Shigeru Kanemitsu's Books

Analysis And Beyond: An Introduction With Examples And Exercises

By: Shigeru Kanemitsu,Takako Kuzumaki,Jianya Liu

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Analysis And Beyond: An Introduction With Examples And Exercises

By: Shigeru Kanemitsu,Takako Kuzumaki,Jianya Liu

This volume aims to bridge between elementary textbooks on calculus and established books on advanced analysis. It provides elucidation of the reversible process of differentiation and integration through two featured principles: the chain rule and its inverse — the change of variable — as well as the Leibniz rule and its inverse — the integration by parts. The chain rule or differentiation of composite functions is ubiquitous since almost all (a.a.) functions are composite functions of (elementary) functions and with the change of variable method as its reverse process. The Leibniz rule or differentiation of the product of two functions is essential since it makes differentiation nonlinear and with the method of integration by parts as its reverse process.Readers will find numerous worked-out examples and exercises in this volume. Detailed solutions are provided for most of the common exercises so that readers remain enthusiastically motivated in solving and understanding the concepts better.The intention of this volume is to lead the reader into the rich fields of advanced analysis and to obtain a much better view of useful mathematics.

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Page Count

328

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World Scientific

Published Date

ISBN 10

9811224501

ISBN 13

9789811224508

Number Theory And Its Applications

By: Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

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Number Theory And Its Applications

By: Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in some way or other dependent on the functional equation. The proofs rest on finite fields, representation theory of nilpotent groups, reciprocity law for the Dedekind sums, and the translation formula for the theta-series, respectively. Likewise, for example, the Euler function is treated in several different places.One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.

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Page Count

208

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814425656

ISBN 13

9789814425650

From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

By: Fuhuo Li,Shigeru Kanemitsu,Jianjie Zhang

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From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

By: Fuhuo Li,Shigeru Kanemitsu,Jianjie Zhang

This book paves the way for a proper understanding of current and future issues on global warming, air pollution, depletion of natural resources, cyberattacks on smart grids, amongst others, by unifying various diverse disciplines of science to focus on a sustainable green society of the future.Readers will find applications of science described through the practical use of mobilities, in this case, the electric vehicles.The book could be used to teach and study on issues of global warming through the window of electric vehicles. The first three chapters can be used for teaching applications of mechanics, quantum mechanics, thermodynamics, and fluid mechanics. Chapter 5 provides rudiments of control theory in anticipation of control theory through number theory and algebraic geometry. Chapters 6 and 7 contain aspects of climatology, global warming, and electric vehicles to green grid. This is the only such comprehensive introductory book in the market that provides the readers hints, suggestions and directions to ponder for a sustainable future through renewable sources.

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230

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World Scientific

Published Date

ISBN 10

9811206988

ISBN 13

9789811206986

Contributions to the Theory of Zeta-Functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

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Contributions to the Theory of Zeta-Functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.

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Page Count

316

Publisher

World Scientific

Published Date

ISBN 10

9814449628

ISBN 13

9789814449625

Vistas of Special Functions II

By: Kalyan Chakraborty,Shigeru Kanemitsu,Haruo Tsukada

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Vistas of Special Functions II

By: Kalyan Chakraborty,Shigeru Kanemitsu,Haruo Tsukada

This book (Vistas II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations ? avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing.

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Page Count

228

Publisher

World Scientific

Published Date

ISBN 10

981427397X

ISBN 13

9789814273978

Number Theory And Its Applications Ii

By: Hailong Li,Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

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Number Theory And Its Applications Ii

By: Hailong Li,Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

The aim of the book is to give a smooth analytic continuation from basic subjects including linear algebra, group theory, Hilbert space theory, etc. to number theory. With plenty of practical examples and worked-out exercises, and the scope ranging from these basic subjects made applicable to number-theoretic settings to advanced number theory, this book can then be read without tears. It will be of immense help to the reader to acquire basic sound skills in number theory and its applications.Number theory used to be described as the queen of mathematics, that is, there is no practical use. However, with the development of computers and the security of internet communications, the importance of number theory has been exponentially increasing daily. The raison d'être of the present book in this situation is that it is extremely reader-friendly while keeping the rigor of serious mathematics and in-depth analysis of practical applications to various subjects including control theory and pseudo-random number generation. The use of operators is prevailing rather abundantly in anticipation of applications to electrical engineering, allowing the reader to master these skills without much difficulty. It also delivers a very smooth bridging between elementary subjects including linear algebra and group theory (and algebraic number theory) for the reader to be well-versed in an efficient and effortless way. One of the main features of the book is that it gives several different approaches to the same topic, helping the reader to gain deeper insight and comprehension. Even just browsing through the materials would be beneficial to the reader.

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Page Count

289

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813231610

ISBN 13

9789813231610

Number Theory

Dreaming in Dreams : Proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008

By: Takashi Aoki,Shigeru Kanemitsu,Jianya Liu

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Number Theory

Dreaming in Dreams : Proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008

By: Takashi Aoki,Shigeru Kanemitsu,Jianya Liu

This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaoka's paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning's paper introduces a new direction of research on analytic number theory ? quantitative theory of some surfaces and Bruedern et al's paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms ? Kohnen's paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu's paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al's paper gives a very thorough survey on functional relations of root system zeta-functions, Hoshi?Miyake's paper is a continuation of Miyake's long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia's paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura's paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers.Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students.

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Page Count

267

Publisher

World Scientific

Published Date

ISBN 10

9814289841

ISBN 13

9789814289849

A Quick Introduction To Complex Analysis

By: Kalyan Chakraborty,Shigeru Kanemitsu,Takako Kuzumaki

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A Quick Introduction To Complex Analysis

By: Kalyan Chakraborty,Shigeru Kanemitsu,Takako Kuzumaki

The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels.If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory — the power series method due to Weierstrass and the integration method due to Cauchy — are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples.This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.

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Page Count

206

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813108533

ISBN 13

9789813108530

Number Theory And Its Applications Ii

By: Hailong Li,Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

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Number Theory And Its Applications Ii

By: Hailong Li,Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

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Page Count

289

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813231610

ISBN 13

9789813231610

Vistas Of Special Functions Ii

By: Haruo Tsukada,Shigeru Kanemitsu,Kalyan Chakraborty

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Vistas Of Special Functions Ii

By: Haruo Tsukada,Shigeru Kanemitsu,Kalyan Chakraborty

This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations — avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing.

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Page Count

228

Publisher

World Scientific

Published Date

ISBN 10

9814467707

ISBN 13

9789814467704

Contributions to the Theory of Zeta-functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

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Contributions to the Theory of Zeta-functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations -- zeta symmetry -- which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.

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Age

Page Count

303

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

981444961X

ISBN 13

9789814449618

Analysis And Beyond: An Introduction With Examples And Exercises

By: Shigeru Kanemitsu,Takako Kuzumaki,Jianya Liu

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Analysis And Beyond: An Introduction With Examples And Exercises

By: Shigeru Kanemitsu,Takako Kuzumaki,Jianya Liu

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Solve jigsaw puzzle

Age

Page Count

328

Publisher

World Scientific

Published Date

ISBN 10

9811224501

ISBN 13

9789811224508

Number Theory and Its Applications

By: Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Number Theory and Its Applications

By: Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon - the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the Euler function is treated in several different places, as the number of generators of a finite cyclic group, as one counting the order of the multiplicative group of reduced residue classes modulo q, and as the order and degree of the Galois group of the cyclotomic field, respectively. One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a differ-ent setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.

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Write a review

Solve jigsaw puzzle

Age

Page Count

194

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

981442563X

ISBN 13

9789814425636

From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

By: Fuhuo Li,Shigeru Kanemitsu,Jianjie Zhang

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From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

By: Fuhuo Li,Shigeru Kanemitsu,Jianjie Zhang

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Write a review

Solve jigsaw puzzle

Age

Page Count

230

Publisher

World Scientific

Published Date

ISBN 10

9811206988

ISBN 13

9789811206986

Number Theory

Dreaming in Dreams : Proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008

By: Takashi Aoki,Shigeru Kanemitsu,Jianya Liu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Number Theory

Dreaming in Dreams : Proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008

By: Takashi Aoki,Shigeru Kanemitsu,Jianya Liu

This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaoka''s paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning''s paper introduces a new direction of research on analytic number theory OCo quantitative theory of some surfaces and Bruedern et al ''s paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms OCo Kohnen''s paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu''s paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al ''s paper gives a very thorough survey on functional relations of root system zeta-functions, HoshiOCoMiyake''s paper is a continuation of Miyake''s long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia''s paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura''s paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers. Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students. Sample Chapter(s). Chapter 1: Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces (329 KB). Contents: Recent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces (T D Browning); Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review (J Brdern et al.); Recent Progress on Dynamics of a Special Arithmetic Function (C-H Jia); Some Diophantine Problems Arising from the Isomorphism Problem of Generic Polynomials (A Hoshi & K Miyake); A Statistical Relation of Roots of a Polynomial in Different Local Fields II (Y Kitaoka); Generalized Modular Functions and Their Fourier Coefficients (W Kohnen); Functional Relations for Zeta-Functions of Root Systems (Y Komori et al.); A Quick Introduction to Maass Forms (J-Y Liu); The Number of Non-Zero Coefficients of a Polynomial-Solved and Unsolved Problems (A Schinzel); Open Problems on Exponential and Character Sums (I E Shparlinski); Errata to OC A General Modular Relation in Analytic Number TheoryOCO (H Tsukada); Bibliography on Determinantal Expressions of Relative Class Numbers of Imaginary Abelian Number Fields (K Yamamura). Readership: Graduate students and researchers in mathematics.

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Page Count

267

Publisher

World Scientific

Published Date

ISBN 10

9814289922

ISBN 13

9789814289924

A Quick Introduction to Complex Analysis

By: Kalyan Chakraborty,Shigeru Kanemitsu,Takako Kuzumaki

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A Quick Introduction to Complex Analysis

By: Kalyan Chakraborty,Shigeru Kanemitsu,Takako Kuzumaki

The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels. If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory -- the power series method due to Weierstrass and the integration method due to Cauchy -- are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples. This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.

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Solve jigsaw puzzle

Age

Page Count

193

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813108509

ISBN 13

9789813108509

Book's by Shigeru Kanemitsu

Analysis And Beyond: An Introduction With Examples And Exercises

Analysis And Beyond: An Introduction With Examples And Exercises

Number Theory And Its Applications

Number Theory And Its Applications

From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

Contributions to the Theory of Zeta-Functions

Contributions to the Theory of Zeta-Functions

Vistas of Special Functions II

Vistas of Special Functions II

Number Theory And Its Applications Ii

Number Theory And Its Applications Ii

Number Theory

Number Theory

A Quick Introduction To Complex Analysis

A Quick Introduction To Complex Analysis

Number Theory And Its Applications Ii

Number Theory And Its Applications Ii

Vistas Of Special Functions Ii

Vistas Of Special Functions Ii

Contributions to the Theory of Zeta-functions

Contributions to the Theory of Zeta-functions

Analysis And Beyond: An Introduction With Examples And Exercises

Analysis And Beyond: An Introduction With Examples And Exercises

Number Theory and Its Applications

Number Theory and Its Applications

From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

From Vehicles To Grid To Electric Vehicles To Green Grid: Many A Little Makes A Miracle

Number Theory

Number Theory

A Quick Introduction to Complex Analysis

A Quick Introduction to Complex Analysis

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