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低次元の幾何からポアンカレ予想へ～世紀の難問が解決されるまで～

− 市原一裕 ...

メビウスの帯，クラインの壺，オイラーの多面体定理，ポアンカレ予想など有名な幾何学をとりあげ，多様体の魅力に迫ります。ポアンカレ予想は位相幾何学の予想の1つですが，きちんと理解しようとすると3次元の壁にぶつかり，あきらめてしまう人もいるようです。本書では，身近な例を豊富に使って親近感がわくように説明します。多面体や次元がイメージできるようになるでしょう。サーストンの幾何化予想にも言及します。 ... もっと見る

1,738 円

メビウスの帯，クラインの壺，オイラーの多面体定理，ポアンカレ予想など有名な幾何学をとりあげ，多様体の魅力に迫ります。ポアンカレ予想は位相幾何学の予想の1つですが，きちんと理解しようとすると3次元の壁にぶつかり，あきらめてしまう人もいるようです。本書では，身近な例を豊富に使って親近感がわくように説明します。多面体や次元がイメージできるようになるでしょう。サーストンの幾何化予想にも言及します。
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ライトノベルでわかる微分積分

３時間でだいたいマスター

− 野口哲典, たまごまご ...

ライトノベル風のストーリーを楽しみながら『微分積分』の世界を体験できる実用数学入門書。登場人物たちと一緒に、微分積分の基礎的な考え方や計算方法などを学んでみませんか？地味カワ数学女子と綴る微分積分青春グラフィティ！わたし、微分と積分の不思議な関係を初めて知ったとき、感動して涙出ちゃいましたもん…… ... もっと見る

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ライトノベル風のストーリーを楽しみながら『微分積分』の世界を体験できる実用数学入門書。登場人物たちと一緒に、微分積分の基礎的な考え方や計算方法などを学んでみませんか？地味カワ数学女子と綴る微分積分青春グラフィティ！わたし、微分と積分の不思議な関係を初めて知ったとき、感動して涙出ちゃいましたもん……
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教師のための数学 (1) 微分積分学 -月を大きなりんごに変えた数学-

− 松本修一 ...

微分積分学の発展は、17世紀、宇宙観の転換に人類を導いた。それを可能にした理由を理解できる書実在感のある事柄について『確実な前提から、確実な推論を経て、確信の持てる結論を得る』機会を提供する。この経験がもたらす驚きと満足を味わう為の書。１章『数の扱いに慣れる』（対数とは、アーサー王と対数、情報と対数）、２章『微分積分学の起こり』（変化率、微分、基本定理、ニュートンの２項定理）、３章『微分方程式』（微分方程式とは何か、２階の微分方程式、サインとコサイン）、４章『りんごと月』（慣性の法則、速さの変化と力、りんごの運動、空気の抵抗、振り子、重力加速度の測定、円運動、万有引力の法則、月の運動）【著者】松本修一1950年京都府に生まれ、1980年広島大学大学院で理学博士の学位を取得、1989年から琉球大学教育学部の数学教授。その間、京都大学基礎物理学研究所研究員（90/05-91/02）、英国バ ... もっと見る

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微分積分学の発展は、17世紀、宇宙観の転換に人類を導いた。それを可能にした理由を理解できる書実在感のある事柄について『確実な前提から、確実な推論を経て、確信の持てる結論を得る』機会を提供する。この経験がもたらす驚きと満足を味わう為の書。１章『数の扱いに慣れる』（対数とは、アーサー王と対数、情報と対数）、２章『微分積分学の起こり』（変化率、微分、基本定理、ニュートンの２項定理）、３章『微分方程式』（微分方程式とは何か、２階の微分方程式、サインとコサイン）、４章『りんごと月』（慣性の法則、速さの変化と力、りんごの運動、空気の抵抗、振り子、重力加速度の測定、円運動、万有引力の法則、月の運動）【著者】松本修一1950年京都府に生まれ、1980年広島大学大学院で理学博士の学位を取得、1989年から琉球大学教育学部の数学教授。その間、京都大学基礎物理学研究所研究員（90/05-91/02）、英国バ
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Elliptic Tales

Curves, Counting, and Number Theory

− Avner Ash, Robert Gross ...

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The ... もっと見る

2,281 円

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The
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Calculus 1

− BarCharts,Inc ...

This QuickStudy guide includes everything the first year calculus student needs to gain a strong understanding of the basic calculus concepts. It includes: functions, limits, continuity, derivatives & analysis, integration, and much more! ... もっと見る

667 円

This QuickStudy guide includes everything the first year calculus student needs to gain a strong understanding of the basic calculus concepts. It includes: functions, limits, continuity, derivatives & analysis, integration, and much more!
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Topics in Quaternion Linear Algebra

− Leiba Rodman ...

シリーズ series Princeton Series in Applied Mathematics
Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously ... もっと見る

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Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously
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Schaum's Outline of Calculus, 6th Edition

1,105 Solved Problems + 30 Videos

− Frank Ayres Jr., Elliott Mendelson ...

Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately, there's Schaum's. This all-in-one-package includes more than 1,100 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own ... もっと見る

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Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately, there's Schaum's. This all-in-one-package includes more than 1,100 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own
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Schaum's Outline of Advanced Calculus, Third Edition

− Robert C. Wrede, Murray R. Spiegel ...

Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's.More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of ... もっと見る

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Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's.More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of
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Measurement

− Paul Lockhart ...

Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living. ... もっと見る

2,551 円

Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.
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Understanding Probability

− Henk Tijms ...

Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. This fully revised third ... もっと見る

10,231 円

Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. This fully revised third
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Calculus Made Easy

Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning Which are Generally Called by the Terrifying Names of the Differential Calculus and the Integral Calculus

− Silvanus Phillips Thompson ...

Calculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics.Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels. ... もっと見る

1,122 円

Calculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics.Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels.
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Ludwig Boltzmann

The Man Who Trusted Atoms

− Carlo Cercignani ...

This book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th- to 20th-Century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the ... もっと見る

7,722 円

This book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th- to 20th-Century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the
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The Golden Ticket

P, NP, and the Search for the Impossible

− Lance Fortnow ...

The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron ... もっと見る

2,820 円

The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron
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Yet Another Introduction to Analysis

− Victor Bryant ...

Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education the traditional development of analysis, often rather divorced from the calculus which they learnt at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise ... もっと見る

11,980 円

Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education the traditional development of analysis, often rather divorced from the calculus which they learnt at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise
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微積分先修

Precalculus

− 楊維哲 ...

シリーズ series 教學與通識其他書籍
Precalculus除了譯為「微積分先修」，也可譯為「微積分之先」。本書有兩大特點：第一，非常扼要地由高中數學截出「必不可少的」與「足夠應付大學數學課程的」內容，予以複習。第二，作者積臺大任教四十年之經驗，深知有些數學題材──高中老師認為「你學微積分時，大學教授就會講解的」；大學教授認為「你在高中時，老師應該教過的、你應該學過的」──常被放置在二不管地帶，本書則填補了這些缺漏。全書共分九章，涵蓋：（多項式及）有理函數、指數與對數、三角函數、坐標（平面與立體）幾何、記述統計，以及極限的考慮。對於某些高中的題材，本書可視為一種「另類的解說」，對於高中畢業的讀者而言，亦適合自行翻查閱讀、欣賞數學「語文」的美麗。 ... もっと見る

1,153 円

Precalculus除了譯為「微積分先修」，也可譯為「微積分之先」。本書有兩大特點：第一，非常扼要地由高中數學截出「必不可少的」與「足夠應付大學數學課程的」內容，予以複習。第二，作者積臺大任教四十年之經驗，深知有些數學題材──高中老師認為「你學微積分時，大學教授就會講解的」；大學教授認為「你在高中時，老師應該教過的、你應該學過的」──常被放置在二不管地帶，本書則填補了這些缺漏。全書共分九章，涵蓋：（多項式及）有理函數、指數與對數、三角函數、坐標（平面與立體）幾何、記述統計，以及極限的考慮。對於某些高中的題材，本書可視為一種「另類的解說」，對於高中畢業的讀者而言，亦適合自行翻查閱讀、欣賞數學「語文」的美麗。
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Bounds for Determinants of Linear Operators and their Applications

− Michael Gil' ...

シリーズ series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and ... もっと見る

37,860 円

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and
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Singular Bilinear Integrals

− Brian Raymond Frederick Jefferies ...

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for ... もっと見る

11,155 円

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for
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Semitopological Vector Spaces

Hypernorms, Hyperseminorms, and Operators

− Mark Burgin ...

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and ... もっと見る

29,446 円

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and
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Fixpunkte und Nullstellen

Klartext für Nichtmathematiker

− Guido Walz ...

シリーズ series essentials
Dieses Buch vermittelt in leicht zugänglicher Sprache Methoden zur numerischen Berechnung von Fixpunkten und Nullstellen reeller Funktionen mithilfe von Iterationsverfahren. Insbesondere das Banach-Verfahren zur Fixpunktbestimmung sowie das Newton-Verfahren, eines der besten numerischen Verfahren zur Nullstellenberechnung von Funktionen, werden ausführlich dargestellt. In einem abschließenden ... もっと見る

509 円

Dieses Buch vermittelt in leicht zugänglicher Sprache Methoden zur numerischen Berechnung von Fixpunkten und Nullstellen reeller Funktionen mithilfe von Iterationsverfahren. Insbesondere das Banach-Verfahren zur Fixpunktbestimmung sowie das Newton-Verfahren, eines der besten numerischen Verfahren zur Nullstellenberechnung von Funktionen, werden ausführlich dargestellt. In einem abschließenden
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Multi-parameter Singular Integrals, Volume I

− Brian Street ...

シリーズ本: 189 - Annals of Mathematics Studies
This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical ... もっと見る

12,519 円

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical
... もっと見る
From Classical to Modern Analysis

− Rinaldo B. Schinazi ...

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of ... もっと見る

6,076 円

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of
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Mathematical Analysis, Differential Equations and Applications

− Themistocles M Rassias, Panos M Pardalos ...

シリーズ本: 11 - Series on Computers and Operations Research
This comprehensive volume presents essential mathematical results devoted to topics of mathematical analysis, differential equations and their various applications. It focuses on differential operators, Wardowski maps, low-oscillation functions, Galois and Pataki connections, Hardy-type inequalities, to name just a few.Effort has been made for this unique title to have an interdisciplinary flavor ... もっと見る

26,030 円

This comprehensive volume presents essential mathematical results devoted to topics of mathematical analysis, differential equations and their various applications. It focuses on differential operators, Wardowski maps, low-oscillation functions, Galois and Pataki connections, Hardy-type inequalities, to name just a few.Effort has been made for this unique title to have an interdisciplinary flavor
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Infinitesimalrechnung

Analysis mit hyperreellen Zahlen

− Peter Baumann, Thomas Kirski ...

In diesem Buch erfahren Sie, wie die Differential- und Integralrechnung schon nach einem einfachen Einstieg mit Hilfe infinitesimaler und infiniter Zahlen und ohne Grenzwertprozesse erlernt werden kann. Sie folgen dabei den intuitiven Vorstellungen der Urväter der Analysis, allerdings in logisch einwandfreier Weise.Dies ist möglich, seit Abraham Robinson in den 1960er Jahren gezeigt hat, dass die ... もっと見る

2,726 円

In diesem Buch erfahren Sie, wie die Differential- und Integralrechnung schon nach einem einfachen Einstieg mit Hilfe infinitesimaler und infiniter Zahlen und ohne Grenzwertprozesse erlernt werden kann. Sie folgen dabei den intuitiven Vorstellungen der Urväter der Analysis, allerdings in logisch einwandfreier Weise.Dies ist möglich, seit Abraham Robinson in den 1960er Jahren gezeigt hat, dass die
... もっと見る
Simple Maths Puzzles - for Kids

− SURESH SAMBANDAM ...

This page gives a summary of the types of logical puzzles one might come across and the problem-solving techniques used to solve them. A logical puzzle is a problem that can be solved through deductive reasoning. ... もっと見る

350 円

This page gives a summary of the types of logical puzzles one might come across and the problem-solving techniques used to solve them. A logical puzzle is a problem that can be solved through deductive reasoning.
... もっと見る

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おすすめ

微積分電子書籍

低次元の幾何からポアンカレ予想へ～世紀の難問が解決されるまで～

ライトノベルでわかる微分積分

教師のための数学 (1) 微分積分学 -月を大きなりんごに変えた数学-

Elliptic Tales

Calculus 1

Topics in Quaternion Linear Algebra

Schaum's Outline of Calculus, 6th Edition

Schaum's Outline of Advanced Calculus, Third Edition

Measurement

Understanding Probability

Calculus Made Easy

Ludwig Boltzmann

The Golden Ticket

Yet Another Introduction to Analysis

微積分先修

Bounds for Determinants of Linear Operators and their Applications

Singular Bilinear Integrals

Semitopological Vector Spaces

Fixpunkte und Nullstellen

Multi-parameter Singular Integrals, Volume I

From Classical to Modern Analysis

Mathematical Analysis, Differential Equations and Applications

Infinitesimalrechnung

Simple Maths Puzzles - for Kids

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