Number Systems
Delivery estimate
Please enter a valid 4-digit Australian postcode.
to ·
Delivery estimate
Please enter a valid 4-digit Australian postcode.
to ·
Number Systems
Description
Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.
The book continually seeks to build upon students' intuitive ideas of how numbers and arithmetic work, and to guide them towards the means to embed this natural understanding into a more structured framework of understanding. The author’s motivation for writing this book is that most previous texts, which have complete coverage of the subject, have not provided the level of explanation needed for first-year students. On the other hand, those that do give good explanations tend to focus broadly on Foundations or Analysis and provide incomplete coverage of Number Systems.
Features
- Approachable for first year undergraduates, but still of interest to more advanced students and postgraduates
- Does not merely present definitions, theorems and proofs, but also motivates them in terms of intuitive knowledge and discusses methods of proof
- Draws attention to connections with other areas of mathematics
- Plenty of exercises for students, both straightforward problems and more in-depth investigations
- Introduces many concepts that are required in more advanced topics in mathematics
New to the second edition
- Complete solutions to all exercises, and hints for the in-depth investigations
- Extensive changes to chapters 4 and 5, including defining integral domains as distinct from commutative rings, a more complete discussion of irreducibles, primes and unique factorisation, and more topics in elementary number theory
- A completely revised chapter 8, giving a more coherent account of quadratic rings and their unique (or non-unique) factorisation properties
- A thorough correction of typos and errors across all chapters
- Updates to the bibliography
Shipping & Processing
This item is in stock with our supplier and usually ships within 2–5 business days.
Processing times
- In stock: Items marked “In Stock” are on our shelves. We pick, pack and ship them within 1–2 business days.
- In stock with our supplier: Items not marked “In Stock” are held by one of our Australian or overseas suppliers. We order them in for you and they usually dispatch within 2–5 business days (3–5 for some suppliers). The estimate next to the price is for this item.
- Special orders: Some supplier items, such as specialist and imported items, titles awaiting reprint and print-on-demand titles, take longer to arrive. If your order includes one, we’ll update you as soon as we hear from our supplier.
- Supplier delays: Occasionally a supplier is delayed, or their stock information turns out to be inaccurate. We’ll keep your order open for up to 60 days. If an item hasn’t shipped or isn’t on its way to us by then, we’ll cancel that item and refund it.
How accurate is availability?
Availability is based on the stock levels our suppliers tell us they hold, and we update it regularly. If a supplier issue affects your order, we’ll let you know with an updated estimate.
Delivery
- As soon as your order ships you’ll get an email with tracking.
- Australia Post usually delivers within 2–10 business days of shipping (around 4 in metro areas and around 6 in regional areas).
- If your order has more than one item, we hold the in-stock items until everything is ready, so we can ship your whole order together in one parcel.
- Shipping cost: Free on orders over $100 within Australia, otherwise $9.95 flat rate per order however many items you buy. Free shipping applies to Australian addresses only; delivery to New Zealand is $14.95 per order.
- Check your address: If an order goes to an incorrect address you gave us, or isn’t collected and Australia Post returns it to us, you’ll need to pay the postage to send it again.
Cancellations
Need to change or cancel an order? Contact us as soon as possible at contact@bookloop.com.au or through our contact page.
- Within 30 minutes: You can change or cancel your order for a full refund within 30 minutes of placing it.
- After 30 minutes: Your order is already being processed, so it can no longer be changed or cancelled. If we can accept a late cancellation, we may offer store credit instead of a refund.
- Items in transit: Once an item is on its way, either from our supplier to us or from us to you, it can’t be cancelled. If you no longer want it once it arrives, you can return it as a change of mind, with return postage at your cost. See Returns.
- Separate orders can’t be combined once they’ve been placed, and adding or swapping items can change the delivery estimate.
- Supplier delays: Occasionally a supplier is delayed, or their stock information turns out to be inaccurate. We’ll keep your order open for up to 60 days. If an item hasn’t shipped or isn’t on its way to us by then, we’ll cancel that item and refund it.
Faulty or damaged items are always covered. See Returns.
Returns
Damaged or incorrect items (within 30 days)
If an item arrives damaged or isn’t what you ordered, contact us within 30 days of delivery. We may ask for a photo, and if we need the item back we’ll send a prepaid return label, so it costs you nothing. You’ll receive a replacement or refund, as guaranteed under the Australian Consumer Law.
Change of mind (within 30 days)
We offer a refund or store credit for change of mind within 30 days of purchase when:
- you have your proof of purchase;
- the item is unused and in its original condition and packaging;
- it isn’t a sale item, special order, custom item or gift voucher.
You pay the postage to return change-of-mind items. Change-of-mind returns aren’t available for print-on-demand titles or bulk orders with special pricing.
Returned to sender
If an order is sent to an incorrect address you gave us, or isn’t collected and Australia Post returns it to us, you’ll need to pay the postage to send it again.