We use addition on a daily basis--yet how many of us stop to truly consider the enormous & remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating & accessible look at numbers & number theory & how we apply beautiful numerical properties to answer math problems Mathematicians Avner Ash & Robert Gross explore addition's most basic characteristics as well as the addition of squares & other powers before moving onward to infinite series modular forms & issues at the forefront of current mathematical research Ash & Gross tailor their succinct & engaging investigations for math enthusiasts of all backgrounds Employing college algebra the first part of the book examines such questions as can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus & examines infinite series--long sums that can only be defined by the concept of limit as in the example of 11214? With the help of some group theory & geometry the third section ties together the first two parts of the book through a discussion of modular forms--the analytic functions on the upper half-plane of the complex numbers that have growth & transformation properties Ash & Gross show how modular forms are indispensable in modern number theory for example in the proof of Fermat's Last Theorem Appropriate for numbers novices as well as college math majors Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers ...

Sorcerer Mickey Mouse soars high above the music & marvel in this Fantasia inspired effigy With fantastical colours & intricate designs this Jim Shore masterpiece wraps a magical story in its wave & will bring enchantment to your home Unique variations should be expected as this product is hand painted Packed in a branded gift box Not a toy or children's product Intended for adults only Disney traditions figurine Designed by Jim Shore Folk art inspired patterns with bold colours Handmade & hand painted Branded gift box ...

We are all puppets in the hands of the Benders Shiva joins the Summoner Wars as the Benders Second Summoner! This Second Summoner deck is a full faction deck with its own Summoner set-up card Champions Commons Walls & Event Cards It requires a Summoner Wars Master Set or Starter Set to play Set Contents Shiva
- Summoner Puppetmaster
- Champion Lem
- Champion Haku
- Champion 7 Puppets
- Common 6 Sirens
- Common 5 Shifters
- Common 3 Animate
- Event 2 Restitch
- Event 2 Hinder
- Event 2 Wither
- Event 3 Wall Cards 1 Summoner Reference Card










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The Mother Gem calls Brath joins the Summoner Wars as the Deep Dwarves Second Summoner! This Second Summoner deck is a full faction deck with its own Summoner set-up card Champions Commons Walls & Event Cards It requires a Summoner Wars Master Set or Starter Set to play Note Ahead of pre-orders shipping know that a limited amount of copies will be sent directly to Origins Game Fair & available at MSRP These copies will be entirely separate from the pre-orders of the game & we will not be offering a pre-order pick up at Origins Game Fair While we hope for the pre-orders to be shipped prior to the show we can’t guarantee their arrival prior to getting to the show Set Contents Brath
- Summoner Aurora
- Champion Noa
- Champion Drek
- Champion 7 Gem Golems
- Common 6 Gem Archers
- Common 5 Geomancers
- Common 2 Call of the Mother Gem
- Event 2 Gift from the the Mother Gem
- Event 2 Will of the Mother Gem 2 Back to the Deep
- Event 1 Magic Strike 3 Wall Cards 1 Summoner Reference Card 1 Stone Spire Card









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He is Ret-Talus the Rotten King a decayed thing over two thousand years old & one of the most intelligent creatures ever to exist She is Sera Eldwyn prodigy general Grandmaster of the Vanguards The day will come when these two summoners must face each other & one shall be the other&s undoing! Will you take up arms as the righteous humans of the Vanguards using protection & healing magic to stand firm upon the battlefield in defense of the downtrodden? Or will you lead the undead hordes of the Fallen Kingdom making any fiendish sacrifice necessary as you wield the dark necrotic arts in pursuit of the subjugation of the world? Each Faction Deck

Includes:: everything needed to play a completely new Faction & requires a copy of the Summoner Wars Starter Set to play

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They are a barbaric tribe of demon worshipers They burn & despoil what traces of civilization they can find They have no name for themselves but other call them the Filth At night their camps echo with the screams of prisoners & the gibbering of madmen Bodies bend & snap as they are wracked by mutation
- dark payment earned with dark rituals Age range 9 & up Number of players 2 Play time 30 to 60 minutes
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Bloodshed in the Mountains Oldin of the Guild Dwarves has called for aid & his brethren have answered! The headstrong champion Grungor has arrived He is always eager to rush into battle & he has brought with him the priest Tordok who uses defensive runes to protect his fellow Dwarves Joining them is the vicious fighter Halvor who would gladly sacrifice himself to land a killing blow on an enemy soldier These mighty champions are followed by the stoutest of Dwarf warriors known as Guardsmen whose armor lets them shrug off blows that would fell ordinary folk & the Dwarves have not stopped there
- joining the fray are ancient siege weapons Dwarven Ballistas are stronger than those employed by other folk
- they fire bolts that can punch straight through solid stone! But the Cave Goblin Sneeks has not been idle He too has drafted new troops to his cause including the opportunistic champions Reeker & Krag & the frighteningly strange shaman known as Scagg Strange cries fill the air as Beast Riders swarm from their mountain dens These Goblins ride strange creatures into battle quickly overrunning the enemy Goblin Climbers appear at the highest mountain ridges firing their bows as they advance These warriors care little for fortifications scaling the strongest of walls with ease & as the Dwarves & Goblins prepare to escalate their ancient war even stranger warriors appear on the field of battle! The mercenary champion Malevolence offers her magic blade to the highest bidder & the plague-ridden Vermin will fight for any army that will brave their diseased presence This reinforcement pack is the perfect addition to your Guild Dwarves vs Cave Goblins starter set allowing you to bring new troops to the War for Itharia & experience the excitement of deck construction Grungor´s Charge

Includes::
- 32 Cards Guild Dwarves •1 Grungor
- Champion •1 Halvor
- Champion •1 Tordok
- Champion •5 Guardsmen
- Common •5 Ballistas
- Common Cave Goblins •1 Reeker
- Champion •1 Krag
- Champion •1 Scagg
- Champion •5 Beast Riders
- Common •5 Climbers
- Common Mercenaries •1 Malevolence
- Champion •5 Vermin
- Common
















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A Summoner gone rouge calls on the mercenaries of Itharia to aid him in his cause 2 to 4 players 30 minutes playtime ...

Charge forward with reckless abandon overwhelming your opponent with all new Goatmen Malenatar joins the Summoner Wars as the Mountain Vargath Second Summoner! This Second Summoner deck is a full faction deck with its own Summoner set-up card Champions Commons Walls & Event Cards It requires a Summoner Wars Master Set or Starter Set to play Set Contents Malenatar
- Summoner Varden
- Champion Kadros
- Champion Ossa
- Champion 7 Aspirants
- Common 6 Guards
- Common 5 Commanders
- Common 2 Unify
- Event 2 Superior Execution
- Event 2 Onslaught
- Event 2 Superior Planning
- Event 1 Battle Procurement
- Event 3 Wall Cards 1 Summoner Reference Card











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An esteemed leader gathers a new crew of Sand Goblins Scraven joins the Summoner Wars as the Sand Goblins Second Summoner! This Second Summoner deck is a full faction deck with its own Summoner set-up card Champions Commons Walls & Event Cards It requires a Summoner Wars Master Set or Starter Set to play Set Contents Scraven
- Summoner Cyrus
- Champion Sand Drake
- Champion Dinky
- Champion 7 Hunters
- Common 6 Flingers
- Common 5 Wraiths
- Common 2 Barrage
- Event 2 Bloodthirsty
- Event 2 Send Out
- Event 1 Sand Blast
- Event 1 Strong Wind
- Event 1 Thrust
- Event 3 Wall Cards 1 Summoner Reference Card 1 Event Abilities Rules Card












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