Mathematics

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Basic Algebraic Topology

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Anant R. Shastri
October 23, 2013

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and c...

Stochastic Volatility Modeling

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Lorenzo Bergomi
January 5, 2016

Packed with insights, Lorenzo Bergomi’s Stochastic Volatility Modeling explains how stochastic volatility is used to address issues arising in the modeling of derivatives, including: Which trading issues do we tackle with stochastic volatility? How do we design models and assess their relevanc...

Algebra & Geometry: An Introduction to University Mathematics

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Mark V. Lawson
May 12, 2016

Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical ori...

Optimization: Algorithms and Applications

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Rajesh Kumar Arora
May 6, 2015

Choose the Correct Solution Method for Your Optimization Problem Optimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic me...

A Course in Differential Equations with Boundary Value Problems, Second Edition

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Stephen A. Wirkus, Randall J. Swift, Ryan Szypowski
December 29, 2016

A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods...

Real Analysis and Foundations, Fourth Edition

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Steven G. Krantz
December 8, 2016

The new edition of this popular text is revised to meet the suggestions of users of the previous edition. A readable yet rigorous approach to an essential part of mathematical thinking, this text bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition ...

Iterative Methods and Their Dynamics with Applications: A Contemporary Study

Ioannis Konstantinos Argyros, Angel Alberto Magreñán
February 13, 2017

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the...

Convex Optimization for Signal Processing and Communications: From Fundamentals to Applications

Chong-Yung Chi, Wei-Chiang Li, Chia-Hsiang Lin
February 01, 2017

Convex Optimization for Signal Processing and Communications: From Fundamentals to Applications provides fundamental background knowledge of convex optimization, while striking a balance between mathematical theory and applications in signal processing and communications. In addition to...

Pharmacokinetic and Pharmacodynamic Data Analysis: Concepts and Applications, Fifth Edition

Johan Gabrielsson, Daniel Weiner
January 26, 2017

Pharmacokinetic and Pharmacodynamic Data Analysis: Concepts and Applications teaches everyday biological data analysis to the undergraduate and graduate levels. Through numerous examples and over 100 tutorials, scientists learn how to use PK/PD seamlessly in a variety of practical areas, from...

Quadratic Programming with Computer Programs

Michael J. Best
January 18, 2017

Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables. QP is a subset of Operations Research and is the next higher lever of sophistication than Linear Programming. It is a key mathematical tool in Portfolio Optimization and...

Introduction to Combinatorics, Second Edition

Walter D. Wallis, John C. George
January 12, 2017

What Is Combinatorics Anyway? Broadly speaking, combinatorics is the branch of mathematics dealing with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be...

Introduction to Mathematical Modeling

Mayer Humi
January 10, 2017

Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes. Primarily intended...

Uncertainty Quantification in Laminated Composites: A Meta-model Based Approach

Sudip Dey, Tanmoy Mukhopadhyay, Sondipon Adhikari
January 07, 2017

Uncertainty quantification in composite materials and structures has gained immense attention from the research community over the last few decades. This book presents efficient uncertainty quantification schemes following meta-model-based approaches for stochasticity in material and geometric...

The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance, Second Edition

Paul S. Addison
December 29, 2016

This second edition of The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance has been fully updated and revised to reflect recent developments in the theory and practical applications of wavelet transform methods. The book is...

A Course in Differential Equations with Boundary Value Problems, Second Edition

Stephen A. Wirkus, Randall J. Swift, Ryan Szypowski
December 29, 2016

A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods...

Change-Point Analysis in Nonstationary Stochastic Models

Boris Brodsky
December 27, 2016

This book covers the development of methods for detection and estimation of changes in complex systems. These systems are generally described by nonstationary stochastic models, which comprise both static and dynamic regimes, linear and nonlinear dynamics, and constant and time-variant structures...

Linear and Complex Analysis for Applications

John P. D'Angelo
December 27, 2016

Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author’s...

Advanced Engineering Mathematics with MATLAB, Fourth Edition

Dean G. Duffy
December 22, 2016

Advanced Engineering Mathematics with MATLAB, Fourth Edition builds upon three successful previous editions. It is written for today’s STEM (science, technology, engineering, and mathematics) student. Three assumptions under lie its structure: (1) All students need a firm grasp of the traditional...

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