An Introduction to the Theory of Real Functions

An Introduction to the Theory of Real Functions
Author: Stanislaw Lojasiewicz
Publisher:
Total Pages: 248
Release: 1988-08-18
Genre: Mathematics
ISBN:

A concise, classical approach to the theory of real functions, set in the topological context of metric spaces. Newly translated by G. H. Lawden of the Univ. of Sussex and expanded from the earlier Polish editions to include remarks on the extension of finitely many additive functions to a measure, construction of a continuous, non-differential function of a general type, the Banach-Vitali theorem, and Stepanov's theorem. Prerequisites are set theory, topology, and calculus.

Function Spaces and Potential Theory

Function Spaces and Potential Theory
Author: David R. Adams
Publisher: Springer Science & Business Media
Total Pages: 372
Release: 2012-12-06
Genre: Mathematics
ISBN: 3662032821

"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

Elements of the Theory of Functions

Elements of the Theory of Functions
Author: Konrad Knopp
Publisher: Courier Dover Publications
Total Pages: 161
Release: 2016-10-05
Genre: Mathematics
ISBN: 0486165604

Well-known book provides a clear, concise review of complex numbers and their geometric representation; linear functions and circular transformations; sets, sequences, and power series; analytic functions and conformal mapping; and elementary functions. 1952 edition.

Advanced R

Advanced R
Author: Hadley Wickham
Publisher: CRC Press
Total Pages: 669
Release: 2015-09-15
Genre: Mathematics
ISBN: 1498759807

An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.

Mathematics for Physical Chemistry

Mathematics for Physical Chemistry
Author: Robert G. Mortimer
Publisher: Elsevier
Total Pages: 406
Release: 2005-06-10
Genre: Science
ISBN: 0080492886

Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. Numerous examples and problems interspersed throughout the presentations Each extensive chapter contains a preview, objectives, and summary Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics

Theory of Functions

Theory of Functions
Author: Joseph Fels Ritt
Publisher:
Total Pages: 202
Release: 1947
Genre: Mathematics
ISBN:

Examines functions such as the real number system, the theory of limits, linear point sets, derivatives, curves, and series among other mathematical theories.

College Algebra

College Algebra
Author: Jay Abramson
Publisher:
Total Pages: 892
Release: 2018-01-07
Genre: Mathematics
ISBN: 9789888407439

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory

Foundations of Differential Calculus

Foundations of Differential Calculus
Author: Euler
Publisher: Springer Science & Business Media
Total Pages: 208
Release: 2006-05-04
Genre: Mathematics
ISBN: 0387226451

The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.