Calculus

A step-by-step guide to calculus featuring practice questions and exercises to help people improve their understanding of the mathematical study of change.

This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.

La presente nota de clases aborda el estudio de algunos conceptos fundamentales del calculo integral de una variable real.

Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series contains the answers to selected problems in linear algebra, the calculus of several variables, and series.

Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations.

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Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra.

Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature.

A self-contained text for an introductory course, this volume places strong emphasis on physical applications.

The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler.

Mathematics and Statistics for the Quantitative Sciences was born from a radical reimagining of first-year mathematics.

This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind.

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering.

This book features original research articles on the topic of mathematical modelling and fractional differential equations.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus.

This book features original research articles on the topic of mathematical modelling and fractional differential equations.

Introductory Calculus: Second Edition, with Analytic Geometry and Linear Algebra is an introductory text on calculus and includes topics related to analytic geometry and linear algebra.

Mathemagical Buffet offers a delectable feast to everyone with a basic facility in secondary-school mathematics.

This second edition continues to present all the standard topics in microeconomics, with calculus, concisely, clearly and with a sense of humor.

Applied Calculus, Volume 1 provides information pertinent to the fundamental principles of the calculus to problems that occur in Science and Technology.

The goal of this book is to present Stochastic Calculus at an introductory level and not at its maximum mathematical detail.

Boundary value problems play a significant role in modeling systems characterized by established conditions at their boundaries.

When first published posthumously in 1963, this bookpresented a radically different approach to the teaching of calculus.

The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences.

Over the past two decades, it has been recognized that advanced image processing techniques provide valuable information to physicians for the diagnosis, image guided therapy and surgery, and monitoring of human diseases.

From the author of Calculus Simplified, an accessible, personalized approach to Calculus 2Second-semester calculus is rich with insights into the nature of infinity and the very foundations of geometry, but students can become overwhelmed as they struggle to synthesize the range of material covered in class.

This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words.

The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative [Jackson (1910)] to make it applicable to dense domains.

The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.

How do we measure happiness?

The Mathematics of Finite Elements and Applications provides information pertinent to the mathematics of finite elements, applications, algorithms, and computational techniques.

The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering.

Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience.

Integral Calculus is a comprehensive theory cum practice book and covers all aspects of the topic.

With the aim to better understand nature, mathematical tools are being used nowadays in many different fields.

Conventional calculus is too hard and too complex.

This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs.

A gentle, thorough and beautifully illustrated introduction to calculus for students from a range of disciplines.

This major textbook on real analysis is now available in a corrected and slightly amended reprint.

Handbook of Differential Equations, Second Edition is a handy reference to many popular techniques for solving and approximating differential equations, including numerical methods and exact and approximate analytical methods.

The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators.

This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind.

What mathematical modeling uncovers about life in the cityX and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life.

The Integral Calculus has been written to meet the requirements of students of Indian universities.

Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them.