Calculus and mathematical analysis

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem.

This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises.

This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs).

Applied Mathematics in Hydraulic Engineering is an excellent teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering.

A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments.

Curious Curves is self-contained and unified in presentation.

There are several subjects in analysis that are frequently used in applied mathematics, theoretical physics and engineering sciences, such as complex variable, ordinary differential equations, special functions, asymptotic methods, integral transforms and distribution theory.

Most modern textbooks on cluster analysis are written from the standpoint of computer science, which give the background, description and implementation of computer algorithms.

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level.

Nonnegative matrices and positive operators are widely applied in science, engineering, and technology.

This unique book is designed to provide the reader with an exposition of interesting aspects - encompassing both rudimentary and advanced knowledge - of oscillation theory of partial differential equations, which dates back to the publication in 1955 of a paper by Ph Hartman and A Wintner.

This book is ideal for a one-semester course for advanced undergraduate students and first-year graduate students in mathematics.

Researchers are faced with the problem of solving a variety of equations in the course of their work in engineering, economics, physics, and the computational sciences.

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).

New Edition: The Nonlinear Workbook (6th Edition)The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology.

Data Mining is the science and technology of exploring data in order to discover previously unknown patterns.

This book provides a good introduction to modern computational methods for Partial Differential Equations in Mechanics.

This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle.

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem.

This textbook is a self-contained introduction to partial differential equations.

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences.

Although students of analysis are familiar with real and complex numbers, few treatments of analysis deal with the development of such numbers in any depth.

New Edition: The Nonlinear Workbook (6th Edition)The study of nonlinear dynamical systems has advanced tremendously in the last 15 years, making a big impact on science and technology.

Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering.

This book presents a general approach to integration theory, as well as some advanced topics.

This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form.

This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations.

Complex analysis is a beautiful subject - perhaps the single most beautiful; and striking; in mathematics.

Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account.

The Wiener Wintner ergodic theorem is a strengthening of Birkhoff pointwise ergodic theorem.

This is a concise textbook of complex analysis for undergraduate and graduate students.

This invaluable textbook creates a general framework for the study of optimal iterative procedures for problems that are solved approximately.

The theory of the Lebesgue integral is a main pillar in the foundation of modern analysis and its applications, including probability theory.

This textbook is a self-contained introduction to partial differential equations.

This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.

In this new edition of An Introduction to Pseudo-Differential Operators, the style and scope of the original book are retained.

This book is about the theory and applications of Partial Differential Equations of First Order (PDEFO).

This textbook presents the most efficient analytical techniques in the local bifurcation theory of vector fields.

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities.

This book covers selected topics in geometry, algebra, calculus and probability theory.

Starting with the Zermelo-Fraenhel axiomatic set theory, this book gives a self-contained, step-by-step construction of real and complex numbers.

This book presents the subject of integral equations in an accessible manner for a variety of applications.

This book concentrates on the topic of evaluation of Jacobians in some specific linear as well as nonlinear matrix transformations, in the real and complex cases, which are widely applied in the statistical, physical, engineering, biological and social sciences.

This book is a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations.

This is first course in mathematical analysis, for students who have some familiarity with calculus, but are not familiar with formal proofs.

This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations.

This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.

This book is an introductory text on one of the most important fields of Mathematics, the theory of operator algebras.

This textbook in partial differential equations has been adopted as course material by the Moscow State University.

This book presents the major developments in this field with emphasis on application of path integration methods in diverse areas.