Kotaro Yamada

The curtain closes on the story of the high school prodigies' revolution in another world! Having put an end to the civil war in Yamato, Tsukasa and the others can finally head for the elf village and put what they learned from Adel's memoir to use. Just who or what exactly is the "wicked dragon" Yggrda, and why did she summon them to this world? As their long journey comes to an end, it's finally time for them to learn the truth...

After turning the tables on the Yamato dominion’s overwhelmingly morepowerfulforces, the high school prodigies press their advantage all the wayto the innerdefenses of their enemy’s stronghold, Azuchi Castle. In adesperate, last-ditch effort towin a battle that appears all but alreadylost, the cornered Princess Mayoi unleashesher brainwashing magic once more. As the fighting spirals out of anyone’s control,Mayoi’s tragicpast and the great, terrible secret of Yamato’s history will berevealed...

Someone is manipulating the Republic of Elm’s first nationalelections from theshadows to fulfill their own selfish desires, andit’s up to God Akatsuki to stop them! Meanwhile, Tsukasa and theResistance carry out a shocking plan to overturn theimmense difference innumbers between them and the Yamato Dominion and takedown this inhumanegovernment...

This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields — singularity theory and differential geometry. The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss–Bonnet theorem for surfaces is generalized to those with singularities. The Gauss–Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities. These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material. Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.

After discovering what Princess Mayoi has done to the minds of the peopleof Yamato, Tsukasa decides to side with the Resistance to overthrow the Yamatogovernment. Meanwhile, the Republic of Elm's national elections are coming to aclose, but will a horrific incident at the last minute end up swaying itsresults...?!

The high school prodigies have secured the Republic of Elm's place in theworld by issuing their new currency, but before they can even catch their breathfrom dealing with the last international crisis, a new one arises in the form ofthe conquered Yamato Empire's Princess Kaguya. When she pleads for the salvationof her country from the Freyjagard Empire under the pretense of the SevenLuminaries' hallowed ideal of "equality for all," the prodigies may have nochoice but to renew tensions with their former foe...

As the day of the Goss Currency Exchange draws near, it's finally time forMasato Sanada, Earth's greatest businessman, to show this new world what he canreally do. In order to ensure a future for the common people, the High SchoolProdigies are ready and able to overturn the entirety of this world's statusquo.

With the successful establishment of the Elm Republic, the FreyjagardEmpire is engulfed in civil war, and the Yamato Empire finds itself embroiled inthe Resistance's battle. Now it's up to Tsukasa, Aoi, and Ringo to lead thecharge using their resourcefulness, prowess in combat, and technologicalmastery!

The prodigies, continuingtheir revolution against the empire, are in for a huge shock when the truth ofthe Blue Brigade's loyalties comes to light! And it seems like surprises aren'tin short supply. Despite the victory the prodigies achieved in the battleagainst Gustav, it may be that the fight against him isn't quiteover...

Conquering a third domain,working toward a democratic nation, and gaining the will of the people-the highschool prodigies are on a roll, winning one victory after another! But even theyaren't entirely invincible, as Tsukasa and Ringo are ordered to take three daysof bed rest due to overwork. And their downtime includes the two...going on adate?!

After successfullygarnering support for their religion, "the Seven Luminaries," the high schoolprodigies prepare to head into an all-out war with the empire. But when Gustavuses magic power to suddenly set everything ablaze in a fit of fury, its up tothis dream team to use their superior abilities and technology to tilt thescales back in their favor!

Taking down the local lord was child's play for theseven high school prodigies, and though they're well on their way to all out warwith the empire, they're first going...to church?! The geniuses set their sightson religion in the alternate realm of Freyjagard, where abuse of power runsrampant in all aspects of society. Intent on wielding their special skillsetsfor the good of the little guy, the brilliant high schoolers set about changingthe world and making history!

After starting an economicrevolution in the city of Dormundt, the high school prodigies are up to theireyeballs in money and resources. They've also managed to save little Roo from alife of slavery, so they've earned a well-deservedrest. That is,until "Silver Knight" Inzaghi decides to attack Elm Village, pillage itsnewfound wealth, and abduct poor Lyrule as a concubine for the feudallord. With thegreatest minds and talents known on Earth, this dream team is now set torevolutionize the other world!!

In Japan, there are seven superhuman highschoolers who are world-classgeniuses in various fields ranging from governance to economics and beyond. Onone fateful day, these seven wind up in a plane accident and wake up only tofind themselves in another world. Finding themselves in a foreign placewhere magic and beast-people are real, they immediately proceed to panic-or atleast that's what would've happened if they were some run of the millstudents!! If anything, these seven are actually using their talents todo absolutely ludicrous things so they can go home..." Let's take iteasy, because if we really let loose, I'm pretty sure we'll end up destroyingthis world."

'In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary function of this book will be as a text for a more conventional course in the classical theory of curves and surfaces.'MAA ReviewsThis engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well. Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. Further material is included, for example, closed curves, enveloping curves, curves of constant width, the fundamental theorem of surface theory, constant mean curvature surfaces, and existence of curvature line coordinates. Surface theory from the viewpoint of manifolds theory is explained, and encompasses higher level material that is useful for the more advanced student. This includes, but is not limited to, indices of umbilics, properties of cycloids, existence of conformal coordinates, and characterizing conditions for singularities. In summary, this textbook succeeds in elucidating detailed explanations of fundamental material, where the most essential basic notions stand out clearly, but does not shy away from the more advanced topics needed for research in this field. It provides a large collection of mathematically rich supporting topics. Thus, it is an ideal first textbook in this field.

'In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary function of this book will be as a text for a more conventional course in the classical theory of curves and surfaces.'MAA ReviewsThis engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well. Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. Further material is included, for example, closed curves, enveloping curves, curves of constant width, the fundamental theorem of surface theory, constant mean curvature surfaces, and existence of curvature line coordinates. Surface theory from the viewpoint of manifolds theory is explained, and encompasses higher level material that is useful for the more advanced student. This includes, but is not limited to, indices of umbilics, properties of cycloids, existence of conformal coordinates, and characterizing conditions for singularities. In summary, this textbook succeeds in elucidating detailed explanations of fundamental material, where the most essential basic notions stand out clearly, but does not shy away from the more advanced topics needed for research in this field. It provides a large collection of mathematically rich supporting topics. Thus, it is an ideal first textbook in this field.