Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, this text provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories. The text includes a thorough treatment of algebraic topology and contains material on graph theory and dynamical systems, both of which are insightful applications of topological ideas.
• Textbooks in Mathematics
Geometry
Mathematical Analysis
Mathematical Physics
Textbook
Undergraduate

Like its bestselling predecessor, this second edition provides a guide to data analysis using the R system for statistical computing. This edition contains new chapters on graphical displays, generalized additive models, and simultaneous inference as well as a new section on generalized linear mixed models that completes the discussion on the analysis of longitudinal data where the response variable does not have a normal distribution. The authors include new examples and additional exercises in several chapters. They also offer a new version of the HSAUR package (HSAUR2), which is available from CRAN.
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CRC/IHC Default Subject Code
Reference

Eliminating the need to consult laborious documentation, this book presents an easy way to learn how to perform an analytical task in both SAS and R. It covers many common tasks, along with more complex applications. The text provides parallel examples in SAS and R to demonstrate how to use the software and derive identical answers regardless of software choice. It also gives insight into the process of statistical coding from beginning to end by supplying worked examples of complex coding tasks. The authors include an index for each software, allowing users to easily locate procedures. They offer the SAS and R data sets and code for download online.
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Statistics & Computing
Statistical Theory & Methods
Statistics for the Biological Sciences
Reference
Professional

Focusing on mathematical attacks that exploit the structure of RSA and specific parameter choices, this book provides an up-to-date collection of the most well-known attacks on RSA and its main variants, including CRT-RSA, multi-prime RSA, and multi-power RSA. It treats the cryptanalysis of the main variants of RSA as a major topic—one of the first books to do so. With detailed proofs and justifications of the attacks, the book includes the most recent results for lattice techniques based on Coppersmith’s methods and differentiates between provable attacks and those based on assumptions.
• Chapman & Hall/CRC Cryptography and Network Security Series
Cryptology
Combinatorics
Discrete Mathematics
Reference
Professional

Helping readers prepare for doctoral examinations in numerical analysis, this graduate-level text provides a sound introduction to the theory and application of computational methods for applied mathematics problems. It also assists readers in understanding the mathematical literature in this area. The authors present the most important advanced aspects of numerical linear algebra, finite element theory, approximation theory, optimization, and integral equations. They also cover interval computation methods in numerical analysis and include fully worked out solutions for selected problems. A solutions manual is available for qualifying instructors.
• Chapman and Hall/CRC Numerical Analy and Scient Comp. Series
Computational Numerical Analysis
Mathematics & Statistics for Engineers
Textbook
Undergraduate

Highlighting both established and new results, this book provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words. It describes the strengths and weaknesses of a wide variety of solution techniques and approaches, presents a historical overview of the field, and illustrates new methods and definitions with worked examples. The text also incorporates the use of Maple™, Mathematica ® , and C++ to perform computations. It includes a comprehensive bibliography, exercises at the end of each chapter, and directions for future research. A solutions manual is available for qualifying instructors.
• Discrete Mathematics and Its Applications
Combinatorics
Discrete Mathematics
Algorithms & Complexity
Reference
Professional

This text presents the modeling, analysis, and design methods for systems biology. It discusses how to examine experimental data to learn about mathematical models, develop efficient abstraction and simulation methods to analyze these models, and use analytical methods to design new circuits. The author reviews basic molecular biology and biochemistry principles, covers several methods for modeling and analyzing genetic circuits, and uses phage lambda as an example throughout to help illustrate the methods. He also explores the emerging area of synthetic biology. iBioSim software, lecture slides, and a password-protected solutions manual are available on the author’s website.
• Chapman & Hall/CRC Mathematical & Computational Biology
Biomedical Engineering
Bioinformatics
Systems Biology
Textbook
Undergraduate

This book provides many novel techniques for analyzing data from modern biological studies that involve multiple data sets, either of the same type or multiple data sources. It addresses the combination of similar data types: genotype data from genome-wide linkage scans and data derived from microarray gene expression experiments. The expert contributors show how some data combination problems can arise even within the same basic framework and offer solutions to these problems. They also discuss the combined analysis of different data types, giving readers an opportunity to see data combination approaches in action across a wide variety of genome-scale investigations.
• Chapman & Hall/CRC Mathematical & Computational Biology
Bioinformatics
Statistical Theory & Methods
Forestry
Reference
Professional

Suitable for a variety of applications in biology and biomedical research, fluorescence lifetime imaging (FLIM) is a powerful new tool for advanced quantitative analysis. Its high contrast and sensitivity allow for the detection of signals at the single molecule level. After an overview of basic principles of fluorescence, microscopy, and FLIM, this book discusses probes, dynamic and video rate FLIM imaging, laser scanning confocal FLIM, spectral lifetime imaging, nonlinear curve-fitting methods, global FLIM data analysis, and new approaches in data analysis. Widely recognized as pioneers in the field, the editors offer a summary chapter on current FLIM applications.
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Microscopy
Cell Biology
Systems Biology
Reference
Professional

This accessible book teaches how to reason logically, read proofs critically, and write valid mathematical proofs. It facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize theorem proving. The text proves many theorems from different areas in mathematics, provides a thorough presentation of logic by including both formal and informal proofs, and develops integers from natural numbers, rational numbers from integers, and real numbers from rational numbers. It includes numerous examples and exercises, along with a solutions manual for qualifying instructors.
• Textbooks in Mathematics
Set Theory
Algebra
Advanced Mathematics
Textbook
Undergraduate