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Abel Integral Equations: Analysis and Applications (Lecture Notes in Mathematics #1461)

In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.

Abductive Reasoning and Learning (Handbook of Defeasible Reasoning and Uncertainty Management Systems #4)

This book contains leading survey papers on the various aspects of Abduction, both logical and numerical approaches. Abduction is central to all areas of applied reasoning, including artificial intelligence, philosophy of science, machine learning, data mining and decision theory, as well as logic itself.

Abduction and Induction: Essays on their Relation and Integration (Applied Logic Series #18)

From the very beginning of their investigation of human reasoning, philosophers have identified two other forms of reasoning, besides deduction, which we now call abduction and induction. Deduction is now fairly well understood, but abduction and induction have eluded a similar level of understanding. The papers collected here address the relationship between abduction and induction and their possible integration. The approach is sometimes philosophical, sometimes that of pure logic, and some papers adopt the more task-oriented approach of AI. The book will command the attention of philosophers, logicians, AI researchers and computer scientists in general.

The ABC’s of Science

Science, with its inherent tension between the known and the unknown, is an inexhaustible mine of great stories. Collected here are twenty-six among the most enchanting tales, one for each letter of the alphabet: the main characters are scientists of the highest caliber most of whom, however, are unknown to the general public.This book goes from A to Z. The letter A stands for Abel, the great Norwegian mathematician, here involved in an elliptic thriller about a fundamental theorem of mathematics, while the letter Z refers to Absolute Zero, the ultimate and lowest temperature limit, - 273,15 degrees Celsius, a value that is tremendously cooler than the most remote corner of the Universe: the race to reach this final outpost of coldness is not yet complete, but, similarly to the history books of polar explorations at the beginning of the 20th century, its pages record successes, failures, fierce rivalries and tragic desperations. In between the A and the Z, the other letters of the alphabet are similar to the various stages of a very fascinating journey along the paths of science, a journey in the company of a very unique set of characters as eccentric and peculiar as those in Ulysses by James Joyce: the French astronomer who lost everything, even his mind, to chase the transits of Venus; the caustic Austrian scientist who, perfectly at ease with both the laws of psychoanalysis and quantum mechanics, revealed the hidden secrets of dreams and the periodic table of chemical elements; the young Indian astrophysicist who was the first to understand how a star dies, suffering the ferocious opposition of his mentor for this discovery. Or the Hungarian physicist who struggled with his melancholy in the shadows of the desert of Los Alamos; or the French scholar who was forced to hide her femininity behind a false identity so as to publish fundamental theorems on prime numbers. And so on and so forth.Twenty-six stories, which reveal the most authentic atmosphere of science and the lives of some of its main players: each story can be read in quite a short period of time -- basically the time it takes to get on and off the train between two metro stations. Largely independent from one another, these twenty-six stories make the book a harmonious polyphony of several voices: the reader can invent his/her own very personal order for the chapters simply by ordering the sequence of letters differently. For an elementary law of Mathematics, this can give rise to an astronomically large number of possible books -- all the same, but - then again - all different. This book is therefore the ideal companion for an infinite number of real or metaphoric journeys.

ABC's of Science

This books is about alpha, beta, and gamma. These are the first three letters of the Greek alphabet. <P> <P> This alphabet was the major method of written communication in ancient times, and is of course still used today. The Greek letters are also the most commonly used symbols in science. In all branches of science, we use symbols to represent ideas and definitions. Symbols serve to simplify communication and calculations—once you get used to them, that is.

Abbildung linearer Räume und Lösung on Lagenaufgaben in allgemeinen K-Systemen

Abacus Year 6, Textbook 3 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 6, Textbook 2 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 6, Textbook 1 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 5, Textbook 3 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 5, Textbook 2 (Abacus 2013)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 5, Textbook 1 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 4, Textbook 3 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 4, Textbook 2 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 4, Textbook 1 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 3, Textbook 3 (PDF)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 3, Textbook 2 (Abacus 2013)

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Abacus Year 3, Textbook 1 (PDF)

Part of the Abacus toolkit, the textbooks provide: the perfect balance of practice and problem-solving for each area of maths pictorial representations to support children's conceptual understanding clearly laid out questions with instructions that are easy to follow a self-assessment opportunity on every page colour to indicate the different maths areas within the programme.

Abacus Year 2 Workbook 3 (Abacus 2013)

Part of the Abacus toolkit, the workbooks provide: easy instructions for a teacher to explain to children an 'Action' to make the activity more practical a 'Think' to provide extra challenge a self-assessment opportunity on every page colour to indicate the different maths areas within the programme. Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Mertten

Abacus Year 2 Workbook 2 (Abacus 2013)

Part of the Abacus toolkit, the workbooks provide: easy instructions for a teacher to explain to children an 'Action' to make the activity more practical a 'Think' to provide extra challenge a self-assessment opportunity on every page colour to indicate the different maths areas within the programme. Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Mertten.

Abacus Year 2 Workbook 1 (Abacus 2013)

Part of the Abacus toolkit, the workbooks provide: easy instructions for a teacher to explain to children an 'Action' to make the activity more practical a 'Think' to provide extra challenge a self-assessment opportunity on every page colour to indicate the different maths areas within the programme. Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Mertten

Abacus Year 2 Textbook (Abacus 2013)

Part of the Abacus toolkit, the textbooks provide: the perfect balance of practice and problem-solving for each area of maths pictorial representations to support children's conceptual understanding clearly laid out questions with instructions that are easy to follow a self-assessment opportunity on every page colour to indicate the different maths areas within the programme. Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Merttens

Abacus (tactile)

This page shows two images of an abacus, each with four rods and a number of beads.

Abacus Shape, Data and Measures Year 3: Textbook (PDF)

This textbook allows independent practice of mathematical skills. It presents the concepts at an appropriate reading level. Activities with an investigative or process-skill focus encourage creative and mathematical thinking. Problem-solving is included. Abacus is a brand new mathematics programme with active teaching at its heart. Abacus offers: a straightforward management system that caters for differentiation unrivalled support in the form of unique Teacher Cards a systematic approach to the development of mental maths strategies.

Abacus Evolve, Year 5: Challenge Textbook, Framework Edition (PDF)

Abacus Evolve Challenge is perfect for ensuring more able children are being stretched to reach their full potential in maths. Challenge contains a range of enrichment and extension activities with a fourth level of differentiation above that found in other programmes.