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  • 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

    11,180 円

  • 高校数学III：微分法

    − 大西一弘 ...
    本書は，高等学校数学IIIの「微分法」について説明しています。国公立大学でも，私立大学でも，理系の入学試験において，数学は中心的科目になっています。その中でも特に「微分法」は，大学の入試問題で頻繁に出題されている分野なのでしっかり学習する必要があります。本書は，「微分法」と「微分法の応用」の章から構成されており，各項目及び定理の証明では分かりやすいようにできる限り詳しく説明しています。各章末には練習問題及び解説付きの解答も付けています。すべての問題で，答えに到達するまでの過程及び説明を記述しています。本書の目次は，以下のようになっています。目 次序文第1章：微分法1.1. 微分係数1.2. 微分1.3. 定数倍及び四則演算1.4. 合成関数の微分1.5. 逆関数の微分1.6. 媒介変数表示の関数の微分1.7. 陰関数の微分1.8. 三角関数の微分... ... もっと見る

    398 円

  • High School Algebra

    − Chandramouli Mahadevan ...
    This book is a handbook on topics in High School Algebra. We have covered the topics like - Ratio, Proportion, Variation, Progressions, Surds, Imaginary Quantities, Quadratics, Permutations, Combinations, Mathematical Induction, Binomial Theorem, Logarithms, Inequalities, Probabilities and Determinants. Each chapter is follows a simple structure. A definition of terms and detailed explanation of ... もっと見る

    444 円

  • 高校数学II: 微分・積分

    − 大西一弘 ...
    本書は，高等学校数学IIの「微分・積分」について説明しています。「微分・積分」は，大学の数学の入試問題で頻繁に出題されているのでしっかり学習する必要があります。本書は，「微分法」，「微分法の応用」，「不定積分」及び「定積分」の章から構成されており，各項目では分かりやすいようにできる限り詳しく説明しています。各章末には練習問題及び解説付きの解答を付けています。答えだけではなく，答えに到達するまでの過程及び説明も記述しています。本書の目次は，以下のようになっています。目 次序文第1章：微分法1.1. 平均変化率1.2. 極限値1.3. 微分係数1.4. 微分1.5. 微分の基本定理1.6. 定数倍の微分公式1.7. 和・差の微分公式練習問題及び解答第2章：微分法の応用2.1. 接線の方程式2.2. 法線の方程式... ... もっと見る

    398 円

  • An Introduction to Mathematical Cryptography

    − Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman ...
    シリーズ series Mathematics and Statistics (R0)
    This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number ... もっと見る

    8,507 円

  • 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

    2,369 円

  • Schaum's Outline of College Mathematics, Fourth Edition

    − Philip Schmidt, Frank Ayres Jr. ...
    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

    5,451 円

  • Introduction to Singularities

    − Shihoko Ishii ...
    This book is an introduction to singularities for graduate students and researchers.It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic ... もっと見る

    6,076 円

  • Matrix Computations

    − Gene H. Golub, Charles F. Van Loan ...
    シリーズ 本: 3 - Johns Hopkins Studies in the Mathematical Sciences
    A comprehensive treatment of numerical linear algebra from the standpoint of both theory and practice.The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its ... もっと見る

    10,894 円

  • Finitely Generated Abelian Groups and Similarity of Matrices over a Field

    − Christopher Norman ...
    シリーズ series Mathematics and Statistics (R0)
    At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction ... もっと見る

    4,254 円

  • Algebra - The Very Basics

    − Metin Bektas ...
    If you're looking for a gentle introduction to basic mathematics, look no further. This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required.Topics include: Exponents, Brackets, Linear Equations and ... もっと見る

    無料

  • Representations of Lie Algebras

    An Introduction Through gln

    − Anthony Henderson ...
    シリーズ 本: 22 - Australian Mathematical Society Lecture Series
    This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at ... もっと見る

    12,159 円

  • Arithmetic of Quadratic Forms

    − Goro Shimura ...
    シリーズ series Mathematics and Statistics (R0)
    This book can be divided into two parts. The ?rst part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. The raison d’ˆ etre of the book is in the second part, and so let us ?rst explain the contents of the second part. There are two principal topics: (A) Classi?cation of quadratic forms; (B) Quadratic Diophantine equations. Topic (A) can be further ... もっと見る

    20,662 円

  • Introduction to Cryptography with Maple

    − José Luis Gómez Pardo ...
    シリーズ series Computer Science (R0)
    This introduction to cryptography employs a programming-oriented approach to study the most important cryptographic schemes in current use and the main cryptanalytic attacks against them. Discussion of the theoretical aspects, emphasizing precise security definitions based on methodological tools such as complexity and randomness, and of the mathematical aspects, with emphasis on number-theoretic ... もっと見る

    6,076 円

  • Matrix Information Geometry

    編集 Frank Nielsen, Rajendra Bhatia ...
    シリーズ series Engineering (R0)
    This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing. The theoretical mathematical approaches are discusses in the context of potential applications in sensor and cognitive systems engineering.The topics and application include Information Geometry, Differential Geometry of structured Matrix, Positive Definite Matrix, Covariance ... もっと見る

    18,231 円

  • Representation Theory

    A Homological Algebra Point of View

    − Alexander Zimmermann ...
    シリーズ series Mathematics and Statistics (R0)
    Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are ... もっと見る

    20,662 円

  • Conceptual Mathematics

    A First Introduction to Categories

    − F. William Lawvere, Stephen H. Schanuel ...
    In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. This book provides a skeleton key that makes explicit some concepts and procedures that are common to ... もっと見る

    10,761 円

  • Positive Linear Maps of Operator Algebras

    − Erling Størmer ...
    シリーズ series Mathematics and Statistics (R0)
    This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining ... もっと見る

    14,585 円

  • 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

  • Topics in Algebraic Graph Theory

    編集 Lowell W. Beineke, Robin J. Wilson, Peter J. Cameron ...
    シリーズ 本: 102 - Encyclopedia of Mathematics and its Applications
    The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is ... もっと見る

    22,781 円

  • The Schrödinger-Virasoro Algebra

    Mathematical structure and dynamical Schrödinger symmetries

    − Jérémie Unterberger, Claude Roger ...
    シリーズ series Physics and Astronomy (R0)
    This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure—the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key rôle in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries ... もっと見る

    6,076 円

  • 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

    15,374 円

  • Computer Algebra in Quantum Field Theory

    Integration, Summation and Special Functions

    編集 Carsten Schneider, Johannes Blümlein ...
    シリーズ series Computer Science (R0)
    The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from ... もっと見る

    12,154 円

  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    − Askold Khovanskii ...
    翻訳 Vladlen Timorin, Valentina Kiritchenko, Liudmyla Kadets ...
    シリーズ series Mathematics and Statistics (R0)
    This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... もっと見る

    15,800 円