Mathematics Books

Blank and Krantz s Calculus 2e brings together time-tested methods and innovat... Blank and Krantz s Calculus 2e brings together time-tested methods and innovative thinking to address the needs of today s students who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples credible... more

This is the ?rst of two volumes containing peer-reviewed research and survey p... This is the ?rst of two volumes containing peer-reviewed research and survey papers based on invited talks at the International Conference on Modern Analysis and Applications. The conference which was dedicated to the 100th anniversary... more

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This new book for mathematics and mathematics education majors helps students ... This new book for mathematics and mathematics education majors helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to a... more

Over the last fifteen years fractal geometry has established itself as a subst... Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry analysis and stochastics has highly influenced recent developments in mathematical... more

Mechanics provides the link between mathematics and practical engineering app-... Mechanics provides the link between mathematics and practical engineering app- cations. It is one of the oldest sciences and many famous scientists have left and will leave their mark in this fascinating ?eld of research. Perhaps one of the most... more

Significant interest in the investigation of systems with discontinuous trajec... Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are... more

This book presents a systematic approach to a solution theory for linear parti... This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure a simple extension of the well-established notion of a chain (or scale)... more

the recent IWOTA meetings IWOTA 2006 was focused on a few special themes witho... the recent IWOTA meetings IWOTA 2006 was focused on a few special themes without loss of the general IWOTA mission. Our special interest areas were Hilbert/Krein space operator theory; Complex function theory related to Hilbert space operators;... more

Using a successfully class-tested approach that gives coherence to a broad ran... Using a successfully class-tested approach that gives coherence to a broad range of introductory topics this innovative text provides students with a big picture view of statistics as well as problem-solving strategies that can be applied in many... more

Tutorials.- Monte Carlo and Quasi-Monte Carlo for Statistics.- Monte Carlo Com... Tutorials.- Monte Carlo and Quasi-Monte Carlo for Statistics.- Monte Carlo Computation in Finance.- Invited Articles.- Particle Markov Chain Monte Carlo for Efficient Numerical Simulation.- Computational Complexity of Metropolis-Hastings Methods in... more

This book contains an introductory and comprehensive account of the theory of ... This book contains an introductory and comprehensive account of the theory of (symmetric) Dirichlet forms. Moreover this analytic theory is unified with the probabilistic potential theory based on symmetric Markov processes and developed further in... more

Sobolev spaces play an outstanding role in modern analysis in particular in th... Sobolev spaces play an outstanding role in modern analysis in particular in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory spectral theory... more

The book is the first English translation of John Wallis s Arithmetica Infinit... The book is the first English translation of John Wallis s Arithmetica Infinitorum (1656) a key text on the seventeenth-century development of the calculus. Accompanied with annotations and an introductory essay the translation makes Wallis s work... more

This work provides a posteriori error analysis for mathematical idealizations ... This work provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems especially those arising in mechanical applications and for numerical approximations of numerous nonlinear var- tional problems. An... more

The stability problem for approximate homomorphisms or the Ulam stability prob... The stability problem for approximate homomorphisms or the Ulam stability problem was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular the pursuit of... more

Functional Equations and Inequalities with Applications presents a comprehensi... Functional Equations and Inequalities with Applications presents a comprehensive nearly encyclopedic study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their... more

This second volume deals with the relative homological algebra of complexes of... This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves... more

Originally published in 1910 Principia Mathematica led to the development of m... Originally published in 1910 Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the... more

Richard Bellmann developed a theory of dynamic programming which is for many r... Richard Bellmann developed a theory of dynamic programming which is for many reasons still in the center of great interest. The authors present a new approach in the ?eld of the optimization and multi-objective control of time-discrete systems which... more