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1. 

Design and analysis of Algorithms,2/e, 2nd Edition

Design and analysis of Algorithms, 2nd Edition

By: Himanshu B Dave

Publisher: Pearson India

Publication Date: 01-JUN-2013

Insert Date: 31-JUL-2014

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This second edition of Design and Analysis of Algorithms continues to provide a comprehensive exposure to the subject with new inputs on contemporary topics in algorithm design and algorithm analysis. Spread over 21 chapters aptly complemented by five appendices, the book interprets core concepts with ease in logical succession to the student's benefit. ...

2. 

An Introduction to Computational Stochastic PDEs

An Introduction to Computational Stochastic PDEs

By: Gabriel J. Lord

Publisher: Cambridge University Press

Publication Date: 31-MAY-2014

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This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi-level Monte Carlo method. Later chapters apply the theory of random fields to the numerical solution of elliptic PDEs with correlated random data, discuss the Monte Carlo method, and introduce...

3. 

System Simulation and Modeling

System Simulation and Modeling

By: Sankar Sengupta

Publisher: Pearson India

Publication Date: 01-JAN-2013

Insert Date: 30-JUL-2014

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Computer simulation models a real-life or hypothetical situation on a computer to study how the system works. System Simulation and Modeling discusses system modeling and simulation through examples and applications from computer systems, statistics, manufacturing and insurance. It discusses materials for building a simulation model, evaluating results and taking decisions based on results. Also, Arena and step-by-step approach to convert a problem statement into an Arena simulation model are discussed along with commercially-available software on simulation like GPSS, SIMSCRIPT and...

4. 

Lectures on Lyapunov Exponents

Lectures on Lyapunov Exponents

By: Marcelo Viana

Publisher: Cambridge University Press

Publication Date: 31-JUL-2014

Insert Date: 25-JUL-2014

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The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition...

5. 

The Pleasures of Counting

The Pleasures of Counting

By: T. W. Körner

Publisher: Cambridge University Press

Publication Date: 05-DEC-1996

Insert Date: 25-JUL-2014

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What is the connection between the outbreak of cholera in Victorian Soho, the Battle of the Atlantic, African Eve and the design of anchors? One answer is that they are all examples chosen by Dr Tom Körner to show how a little mathematics can shed light on the world around us, and deepen our understanding of it. Dr Körner, an experienced author, describes a variety of topics which continue to interest professional mathematicians, like him. He does this using relatively simple terms and ideas, yet confronting difficulties (which are often the starting point for new discoveries) and avoiding...

6. 

Markov Chains and Dependability Theory

Markov Chains and Dependability Theory

By: Gerardo Rubino; Bruno Sericola

Publisher: Cambridge University Press

Publication Date: 30-JUN-2014

Insert Date: 25-JUL-2014

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Dependability metrics are omnipresent in every engineering field, from simple ones through to more complex measures combining performance and dependability aspects of systems. This book presents the mathematical basis of the analysis of these metrics in the most used framework, Markov models, describing both basic results and specialised techniques. The authors first present both discrete and continuous time Markov chains before focusing on dependability measures, which necessitate the study of Markov chains on a subset of states representing different user satisfaction levels for the...

7. 

Automorphisms and Equivalence Relations in Topological Dynamics

Automorphisms and Equivalence Relations in Topological Dynamics

By: David B. Ellis; Robert Ellis

Publisher: Cambridge University Press

Publication Date: 31-MAY-2014

Insert Date: 25-JUL-2014

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Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid and self-contained book, leading to simpler proofs of classical results, as well as providing motivation for further study. Minimal flows on compact Hausdorff spaces are studied as icers on the universal minimal flow M. The group of the icer representing a minimal flow is defined as a subgroup of the automorphism group G of M, and icers are constructed...

8. 

Categorical Homotopy Theory

Categorical Homotopy Theory

By: Emily Riehl

Publisher: Cambridge University Press

Publication Date: 31-MAY-2014

Insert Date: 25-JUL-2014

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This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special...

9. 

Stochastic Equations in Infinite Dimensions, Second Edition

Stochastic Equations in Infinite Dimensions, Second Edition

By: Giuseppe Da Prato

Publisher: Cambridge University Press

Publication Date: 30-APR-2014

Insert Date: 25-JUL-2014

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Now in its second edition, this book gives a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. In the first part the authors give a self-contained exposition of the basic properties of probability measure on separable Banach and Hilbert spaces, as required later; they assume a reasonable background in probability theory and finite dimensional stochastic processes. The second part is devoted to the existence and uniqueness of solutions of a general stochastic evolution equation, and...

10. 

Turing's Legacy

Turing's Legacy

By: Rod Downey

Publisher: Cambridge University Press

Publication Date: 30-APR-2014

Insert Date: 25-JUL-2014

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Alan Turing was an inspirational figure who is now recognised as a genius of modern mathematics. In addition to leading the Allied forces' code-breaking effort at Bletchley Park in World War II, he proposed the theoretical foundations of modern computing and anticipated developments in areas from information theory to computer chess. His ideas have been extraordinarily influential in modern mathematics and this book traces such developments by bringing together essays by leading experts in logic, artificial intelligence, computability theory and related areas. Together, they give insight...

11. 

Numerical Analysis for Engineers and Scientists

Numerical Analysis for Engineers and Scientists

By: G. Miller

Publisher: Cambridge University Press

Publication Date: 30-APR-2014

Insert Date: 25-JUL-2014

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Striking a balance between theory and practice, this graduate-level text is perfect for students in the applied sciences. The author provides a clear introduction to the classical methods, how they work and why they sometimes fail. Crucially, he also demonstrates how these simple and classical techniques can be combined to address difficult problems. Many worked examples and sample programs are provided to help the reader make practical use of the subject material. Further mathematical background, if required, is summarized in an appendix. Topics covered include classical methods for...

12. 

Introduction to the Network Approximation Method for Materials Modeling

Introduction to the Network Approximation Method for Materials Modeling

By: Leonid Berlyand; Alexander G. Kolpakov; Alexei Novikov

Publisher: Cambridge University Press

Publication Date: 31-DEC-2012

Insert Date: 25-JUL-2014

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In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of network approximation for PDE with discontinuous coefficients, developed in the 2000s by applied mathematicians...

13. 

Classical and Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis

By: Camil Muscalu; Wilhelm Schlag

Publisher: Cambridge University Press

Publication Date: 31-JAN-2013

Insert Date: 25-JUL-2014

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This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón-Zygmund and Littlewood-Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic...

14. 

Classical and Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis

By: Camil Muscalu; Wilhelm Schlag

Publisher: Cambridge University Press

Publication Date: 31-JAN-2013

Insert Date: 25-JUL-2014

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This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are...

15. 

Uniform Central Limit Theorems, Second Edition

Uniform Central Limit Theorems, Second Edition

By: R. M. Dudley

Publisher: Cambridge University Press

Publication Date: 31-JAN-2014

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This classic work on empirical processes has been considerably expanded and revised from the original edition. When samples become large, the probability laws of large numbers and central limit theorems are guaranteed to hold uniformly over wide domains. The author, an acknowledged expert, gives a thorough treatment of the subject, including the Fernique-Talagrand majorizing measure theorem for Gaussian processes, an extended treatment of Vapnik-Chervonenkis combinatorics, the Ossiander L2 bracketing central limit theorem, the Giné-Zinn bootstrap central limit theorem in probability, the...

16. 

A Course in Mathematical Analysis

A Course in Mathematical Analysis

By: D. J. H. Garling

Publisher: Cambridge University Press

Publication Date: 31-DEC-2013

Insert Date: 25-JUL-2014

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The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a...

17. 

Brownian Models of Performance and Control

Brownian Models of Performance and Control

By: J. Michael Harrison

Publisher: Cambridge University Press

Publication Date: 30-NOV-2013

Insert Date: 25-JUL-2014

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Direct and to the point, this book from one of the field's leaders covers Brownian motion and stochastic calculus at the graduate level, and illustrates the use of that theory in various application domains, emphasizing business and economics. The mathematical development is narrowly focused and briskly paced, with many concrete calculations and a minimum of abstract notation. The applications discussed include: the role of reflected Brownian motion as a storage model, queueing model, or inventory model; optimal stopping problems for Brownian motion, including the influential...

18. 

Idiot's Guides: Speed Math

Idiot's Guides: Speed Math

By: Gaurav Tekriwal

Publisher: Alpha

Publication Date: 07-JAN-2014

Insert Date: 30-JUN-2014

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The Complete Idiot's Guide® to Speed Math provides easy-to-understand methods, tips, and tricks to do math in one's head, on paper, and on a calculator at a faster rate and with more accuracy for anyone who is intimidated by math and for whom such calculations would otherwise require paper or calculator. ...

19. 

The Calculus Lifesaver

The Calculus Lifesaver

By: Adrian Banner

Publisher: Princeton University Press

Publication Date: 28-NOV-2009

Insert Date: 19-JUN-2014

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For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of...

20. 

Master Math: Elementary School Math

Master Math: Elementary School Math

By: Kristen Gryskevich

Publisher: Course Technology PTR

Publication Date: 18-JUN-2014

Insert Date: 18-JUN-2014

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Math instruction is changing. The subject is no longer taught the way it was when today's parents were in school. Keeping up and helping your elementary-grade child with math can be challenging and, at times, frustrating. If you're facing difficulties helping your child grasp elementary math, here's good news: You're not alone, and help is on the way. MASTER MATH: ELEMENTARY SCHOOL MATH is the key to decreasing study and test anxieties and making math easier for your child. This concise guide, written by an experienced elementary school teacher, is a fast, straightforward reference that will...