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Tampilkan postingan dengan label mathematics. Tampilkan semua postingan
Tampilkan postingan dengan label mathematics. Tampilkan semua postingan

The Number Sense: How the Mind Creates Mathematics, Revised and Updated Edition - Stanislas Dehaene

Written By loopin on Kamis, 13 Oktober 2011 | 13.31

The Number Sense: How the Mind Creates Mathematics, Revised and Updated Edition by Stanislas Dehaene
The Number Sense: How the Mind Creates Mathematics, Revised and Updated Edition
by: Stanislas Dehaene

Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist"Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review"Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers

size: 2.37 MB

13.31 | 0 comments

Profinite Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)

Written By loopin on Selasa, 04 Oktober 2011 | 06.04

Profinite Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge   A Series of Modern Surveys in Mathematics)by Luis Ribes, Pavel Zalesskii
Profinite Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)
by: Luis Ribes, Pavel Zalesskii

The aim of this book is to serve both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. The book is reasonably self-contained. Profinite groups are Galois groups. As such they are of interest in algebraic number theory. Much of recent research on abstract infinite groups is related to profinite groups because residually finite groups are naturally embedded in a profinite group. In addition to basic facts about general profinite groups, the book emphasizes free constructions (particularly free profinite groups and the structure of their subgroups). Homology and cohomology is described with a minimum of prerequisites.

size: 37.94 MB
06.04 | 0 comments

Algorithms in Modern Mathematics and Computer Science

Written By loopin on Senin, 03 Oktober 2011 | 10.26

Algorithms in Modern Mathematics and Computer Science

Algorithms in Modern Mathematics and Computer Science: Proceedings, Urgench, Uzbek SSR September 16-22, 1979 (Lecture Notes in Computer Science)
by: A. P. Ershov, D. E. Knuth

size: 7.47 MB
10.26 | 0 comments

Calculus: Early Transcendental Functions, 5th Edition - Ron Larson, Bruce H. Edwards

Calculus: Early Transcendental Functions, 5th Edition by Ron Larson, Bruce H. Edwards
Calculus: Early Transcendental Functions, 5th Edition
by: Ron Larson, Bruce H. Edwards

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, continues to offer users innovative teaching and learning resources. The Larson team always has two main objectives for book revisions: to develop precise, readable materials for users that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for users that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus user. Every edition from the first to the fourth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.

size: 36.17 MB
09.54 | 0 comments

Artificial Economics: The Generative Method in Economics - Cesáreo Hernández

Written By loopin on Sabtu, 01 Oktober 2011 | 19.28

Artificial Economics: The Generative Method in Economics (Lecture Notes in Economics and Mathematical Systems, 631) by Marta Posada
Artificial Economics: The Generative Method in Economics (Lecture Notes in Economics and Mathematical Systems, 631)
by. Cesáreo Hernández, Marta Posada, Adolfo López-Paredes

Simulation is used in economics to solve large econometric models, for large-scale micro simulations, and to obtain numerical solutions for policy design in top-down established models. But these applications fail to take advantage of the methods offered by artificial economics (AE) through artificial intelligence and distributed computing. AE is a bottom-up and generative approach of agent-based modelling developed to get a deeper insight into the complexity of economics. AE can be viewed as a very elegant and general class of modelling techniques that generalize numerical economics, mathematical programming and micro simulation approaches. The papers presented in this book address methodological questions and applications of AE to macroeconomics, industrial organization, information and learning, market dynamics, finance and financial markets.

size: 6.95 MB
19.28 | 0 comments

Matrix Algorithms Volume I: Basic Decompositions - G. W. Stewart

Written By loopin on Jumat, 30 September 2011 | 02.42


Matrix Algorithms Volume I: Basic Decompositions
by G. W. Stewart

This thorough, concise, and superbly written volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions - the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the computation and applications of the LU and QR decompositions. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. A certain knowledge of elementary analysis and linear algebra is assumed, as well as a reasonable amount of programming experience. The guiding principle, that if something is worth explaining, it is worth explaining fully, has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study.

size: 22.13 MB

02.42 | 3 comments

Calculus, Single Variable, Preliminary Edition - Carl V. Lutzer, H. T. Goodwill

Calculus, Single Variable, Preliminary Edition Calculus by Carl V. Lutzer, H. T. Goodwill
Calculus, Single Variable, Preliminary Edition
by: Carl V. Lutzer, H. T. Goodwill

Students and math professors looking for a calculus resource that sparks curiosity and engages them will appreciate this new book. Through demonstration and exercises, it shows them how to read equations. It uses a blend of traditional and reform emphases to develop intuition. Narrative and exercises present calculus as a single, unified subject. Color is used to help them identify and interpret the parts of a mathematical model. In addition, formal proofs are preceded with informal discussions that focus on the ideas about to be presented. Then the proofs are discussed in a way that helps scientists and engineers interpret the details of the argument.

size: 14.24 MB

01.25 | 0 comments

Ordinary Differential Equations: An Introduction to Nonlinear Analysis (Degruyter Studies in Mathematics)

An Introduction to Nonlinear Analysis free download


by: Herbert Amann

size: 5.44 MB

01.01 | 0 comments
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