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  • Explorations in Number Theory

    Commuting through the Numberverse

    Series series Mathematics and Statistics (R0)
    This innovative undergraduate textbook approaches number theory through the lens of abstract algebra. Written in an engaging and whimsical style, this text will introduce students to rings, groups, fields, and other algebraic structures as they discover the key concepts of elementary number theory. Inquiry-based learning (IBL) appears throughout the chapters, allowing students to develop insights ... Leer más

    $58.99 USD

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  • The Nuts and Bolts of Proofs

    An Introduction to Mathematical Proofs

    The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It ... Leer más

    $35.99 USD

  • Understanding Analysis

    Series series Mathematics and Statistics (R0)
    This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of ... Leer más

    $40.99 USD

  • Introduction To Analysis, An

    The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, ... Leer más

    $31.99 USD

  • Understanding Analysis

    Series series Mathematics and Statistics (R0)
    Understanding Analysis outlines an elementary, one-semester course designed to expose students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on the ... Leer más

    $44.99 USD

  • Analysis

    de Ekkehard Kopp ...
    Series series Modular Mathematics Series
    Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows ... Leer más

    $47.99 USD

  • A First Course in Mathematical Analysis

    Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what ... Leer más

    $72.99 USD

  • Algebra

    A Teaching and Source Book

    This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra.The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a ... Leer más

    $49.99 USD

  • From Calculus to Analysis

    Series series Mathematics and Statistics (R0)
    This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the calculus tools that are crucial in understanding analysis.From Calculus to ... Leer más

    $49.99 USD

  • Basic Abstract Algebra

    Exercises and Solutions

    This book is mainly intended for first-year University students who undertake a basic abstract algebra course, as well as instructors. It contains the basic notions of abstract algebra through solved exercises as well as a 'True or False' section in each chapter. Each chapter also contains an essential background section, which makes the book easier to use.Contents:IntroductionSets and ... Leer más

    $26.99 USD

  • Introduction To Analysis With Complex Numbers

    de Irena Swanson ...
    This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs ... Leer más

    $48.99 USD

  • Mathematical Logic

    On Numbers, Sets, Structures, and Symmetry

    de Roman Kossak ...
    Series series Philosophy and Religion (R0)
    This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions.Its first part, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. The exposition does not assume any prerequisites; it is ... Leer más

    $58.99 USD