Download E-books History of the Theory of Numbers, Volume II: Diophantine Analysis (Dover Books on Mathematics) PDF

The three-volume sequence History of the idea of Numbers is the paintings of the celebrated mathematician Leonard Eugene Dickson, who taught on the college of Chicago for 4 a long time and is well known for his many contributions to quantity conception and staff idea. This moment quantity within the sequence, that is appropriate for upper-level undergraduates and graduate scholars, is dedicated to the topic of diophantine research. it may be learn independently of the previous quantity, which explores divisibility and primality, and quantity III, which examines quadratic and better forms.
Featured subject matters comprise polygonal, pyramidal, and figurate numbers; linear diophantine equations and congruences; walls; rational correct triangles; triangles, quadrilaterals, and tetrahedra; the sums of 2, 3, 4, and n squares; the variety of recommendations of quadratic congruences in n unknowns; Liouville's sequence of eighteen articles; the Pell equation; squares in arithmetical or geometrical development; equations of levels 3, 4, and n; units of integers with equivalent sums of like powers; Waring's challenge and comparable effects; Fermat's final theorem; and plenty of different comparable topics. Indexes of authors mentioned and topics seem on the finish of the book.

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Download E-books Pi: A Biography of the World's Most Mysterious Number PDF

By Alfred S. Posamentier

All of us realized that the ratio of the circumference of a circle to its diameter is named pi and that the price of this algebraic image is approximately 3.14. What we were not advised, although, is that at the back of this possible mundane truth is an international of puzzle, which has interested mathematicians from precedent days to the current. easily positioned, pi is bizarre. Mathematicians name it a "transcendental quantity" simply because its worth can't be calculated by way of any mixture of addition, subtraction, multiplication, department, and sq. root extraction.

In this pleasant layperson's creation to at least one of math's best phenomena, Drs. Posamentier and Lehmann evaluate pi's heritage from prebiblical instances to the twenty first century, the numerous a laugh and mind-boggling methods of estimating pi over the centuries, quirky examples of obsessing approximately pi (including an try and legislate its distinct value), and helpful functions of pi in daily life, together with statistics.

This enlightening and stimulating method of arithmetic will entertain lay readers whereas bettering their mathematical literacy.

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Download E-books Automorphe Formen (Springer-Lehrbuch Masterclass) (German Edition) PDF

By Anton Deitmar

Das Buch bietet eine Einführung in die Theorie der automorphen Formen. Beginnend bei klassischen Modulformen führt der Autor seine Leser hin zur modernen, darstellungstheoretischen Beschreibung von automorphen Formen und ihren L-Funktionen. Das Hauptgewicht legt er auf den Übergang von der klassischen, elementaren Sichtweise zu der modernen, durch die Darstellungstheorie begründete Herangehensweise. Diese artwork der Verbindung von klassischer und moderner Sichtweise battle in der Lehrbuchliteratur bisher nicht zu finden.

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Download E-books Nevanlinna's Theory of Value Distribution: The Second Main Theorem and its Error Terms (Springer Monographs in Mathematics) PDF

By William Cherry

This monograph serves as a self-contained advent to Nevanlinna's idea of price distribution in addition to a worthwhile reference for study experts. Authors current, for the 1st time in booklet shape, the main smooth and sophisticated models of the second one major Theorem with specified blunders phrases, in either the geometric and logarithmic spinoff dependent ways. a special function of the monograph is its quantity theoretic digressions those unique sections suppose no heritage in quantity idea and discover the intriguing interconnections among Nevanlinna idea and the speculation of Diophantine approximation.

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Download E-books My Numbers, My Friends: Popular Lectures on Number Theory PDF

By Paulo Ribenboim

This option of expository essays via Paulo Ribenboim can be of curiosity to mathematicians from all walks. Ribenboim, a hugely praised writer of a number of well known titles, writes each one essay in a gentle and funny language with no secrets and techniques, making them completely available to every person with an curiosity in numbers. This new assortment contains essays on Fibonacci numbers, major numbers, Bernoulli numbers, and old displays of the most difficulties referring to straightforward quantity conception, equivalent to Kummers paintings on Fermat's final theorem.

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Download E-books Algebraische Zahlentheorie (Springer-Lehrbuch Masterclass) (German Edition) PDF

By Jürgen Neukirch

Algebraische Zahlentheorie: eine der traditionsreichsten und aktuellsten Grunddisziplinen der Mathematik. Das vorliegende Buch schildert ausführlich Grundlagen und Höhepunkte. Konkret, glossy und in vielen Teilen neu. Neu: Theorie der Ordnungen. Plus: die geometrische Neubegründung der Theorie der algebraischen Zahlkörper durch die "Riemann-Roch-Theorie" vom "Arakelovschen Standpunkt", die bis hin zum "Grothendieck-Riemann-Roch-Theorem" führt.

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