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Calculus

Most popular at the top

  • A Course in Advanced Calculusby Robert S. Borden

    Dover Publications 2012; US$ 17.95

    This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject... more...

  • Infinitesimal Calculusby James M. Henle; Eugene M. Kleinberg

    Dover Publications 2014; US$ 14.95

    Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition.... more...

  • Calculus and Statisticsby Michael C. Gemignani

    Dover Publications 2014; US$ 19.95

    Self-contained and suitable for undergraduate students, this text offers a working knowledge of calculus and statistics. It assumes only a familiarity with basic analytic geometry, presenting a coordinated study that develops the interrelationships between calculus, probability, and statistics. Starting with the basic concepts of function and probability,... more...

  • The Umbral Calculusby Steven Roman

    Dover Publications 2013; US$ 14.95

    Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. Subjects include Sheffer sequences and operators... more...

  • A Concept of Limitsby Donald W. Hight

    Dover Publications 2012; US$ 6.99

    An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. It analyzes the idea of a generalized limit and explains sequences and functions to those for whom intuition cannot suffice. Many exercises with solutions. 1966 edition. more...

  • Advanced Calculusby H.K Nickerson; D.C. Spencer; N.E. Steenrod

    Dover Publications 2013; US$ 24.95

    "This book is a radical departure from all previous concepts of advanced calculus," declared the Bulletin of the American Mathematics Society, "and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics." Classroom-tested in a Princeton University honors course, it offers students... more...

  • The Calculus Primerby William L. Schaaf

    Dover Publications 2014; US$ 19.95

    Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to... more...

  • Lebesgue Integrationby J.H. Williamson

    Dover Publications 2014; US$ 12.95

    This concise introduction to Lebesgue integration is geared toward advanced undergraduate math majors and may be read by any student possessing some familiarity with real variable theory and elementary calculus. The self-contained treatment features exercises at the end of each chapter that range from simple to difficult. The approach begins with... more...

  • Infinite Seriesby Isidore Isaac Hirschman

    Dover Publications 2014; US$ 14.95

    This text for advanced undergraduate and graduate students presents a rigorous approach that also emphasizes applications. Encompassing more than the usual amount of material on the problems of computation with series, the treatment offers many applications, including those related to the theory of special functions. Numerous problems appear throughout... more...

  • The Summation of Seriesby Harold T. Davis

    Dover Publications 2014; US$ 14.95

    Valuable as both a text and a reference, this concise monograph starts with a consideration of the calculus of finite differences and advances to discussions of the gamma and psi functions and other methods of summation. Subsequent chapters offer a summation of tables and an examination of infinite sums. The treatment concludes with a table of finite... more...