Exercises In Linear Algebra

Exercises In Linear Algebra
Author: Luis Barreira
Publisher: World Scientific Publishing Company
Total Pages: 230
Release: 2016-05-03
Genre: Mathematics
ISBN: 9813143061

This is a book of exercises in Linear Algebra. Through a systematic detailed discussion of 200 solved exercises, important concepts and topics are reviewed. The student is led to make a systematic review of topics from the basics to more advanced material, with emphasis on points that often cause the greatest difficulties. The solved exercises are followed by an additional 200 proposed exercises (with answers), thus guiding the student to a systematic consolidation of all topics.The contents follow closely the majority of the introductory courses of Linear Algebra. We consider in particular systems of linear equations, matrices, determinants, vector spaces, linear transformations, inner products, norms, eigenvalues and eigenvectors. The variety of exercises allows the adjustment to different levels in each topic.

Exercises in Functional Analysis

Exercises in Functional Analysis
Author: C. Costara
Publisher: Springer Science & Business Media
Total Pages: 461
Release: 2013-03-14
Genre: Mathematics
ISBN: 9401702233

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory course in Functional Analysis. Three comprehensive sections cover the broad topic of functional analysis. A large number of exercises on the weak topologies is included.

Game Theory and Exercises

Game Theory and Exercises
Author: Gisèle Umbhauer
Publisher: Routledge
Total Pages: 462
Release: 2016-01-08
Genre: Business & Economics
ISBN: 1317362993

Game Theory and Exercises introduces the main concepts of game theory, along with interactive exercises to aid readers’ learning and understanding. Game theory is used to help players understand decision-making, risk-taking and strategy and the impact that the choices they make have on other players; and how the choices of those players, in turn, influence their own behaviour. So, it is not surprising that game theory is used in politics, economics, law and management. This book covers classic topics of game theory including dominance, Nash equilibrium, backward induction, repeated games, perturbed strategie s, beliefs, perfect equilibrium, Perfect Bayesian equilibrium and replicator dynamics. It also covers recent topics in game theory such as level-k reasoning, best reply matching, regret minimization and quantal responses. This textbook provides many economic applications, namely on auctions and negotiations. It studies original games that are not usually found in other textbooks, including Nim games and traveller’s dilemma. The many exercises and the inserts for students throughout the chapters aid the reader’s understanding of the concepts. With more than 20 years’ teaching experience, Umbhauer’s expertise and classroom experience helps students understand what game theory is and how it can be applied to real life examples. This textbook is suitable for both undergraduate and postgraduate students who study game theory, behavioural economics and microeconomics.

Topics and Solved Exercises at the Boundary of Classical and Modern Physics

Topics and Solved Exercises at the Boundary of Classical and Modern Physics
Author: Samir Khene
Publisher: Springer Nature
Total Pages: 476
Release: 2022-02-09
Genre: Science
ISBN: 3030877426

This book provides a simple and well-structured course followed by an innovative collection of exercises and solutions that will enrich a wide range of courses as part of the undergraduate physics curriculum. It will also be useful for first-year graduate students who are preparing for their qualifying exams. The book is divided into four main themes at the boundary of classical and modern physics: atomic physics, matter-radiation interaction, blackbody radiation, and thermodynamics. Each chapter starts with a thorough and well-illustrated review of the core material, followed by plenty of original exercises that progress in difficulty, replete with clear, step-by-step solutions. This book will be invaluable for undergraduate course instructors who are looking for a source of original exercises to enhance their classes, while students that want to hone their skills will encounter challenging and stimulating problems.

Gödel's Incompleteness Theorems

Gödel's Incompleteness Theorems
Author: Raymond M. Smullyan
Publisher: Oxford University Press, USA
Total Pages: 156
Release: 1992
Genre: Gödel's theorem
ISBN: 0195046722

An introduction to the work of the mathematical logician Kurt Godel, which guides the reader through his Theorem of Undecidability and his theories on the completeness of logic, the incompleteness of numbers and the consistency of the axiom of choice.