Calculus and mathematical analysis Books

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

In this ground-breaking work, Peter Walley constructs and justifies a radically rational theory of statistical inference. He derives, from fundamental principles, new statistical methods that are coherent and  objective  and  correct...

This series on the International Conference on Difference Equations and Applications has established a tradition within the mathematical community. It brings together scientists from many different areas of research to highlight current interests,...

Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing PhDs in pure mathematics but junior and senior researchers in basically any field of mathematics and theoretical...

Differential Equations in Engineering: Research and Applications describes advanced research in the field of the applications of differential equations in engineering and the sciences, and offers a sound theoretical background, along with case studies.It...

Fundamentals of Calculus for Teachers helps readers connect the dots between key calculus concepts and the mathematics content taught in the middle grades, namely fourth through eighth grade in the United States. The text prepares future instructors...

The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfaces. All results presented herein are new in that, apart from the classical...

Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of...

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of...

This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in...

This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates...

Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured...

The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into...

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving...

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating...

Local Transformations and Conservation Laws.- Construction of Mappings Relating Differential Equations.- Nonlocally Related PDE Systems.- Applications of Nonlocally Related PDE Systems.- Further Applications of Symmetry Methods: Miscellaneous Extensions.

Large Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations.- Large Time Asymptotic Analysis of Some Nonlinear Parabolic Equations #x2013; Some Constructive Approaches.- Self-Similar Solutions as Large Time Asymptotics...

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Throughout Geometry, Complex Dimensions and Zeta Functions, Second...

Preface.- 1. Introduction.- 2. Preliminaries.- 3. Degenerate and Singular Parabolic Equations.- 4. Expansion of Positivity.- 5. The Harnack Inequality for Degenerate Equations.- 6. The Harnack Inequality for Singular Equations.- 7. Homogeneous Monotone...

Preface.- Notations and Conventions.- 1 Morse Functions.- 2 The Topology of Morse Functions.- 3 Applications.- 4 Morse-Smale Flows and Whitney Stratifications.- 5 Basics of Complex Morse Theory.- 6 Exercises and Solutions.- References.- Index

Preface1. Fundamental notions, general and auxiliary facts2. Simplest schemes of generalized solution of linear operator equations2.1. Strong generalized solution2.2. Strong almost solution2.3. Weak generalized solution2.4. Weak almost solution2.5...

 Some Equivalences among Nonlinear Complementarity Problems, Least-Element Problems and Variational Inequality Problems in Ordered Spaces. Qamrul Hasan Ansari and Jen-Chih Yao. -Generalized Monotone Maps and Complementarity Problems. S. K. Neogy and...

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related...

A long long time ago, echoing philosophical and aesthetic principles that existed since antiquity, William of Ockham enounced the principle of parsimony, better known today as Ockham's razor: "Entities should not be multiplied...

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering...

Preface.- Control of Systems Described by Elliptic-Type Partial-Differential Equations Under Conjugation Conditions.- Control of a Conditionally Correct System Described by the Neumann Problem for an Elliptic-Type Equation Under Conjugation Conditions.-...

Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and...

Scalar Derivatives in Euclidean Spaces.- Asymptotic Derivatives and Asymptotic Scalar Derivatives.- Scalar Derivatives in Hilbert Spaces.- Scalar Derivatives in Banach Spaces.- Monotone Vector Fields on Riemannian Manifolds and Scalar Derivatives.

Pseudo-Jacobian Matrices.- Calculus Rules for Pseudo-Jacobians.- Openness of Continuous Vector Functions.- Nonsmooth Mathematical Programming Problems.- Monotone Operators and Nonsmooth Variational Inequalities.

Preliminaries.- Schechter-Tintarev Linking.- Sign-Changing Saddle Point.- On a Brezis-Nirenberg Theorem.- Even Functionals.- Parameter Dependence.- On a Bartsch-Chang-Wang-Weth Theory.

System-Theoretical Description of Open Physical Processes.- Control of Bilinear Systems.- Bilinear Systems and Nonlinear Estimation Theory.- Control Of Dynamical Processes And Geometrical Structures.- Superconducting Levitation and Bilinear Systems.-...

Preface.- PART I. BILEVEL PROGRAMMING.- Optimality conditions for bilevel programming problems (Stephan Dempe, Vyatcheslav V. Kalashnikov and Nataliya Kalashnykova).- Path-based formulations of a bilevel toll setting problem (Mohamed Didi-Biha, Patrice...

Basic Results.- Inversion Formulae and Practical Results.- The Method of Series Expansion.- Quadrature Methods.- Rational Approximation Methods.- The Method of Talbot.- Methods based on the Post-Widder Inversion Formula.- The Method of Regularization.-...

Infinite Horizon Variational Problems.- Extremals of Nonautonomous Problems.- Extremals of Autonomous Problems.- Infinite Horizon Autonomous Problems.- Turnpike for Autonomous Problems.- Linear Periodic Control Systems.- Linear Systems with Nonperiodic...

Continuous optimization is the study of problems in which we wish to opti­ mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables...

Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other...

Preliminaries.- Steinhaus Type Theorems.- Boundedness and Continuity of Solutions.- Differentiability and Analyticity.- Regularity Theorems on Manifolds.- Regularity Results with Fewer Variables.- Applications.

In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by...

Background on Functional Analysis.- Preliminaries.- Function Spaces.- Variational Inequalities.- Elliptic Variational Inequalities.- Evolutionary Variational Inequalities with Viscosity.- Evolutionary Variational Inequalities.- Volterra-type Variational...

Structural Stability.- Spatial Decay.- Convection in Porous Media.- Stability of Other Porous Flows.- Fluid - Porous Interface Problems.- Elastic Materials with Voids.- Poroacoustic Waves.- Numerical Solution of Eigenvalue Problems.

Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms,...

This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new...

This book is drawn from across many active fields of mathematics and physics. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods...

Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat,...

The theory of convex optimization has been constantly developing over the past 30 years.  Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. ...