Mathematics

Real, Complex & Functional Analysis

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The Elements of Advanced Mathematics, Fourth Edition

Steven G. Krantz
November 14, 2017

The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author’s bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the needs...

Transition to Analysis with Proof

Steven Krantz
November 06, 2017

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a...

Weakly Stationary Random Fields, Invariant Subspaces and Applications

Vidyadhar S. Mandrekar, David A. Redett
November 06, 2017

The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students,...

Measure and Probability

Siva Athreya, V. S. Sunder
October 31, 2017

This book covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory’s outer measure approach and goes on to discuss integration and standard convergence theorems and contains an entire chapter devoted to complex measures,...

CRC Standard Mathematical Tables and Formulas, 33rd Edition

Daniel Zwillinger
October 24, 2017

Containing more than 6,000 entries, CRC Standard Mathematical Tables and Formulas, 33rd Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams, group tables, and integrals that are not...

Strange Functions in Real Analysis, Third Edition

Alexander Kharazishvili
October 13, 2017

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores...

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

Sasho Kalajdzievski, Derek Krepski, Damjan Kalajdzievski
September 12, 2017

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology)....

Lineability: The Search for Linearity in Mathematics

Richard M. Aron, Luis Bernal-Gonzalez, Daniel M. Pellegrino, Juan B. Seoane Sepulveda
September 01, 2017

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in...

Beyond First Order Model Theory

Jose Iovino
August 30, 2017

Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for...

Recent Advances in Operator Theory and Operator Algebras

Hari Bercovici, Elias Katsoulis, David Kerr, Dan Timotin
July 20, 2017

This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent...

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations

Mark McKibben
June 14, 2017

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those...

Discovering Evolution Equations with Applications: Volume 2-Stochastic Equations

Mark McKibben
June 14, 2017

Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for beginners or focus on a very specific research direction. Thus, the field can be daunting for newcomers to the field who need access to preliminary material and behind-the-scenes...

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