The second edition of Applied Calculus with Business Applications presents a tailored approach to calculus designed for students in business-related fields. The text delves into mathematics' practical applications, emphasizing calculus principles that are most relevant to business students. It intertwines math concepts with real-world business ......
The Six Pillars of Calculus: Business Edition is a conceptual and practical introduction to differential and integral calculus for use in a one- or two-semester course. By boiling calculus down to six common-sense ideas, the text invites students to make calculus an integral part of how they view the world. Each pillar is introduced by tackling ......
A continuation of the authors' previous textbook, Second Semester Calculus for Students of Mathematics and Related Disciplines furthers students' learning and understanding of critical mathematical concepts. The text explores more advanced integration strategies, further limit techniques, improper integrals, infinite sequences and series, polar ......
This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of one variable. It covers the definition, standard properties, extensions, embeddings, Hardy inequalities, and ......
The book introduces complex analysis as a natural extension of the calculus of real-valued functions. The mechanism for doing so is the extension theorem, which states that any real analytic function extends to an analytic function defined in a region of the complex plane. The connection to real functions and calculus is then natural. The ......
Welcome to Real Analysis is designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and $n$-dimensional Euclidean space, but also sequence and function spaces. Proving and extending results from ......
Each step higher in math studies is crucial to doing well at the next level. Support for this gateway course to Calculus is needed among most people heading through that gate to successful careers in science, engineering, computers and economics. Our math authors at ExpoLog who also write math textbooks take great care to cover the core of what ......
This primarily undergraduate textbook focuses on finite-dimensional optimization. It offers an original and well integrated treatment of semidifferential calculus and optimization, with an emphasis on the Hadamard subdifferential, introduced at the beginning of the 20th century and somewhat overlooked for many years. References to original papers ......
This book offers an overview of the central ideas in calculus and gives examples of how calculus is used to translate many real-world phenomena into mathematical functions. Beginning with an explanation of the two major parts of calculus - differentiation and integration - Gudmund R Iversen illustrates how calculus is used in statistics: to distinguish between the mean and the median; to derive the least squares formulas for regression co-efficients; to find values of parameters from theoretical distributions; and to find a statistical p-value when using one of the continuous test variables such as the t-variable.
