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#### Entire Functions

Elsevier Science 2014; US$ 31.95Entire Functions focuses on complex numbers and the algebraic operations on them and the basic principles of mathematical analysis. The book first elaborates on the concept of an entire function, including the natural generalization of the concept of a polynomial and power series. The text then takes a look at the maximum absolute value and the order... more...

#### Ergodic Theory

Springer London 2010; US$ 74.95This text is a rigorous introduction to Ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. It describes some recent applications to number theory, and goes beyond the standard texts in this topic. more...

#### Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein

Elsevier Science 2014; US$ 72.95Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein aims to remedy the deficiency in geometry so that the ideas of F. Klein obtain the place they merit in the literature of mathematics. This book discusses the axioms of betweenness, lattice of linear subspaces, generalization of the notion of space, and coplanar Desargues configurations.... more...

#### Fractional Differentiation Inequalities

Springer New York 2009; US$ 169.00This book presents the Opial, Poincare, Sobolev, Hilbert and Ostrowski fractional differentiation equalities, and results are derived for each using three different types of fractional derivatives. The univariate and multivariate cases are both examined. more...

#### The Fundamentals of Mathematical Analysis

Elsevier Science 2014; US$ 93.95The Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and... more...

#### General Galois Geometries

Springer London 2016; US$ 129.00This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained... more...

#### The Geometry and Physics of Knots

Cambridge University Press 1990; US$ 32.00These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field... more...

#### A Handbook of Real Variables

Birkhäuser Boston 2011; US$ 69.95The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along... more...

#### Hilbertian Kernels and Spline Functions

Elsevier Science 2014; US$ 72.95In this monograph, which is an extensive study of Hilbertian approximation, the emphasis is placed on spline functions theory. The origin of the book was an effort to show that spline theory parallels Hilbertian Kernel theory, not only for splines derived from minimization of a quadratic functional but more generally for splines considered as piecewise... more...

#### Index Transforms

World Scientific Publishing Company 1996; US$ 74.00This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich–Lebedev transform, the Mehler–Fock transform, the... more...