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#### Abstract Volterra Integro-Differential Equations

CRC Press 2015; US$ 149.95The theory of linear Volterra integro-differential equations has been developing rapidly in the last three decades. This book provides an easy to read concise introduction to the theory of ill-posed abstract Volterra integro-differential equations. A major part of the research is devoted to the study of various types of abstract (multi-term) fractional... more...

#### From Calculus to Analysis

Springer International Publishing 2015; US$ 69.99This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It... more...

#### Difference Equations

CRC Press 2015; US$ 119.95Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced... more...

#### Integralrechnung für Höhlenmenschen und andere Anfänger

Springer Fachmedien Wiesbaden 2015; US$ 9.99Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein. Im Anschluss daran stellt er die zentrale Fragestellung der ?Infinitesimalrechnung? anhand eines einfachen Beispiels dar. Dann erläutert der Autor die Grundproblematik des Integrierens: die Fläche zwischen einer beliebigen Stelle einer Funktion... more...

#### Topics in Algebra and Analysis

Springer International Publishing 2015; US$ 59.99The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with... more...

#### Mathematical Analysis II

Springer International Publishing 2015; US$ 79.99The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus... more...

#### New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Springer International Publishing 2014; US$ 129.00This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of... more...

#### Handbook of Functional Equations

Springer New York 2014; US$ 129.00This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with... more...

#### Semigroups of Operators -Theory and Applications

Springer International Publishing 2014; US$ 169.00Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening... more...

#### The Problem of Catalan

Springer International Publishing 2014; US$ 109.00In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mih?ilescu. In other words, 3 2 ? 2 3 = 1 is the only solution of the equation x p ? y q = 1 in... more...