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Elwes R: Huge Numbers

Huge Numbers

How We Gave Computers the Power to Choose for Us

The Irrational Decision

Engineers, designers, applied mathematicians, physicists, and historians of science can now directly access James Clerk Maxwell's seminal ideas in structural mechanics. Annotations of his texts combined with summaries of the latest research show how this often-overlooked aspect of Maxwell's work has immediate relevance for 21st-century design.

James Clerk Maxwell and 21st-Century Structural Mechanics

The Geometry of Equilibrium

Elements in the Philosophy of Mathematics

"This Element introduces a young field, the 'philosophy of mathematical practice'. We first offer a general characterisation of the approach to the philosophy of mathematics that takes mathematical practice seriously and contrast it with 'mathematical philosophy'. The latter is traced back to Bertrand Russell and the orientation referred to as 'scientific philosophy' that was active between 1850 and 1930. To give a better sense of the field, the Element further contains two examples of topics studied, that of mathematical structuralism and visual thinking in mathematics. These are in part presented from a methodological point of view, focussing on mathematics as an activity and questions related to how mathematics develops. In addition, the Element contains several examples from mathematics, both historical and contemporary, to illustrate and support the philosophical points"--

The Element introduces the philosophy of mathematical practice, which takes mathematical practice and contrasts it with mathematical philosophy, a term traced back to Bertrand Russell's scientific philosophy. It discusses mathematical structuralism and visual thinking, focusing on methodological aspects and historical and contemporary examples.

Introducing the Philosophy of Mathematical Practice

Dieses Buch deckt alle relevanten mathematischen Themen eines Grundstudiums der Natur- oder Ingenieurwissenschaften ab, von der Analysis (inklusive einer ausführlichen Behandlung gewöhnlicher Differentialgleichungen mitsamt Modellierungsaspekten) und der linearen Algebra bis hin zu den wichtigsten Lösungsmethoden für partielle Differentialgleichungen. Das selbstständige Erlernen der Inhalte wird durch zahlreiche anwendungs- und praxisrelevante Beispiele motiviert und durch interaktive Aufgaben, verlinkte Videos und Repetitionsfragen gefördert. 
 Außerdem werden die Studierenden durch direkt in den entsprechenden Programmen bearbeitbare Dateien befähigt, mit den gängigsten Computer-Algebra-Systemen zu arbeiten, wodurch die eigene Auseinandersetzung mit der Materie weiter unterstützt wird.
 Insgesamt wird hier nicht nur eine äußerst geschickte didaktische Herangehensweise an die Mathematik umgesetzt, sondern die Themen werden zudem mit modernsten multimedialen Mitteln aufbereitet.&nbsp;&nbsp;Die AutorinDr. Laura Keller
 ist Senior Scientist an der ETH Zürich, also einerseits als Dozentin und andererseits als Forscherin tätig. Insbesondere hält sie seit mehreren Jahren Grundstudium-Mathematik-Vorlesungen für Studierende, die Mathematik nicht als Hauptfach belegen. Diese Vorlesungen sind bei den Studierenden nicht zuletzt wegen des großen didaktischen Geschicks der Dozentin und den vielen Praxisbezügen sehr geschätzt.

Dieses Buch deckt alle relevanten mathematischen Themen eines Grundstudiums der Natur- oder Ingenieurwissenschaften ab, von der Analysis (inklusive einer ausführlichen Behandlung gewöhnlicher Differentialgleichungen mitsamt Modellierungsaspekten) und der linearen Algebra bis hin zu den wichtigsten Lösungsmethoden für partielle Differentialgleichungen. Das selbstständige Erlernen der Inhalte wird durch zahlreiche anwendungs- und praxisrelevante Beispiele motiviert und durch interaktive Aufgaben, verlinkte Videos und Repetitionsfragen gefördert. 
 Außerdem werden die Studierenden durch direkt in den entsprechenden Programmen bearbeitbare Dateien befähigt, mit den gängigsten Computer-Algebra-Systemen zu arbeiten, wodurch die eigene Auseinandersetzung mit der Materie weiter unterstützt wird.
 Insgesamt wird hier nicht nur eine äußerst geschickte didaktische Herangehensweise an die Mathematik umgesetzt, sondern die Themen werden zudem mit modernstenmultimedialen Mitteln aufbereitet.&nbsp;&nbsp;

für Naturwissenschaftler, Ingenieure und Mediziner

Mathematik interaktiv und verständlich

Leibniz from Oxford

This volume gathers together the philosophical journal articles that appeared during Leibniz's lifetime, as a companion to Leibniz: Journal Articles on Natural Philosophy (OUP, 2023). The articles include seminal original works, responses to criticisms, and series of critical discussions of Descartes and Cartesian philosophy.

This volume gathers together the philosophical journal articles that appeared during Leibniz's lifetime, as a companion to Leibniz: Journal Articles on Natural Philosophy (OUP, 2023). The articles include seminal original works, responses to criticisms, and series of critical discussions of Descartes and Cartesian philosophy.

Leibniz: Journal Articles on Philosophy

This volume brings together twelve essays exploring the history of theories of definition and essence in Western philosophy from Aristotle to Kant. Its broad historical sweep also facilitates comparisons between different figures.

This volume brings together twelve essays exploring the history of theories of definition and essence in Western philosophy from Aristotle to Kant. Its broad historical sweep also facilitates comparisons between different figures.

Definition and Essence from Aristotle to Kant

British Society for the History of Philosophy:New Texts in the History of Philosophy

This is a selection of 12 original Latin texts by Leibniz on the metaphysics of the infinite, 10 of which are accurately transcribed and edited for the first time. Each paper is accompanied by a commentary explaining its significance for understanding Leibniz's thought, situating it in the context of other writings in the Leibnizian corpus.

Leibniz: Writings on the Metaphysics of the Infinite

Princeton Mathematical Series

Princeton Legacy Library

An authoritative introduction to the essential features of étale cohomology A. Grothendieck’s work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced étale cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to étale cohomology, covering the essential features of the theory. Milne begins with a review of the basic properties of flat and étale morphisms and the algebraic fundamental group. He then turns to the basic theory of étale sheaves and elementary étale cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Milne proves the fundamental theorems in étale cohomology—those of base change, purity, Poincaré duality, and the Lefschetz trace formula—and applies these theorems to show the rationality of some very general L-series.

Étale Cohomology

Advances in Metaheuristics

Moth-Flame Optimization algorithm is an emerging meta-heuristic published in 2015. This book provides in-depth analysis of this algorithm and the existing methods to cope with challenges. It proposes improvements, variants, and hybrids of this algorithm. Applications are also covered to demonstrate the applicability of methods in this book.

Variants, Hybrids, Improvements, and Applications

Handbook of Moth-Flame Optimization Algorithm

A TLS BOOK OF THE YEAR 'Anaximander is a delight and so is this book' -- James McConnachie, Sunday Times Now widely available in English for the first time, this is Carlo Rovelli's first book: the thrilling story of a little-known man who created one of the greatest intellectual revolutions Over two thousand years ago, one man changed the way we see the world. Since the dawn of civilization, humans had believed in the heavens above and the Earth below. Then, on the Ionian coast, a Greek philosopher named Anaximander set in motion a revolution. He not only conceived that the Earth floats in space, but also that animals evolve, that storms and earthquakes are natural, not supernatural, that the world can be mapped and, above all, that progress is made by the endless search for knowledge. Carlo Rovelli's first book, now widely available in English, tells the origin story of scientific thinking: our rebellious ability to reimagine the world, again and again. Translated by Marion Lignana Rosenberg

A TLS BOOK OF THE YEAR 'Anaximander is a delight and so is this book' -- James McConnachie, Sunday Times Now widely available in English for the first time, this is Carlo Rovelli's first book: the thrilling story of a little-known man who created one of the greatest intellectual revolutions Over two thousand years ago, one man changed the way we see the world. Since the dawn of civilization, humans had believed in the heavens above and the Earth below. Then, on the Ionian coast, a Greek philosopher named Anaximander set in motion a revolution. He not only conceived that the Earth floats in space, but also that animals evolve, that storms and earthquakes are natural, not supernatural, that the world can be mapped and, above all, that progress is made by the endless search for knowledge. Carlo Rovelli's first book, now widely available in English, tells the origin story of scientific thinking: our rebellious ability to reimagine the world, again and again. Translated by Marion Lignana Rosenberg

And the Nature of Science

Anaximander

Get the whole story on fractions Fractions are one of the toughest concepts to master for young mathematicians. Fractions For Dummies makes it easier, with clear explanations, step-by-step solutions, and plenty of example problems-including word problems and tips on how to solve them. You'll also explore the world of decimals and percentages, and you'll learn how all these concepts are related. Students who understand fractions can cook, budget, tip at restaurants, and succeed in their future math learning. Make fractions a piece of pie with this Dummies guide! Inside... <ul><li>Basic math operations with fractions</li> <li>Clear, easy explanations</li> <li>Tips for solving word problems</li> <li>Convert between fractions, decimals, and percents</li> <li>Working with mixed numbers</li> <li>New fraction strategies being taught in schools</li></ul>

Fractions For Dummies

Huge Numbers

Bibliografische Angaben

Schlagworte

Bibliografische Angaben

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