
Title

The Mathematics Of Voting And Apportionment: An Introduction (Compact Textbooks In Mathematics)
Delivery time: 8-12 business days (International)
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, Yesno 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 Grdenfors 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 Nonstandard, 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 Wellsuited For A Course In The Mathematics Of Voting And Apportionment For Upperlevel 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.
By changing our most important processes and
products, we have already made a big leap forward. This ranges from the
increased use of more sustainable fibers to the use of more
environmentally friendly printing processes to the development of
efficient waste management in our value chain.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
Secure Payment
Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.
Secure Payment
Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.