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おすすめ

Matrix Analysis

− Roger A. Horn, Charles R. Johnson ...

Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This second edition of this acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme and demonstrates their importance in a variety of applications. This thoroughly revised and updated second edition is a ... もっと見る

10,769 円

Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This second edition of this acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme and demonstrates their importance in a variety of applications. This thoroughly revised and updated second edition is a
... もっと見る
How to Solve It

A New Aspect of Mathematical Method

− G. Polya ...

シリーズ series Princeton Science Library
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have ... もっと見る

2,820 円

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have
... もっと見る
Fractal Delight

− Kevin Dwyer ...

Fractal Delight is a collection of fractal based imagery with some 3D mixed in. These are the foundations for my video production whereby I play with colours and shapes before I embark on the task of creating an animation. They can be viewed on a tablet sideways or on a larger scale by downloading the PDF from Smashwords and rotating it 90 degrees as the pictures are mostly landscape. Kd. ... もっと見る

無料

Fractal Delight is a collection of fractal based imagery with some 3D mixed in. These are the foundations for my video production whereby I play with colours and shapes before I embark on the task of creating an animation. They can be viewed on a tablet sideways or on a larger scale by downloading the PDF from Smashwords and rotating it 90 degrees as the pictures are mostly landscape. Kd.
... もっと見る
Positive Definite Matrices

− Rajendra Bhatia ...

シリーズ series Princeton Series in Applied Mathematics
This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, ... もっと見る

5,520 円

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis,
... もっと見る
Information Geometry and Its Applications

− Shun-ichi Amari ...

シリーズ series Mathematics and Statistics (R0)
This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced ... もっと見る

15,800 円

This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced
... もっと見る
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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Introduction to Topology and Geometry

− Saul Stahl, Catherine Stenson ...

シリーズ series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
An easily accessible introduction to over three centuries of innovations in geometryPraise for the First Edition“. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICEThis fully revised new edition offers the most comprehensive coverage of modern geometry ... もっと見る

18,038 円

An easily accessible introduction to over three centuries of innovations in geometryPraise for the First Edition“. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICEThis fully revised new edition offers the most comprehensive coverage of modern geometry
... もっと見る
Structure and Geometry of Lie Groups

− Joachim Hilgert, Karl-Hermann Neeb ...

シリーズ series Mathematics and Statistics (R0)
This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie ... もっと見る

12,154 円

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie
... もっと見る
Advanced Topics in the Arithmetic of Elliptic Curves

− Joseph H. Silverman ...

シリーズ series Mathematics and Statistics (R0)
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there ... もっと見る

7,900 円

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there
... もっと見る
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.
... もっと見る
Clifford Algebras and Lie Theory

− Eckhard Meinrenken ...

シリーズ series Mathematics and Statistics (R0)
This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group ... もっと見る

18,231 円

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group
... もっと見る
Principles of Algebraic Geometry

− Phillip Griffiths, Joseph Harris ...

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, ... もっと見る

23,735 円

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory,
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Geometry from Dynamics, Classical and Quantum

− Giuseppe Marmo, Giuseppe Morandi, Alberto Ibort, José F. Cariñena ...

シリーズ series Physics and Astronomy (R0)
This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the ... もっと見る

17,016 円

This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the
... もっと見る
Build A LEGO Easter Egg

Lets Build With LEGO

− LEGO Man ...

シリーズ series Building With LEGO Bricks
This is fun!! With these step by step plans you can build a 30 cm high (12 inch) LEGO Easter egg. With over 1400 pices this is something to impress your friends with. Build a dozen and decorate your house with them :-)36 pages, Pictorial style instructions. ... もっと見る

109 円

This is fun!! With these step by step plans you can build a 30 cm high (12 inch) LEGO Easter egg. With over 1400 pices this is something to impress your friends with. Build a dozen and decorate your house with them :-)36 pages, Pictorial style instructions.
... もっと見る
Hodge Theory and Complex Algebraic Geometry II: Volume 2

− Claire Voisin ...

翻訳 Leila Schneps ...

シリーズ本: 77 - Cambridge Studies in Advanced Mathematics
The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the ... もっと見る

9,962 円

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the
... もっと見る
Matroids: A Geometric Introduction

− Gary Gordon, Jennifer McNulty ...

Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any mathematician interested in the geometric approach to matroids. Written in a friendly, fun-to-read style and developed ... もっと見る

8,346 円

Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any mathematician interested in the geometric approach to matroids. Written in a friendly, fun-to-read style and developed
... もっと見る
First Steps in Differential Geometry

Riemannian, Contact, Symplectic

− Andrew McInerney ...

シリーズ series Mathematics and Statistics (R0)
Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent ... もっと見る

7,292 円

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent
... もっと見る
Selected Unsolved Problems in Coding Theory

− David Joyner, Jon-Lark Kim ...

シリーズ series Mathematics and Statistics (R0)
This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting problems that have resisted solution ... もっと見る

6,076 円

This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting problems that have resisted solution
... もっと見る
対称性と数学　～繰り返し模様に潜む幾何と代数～

− 筱田健一 ...

【ご注意：本書は固定レイアウト型の電子書籍です。ビューア機能が制限されたり、環境により表示が異なる場合があります】身の回りを見回すと，対称性があるものが多いことに気が付きます。トランプ，テニスボールやサッカーボール，昆虫や植物，塀や道路の敷石，建造物や美術，音楽などの芸術作品，工芸品，果ては銀河から分子のレベルに至るまで枚挙に暇がありません。しかしながら，これらの対称性を「型」（パターン）で分類してみると，意外にも「型」の数自体はそれほど多くないことがわかります。本書は「型」の分類とその背後にある数学の概念「群」について例を通して解説します。 ... もっと見る

1,848 円

【ご注意：本書は固定レイアウト型の電子書籍です。ビューア機能が制限されたり、環境により表示が異なる場合があります】身の回りを見回すと，対称性があるものが多いことに気が付きます。トランプ，テニスボールやサッカーボール，昆虫や植物，塀や道路の敷石，建造物や美術，音楽などの芸術作品，工芸品，果ては銀河から分子のレベルに至るまで枚挙に暇がありません。しかしながら，これらの対称性を「型」（パターン）で分類してみると，意外にも「型」の数自体はそれほど多くないことがわかります。本書は「型」の分類とその背後にある数学の概念「群」について例を通して解説します。
... もっと見る
Geometric Control Theory and Sub-Riemannian Geometry

編集 Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti ...

シリーズ series Mathematics and Statistics (R0)
Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be ... もっと見る

12,154 円

Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be
... もっと見る
Contact and Symplectic Topology

編集 Frédéric Bourgeois, Vincent Colin, András Stipsicz ...

シリーズ series Mathematics and Statistics (R0)
Symplectic and contact geometry naturally emerged from themathematical description of classical physics. The discovery of newrigidity phenomena and properties satisfied by these geometricstructures launched a new research field worldwide. The intenseactivity of many European research groups in this field is reflectedby the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). ... もっと見る

15,800 円

Symplectic and contact geometry naturally emerged from themathematical description of classical physics. The discovery of newrigidity phenomena and properties satisfied by these geometricstructures launched a new research field worldwide. The intenseactivity of many European research groups in this field is reflectedby the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST).
... もっと見る
A First Course in Computational Algebraic Geometry

− Wolfram Decker, Gerhard Pfister ...

シリーズ series AIMS Library of Mathematical Sciences
A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the ... もっと見る

3,095 円

A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the
... もっと見る
Hodge Theory and Complex Algebraic Geometry I: Volume 1

− Claire Voisin ...

翻訳 Leila Schneps ...

シリーズ本: 76 - Cambridge Studies in Advanced Mathematics
The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz ... もっと見る

10,231 円

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz
... もっと見る
Topics in Physical Mathematics

− Kishore Marathe ...

シリーズ series Mathematics and Statistics (R0)
As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two ... もっと見る

10,938 円

As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two
... もっと見る

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おすすめ

幾何電子書籍

Matrix Analysis

How to Solve It

Fractal Delight

Positive Definite Matrices

Information Geometry and Its Applications

Elliptic Tales

Introduction to Topology and Geometry

Structure and Geometry of Lie Groups

Advanced Topics in the Arithmetic of Elliptic Curves

Measurement

Clifford Algebras and Lie Theory

Principles of Algebraic Geometry

Geometry from Dynamics, Classical and Quantum

Build A LEGO Easter Egg

Hodge Theory and Complex Algebraic Geometry II: Volume 2

Matroids: A Geometric Introduction

First Steps in Differential Geometry

Selected Unsolved Problems in Coding Theory

対称性と数学　～繰り返し模様に潜む幾何と代数～

Geometric Control Theory and Sub-Riemannian Geometry

Contact and Symplectic Topology

A First Course in Computational Algebraic Geometry

Hodge Theory and Complex Algebraic Geometry I: Volume 1

Topics in Physical Mathematics

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