Memoire Sur Une Propriete Generale D'Une Classe Tres-Etendue de Fonctions Transcendantes" by N.H. Abel [Published in "Memoires Presentes Par Divers Savants a L'Academie Royale Des Sciences de L'Institut de France,... Tome Septieme"] [Together with]: Dr. C.H. Schultz-Schultzenstein's "Vaisseaux Du Latex", Dr. Poiseulle's "Recherches Sur Les Causes Du Mouvement Du Sang Les Vaisseaux Capillaires", and Leon Dufour's "Recherches Anatomiques Et Physiologiques Sur Les Orthopteres, Les Hymenopteres Et Les Nevropteres". [4 Works in One Volume].
Paris: Imprime par autorisation du Roi a l'Imprimerie Royale, 1841. 1841. RARE FIRST EDITION OF THIS MOST SIGNIFICANT WORK BY "THE MOZART OF MATHEMATICS" - NEILS HENRIK ABEL - Quarto, 11 inches high by 8-3/4 inches wide. Softcovers, once bound in printed light blue wraps, titled in black on the front cover and the spine. The text-block is tight. However the chipped front cover is detached with several large pieces torn from the edges and the rear cover is lacking. [vi] & 647 deckle-edged pages, illustrated with 42 folding plates. The overlapping edges of the leaves are creased with some occasional chipping. The top edge of a few pages are darkened, and there is some minor occasional spots of foxing in this otherwise bright unopened and uncut volume. The four works contained within this volume are as follows: 1. Schultz-Schultzenstein, Dr. Carl Heinrich. "[Les Vaisseaux du Latex]: Memoire pour servir de reponse aux questions de l'Academie royale des sciences pour l'annee 1833". The work consists of pages -104, plus 23 folding plates engraved by Vielle after drawings by Schultz. The German physician and botanist Carl Heinrich Schultz-Schultzenstein (1798-1871) was the author of sensational and controversial studies on the sap movement of plants. He developed the "moulting theory" that animal life is not a chemical metabolism but a continuous internal alteration of the creation and death of rejuvenated forms. In his work on the physiology of plants, Schultz-Schultzenstein proposed that plants had a nutrient sap whose cycle corresponds to that of blood. He also proposed the idea that every part of a plant consisted of cells, vessels and epidermis forming anaphytons which were each capable of producing a new plant. 2. Poiseuille, Dr. Jean-Leonard-Marie. "Recherches Sur les Causes du Mouvement du Sang dans les Vaisseaux Capillaires". This work consists of pages -175, plus 6 engraved folding plates. An early printing of Jean Leonard Marie Poiseuille's (1797-1869) experiment in microcirculation which earned him his first prize [le prix de physiologie experimentale] and which laid the groundwork for his famous equation, the "Hagen-Poiseuille equation" also known as "Poiseulle's Law". The equation, as with the theme of this paper, applies to the laminar flow of liquids through pipes of uniform sections as is the case with that of the flow of blood through capillaries and veins. Poiseuille's invention of a nanometer to measure the blood pressure of horses and dogs led to the development of the Poiseuille-Ludwig hemodynometer which was used through the middle of the twentieth century. 3. Abel, Neils Henrik. "Memoire sur une Propriete Generale d'une classe tres-etendue de Fonctions Transcendantes". This work consists of pages -264. This is the RARE FIRST EDITION of Abel's significant work which gave rise to "Abel's Theorem" on algebraic curves. The Norwegian mathematician Niels Henrik Abel (1802-1829) made important contributions to a variety of fields during his brief life, the most famous of which was in resolving one of the most outstanding mathematical problems of his day. Abel demonstrated that there is no general algebraic solution which would resolve quintic equations in radicals thus laying the foundation for group theory. He then went on, at the age of 22, to write a fundamental work which lay the foundations for the theory of elliptic functions. Abel had first presented his "Memoire.." to the Academy of Sciences in 1826. Augustin-Louis Cauchy, one of the the 2 scientists who were to evaluate the paper, declared the manuscript illegible and Abel returned to Norway in poverty and died of tuberculosis but a couple of years later. The paper resurfaced when Abel's rival Carl Gustav Jacobi inquired about it leading Cauchy to unearth it. Legendre, one of the Academy's members, declared it "a monument more lasting than bronze". In a September 3, 2020 article entitled "The Mozart of Mathematics - Neils Henrik Abel", Jorgen Veisdal quotes Felix Klein who wrote of the short-lived genius: "Although Abel shared with many mathematicians a complete lack of musical talent, I will not sound absurd if I compare his kind of productivity and his personality with Mozarts." 4. Dufour, Leon Jean Marie. "Recherches Anatomiques et Physiologiques sur les Orthopteres, les Hymenopteres et les Nevropteres". The work consists of pages -647, plus 13 folding plates, engraved after drawings by Dufour. In this classic work, the French medical doctor and naturalist Leon Jean Marie Dufour (1780-1865) examined the digestive canal, studying the mechanical handling of food by the alimentary canal of the Orthoptera order of insects which is comprised of the grasshoppers, locusts and crickets, and closely related insects such as the katydids and weta. His paper also considered the order of insects called Hymenopotera which includes sawflies, wasps, bees and ants, and the order of insects called Neuroptera, net-winged insects which include lacewings, mantidflies, antlions, and their relatives. Dufour, who studied medicine in Paris, participated in the Peninsular War as a doctor in the army. Dufour's gland, an abdominal gland found in females of the Aprocrita suborder of insects, is named after him. RARE. Good .
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Keywords: SCIENCE; MATHEMATICS; BIOLOGY; ALGEBRA; NATURAL HISTORY; NATURALISTS; MEDICINE; NEILS HENRIK ABEL; MEMOIRE SUR UNE PROPRIETE GENERALE D'UNE CLASSE TRES-ETENDUE DE FONCTIONS TRANSCENDANTES; ABEL'S THEOREM ON ALGEBRAIC CURVES; TRANSCENDENT FUNCTIONS