Kotaro Yamada – författare

After starting an economic revolution in the city of Dormundt, the high school prodigies are up to their eyeballs in money and resources. Having also managed to save Li'l Roo from a life of slavery, they take a well-deserved rest. Their break is cut short, however, when "Silver Knight" Inzaghi decides to attack Elm Village, pillage its newfound wealth, and abduct poor Lyrule as a concubine for the feudal lord. All hope seems lost when the best options are to either sacrifice Lyrule's freedom or put the villagers in jeopardy. But if anyone can find a solution, it's the prodigies-they have the power to shake the foundations of any world!

After spreading the word of their religion and garnering support from the people, the high school prodigies prepare to head into war with the Empire at the close of winter. However, Duke Gustav throws a wrench—or rather, a spear—into their plans when he suddenly launches “Rage Soleil”! Barreling toward the Findolph domain, the magical weapon’s furious flames threaten to burn the region to a crisp. Will Gustav have his way and exterminate those who stand against the Emperor? Not if the prodigies have anything to say about it!

The high school prodigies, now known to the world as the leaders of the Republic of Elm, have negotiated a cease-fire with the Freyjagard Empire. This unexpected peace is a welcome relief, but while most of the prodigies are now hard at work helping Elm put its best foot forward, Lyrule and Ringo have suddenly decided to have a showdown—which one of them can confess to Tsukasa first?!

As the day of the goss currency exchange draws near, it’s finally time for Masato Sanada, Earth’s greatest businessman, to show this new world what he can really do. With no way to get the gold the Republic of Elm needs to mint coins, will his powers of negotiation and lateral thinking be enough to turn the tables on the countries working against him? But Elm’s troubles are not limited to the realm of finance—the reemergence of the Yamato Empire forebodes not only renewed tensions with Freyjagard but domestic strife as well...

Though the high school prodigies’ revolution had been going smoothly so far, all that changes when the Blue Brigade conspires with the empire to betray them. Worse still, they soon find that Gustav, presumed dead, is very much still alive and zealously intent on stopping them in their tracks. And for some reason, the warning he gives them haunts Tsukasa’s dreams: “Such hubris, for a common impostor. We cannot save humanity.”

After turning the tables on the Yamato dominion’s overwhelmingly more powerful forces, the high school prodigies press their advantage all the way to the inner defenses of their enemy’s stronghold, Azuchi Castle. To stop them in their tracks, Princess Mayoi casts another cruel spell on the Yamato people, weaponizing them against Tsukasa and the other prodigies! As Tsukasa determines how to move forward with the fewest casualties possible, Mayoi’s tragic past and the dark truth that Yamato was founded on will be revealed…

Conquering a third domain, working toward a democratic nation, and gaining the will of the people—the high school prodigies are on a roll, winning one victory after another! But even they aren’t entirely invincible, as Tsukasa and Ringo are ordered to take three days of bed rest due to overwork. And their downtime includes the two…going on a date?!

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.

"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.