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Gesamtkatalog

Catalogue complet

Mathematics and Statistics (R0)

Anima Nagar

Riddhi Shah

Shrihari Sridharan

Elements of Dynamical Systems

V. Kannan: Real Dynamics.- Anima Nagar and C. R. E. Raja: Topological Dynamics.- C. S. Aravinda and Vishesh S. Bhat: Basic Ergodic Theory.- Siddhartha Bhattacharya: Symbolic Dynamics.- Shrihari Sridharan and Kaushal Verma: Complex Dynamics.- Anish Ghosh: Topics in Homogeneous Dynamics and Number Theory.- S. G. Dani: On Certain Unusual Large Subsets Arising as Winning Sets of&amp;nbsp;Some Games.

Energy (R0)

Devika Jay

K. Shanti Swarup

Design and Analysis with GAMS Code

Market Operation for Reactive Power Ancillary Service

Physics and Astronomy (R0)

Debora Sarno

Francesco Polese

Stephen Louis Vargo

Complexity and Emergence in Market Ecosystems

Lecture Notes in Computer Science

29th International Conference, DLT 2025, Seoul, South Korea, August 19–22, 2025, Proceedings

Developments in Language Theory

Business and Management (R0)

&lt;p&gt;&lt;strong&gt;&lt;em&gt;Useful Game Theory&lt;/em&gt;&lt;/strong&gt;&lt;em&gt;&amp;nbsp;&lt;/em&gt;offers a refreshing perspective on modern wisdom, empowering readers to master strategic decision-making with the tools they already possess.&lt;/p&gt;

&lt;p&gt;Every decision you make involves an element of game theory, often without you even realizing it. In this insightful book, economist Jay Prag and marketing strategist Amanda Ishak Prag delve into the essence of human nature, transforming the mathematical principles of game theory into practical, everyday strategies. Through familiar proverbs and timeless wisdom, readers will explore how elements like reputation, biases, cooperation, and family dynamics influence our strategic interactions.&lt;/p&gt;

&lt;p&gt;From navigating a four-way stop and choosing take-out dinners to understanding the complexities of nuclear disarmament,&amp;nbsp;&lt;strong&gt;&lt;em&gt;Useful Game Theory&lt;/em&gt;&lt;/strong&gt;&amp;nbsp;demonstrates how recognizing the structure of games—players, choices, and outcomes—can enhance decision-making in all aspects of life.&lt;/p&gt;


Jay Prag

Amanda Ishak Prag

Fundamentals of Decision Making

Useful Game Theory

Springer Nature Proceedings excluding Computer Science

João Paulo Almeida

Carla Soares Geraldes

Isabel Cristina Lopes

Samuel Moniz

José Fernando Oliveira

Alberto Adrego Pinto

IO 2021-Analytics for a Better World. XXI Congress of APDIO, Figueira da Foz, Portugal, November 7-8, 2021

Operational Research

&lt;p&gt;This book presents the best papers from the 4th International Conference on Mathematical Research for Blockchain Economy (MARBLE) 2023, held in London, UK. While most blockchain conferences and forums are dedicated to business applications, product development, or Initial Coin Offering (ICO) launches, this conference focused on the mathematics behind blockchain to bridge the gap between practice and theory.&lt;/p&gt;&lt;p&gt;The book spans the divide between theoretical promise and practical reality in blockchain technology and explores the challenges hindering its real-world integration across diverse sectors, offering comprehensive insights into issues like scalability, security, and privacy.&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;

Panos Pardalos

Ilias Kotsireas

William J. Knottenbelt

Stefanos Leonardos

4th International Conference MARBLE 2023, London, United Kingdom

Mathematical Research for Blockchain Economy

Elena G. Popkova

Imitation Market Modeling in Digital Economy: Game Theoretic Approaches

An accessible, motivated introduction to one of the most dynamic areas of mathematics Decades ago, Mumford wrote that algebraic geometry “seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics.” The revolution has now fully come to pass and has fundamentally changed how we think about many fields of mathematics. This book provides a thorough foundation in the powerful ideas that now shape the landscape, with an informal yet rigorous exposition that builds intuition for understanding the formidable machinery. It begins with a discussion of categorical thinking and sheaves and then develops the notion of schemes and varieties as examples of “geometric spaces” before discussing their specific aspects. The book goes on to cover topics such as dimension and smoothness, vector bundles and their natural generalizations, and important cohomological tools and their applications. Important optional topics are included in starred sections.<ul><li>Provides a comprehensive introduction certain to become the standard on the subject</li><li>Features a wealth of exercises that enable students to learn by doing</li><li>Requires few prerequisites, developing the tools students need to succeed, from category theory and sheaf theory to commutative and homological algebra</li><li>Uses an example-driven approach that builds mathematical intuition</li><li>Is a self-contained textbook for graduate students and an essential reference for researchers</li></ul>

Foundations of Algebraic Geometry

The Rising Sea

Beginnend mit einer ausführlichen Diskussion der Primfaktorzerlegung natürlicher Zahlen werden die grundlegenden algebraischen Strukturen, also Gruppen, Ringe und Körper, eingeführt und anhand von Beispielen veranschaulicht. Mit fortschreitender algebraischer Entwicklung kehrt der Text zu zahlentheoretischen Fragestellungen zurück, wobei weitere Themen der Schulmathematik in den abstrakten Rahmen eingebettet werden, der dadurch eine greifbarere Bedeutung erhält. Einige Erkenntnisse, die zuvor aufwendig erarbeitet wurden, werden durch den Einsatz abstrakterer Argumente besser strukturiert und einfacher begründet. Im abschließenden Kapitel werden Körpererweiterungen und die Galoistheorie behandelt, mit deren Hilfe dann insbesondere die Konstruierbarkeit geometrischer Figuren mit Zirkel und Lineal sowie die Frage nach Lösungsformeln für Polynomgleichungen erneut untersucht und zu einem gewissen Abschluss gebracht werden.Das Buch wendet sich an Leser und Leserinnen, die Interesse an mathematischen Fragestellungen mitbringen und mit mengentheoretischer Notation, mit Beweistechniken sowie idealerweise mit elementaren Aspekten der Vektorraumtheorie vertraut sind. Der AutorStefan Kühnlein
 hat in Erlangen und Bonn Mathematik studiert und promoviert. Seine mathematischen Interessen liegen im Umfeld der elementaren und algebraischen Zahlentheorie. Seit 1997 arbeitet er am Institut für Algebra und Geometrie des Karlsruher Instituts für Technologie (KIT), wo er 2025 auch den Fakultätslehrpreis für seine Tätigkeit als Fachstudienberater im Studiengang Mathematik erhalten hat.

Ausgewählte Fragestellungen und wichtige Konzepte

Algebra und Zahlentheorie

New Frontiers in Regional Science: Asian Perspectives

This book critically discusses the historical backgrounds and new developments of the theories of games, decisions, and markets, with many possible applications to social and economic problems. Consisting of three connected parts, the book sheds new light on the role of merchants in the market economy under conditions of risk and uncertainty. Part I begins with the question of why and how John von Neumann and Oskar Morgenstern did joint work in game theory, namely, the theoretical study of strategic interactions among several decision makers. The duel between Sherlock Holmes and Professor Moriarty in Conan Doyle's famous detective story is recalled as a great inducement to Neumann and Morgenstern to invent zero-sum, two-person games. More general non-zero-sum games and associated Nash solutions are then discussed in relation to the generation-gap problem between a young couple and an elderly couple. Part II explores a set of very fundamental problems of individual decision making. Thetwo famous axioms of revealed preference ― Samuelson's weak axiom and Houthakker's axiom ― are skillfully connected and empirically reevaluated by the introduction of certain regularity conditions. The revealed preference approach is then extended from the original commodity space to the dual price space. Such dual treatment in microeconomics is further applied to the theory of cost and production, with the decomposition of the total factor price effect into the substitution and scale effects. Part III turns the reader’s attention to the interdependence of several markets. The almost forgotten Hicks–Morishima approach is newly revived with graphical illustrations of traded goods. The well-known Jones–Kemp approach to international trade is boldly expanded into the world of risk and uncertainty. Some striking results in comparative static analysis are derived, with favorable implications for the real world.

Elements of Dynamical Systems

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