Masayoshi Hata's Books

Neurons: A Mathematical Ignition

By: Masayoshi Hata

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Neurons: A Mathematical Ignition

By: Masayoshi Hata

This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of “dynamical systems”, even in a single neuron case, enables us to obtain amazingly good rational approximations to the Hecke-Mahler series with two variables. Some interesting numerical applications of our rational approximations are also discussed.This book is fundamentally self-contained and many topics required in it are explained from the beginning. Each chapter contains a number of instructive and mostly original exercises at various levels.

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Page Count

231

Publisher

World Scientific

Published Date

ISBN 10

9814618632

ISBN 13

9789814618632

Problems and Solutions in Real Analysis

By: Masayoshi Hata

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Problems and Solutions in Real Analysis

By: Masayoshi Hata

This unique book provides a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis. Each chapter has an introduction, in which some fundamental definitions and propositions are prepared. This also contains many brief historical comments on some significant mathematical results in real analysis together with useful references.Problems and Solutions in Real Analysis may be used as advanced exercises by undergraduate students during or after courses in calculus and linear algebra. It is also useful for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the prime number theorem through several exercises. The book is also suitable for non-experts who wish to understand mathematical analysis.

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Page Count

303

Publisher

World Scientific

Published Date

ISBN 10

981277601X

ISBN 13

9789812776013

Problems And Solutions In Real Analysis (Second Edition)

By: Masayoshi Hata

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Problems And Solutions In Real Analysis (Second Edition)

By: Masayoshi Hata

This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, differential equations and metric spaces.Each chapter has a summary of basic points, in which some fundamental definitions and results are prepared. This also contains many brief historical comments for some significant mathematical results in real analysis together with many references.Problems and Solutions in Real Analysis can be treated as a collection of advanced exercises by undergraduate students during or after their courses of calculus and linear algebra. It is also instructive for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the Prime Number Theorem through several exercises. This volume is also suitable for non-experts who wish to understand mathematical analysis.

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Page Count

376

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813142847

ISBN 13

9789813142848

Mathematics of Fractals

By: Masaya Yamaguchi,Masayoshi Hata,Jun Kigami

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Mathematics of Fractals

By: Masaya Yamaguchi,Masayoshi Hata,Jun Kigami

This book aims at providing a handy explanation of the notions behind the self-similar sets called "fractals" and "chaotic dynamical systems". The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.

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Page Count

104

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821805371

ISBN 13

9780821805374

The Languages of Japan

By: Masayoshi Shibatani

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The Languages of Japan

By: Masayoshi Shibatani

A survey of the two main indigenous languages of Japan includes the most comprehensive study of the polysynthetic Ainu language yet to appear in English as well as a comprehensive analysis of Japanese linguistics.

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Page Count

432

Publisher

Cambridge University Press

Published Date

ISBN 10

0521369185

ISBN 13

9780521369183

Science and Culture in Traditional Japan

By: Masayoshi Sugimoto,David L. Swain

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Science and Culture in Traditional Japan

By: Masayoshi Sugimoto,David L. Swain

This book of Japanese history explores the development of science and technology in traditional Japanese society. It may be surprising to some readers familiar with the history of Japan that that scientific thought existed at all in traditional Japan. However, Science and Culture in Traditional Japan show the development of premodern science in Japan in the context of that country's social and intellectual milieu. Anyone who wishes to understand the development of Japan's science and technology over the last hundred years will appreciate this history of the centuries that preceded modernization, for it is the story of why and how Japan was ready and, more importantly, able to make the leap from Eastern to Western science. The history and culture book shows how Japan's long pattern of assimilation—in advancing and receding waves—of Chinese science (and some Western science) laid the foundation for an appreciation of the need for and value of the "new" Western knowledge.

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Page Count

537

Publisher

Tuttle Publishing

Published Date

ISBN 10

1462918131

ISBN 13

9781462918133

Mathematics of Fractals

By: Masaya Yamaguchi,Masayoshi Hata,Jun Kigami

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Mathematics of Fractals

By: Masaya Yamaguchi,Masayoshi Hata,Jun Kigami

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Page Count

104

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821805371

ISBN 13

9780821805374

Problems and Solutions in Real Analysis

By: Masayoshi Hata

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Problems and Solutions in Real Analysis

By: Masayoshi Hata

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Solve jigsaw puzzle

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Page Count

303

Publisher

World Scientific

Published Date

ISBN 10

981277601X

ISBN 13

9789812776013

Neurons: A Mathematical Ignition

By: Masayoshi Hata

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Neurons: A Mathematical Ignition

By: Masayoshi Hata

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Solve jigsaw puzzle

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Page Count

231

Publisher

World Scientific

Published Date

ISBN 10

9814618632

ISBN 13

9789814618632

Book's by Masayoshi Hata

Neurons: A Mathematical Ignition

Neurons: A Mathematical Ignition

Problems and Solutions in Real Analysis

Problems and Solutions in Real Analysis

Problems And Solutions In Real Analysis (Second Edition)

Problems And Solutions In Real Analysis (Second Edition)

Mathematics of Fractals

Mathematics of Fractals

The Languages of Japan

The Languages of Japan

Science and Culture in Traditional Japan

Science and Culture in Traditional Japan

Mathematics of Fractals

Mathematics of Fractals

Problems and Solutions in Real Analysis

Problems and Solutions in Real Analysis

Neurons: A Mathematical Ignition

Neurons: A Mathematical Ignition

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