Advanced Real Analysis

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 9780817644420
Format: PDF, Mobi
Download Now
* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

Basic Real Analysis

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817644415
Format: PDF, ePub, Docs
Download Now
Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

A Course on Integration Theory

Author: Nicolas Lerner
Publisher: Springer
ISBN: 3034806949
Format: PDF, Mobi
Download Now
This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability.​

Advanced Algebra

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817646132
Format: PDF, Mobi
Download Now
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.

Basic Algebra

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817645292
Format: PDF
Download Now
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.

Principles of Mathematical Analysis

Author: Walter Rudin
Publisher: McGraw-Hill Publishing Company
ISBN: 9780070856134
Format: PDF, Docs
Download Now
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Differential Equations

Author: Paul Blanchard
Publisher: Cengage Learning
ISBN: 1133388086
Format: PDF, ePub
Download Now
Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Users will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Value

Author: McKinsey & Company Inc.
Publisher: John Wiley & Sons
ISBN: 9780470949085
Format: PDF, Mobi
Download Now
An accessible guide to the essential issues of corporate finance While you can find numerous books focused on the topic of corporate finance, few offer the type of information managers need to help them make important decisions day in and day out. Value explores the core of corporate finance without getting bogged down in numbers and is intended to give managers an accessible guide to both the foundations and applications of corporate finance. Filled with in-depth insights from experts at McKinsey & Company, this reliable resource takes a much more qualitative approach to what the authors consider a lost art. Discusses the four foundational principles of corporate finance Effectively applies the theory of value creation to our economy Examines ways to maintain and grow value through mergers, acquisitions, and portfolio management Addresses how to ensure your company has the right governance, performance measurement, and internal discussions to encourage value-creating decisions A perfect companion to the Fifth Edition of Valuation, this book will put the various issues associated with corporate finance in perspective.