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Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics)
Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics)
This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as...
Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics)
Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics)
Written by a computer scientist for computer scientists, this book teaches topology from a computational point of view, and shows how to solve real problems that have topological aspects involving computers. Such problems arise in many areas, such as computer graphics, robotics, structural biology, and chemistry. The author starts from the basics...
Continuum Theory (Lecture Notes in Pure and Applied Mathematics)
Continuum Theory (Lecture Notes in Pure and Applied Mathematics)
[A]ll of the appers of this volume have a consistent scientific value.
- Analele Stiintifice al Universitatii al I. Cuza

Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor...

Mathematical Principles of Optical Fiber Communication (CBMS-NSF Regional Conference Series in Applied Mathematics)
Mathematical Principles of Optical Fiber Communication (CBMS-NSF Regional Conference Series in Applied Mathematics)
With the maturing of mobile portable telephony and the emerging broadband access market, greater fiber transmission capacity will be essential in the early 21st century. Since the demand for more capacity drives the development of new optics-based technologies, fiber optics therefore remains a vibrant area for research. Mathematical Principles of...
The Fabulous Fibonacci Numbers
The Fabulous Fibonacci Numbers
"...delightful...accessible to anyone who enjoys or enjoyed high school mathematics. Mathematics teachers from middle school through college will find this book fun to read and useful in the classroom. The authors consider more properties, relationships, and applications of the Fibonacci numbers than most other sources do...I enjoyed reading...
The Mathematics of Games and Gambling (Mathematical Association of America Textbooks)
The Mathematics of Games and Gambling (Mathematical Association of America Textbooks)
'The whole book is written with great urbanity and clarity ... it is hard to see how it could have been better or more readable.' The Mathematical Gazette

You can't lose with this MAA Book Prize winner if you want to see how mathematics can be used to analyze games of chance and skill. Roulette, craps, blackjack, backgammon,
...
Group-based Cryptography (Advanced Courses in Mathematics - CRM Barcelona)
Group-based Cryptography (Advanced Courses in Mathematics - CRM Barcelona)

This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown...

Elementary Real Analysis
Elementary Real Analysis

University mathematics departments have for many years offered courses with titles such as Advanced Calculus or Introductory Real Analysis.The se courses are taken by a variety of students, serve a number of purposes, and are written at various levels of sophistication.T he students range from ones who have just completed a course in...

Risk and Portfolio Analysis: Principles and Methods (Springer Series in Operations Research and Financial Engineering)
Risk and Portfolio Analysis: Principles and Methods (Springer Series in Operations Research and Financial Engineering)

Investment and risk management problems are fundamental problems for  financial institutions and involve both speculative and hedging decisions. A structured approach to these problems naturally leads one to the field of applied mathematics in order to translate subjective probability beliefs and attitudes towards risk and reward into...

MATLAB Control Systems Engineering
MATLAB Control Systems Engineering

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or...

A Systemic Perspective on Cognition and Mathematics
A Systemic Perspective on Cognition and Mathematics

This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent...

Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications: In Honor of Professor Raytcho Lazarov's 40 Years of ... Proceedings in Mathematics & Statistics)
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications: In Honor of Professor Raytcho Lazarov's 40 Years of ... Proceedings in Mathematics & Statistics)

One of the current main challenges in the area of scientific computing? is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational...

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