Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Arithmétique --- --Logique --- --Arithmétique --- --Arithmetic --- Mathematics --- Arithmétique --- Mathématiques --- Philosophy --- Philosophie --- Aritmética. --- Números, Teoría de. --- --Aritmética. --- Arithmetic --- Mathématiques --- --Mathématiques --- Logique mathématique --- Philosophy. --- Logique --- Nombre, idée de --- Fondements --- Logique mathématique. --- Nombre, Idée de. --- Number concept. --- Philosophie. --- Fondements. --- Foundations.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Càlcul --- Càlcul infinitesimal --- Límits (Matemàtica) --- Aritmètica --- Anàlisi harmònica --- Anàlisi p-àdica --- Càlcul diferencial --- Càlcul fraccional --- Càlcul mental --- Corbes --- Curvatura --- Equacions diferencials --- Sèries de Fourier --- Superfícies (Matemàtica) --- Teories no lineals --- Anàlisi matemàtica --- Concepte de nombre --- Funcions --- Geometria infinitesimal --- Mètode ABN --- Numeració

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors. Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided “walks” invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin–Faĭnleĭb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at “higher ground”, where they will find opportunities for extensions and applications, such as the Selberg formula, Exponential sums with arithmetical coefficients, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage. Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.

Teoria de nombres --- Multiplicació --- Multiplication. --- Arithmetic --- Ready-reckoners --- Aritmètica --- Teoria dels nombres --- Àlgebra --- Anàlisi diofàntica --- Arrels de la unitat --- Congruències i residus --- Conjectura de Catalan --- Darrer teorema de Fermat --- Formes automorfes --- Formes quadràtiques --- Fórmula de traça de Selberg --- Funcions aritmètiques --- Funcions L --- Funcions modulars --- Funcions recursives --- Funcions zeta --- Geometria algebraica aritmètica --- Geometria de nombres --- Grups modulars --- Lleis de reciprocitat --- Nombres de Fermat --- Nombres ordinals --- Nombres p-àdics --- Nombres transfinits --- Numeració --- Particions (Matemàtica) --- Quadrats màgics --- Sedàs (Matemàtica) --- Teorema de Fermat --- Teorema de Gödel --- Teoria algebraica de nombres --- Teoria de Galois --- Cossos algebraics --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Renate Motzer introduces the world of fractions and connects them with decimal numbers. She clearly shows that fractions can be understood as parts of a whole, but also as ratios of two quantities. The author clearly shows why roots cannot be exactly indicated by fractions, how to find good approximations and why an unusual addition of fractions can lead to paradoxical results. Furthermore, she explains the use of fractions in percentage and probability calculations in a practical way and finally discusses different ways of forming mean values. This Springer essential is a translation of the original German 1st edition essentials, Brüche, Verhältnisse und Wurzeln by Renate Motzer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. The contents What are (common) fractions? Fractures as ratios Irrational numbers Conditional probabilities The target groups Lecturers and students of mathematics or students who want to repeat basic knowledge of fractions for their statistics lectures People interested in mathematics, who want to refresh and expand their knowledge from fractions to hypothesis testing from school The Author Dr. Renate Motzer is an academic senior councillor at the Chair for Didactics of Mathematics at the University of Augsburg. Her main focus is the didactic and professional training of future mathematics teachers at various types of schools.

Fraccions --- Nombres fraccionaris --- Nombres trencats --- Aritmètica --- Nombres racionals --- Decimal fractions. --- Mathematics --- Study and teaching. --- Decimals --- Fractions, Decimal --- Fractions --- Algebra. --- Computer arithmetic and logic units. --- Mathematics Education. --- Arithmetic and Logic Structures. --- Study and teaching . --- Arithmetic and logic units, Computer --- Computer arithmetic --- Electronic digital computers --- Mathematical analysis --- Circuits

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Cooperating objects (Computer systems) --- Internet of things. --- Computer architecture. --- Architecture, Computer --- IoT (Computer networks) --- Things, Internet of --- Computer networks --- Embedded Internet devices --- Machine-to-machine communications --- Internet de les coses --- Arquitectura d'ordinadors --- Aritmètica computacional --- Arquitectures de xarxes d'ordinadors --- CORBA (Arquitectura d'ordinadors) --- Enginyeria d'ordinadors --- Internet dels objectes --- Xarxes d'ordinadors