Applied Mathematics

Applied Mathematics PDF Author: Alain Goriely
Publisher: Oxford University Press
ISBN: 0198754043
Category : Mathematics
Languages : en
Pages : 169

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Book Description
Applied mathematics plays a role in many different fields, especially the sciences and engineering. Goriely explains its nature and its relationship to pure mathematics, and through a variety of applications - such as mathematical modelling to predict the effects of climate change - he illustrates its power in tackling very practical problems.

Applied Mathematics

Applied Mathematics PDF Author: Alain Goriely
Publisher: Oxford University Press
ISBN: 0198754043
Category : Mathematics
Languages : en
Pages : 169

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Book Description
Applied mathematics plays a role in many different fields, especially the sciences and engineering. Goriely explains its nature and its relationship to pure mathematics, and through a variety of applications - such as mathematical modelling to predict the effects of climate change - he illustrates its power in tackling very practical problems.

Mathematics: A Very Short Introduction

Mathematics: A Very Short Introduction PDF Author: Timothy Gowers
Publisher: Oxford Paperbacks
ISBN: 9780192853615
Category : Mathematics
Languages : en
Pages : 172

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Book Description
The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.

Mathematical Finance

Mathematical Finance PDF Author: Mark H. A. Davis
Publisher: Oxford University Press, USA
ISBN: 0198787944
Category : BUSINESS & ECONOMICS
Languages : en
Pages : 161

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Book Description
Now a vital part of modern economies, the rapid growth of the finance industry in recent decades is largely due to the development of mathematical methods such as the theory of arbitrage. Asset valuation, credit trading, and fund management, now depend on these mathematical tools. Mark Davis explains the theories and their applications.

Complexity

Complexity PDF Author: John Henry Holland
Publisher: Oxford University Press, USA
ISBN: 0199662541
Category : History
Languages : en
Pages : 121

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Book Description
In this very short introduction, John Holland presents an introduction to the science of complexity. Using examples from biology and economics, he shows how complexity science models the behaviour of complex systems.

Introduction to Applied Mathematics

Introduction to Applied Mathematics PDF Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9780961408800
Category : Mathematics
Languages : en
Pages : 776

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Book Description
Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.

Principles Of Applied Mathematics

Principles Of Applied Mathematics PDF Author: James P. Keener
Publisher: CRC Press
ISBN: 0429972067
Category : Mathematics
Languages : en
Pages : 624

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Book Description
Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics spectral theory of operators and asymptotic analysis are useful for solving a wide range of applied science problems. Topics such as asymptotic expansions, inverse scattering theory, and perturbation methods are combined in a unified way with classical theory of linear operators. Several new topics, including wavelength analysis, multigrid methods, and homogenization theory, are blended into this mix to amplify this theme.This book is ideal as a survey course for graduate students in applied mathematics and theoretically oriented engineering and science students. This most recent edition, for the first time, now includes extensive corrections collated and collected by the author.

Geometry: a Very Short Introduction

Geometry: a Very Short Introduction PDF Author: Maciej Dunajski
Publisher: Oxford University Press
ISBN: 0199683689
Category : Geometry
Languages : en
Pages : 177

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Book Description
The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof - deductive reasoning from a set of axioms - first arose. To this day geometry remains a very active area of research in mathematics.This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Starting from the basics,Maciej Dunajski proceeds from concrete examples (of mathematical objects like Platonic solids, or theorems like the Pythagorean theorem) to general principles. Throughout, he outlines the role geometry plays in the broader context of science and art.Very Short Introductions: Brilliant, Sharp, InspiringABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

Probability: A Very Short Introduction

Probability: A Very Short Introduction PDF Author: John Haigh
Publisher: OUP Oxford
ISBN: 0191636835
Category : Mathematics
Languages : en
Pages : 144

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Book Description
Making good decisions under conditions of uncertainty - which is the norm - requires a sound appreciation of the way random chance works. As analysis and modelling of most aspects of the world, and all measurement, are necessarily imprecise and involve uncertainties of varying degrees, the understanding and management of probabilities is central to much work in the sciences and economics. In this Very Short Introduction, John Haigh introduces the ideas of probability and different philosophical approaches to probability, and gives a brief account of the history of development of probability theory, from Galileo and Pascal to Bayes, Laplace, Poisson, and Markov. He describes the basic probability distributions, and goes on to discuss a wide range of applications in science, economics, and a variety of other contexts such as games and betting. He concludes with an intriguing discussion of coincidences and some curious paradoxes. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Number Theory

Number Theory PDF Author: Robin Wilson
Publisher: Oxford University Press, USA
ISBN: 0198798091
Category : Mathematics
Languages : en
Pages : 177

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Book Description
Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.

Applied Mathematics: A Very Short Introduction

Applied Mathematics: A Very Short Introduction PDF Author: Alain Goriely
Publisher: Oxford University Press
ISBN: 0191068888
Category : Mathematics
Languages : en
Pages : 169

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Book Description
Mathematics is playing an increasing important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.