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Undergraduate Texts in Mathematics (UTM)

From the publisher: “Undergraduate Texts in Mathematics are generally aimed at third- and fourth-year undergraduate mathematics students at North American universities. These texts strive to provide students and teachers with new perspectives and novel approaches. The books include motivation that guides the reader to an appreciation of interrelations among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding.” There are over 200 titles in this series.

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  • Undergraduate Texts in Mathematics: Numbers and Geometry (Hardback)

    Undergraduate Texts in Mathematics: Numbers and Geometry (Hardback)

    $33.59

    "Numbers and Geometry is a beautiful and relatively elementary account of a part of mathematics where three main fields—algebra, analysis, and geometry—meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book." — From the back cover

  • Undergraduate Texts in Mathematics: Vector Analysis (Hardback)

    Undergraduate Texts in Mathematics: Vector Analysis (Hardback)

    $27.95

    "Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Green, and Stokes. Modern vector analysis distills these into the Cartan calculus and a general form of Stokes's theorem. This essentially modern text carefully develops vector analysis on manifolds, reinterprets it from the classical viewpoint (and with the classical notation) for three-dimensional Euclidean space, and then goes on to introduce de Rham cohomology and Hodge theory." — From the back cover

  • Undergraduate Texts in Mathematics: Linearity, Symmetry, and Prediction in the Hydrogen Atom (Hardback)

    Undergraduate Texts in Mathematics: Linearity, Symmetry, and Prediction in the Hydrogen Atom (Hardback)

    $41.79

    "This user-friendly exposition, driven by numerous examples and exercises, requires a solid background in calculus and familiarity with either linear algebra or advanced quantum mechanics. ... [It] will benefit students in mathematics, physics and chemistry, as well as a literate general readership." — From the back cover

  • Undergraduate Texts in Mathematics: Introduction to Analytic Number Theory (Hardback)

    Undergraduate Texts in Mathematics: Introduction to Analytic Number Theory (Hardback)

    $33.95

    "This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory." — From the back cover

  • Undergraduate Texts in Mathematics: The Laplace Transform: Theory and Applications (Hardback)

    Undergraduate Texts in Mathematics: The Laplace Transform: Theory and Applications (Hardback)

    $43.79

    "When applying the Laplace transform, it is important to have a good understanding of the theory underlying it, rather than just a cursory knowledge of its application. This text provides that understanding." — From the back cover

  • Undergraduate Texts in Mathematics: Projective Geometry (Softcover)

    Undergraduate Texts in Mathematics: Projective Geometry (Softcover)

    $68.29

    "The prerequisites for reading this book are fairly limited: a good command of linear algebra, some knowledge of quadratic forms and field extensions, and a few notions about the irreducibility of polynomials and factorization in rings of polynomials." — Pierre Samuel, Author, in the Introduction

  • Undergraduate Texts in Mathematics: Geometric Constructions (Hardback)

    Undergraduate Texts in Mathematics: Geometric Constructions (Hardback)

    $36.25

    "Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs, but which required the algebra of the Renaissance for a thorough understanding. Through coordinate geometry, various geometric construction tools can be associated with various fields of real numbers. This book is about these associations." — From the back cover

  • Undergraduate Texts in Mathematics: Elements of Algebra: Geometry, Numbers, Equations (Hardback)

    Undergraduate Texts in Mathematics: Elements of Algebra: Geometry, Numbers, Equations (Hardback)

    $24.85

    "This book is a concise, self-contained introduction to abstract algebra that stresses its unifying role in geometry and number theory." — From the back cover

  • Undergraduate Texts in Mathematics: Groups and Symmetry (Hardback)

    Undergraduate Texts in Mathematics: Groups and Symmetry (Hardback)

    $35.15

    "As prerequisites I assume a first course in linear algebra (including matrix multiplication and the representation of linear maps between Euclidean spaces by matrices, though not the abstract theory of vector spaces) plus familiarity with the basic properties of the real and complex numbers. It would be a pity to teach group theory without matrix groups available as a rich source of examples, especially since matrices are so heavily used in application." — Mark Anthony Armstrong, Author, in the Preface

  • Undergraduate Texts in Mathematics: Mathematics and Its History, Second Edition (Hardback)

    Undergraduate Texts in Mathematics: Mathematics and Its History, Second Edition (Hardback)

    $24.25

    "...[The book] is a treasure, which deserves wide adoption as a text and much consultation by historians and mathematicians alike." — Physis Rivista Internazionale di Storia della Scienza

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