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This volume consists of the proofs of 391 problems in Real
Analysis: Theory of Measure and Integration (3rd Edition).
Most of the problems in Real Analysis are not mere applications
of theorems proved in the book but rather extensions of the
proven theorems or related theorems. Proving these problems tests
the depth of understanding of the theorems in the main text.
This volume will be especially helpful to those who read Real
Analysis... more...

Substantially revised, reorganised and updated, the second
edition now comprises eighteen chapters, carefully arranged
in a straightforward and logical manner, with many new results
and open problems.
As well as covering the theoretical aspects of the subject, with
detailed proofs of many important results, the authors present a
number of algorithms, and whole chapters are devoted to topics
such as branchings, feedback arc and... more...

These counterexamples deal mostly with the part of analysis known
as "real variables." The 1st half of the book discusses the
real number system, functions and limits, differentiation,
Riemann integration, sequences, infinite series, more. The 2nd
half examines functions of 2 variables, plane sets, area, metric
and topological spaces, and function spaces. 1962 edition.
Includes 12 figures.

Spaces of holomorphic functions have been a prominent theme in
analysis since early in the twentieth century. Of interest to
complex analysts, functional analysts, operator theorists, and
systems theorists, their study is now flourishing. This volume, an
outgrowth of a 1995 program at the Mathematical Sciences Research
Institute, contains expository articles by program participants
describing the present state of the art. Here researchers and
graduate... more...

This elementary presentation exposes readers to both the process of
rigor and the rewards inherent in taking an axiomatic approach to
the study of functions of a real variable. The aim is to challenge
and improve mathematical intuition rather than to verify it. The
philosophy of this book is to focus attention on questions which
give analysis its inherent fascination. Each chapter begins with
the discussion of some motivating examples and concludes... more...

Discrete Mathematics combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn. Throughout the text, engaging anecdotes and topics of interest inform as well as motivate learners. The text is ideal for one- or two-semester courses and for students who are typically mathematics,... more...

Clear and Concise. Varberg focuses on the most critical concepts. This popular calculus text remains the shortest mainstream calculus book available – yet covers all relevant material needed by, and appropriate to, the study of calculus at this level. It's conciseness and clarity helps you focus on, and understand, critical concepts in calculus without them getting bogged down and lost in excessive and unnecessary detail. It is accurate,... more...

Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible... more...

Covering key issues and fundamental topics, this book provides a
classic approach to calculus.

Drawing on their decades of teaching experience, William Briggs and
Lyle Cochran have created a calculus text that carries the
teacher’s voice beyond the classroom. That voice—evident in the
narrative, the figures, and the questions interspersed in the
narrative—is a master teacher leading readers to deeper levels of
understanding. The authors appeal to readers’ geometric intuition
to introduce fundamental concepts and lay the foundation for... more...