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  • Matrix Analysis

    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

  • 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

    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

    427 円

  • An Introduction to Mathematical Cryptography

    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

    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

  • 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

  • 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

    14,807 円

  • Structure and Geometry of Lie Groups

    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

  • Essential Linear Algebra with Applications

    A Problem-Solving Approach

    Titu Andreescu ...
    シリーズ series Mathematics and Statistics (R0)
    Rooted in a pedagogically successful problem-solving approach to linear algebra, this work fills a gap in the literature that is sharply divided between, on the one end, elementary texts with only limited exercises and examples, and, at the other end, books too advanced in prerequisites and too specialized in focus to appeal to a wide audience. Instead, it clearly develops the theoretical ... もっと見る

    6,928 円

  • Representations of Lie Algebras

    An Introduction Through gln

    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

    11,711 円

  • Algebra for Applications

    Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression

    Arkadii Slinko ...
    シリーズ series Mathematics and Statistics (R0)
    This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with ... もっと見る

    4,254 円

  • Representation Theory of the Symmetric Groups

    The Okounkov-Vershik Approach, Character Formulas, and Partition Algebras

    シリーズ 本: 121 - Cambridge Studies in Advanced Mathematics
    The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood–Richardson rule and the Schur ... もっと見る

    18,443 円

  • Representation Theory

    A Homological Algebra Point of View

    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

  • Schaum's Outline of Linear Algebra, 5th Edition

    Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately, 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

    2,907 円

  • The Schrödinger-Virasoro Algebra

    Mathematical structure and dynamical Schrödinger symmetries

    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

  • Polynomial Theory of Error Correcting Codes

    シリーズ series Engineering (R0)
    The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction. It presents both new concepts and new families of codes. For example, lengthened and modified lengthened cyclic codes are introduced as a bridge towards time-invariant convolutional codes and their extension to time-varying versions. The novel families of codes ... もっと見る

    18,231 円

  • Coding Theory and Applications

    4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014

    シリーズ series Springer Nature Proceedings excluding Computer Science
    The topics covered in this book, written by researchers at the forefront of their field, represent some of the most relevant research areas in modern coding theory: codes and combinatorial structures, algebraic geometric codes, group codes, quantum codes, convolutional codes, network coding and cryptography.The book includes a survey paper on the interconnections of coding theory with constrained ... もっと見る

    12,154 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

  • Algebraic Coding Theory (Revised Edition)

    This is the revised edition of Berlekamp's famous book, 'Algebraic Coding Theory', originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently became known as the Berlekamp-Massey Algorithm. Another is the ... もっと見る

    8,581 円

  • Schaum's Outline of College Mathematics, Fourth Edition

    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

    5,250 円

  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    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

  • Topics in Algebraic Graph Theory

    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

    21,942 円

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

    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

  • Computer Algebra in Quantum Field Theory

    Integration, Summation and Special Functions

    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