The Mathematics of Voting and Apportionment (Paperback)

Lingua: inglese

Editore: Springer Nature Switzerland AG, Cham, 2019

3030147673 / 9783030147679

Serie: Libro 20 di 32 - Compact Textbooks in Mathematics

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Paperback. This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics.The texts three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any order, allowing teachers ample flexibility. Each chapter begins with an elementary introduction and several examples to motivate the concepts and to gradually lead to more advanced material. Landmark theorems are presented with detailed and streamlined proofs; those requiring more complex proofs, such as Arrows theorems on dictatorship, Gibbards theorem on oligarchy, and Gaerdenfors theorem on manipulation, are broken down into propositions and lemmas in order to make them easier to grasp. Simple and intuitive notations are emphasized over non-standard, overly complicated symbols. Additionally, each chapter ends with exercises that vary from computational to prove or disprove types.The Mathematics of Voting and Apportionment will be particularly well-suited for a course in the mathematics of voting and apportionment for upper-level undergraduate and beginning graduate students in economics, political science, or philosophy, or for an elective course for math majors. In addition, this book will be a suitable read for to any curious mathematician looking for an exposition to these unpublicized mathematical applications.No political science prerequisites are needed. Mathematical prerequisites (included in the book) are minimal: elementary concepts in combinatorics, graph theory, order relations, and the harmonic and geometric means. What is needed most is the level of maturity thatenables the student to think logically, derive results from axioms and hypotheses, and intuitively grasp logical notions such as contrapositive and counterexample. This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. …

Codice articolo 9783030147679

Titolo
The Mathematics of Voting and Apportionment (Paperback)
Autore
Sherif El-Helaly
Editore
Springer Nature Switzerland AG, Cham
Anno di pubblicazione
2019
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
3030147673
ISBN 13
9783030147679
Serie
Libro 20 di 32: Compact Textbooks in Mathematics

AussieBookSeller

Truganina, VIC, Australia

Venditore con 5 stelle

Venditore AbeBooks dal 22 giugno 2007

Tariffe di spedizione da Australia a U.S.A.

ArticoloDa 25 a 45 giorni lavorativiDa 8 a 14 giorni lavorativi
Primo articoloEUR 32,93EUR 39,16
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