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Most popular at the top

  • Introduction to the Calculus of Variationsby Hans Sagan

    Dover Publications 2012; US$ 19.95

    Excellent text provides basis for thorough understanding of the problems, methods and techniques of the calculus of variations and prepares readers for the study of modern optimal control theory. Treatment limited to extensive coverage of single integral problems in one and more unknown functions. Carefully chosen variational problems and over 400... more...

  • A Treatise on the Calculus of Finite Differencesby George Boole

    Dover Publications 2014; US$ 19.95

    Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series... more...

  • Advanced Calculusby Avner Friedman

    Dover Publications 2012; US$ 20.00

    This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and... more...

  • Functional Analysisby R.E. Edwards

    Dover Publications 2012; US$ 49.95

    Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition. more...

  • Advanced Calculusby Louis Brand

    Dover Publications 2013; US$ 29.95

    A course in analysis that focuses on the functions of a real variable, this text is geared toward upper-level undergraduate students. It introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, practical theorems, and coherent proofs. Starting with the structure of the system of real and complex... more...

  • Complex Variables for Scientists and Engineersby John D. Paliouras; Douglas S. Meadows

    Dover Publications 2014; US$ 34.95

    This outstanding text for undergraduate students of science and engineering requires only a standard course in elementary calculus. Designed to provide a thorough understanding of fundamental concepts and create the basis for higher-level courses, the treatment features numerous examples and extensive exercise sections of varying difficulty, plus... more...

  • Conformal Mappingby Zeev Nehari

    Dover Publications 2012; US$ 29.95

    Combined theoretical and practical approach covers harmonic functions, analytic functions, the complex integral calculus, families of analytic functions, conformal mapping of simply-connected domains, mapping properties of special functions and conformal mapping of multiply- connected domains. Only prerequsite: working knowledge of advanced calculus.... more...

  • Square Summable Power Seriesby Louis de Branges; James Rovnyak

    Dover Publications 2014; US$ 12.95

    This text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory, which is centered around the invariant subspace concept. The book's principal feature is the extensive use of formal power series methods to obtain and sometimes reformulate results of analytic function theory. The presentation is elementary... more...

  • Selected Topics in the Classical Theory of Functions of a Complex Variableby Maurice Heins

    Dover Publications 2014; US$ 14.95

    Elegant and concise, this text is geared toward advanced undergraduate students acquainted with the theory of functions of a complex variable. The treatment presents such students with a number of important topics from the theory of analytic functions that may be addressed without erecting an elaborate superstructure. These include some of the theory's... 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...