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Indras pearls provides a very well-made introduction to the basics of the theory of discrete groups acting on the complex plane. The whole discussion on the related limit sets had been accomplished in such a hand-by-hand method.
The reader starts from complex numbers and after he is led into the deepest concepts: Möbius trasformations, limit sets of discrete groups (Schottky, Fuchsian, ...).
These limit sets are related to another interesting topic in today maths: complex dynamics on the Riemann sphere (Julia sets, ...).
As known, computer experiments had been fundamental for supporting complex dynamics and the successive success of this latter topic helped to promote and increase the interests for discrete groups too: in fact this book evinces already strong interest in the visualization and in the study of the properties of such limit sets since '80s, due to the efforts of the same authors.
One of the major points of attraction in Indra pearls is that all the theory had been helped by displaying a lot of detailed and colorful pictures which, aside the historical biography of the mathematicians that contributed to this theory, set this book as one of the masterpieces in this topic, for his lucid
and fresh approach to basic concepts.
In addition, the presence of amusing comic-strips, explaining some topological concepts on manifolds (for example), guarantees the easy-learning for the reader and also the approach, as imaginaed and completely accomplished by the authors. In this direction, it is clear how passion had been squandered by authors.
The goal has been reached: finding an easy way to introduce the harsch theory of discrete groups.
Interested readers will be rewarded and also excited.
No doubts: this book strikes and it will be a corner-stone for present and future.
That is, the reader starts from complex numbers and, after, he is taken into deepest concepts as Möbius trasformations and so to discontinuous groups (Schottky, Fuchsian, ...).
Limit sets of kleinian groups are related to another interesting topic in today maths: complex dynamics on the Riemann sphere (Julia sets, ...). The success of this latter topic helped to increase the interests for discontinuous groups too. Indra pearls also witnesses and resumes the last twenty years of efforts spent for studying the properties of the limit sets.
One of the major points of attraction in Indra pearls is that all the theory had been helped by displaying a lot of detailed and colorful pictures which, aside the historical biography of the mathematicians that contributed to this theory, set this book as one of the masterpieces in this topic, for his lucid
and fresh approach to basic concepts.
In addition, the presence of amusing comic-strips, explaining some topological concepts on manifolds, guarantees the easy-learning of the approach, achieved by the authors. In this direction, it could be evinced that authors were really enjoyed while writing.
The goal has been reached: finding an easy way to introduce the harsch theory of discontinuous groups.
Interested readers will be rewarded about their choice and also excited.
D & G decided to bring the hammer down on these reflexive doomsayers, to restore some of the joy and vibrant panache to Kafka studies. They wanted to bring him "'a little of this joy, this amorous political life that he knew how to offer, how to invent. So many dead writers must have wept over what was written about them. [We] hope that Kafka enjoyed the book that we wrote about him'"(xxv). It is useful to recall the evening Kafka read the opening chapter of *The Trial* to his circle of literary friends, assailed by roars of laughter, Kafka himself laughing so hard he had to constantly stop reading to wipe tears from his eyes. The ramifications of this episode have been repressed and overturned by the necrophilic martyrology of a reflexive Kafka scholarship. For here we have gone beyond any mere "laughter of the Abyss," the impish cackle of "black comedy," the doomed precincts of Camus's "cosmology of the Absurd." Kafka's hilarity is a laughter of resistance, of felicity, of squeezing some measure of freedom out of our peremptory and obstructionist universe. As argued in this text, the battle is within and against the political, economic, technological, bureaucratic, judiciary, and linguistic machines which held Kafka's language in thrall to its obstacles and terrors.
Here is a cento of principles developed by D & G in their dissenting text, the prolegomenon to any future in Kafka scholarship:
1. Isolation from the Law is not merely the absence of God (coinciding with the SNAFU of metaphysical realism) but rather entails the eternal suspension of judgement, ultimately an Artaudian desire "to have done with Judgement."
2. The question of ASCESIS. Deleuze has long underscored the idea that when a writer or philosopher espouses an "ascetic" lifestyle it is only as a means to achieving a more subterranean pitch of libertinism (or Life). Kafka had plenty of opportunities for conventional happiness, to live the life of a Max Brod, for example. Rather he followed the witch's wind of literary apprenticeship, a far profounder Life although, from a judgemental distance, appearing monstrous and ill-fated.
3. Kafka's oeuvre is characterized by a complete lack of *complacency*, and stands accordingly as a total rejection of every problematic of Failure. His suicidal fantasies, then, were not merely an agonizing cry of despair, but also a series of unmerciful thought-experiments designed to charge the literary machine, to clear the waters for fresh speculation.
4. Reflexive scholarship tends to move backward from unknowns to knowns (i.e. the castle is God, the beetle is oedipal frustration, the penal colony is fascism, the singing mouse is a writer, and writers are those who express CONTENT and represent THINGS). Rather we should take Walter Benjamin to his limit, by acclimatizing ourselves to a mode of literature "that consists in propelling the most diverse contents on the basis of (nonsignifying) ruptures and intertwinings of the most heterogeneous orders of signs and powers"(xvii).
5. Renovate the battlefield...: reterritorialize Kafka's "metaphysical" estrangement onto the concrete political arrangements with which he engaged throughout his life. Understand the political or "fantasmatic" nature of Kafka's simulations, that his fictions are not merely an allegory of resistance to fascism, but the infiltration of a ruptured sensibility into the fascistic functioning of the Law, a node of deterritorialization inside the torn apart.
6. The desire for innocence is as pernicious as the fetishization of guilt, since both imply an Infinity by which we can define and calibrate Judgement. Justice is desire and not law. Desire is a social investment traversed and legitimized by Kafka's literary machine, which "is capable of anticipating or precipitating contents into conditions that...concern an entire collectivity"(60), which speak for a people that may not be prepared to live through its message.
Perhaps I'm trying too hard to cram difficult arguments into tiny hard-to-swallow capsules. The text itself has to be read to be believed. Perhaps in response to those who felt *Capitalism and Schizophrenia* did not provide enough "concrete examples," D & G have steered their war-machine onto one of the most treacherous and misunderstood literary oeuvres of the preceding century. The result will either leave you cold (as is the case with virtually every reader I've conferred with on this text) or revolutionize your jilted perceptions of a great author.
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Raised in upper class surroundings, he and sister Fanny were certainly cultivated in rich musical and literary heritage. So no surprise that Mendelssohn honored his musical heritiage and was fond of Bach especially.
Climb to fame capsulated well in this biographical look with specific references given at appropriate times on musical and theological insights. This all culminates late in his life with tension over all his duties both musically and family and they take their toil.
Never happy living in Germany, persistently traveling which also for sure took its toll. Creative output continues to reverberate throughtout concert halls.
Truly a tightly written account of significant musical contributor.
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