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Books in the Undergraduate Texts in Mathematics series

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  • Save 16%
    by Serge Lang
    £45.49 - 57.49

    Covers various basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integrals, surface integrals, Stokes' theorem, and the inverse mapping theorem and its consequences.

  • Save 14%
    by Gabor Toth
    £38.49

  • Save 15%
    by Peter D. Lax & Maria Shea Terrell
    £34.99

    This book clearly explains the important theorems of single variable calculus. It includes an elementary introduction to complex numbers and complex-valued functions, key applications of calculus, and an introduction to probability and information theory.

  • Save 14%
    by Mark A. Armstrong
    £38.49

    This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.

  • Save 15%
    by Serge Lang
    £37.49

    This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form.

  • Save 15%
    by Joseph Bak
    £42.49

    This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables.

  • Save 15%
    by Serge Lang
    £43.49

    This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.

  • by Larry J. Gerstein
    £43.99 - 47.99

    This updated and revised second edition is designed to help students advance from basic calculus to higher-level linear and abstract algebra and number theory. It introduces an array of fundamental structures and shows how to balance intuition and rigor.

  • Save 14%
    by Jerry Shurman
    £38.49

  • Save 18%
    - Integer-Point Enumeration in Polyhedra
    by Matthias Beck, Sinai Robins & Nicole Clark
    £44.99

    This much-anticipated textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. It weaves a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory.

  • Save 14%
    - An Introduction to Set Theory and Analysis
    by John Stillwell
    £30.99

    This text plugs a gap in the standard curriculum by linking set theory with analysis. It features a distinctive, detailed treatment of the real numbers system, and combines an introduction to set theory with exposition of the essence of analysis.

  • Save 15%
    by John Stillwell
    £42.49

    This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it's accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.

  • - Series, Functions of Several Variables, and Applications
    by Vera T. Sos & Miklos Laczkovich
    £45.99

    This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable.

  • Save 17%
    by Peter J. Olver
    £37.49

    This textbook is designed for a one year course covering the fundamentals of partial differential equations, aimed towards advanced undergraduates and beginning graduate students. It features examples and exercises connected to real world problems.

  • Save 15%
    by W. S. Anglin & J. Lambek
    £42.49 - 73.49

    The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting.

  • Save 13%
    by Stephen Abbott
    £30.49

    Outlines an elementary, one semester course, which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. This book focuses on questions which give analysis its inherent fascination.

  • Save 18%
    by Jeffrey Hoffstein, Jill Pipher & J. H. Silverman
    £51.49 - 66.49

    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. It includes exercises and examples at the end of each section.

  • Save 16%
    by Serge Lang
    £45.49

  • Save 17%
    - Foundations and Functions of One Variable
    by Miklos Laczkovich & Vera T. Sos
    £37.49 - 48.99

    Based on courses given at Eoetvoes Lorand University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student's mathematical intuition.

  • Save 15%
    by Serge Lang
    £43.49 - 54.49

    This is a short text in linear algebra, intended for a one-term course. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues.

  • - Basic Training for Deeper Mathematics
    by Matthias Beck & Ross Geoghegan
    £38.99 - 44.99

    Written to accompany a one- or two-semester course, this text combines rigor and wit to cover a plethora of topics from integers to uncountable sets. It teaches methods such as axiom, theorem, and proof through the mathematics rather than in abstract isolation.

  • by John Harris
    £39.99

    The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

  • Save 14%
    by Nakhle H. Asmar
    £38.49

    Widely used graphics clarify both concrete and abstract concepts, helping students visualize the proofs of many results. Freely accessible solutions to every-other-odd exercise are posted to the book's Springer website.

  • Save 14%
    - Walks, Trees, Tableaux, and More
    by Richard P. Stanley
    £38.49

    Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author¿s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound understanding to mathematical, engineering, and business models. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix-Tree Theorem, de Bruijn sequences, the Erd¿s¿Moser conjecture, electrical networks, the Sperner property, shellability of simplicialcomplexes and face rings. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees.The new edition contains a bit more content than intended for a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Instructors may pick and choose chapters/sections for course inclusion and students can immerse themselves in exploring additional gems once the course has ended. A chapter on combinatorial commutative algebra (Chapter 12) is the heart of added material in this new edition. The author gives substantial application without requisites needed for algebraic topology and homological algebra. A sprinkling of additional exercises and a new section (13.8) involving commutative algebra, have been added.From reviews of the first edition:¿This gentle book provides the perfect stepping-stone up. The various chapters treat diverse topics ¿ . Stanley¿s emphasis on ¿gems¿ unites all this ¿he chooses his material to excite students and draw them into further study. ¿ Summing Up: Highly recommended. Upper-division undergraduates and above.¿ ¿D. V. Feldman, Choice, Vol. 51(8), April, 2014

  • Save 15%
    by Kristopher Tapp
    £46.49

    Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface. In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book.

  • Save 16%
    - A Geometric View
    by James J. & Jr. Callahan
    £49.49

  • by P. R. Halmos
    £68.49

    Every mathematician agrees that every mathematician must know some set theory; The purpose of the book is to tell the beginning student of advanced mathematics the basic set theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism.

  • Save 14%
    - An Introduction to Computational Algebraic Geometry and Commutative Algebra
    by John Little, Donal O'Shea & David A. Cox
    £34.49

    The book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D).The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate level courses in algebraic geometry or computational algebra.

  • - With Stochastic Processes and an Introduction to Mathematical Finance
    by Kai Lai Chung & Farid Aitsahlia
    £73.49

    The fourth edition adds material related to mathematical finance as well as expansions on stable laws and martingales.From the reviews: "Almost thirty years after its first edition, this charming book continues to be an excellent text for teaching and for self study."

  • Save 15%
    by Theodore W. Gamelin
    £46.49

    An introduction to complex analysis for students with some knowledge of complex numbers from high school. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic.

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