Calculus & Mathematical Analysis

This well-respected book introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible tre...

This volume is a collection of 6 lecture notes presented at the School on Singularity Theory, São Carlos, Brazil, July 16-21, 2012, or at the 12th ...

The winding number is one of the most basic invariants in topology. It measures the number of times a moving point $P$ goes around a fixed point $Q...

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demo...

The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acro...

Adding new results that have appeared in the last 15 years, Dictionary of Inequalities, Second Edition provides an easy way for researchers to loca...

Adding new results that have appeared in the last 15 years, Dictionary of Inequalities, Second Edition provides an easy way for researchers to loca...

For one-semester sophomore- or junior-level courses in Differential Equations. Fosters the conceptual development and geometric visualization stud...

For one-semester sophomore- or junior-level courses in Differential Equations. Fosters the conceptual development and geometric visualization stud...

This book offers a primer on the fundamentals and applications of the Geroch-Held-Penrose (GHP) calculus, a powerful formalism designed for spaceti...

This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems.  It serves as a primary source for practici...

This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The authors enthu...

This book provides a comprehensive yet informal introduction to differentiating and integrating real functions with one variable. It also covers ba...

This book provides a comprehensive yet informal introduction to differentiating and integrating real functions with one variable. It also covers ba...

This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases ...

This text is designed for the single-variable component of a three-semester or four-quarter calculus course (math, engineering, and science majors)...

This book is devoted to applications of fractional calculus in classical fields of mathematics like analysis, dynamics, partial differential equati...

The ''genious idea'' is the Santilli''s generalisation of the basic unit of quantum mechanics into an integro-differential operator. This depends o...

After presenting the first volume of this two-volume book, presenting a lot of mathematical and theoretical studies and research related to non-int...

This book is intended for readers who have had a course in iso-differential calculus and it can be used for a senior undergraduate course. Chapter ...