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  • Recent Progress On Topics Of Ramanujan Sums And Cotangent Sums Associated With The Riemann Hypothesis

    Series Book 10 - Monographs In Number Theory
    In this monograph, we study recent results on some categories of trigonometric/exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through the two chapters of this monograph, we wish to highlight the applicability and breadth of techniques of trigonometric/exponential sums in various problems focusing on the interplay of Mathematical ... Read more

    $48.59 USD

  • Number Theory in Memory of Eduard Wirsing

    Series series Mathematics and Statistics (R0)
    Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., with the Fields Medalist Alan Baker as well as Don Zagier). This commemorative volume includes numerous papers on current research in number theory by well-known experts, as well as some personal ... Read more

    $152.09 USD

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  • Problems And Solutions In Real Analysis (Second Edition)

    Series Book 14 - Series On Number Theory And Its Applications
    This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, ... Read more

    $34.19 USD

  • The Mathematical Legacy of Srinivasa Ramanujan

    Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time ... Read more

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  • Handbook of Measure Theory

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    by E. Pap ...
    The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are ... Read more

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  • Ridge Functions

    by Allan Pinkus ...
    Series Book 205 - Cambridge Tracts in Mathematics
    Ridge functions are a rich class of simple multivariate functions which have found applications in a variety of areas. These include partial differential equations (where they are sometimes termed 'plane waves'), computerised tomography, projection pursuit in the analysis of large multivariate data sets, the MLP model in neural networks, Waring's problem over linear forms, and approximation theory ... Read more

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  • Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

    Series Book 165 - Encyclopedia of Mathematics and its Applications
    The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, ... Read more

    $164.89 USD

  • Number Theory And Its Applications Ii

    The aim of the book is to give a smooth analytic continuation from basic subjects including linear algebra, group theory, Hilbert space theory, etc. to number theory. With plenty of practical examples and worked-out exercises, and the scope ranging from these basic subjects made applicable to number-theoretic settings to advanced number theory, this book can then be read without tears. It will be ... Read more

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  • Number Theory: Arithmetic In Shangri-la - Proceedings Of The 6th China-japan Seminar

    Series Book 8 - Series On Number Theory And Its Applications
    This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic ... Read more

    $52.19 USD

  • Neverending Fractions

    An Introduction to Continued Fractions

    Series Book 23 - Australian Mathematical Society Lecture Series
    Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse ... Read more

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  • Arithmetic Tales

    Translated by Véronique Bordellès ...
    Series series Mathematics and Statistics (R0)
    Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve. In the past, a variety of very different techniques has been applied to further its understanding.Classical methods in analytic theory such as Mertens’ theorem and ... Read more

    $80.99 USD

  • Linear Second Order Elliptic Operators

    The main goal of the book is to provide a comprehensive and self-contained proof of the, relatively recent, theorem of characterization of the strong maximum principle due to Molina-Meyer and the author, published in Diff. Int. Eqns. in 1994, which was later refined by Amann and the author in a paper published in J. of Diff. Eqns. in 1998. Besides this characterization has been shown to be a ... Read more

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