a reference for professionals and researchers who need a thorough understanding of not only "how," but also "why" derivative pricing works. It is especially ideal for students who need to prepare for the derivatives portion of the Society of Actuaries Investment and Financial Markets Exam. Features Lucid explanations of the theory and assumptions behind various derivative pricing models. Emphasis on intuitions, mnemonics as well as common fallacies. Interspersed with illustrative examples and end-of-chapter problems that aid a deep understanding of concepts in derivative pricing. Mathematical derivations, while not eschewed, are made maximally accessible. A solutions manual is available for qualified instructors. The Author Ambrose Lo is currently Assistant Professor of Actuarial Science at the Department of Statistics and Actuarial Science at the University of Iowa. He received his Ph.D. in Actuarial Science from the University of Hong Kong in 2014, with dependence structures, risk measures, and optimal reinsurance being his research interests. He is a Fellow of the Society of Actuaries (FSA) and a Chartered Enterprise Risk Analyst (CERA). His research papers have been published in top-tier actuarial journals, such as ASTIN Bulletin: The Journal of the International Actuarial Association, Insurance: Mathematics and Economics, and Scandinavian Actuarial Journal.
Derivative Securities and Difference Methods
by I-Liang Chern Xiaonan Wu You-Lan Zhu Zhi-Zhong SunThis book is mainly devoted to finite difference numerical methods for solving partial differential equations (PDEs) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided into two main parts. In the first part, after an introduction concerning the basics on derivative securities, the authors explain how to establish the adequate PDE boundary value problems for different sets of derivative products (vanilla and exotic options, and interest rate derivatives). For many option problems, the analytic solutions are also derived with details. The second part is devoted to explaining and analyzing the application of finite differences techniques to the financial models stated in the first part of the book. For this, the authors recall some basics on finite difference methods, initial boundary value problems, and (having in view financial products with early exercise feature) linear complementarity and free boundary problems. In each chapter, the techniques related to these mathematical and numerical subjects are applied to a wide variety of financial products. This is a textbook for graduate students following a mathematical finance program as well as a valuable reference for those researchers working in numerical methods in financial derivatives. For this new edition, the book has been updated throughout with many new problems added. More details about numerical methods for some options, for example, Asian options with discrete sampling, are provided and the proof of solution-uniqueness of derivative security problems and the complete stability analysis of numerical methods for two-dimensional problems are added. Review of first edition: "...the book is highly well designed and structured as a textbook for graduate students following a mathematical finance program, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable reference for those researchers working in numerical methods in financial derivatives, either with a more financial or mathematical background." -- MATHEMATICAL REVIEWS
Derivative-Free Optimization: Theoretical Foundations, Algorithms, and Applications (Machine Learning: Foundations, Methodologies, and Applications)
by Yang Yu Hong Qian Yi-Qi HuThis book offers a pioneering exploration of classification-based derivative-free optimization (DFO), providing researchers and professionals in artificial intelligence, machine learning, AutoML, and optimization with a robust framework for addressing complex, large-scale problems where gradients are unavailable. By bridging theoretical foundations with practical implementations, it fills critical gaps in the field, making it an indispensable resource for both academic and industrial audiences. The book introduces innovative frameworks such as sampling-and-classification (SAC) and sampling-and-learning (SAL), which underpin cutting-edge algorithms like Racos and SRacos. These methods are designed to excel in challenging optimization scenarios, including high-dimensional search spaces, noisy environments, and parallel computing. A dedicated section on the ZOOpt toolbox provides practical tools for implementing these algorithms effectively. The book&’s structure moves from foundational principles and algorithmic development to advanced topics and real-world applications, such as hyperparameter tuning, neural architecture search, and algorithm selection in AutoML. Readers will benefit from a comprehensive yet concise presentation of modern DFO methods, gaining theoretical insights and practical tools to enhance their research and problem-solving capabilities. A foundational understanding of machine learning, probability theory, and algorithms is recommended for readers to fully engage with the material.
Derivative-free DIRECT-type Global Optimization: Applications and Software (SpringerBriefs in Optimization)
by Remigijus Paulavičius Linas StripinisAfter providing an in-depth introduction to derivative-free global optimization with various constraints, this book presents new original results from well-known experts on the subject. A primary focus of this book is the well-known class of deterministic DIRECT (DIviding RECTangle)-type algorithms. This book describes a new set of algorithms derived from newly developed partitioning, sampling, and selection approaches in the box- and generally-constrained global optimization, including extensions to multi-objective optimization. DIRECT-type optimization algorithms are discussed in terms of fundamental principles, potential, and boundaries of their applicability. The algorithms are analyzed from various perspectives to offer insight into their main features. This explains how and why they are effective at solving optimization problems. As part of this book, the authors also present several techniques for accelerating the DIRECT-type algorithms through parallelization and implementing efficient data structures by revealing the pros and cons of the design challenges involved. A collection of DIRECT-type algorithms described and analyzed in this book is available in DIRECTGO, a MATLAB toolbox on GitHub. Lastly, the authors demonstrate the performance of the algorithms for solving a wide range of global optimization problems with various constraints ranging from a few to hundreds of variables.Additionally, well-known practical problems from the literature are used to demonstrate the effectiveness of the developed algorithms. It is evident from these numerical results that the newly developed approaches are capable of solving problems with a wide variety of structures and complexity levels.Since implementations of the algorithms are publicly available, this monograph is full of examples showing how to use them and how to choose the most efficient ones, depending on the nature of the problem being solved. Therefore, many specialists, students, researchers, engineers, economists, computer scientists, operations researchers, and others will find this book interesting and helpful.
Derivatives Applications in Asset Management: From Theory to Practice
by Frank J. Fabozzi Marielle De JongBy displaying examples of derivatives applications in a series of investment settings, this book aims to educate readers on the use of these instruments. It helps readers to bridge the gap between the theory and practice of derivative instruments. It provides real-world applications of derivatives demonstrating how they can be used to achieve specific investment purposes, and will be of interest to investment management professionals including portfolio managers, risk managers, and trustees, alongside professors teaching and students studying asset management.
Derivatives Pricing
by Frédéric D. VrinsThis is a masters-level overview of the mathematical concepts needed to fully grasp the art of derivatives pricing, and a must-have for anyone considering a career in quantitative finance in industry or academia. Starting from the foundations of probability, this textbook allows students with limited technical background to build a solid knowledge of the most important principles. It offers a unique compromise between intuition and mathematics, even when discussing abstract ideas such as change of measure. Mathematical concepts are introduced initially using toy examples, before moving on to examples of finance cases, both in discrete and continuous time. Throughout, numerical applications and simulations illuminate the analytical results. The end-of-chapter exercises test students' understanding, with solved exercises at the end of each part to aid self-study. Additional resources are available online, including slides, code and an interactive app.
Derivatives Unlocked: A Practitioner’s Perspective
by Philippe DufournierDerivatives Unlocked: A Practitioner's Perspective offers the reader a practical explanation of the key concepts behind the design of financial derivatives. Resolutely selective and user-friendly, this book constitutes a hands-on introduction to both the structuring and use cases of derivatives products in modern global finance.The book is organised around two parallel streams of content. On the one hand, the Derivatives Toolbox comes as a set of pricing rules that underpin the building blocks of most derivatives products, namely discounting, duration and convexity, interest rates and credit default swaps, forwards and options. The methodology is approachable, simplified whenever possible, and does not require advanced mathematical training.On the other hand, the Case Studies, largely inspired by real European corporate finance and corporate risk management situations, allow the reader to (i) make explicit use of the techniques learned as he or she progresses through the Toolbox and (ii) to grasp the effective power of derivatives solutions.Features: Easy to follow for non-specialists, helping them build a solid and empirical foundation to encourage continued learning. Provides a unique insight, balanced between the acquisition of technical tools and their practical applications Contains numerous case studies and other support material making it suitable for both students and practitioners.
Derivatives of Inner Functions
by Javad MashreghiInner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this book is devoted to a concise study of derivatives of these objects, and confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means. The goal is to provide rapid access to the frontiers of research in this field. This monograph will allow researchers to get acquainted with essentials on inner functions, and it is self-contained, which makes it accessible to graduate students.
Derivatives: Options and Futures (Springer Texts in Business and Economics)
by Joachim Häcker Dietmar ErnstThis textbook rethinks derivatives in a structured manner. This is done from the perspective of financial modeling, whereby the central issues from the financial economy are holistically mapped and resolved with the help of Microsoft Excel. The guideline of the book is an integrated case study, which is divided into two parts. The first part deals with the basics and the valuation of options and futures. In the second part, the individual option strategies are examined step by step in separate course units. The analysis ends – figuratively speaking – in a cockpit of sorts, where the reader controls the possible strategies in Excel. The book is aimed at students of business administration with a focus on finance.
Derivatives: Theory and Practice of Trading, Valuation, and Risk Management (Springer Texts in Business and Economics)
by Jiří WitzanyThis book helps students, researchers and quantitative finance practitioners to understand both basic and advanced topics in the valuation and modeling of financial and commodity derivatives, their institutional framework and risk management. It provides an overview of the new regulatory requirements such as Basel III, the Fundamental Review of the Trading Book (FRTB), Interest Rate Risk of the Banking Book (IRRBB), or the Internal Capital Assessment Process (ICAAP). The reader will also find a detailed treatment of counterparty credit risk, stochastic volatility estimation methods such as MCMC and Particle Filters, and the concepts of model-free volatility, VIX index definition and the related volatility trading. The book can also be used as a teaching material for university derivatives and financial engineering courses.
Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations: Theories and Methodologies
by Yejun XuAs we know, multiplicative preference relations (or called pairwise comparisons in AHP) were proposed by Dr. Thomas L Saaty. One important work is to derive its priority from pairwise comparisons. It has been proposed many methods to derive priority for multiplicative preference relation. On the basis of fuzzy sets, the fuzzy reciprocal preference relation is proposed and is extended to the incomplete contexts. However, how to derive the priorities from incomplete fuzzy reciprocal preference relations is an interesting and challenging work. This book systematically presents the theories and methodologies for deriving priorities from incomplete fuzzy reciprocal preference relations. This book can be divided into three parts. In the first part, this book introduces the basic concepts of fuzzy reciprocal preference relations and incomplete fuzzy reciprocal preference relations. Then, two consistencies of complete fuzzy reciprocal preference relations are introduced: additive consistency and multiplicative consistency. Then, the relationships between the fuzzy reciprocal elements and the weights are showed. Afterward, in the second part, different priority methods are presented. The inconsistency repairing procedures are also proposed. Last, the priority method for incomplete hesitant fuzzy reciprocal preference relations is presented. This book can be used as a reference for researchers in the areas of management science, information science, systems engineering, operations research, and other relevant fields. It can also be employed as a textbook for upper-level undergraduate students and graduate students.
Descartes on Mathematics, Method and Motion: On the Role of Cartesian Physics in the Scientific Revolution (SpringerBriefs in Philosophy)
by Ladislav KvaszThis book argues that Descartes’ physics was a milestone on the road to modern mathematical physics. After Newton introduced a completely different approach to mathematical description of motion, Descartes’ physics became obsolete and even difficult to comprehend. This text follows the language of Descartes and the means of which motion can be described. It argues that Descartes achieved almost everything that later Newton was able to do—to describe the motion of interacting bodies- by different (i.e. algebraic) means. This volume completely refutes the received view according to which Descartes’ physics was merely a kind of discursive natural philosophy. To make this interpretation more plausible the book follows Descartes’ ideas from his early work in mathematics, through his invention of the analytic method towards his mature physics. It shows that Descartes followed a similar heuristic pattern.The volume appeals to students and researchers; it invites the reader equippedwith minimal understanding of college mathematics to follow Descartes on his intellectual journey through the Scientific Revolution. The reader will gain a deeper understanding of the role of mathematical language in the creation of modern physics and a glimpse into the fascinating world of Descartes’ scientific thought. Several of Descartes’ philosophical ideas can be traced back to his scientific interests and thus the book elucidates the motivation behind some of Descartes’ key positions in the area of epistemology and method. In the penultimate chapter the book presents four arguments in favor of seeing Descartes as a physicist on par with Galileo and Newton.
Descartes' Error: Emotion, Reason, and the Human Brain (Drakontos Ser.)
by Anthony DamasioSince Descartes famously proclaimed, "I think, therefore I am," science has often overlooked emotions as the source of a person's true being. Even modern neuroscience has tended, until recently, to concentrate on the cognitive aspects of brain function, disregarding emotions. This attitude began to change with the publication of Descartes' Error in 1995. Antonio Damasio--"one of the world's leading neurologists" (The New York Times)--challenged traditional ideas about the connection between emotions and rationality. In this wondrously engaging book, Damasio takes the reader on a journey of scientific discovery through a series of case studies, demonstrating what many of us have long suspected: emotions are not a luxury, they are essential to rational thinking and to normal social behavior.
Descent in Buildings (AM-190)
by Richard M. Weiss Holger P. Petersson Bernhard MühlherrDescent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or "form" of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. These results are combined at the end to show that every exceptional Bruhat-Tits building arises as a form of a "residually pseudo-split" Bruhat-Tits building. The book concludes with a display of the Tits indices associated with each of these exceptional forms.This is the third and final volume of a trilogy that began with Richard Weiss' The Structure of Spherical Buildings and The Structure of Affine Buildings.
Description Logic, Theory Combination, and All That: Essays Dedicated to Franz Baader on the Occasion of His 60th Birthday (Lecture Notes in Computer Science #11560)
by Carsten Lutz Uli Sattler Anni-Yasmin Turhan Cesare Tinelli Frank WolterThis Festschrift has been put together on the occasion of Franz Baader's 60th birthday to celebrate his fundamental and highly influential scientific contributions. The 30 papers in this volume cover several scientific areas that Franz Baader has been working on during the last three decades, including description logics, term rewriting, and the combination of decision procedures. We hope that readers will enjoy the articles gathered in Franz's honour and appreciate the breadth and depth of his favourite areas of computer science.