Calculus and mathematical analysis

In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures.

Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering.

Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics.

Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics.

Cellular Genetic Algorithms defines a new class of optimization algorithms based on the concepts of structured populations and Genetic Algorithms (GAs).

This second edition presents up-to-date material on the theory of weak convergance of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices.

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems.

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Many aspects of phenomena critical to our lives can not be measured directly.

In 1992 we published a book entitled Fuzzy Measure Theory (Plenum Press, New York), in which the term 'fuzzy measure' was used for set functions obtained by replacing the additivity requirement of classical measures with weaker requirements of monotonicity with respect to set inclusion and con- nuity.

Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals.

This book presents an account of theories of ?

Recent Advances in Numerical Methods features contributions from distinguished researchers focused on significant aspects of current numerical methods and computational mathematics.

Extremes Values, Regular Variation and Point Processes is a readable and efficient account of the fundamental mathematical and stochastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?

Stochastic di?

In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics.

ThisresearchmonographdevelopstheHamilton-Jacobi-Bellman(HJB)theory viathedynamicprogrammingprincipleforaclassofoptimalcontrolproblems for stochastic hereditary di?

Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics.

Algorithms in algebraic geometry go hand in hand with software packages that implement them.

This is the second of approximately four volumes that the authors plan to write in their examination of all the claims made by S.

Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world.

Stability is a very important property of mathematical models simulating physical processes which provides an adequate description of the process.

Agriculture has experienced a dramatic change during the past decades.

From reviews of the first edition:"e;In the world of mathematics, the 1980's might well be described as the "e;decade of the fractal"e;.

The R language provides a rich environment for working with data, especially data to be used for statistical modeling or graphics.

This bookpresents fundamental material that should be part of the education of every practicing mathematician.

Computational probability is a set of stochastic methods that has emerged over the past decade that allow researchers and students to solve problems that require exact probability calculations previously considered arduous or intractable.

Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations.

The present volume analyzes mathematical models of time-dependent physical p- nomena on three levels: microscopic, mesoscopic, and macroscopic.

This book is an example-based introduction to techniques, from elementary to advanced, of using Mathematica, a revolutionary tool for mathematical computation and exploration.

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person.

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to the study of some problems considered in nonlinear analysis, in geometry, and in applied mathematics.

In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations.

Symmetries in various forms pervade mathematics and physics.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?

A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering.

There can be no question, my dear Watson, of the value of exercise before breakfast.

The theory of series in the 17th and 18th centuries poses several interesting problems to historians.

The book of nature, according to Galilei, is written in the language of mat- matics.

Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro.

Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering.

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983).

Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory.

Set-valued analysis is an essential tool for the mathematical formulation of many real-life situations, e.

This is the second edition of an undergraduate one-variable analysis text.