Guide to Analysis

Author: F. Mary Hart

Publisher: Macmillan International Higher Education

ISBN: 1349093904

Category: Applied mathematics

Page: 202

View: 6883

Guide to Analysis aims to minimise the difficulties which arise from the contrast between analysis and sixth form mathematics. It includes historical notes and anecdotes which will help the reader to appreciate how the subject developed to its present form. Plenty of worked and unworked examples, the latter with hints for solution and answers, are also included.
Posted in Applied mathematics

Guide to Linear Algebra

Author: David A. Towers

Publisher: Macmillan International Higher Education

ISBN: 1349093181

Category: Algebra

Page: 220

View: 8788

This textbook offers a carefully paced and sympathetic treatment of linear algebra, assuming knowledge only of the basic notation and elementary ideas of set theory. It progresses gradually to the more powerful and abstract notions of linear algebra, providing exercises which test and develop the reader's understanding at the end of each section. Full answers are given for most of the exercises to facilitate self-paced study.
Posted in Algebra

Guide to Mathematical Modelling

Author: Dilwyn Edwards,Mike Hamson

Publisher: Macmillan International Higher Education

ISBN: 1349100420

Category: Applied mathematics

Page: 277

View: 4225

The authors' enthusiasm for their subject is eloquently conveyed in this book, and draws the reader very quickly into active investigation of the problems posed. By providing plenty of modelling examples from a wide variety of fields - most of which are familiar from everyday life - the book shows how to apply mathematical ideas to situations which would not previously have been considered to be 'mathematical' in character.
Posted in Applied mathematics

A Student's Guide to Fourier Transforms

With Applications in Physics and Engineering

Author: John Francis James

Publisher: Cambridge University Press

ISBN: 9780521004282

Category: Mathematics

Page: 135

View: 1883

New edition of a successful undergraduate guide to the basics of an important mathematical technique.
Posted in Mathematics

A Student's Guide to the Mathematics of Astronomy

Author: Daniel Fleisch,Julia Kregenow

Publisher: Cambridge University Press

ISBN: 1107034949

Category: Science

Page: 205

View: 9685

Plain-language explanations and a rich set of supporting material help students understand the mathematical concepts and techniques of astronomy.
Posted in Science

Oxford Users' Guide to Mathematics

Author: Eberhard Zeidler

Publisher: Oxford University Press

ISBN: 9780198507635

Category: Business & Economics

Page: 1284

View: 2869

The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.
Posted in Business & Economics

A Student's Guide to Dimensional Analysis

Author: Don S. Lemons

Publisher: Cambridge University Press

ISBN: 110814618X

Category: Science

Page: N.A

View: 1914

This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals.
Posted in Science

A Guide to Functional Analysis

Author: Steven G. Krantz

Publisher: MAA

ISBN: 0883853574

Category: Mathematics

Page: 150

View: 1750

This book is a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and even some applications. It concludes with a statement and proof of Lomonosov's dramatic result about invariant subspaces.
Posted in Mathematics

A Student's Guide to Entropy

Author: Don S. Lemons

Publisher: Cambridge University Press

ISBN: 1107470048

Category: Science

Page: 200

View: 536

Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy from desired properties, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and important applications are highlighted in over 20 worked examples. Around 50 end-of-chapter exercises test readers' understanding. The book also features a glossary giving definitions for all essential terms, a time line showing important developments, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.
Posted in Science

A Guide to Advanced Real Analysis

Author: G. B. Folland

Publisher: MAA

ISBN: 9780883853436

Category: Mathematics

Page: 107

View: 9731

A concise guide to the core material in a graduate level real analysis course.
Posted in Mathematics

The Foundations of Mathematics

Author: Ian Stewart,David Tall

Publisher: Oxford University Press, USA

ISBN: 019870643X

Category: Mathematics

Page: 432

View: 7864

The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.
Posted in Mathematics

A Student's Guide to Numerical Methods

Author: Ian H. Hutchinson

Publisher: Cambridge University Press

ISBN: 1107095670

Category: Computers

Page: 221

View: 6980

A plain language style, worked examples and exercises help students to understand the foundations of computational physics and engineering.
Posted in Computers

A Guide to Complex Variables

Author: Steven G. Krantz

Publisher: MAA

ISBN: 9780883853382

Category: Mathematics

Page: 182

View: 2733

A quick and easy-to-use introduction to the key topics in complex variables, for mathematicians and non-mathematicians alike.
Posted in Mathematics

The Essential Guide to Effect Sizes

Statistical Power, Meta-Analysis, and the Interpretation of Research Results

Author: Paul D. Ellis

Publisher: Cambridge University Press

ISBN: 0521142466

Category: Business & Economics

Page: 173

View: 9869

A jargon-free introduction for students and researchers looking to interpret the practical significance of their results.
Posted in Business & Economics

Statistics for Compensation

A Practical Guide to Compensation Analysis

Author: John H. Davis

Publisher: John Wiley & Sons

ISBN: 1118002067

Category: Mathematics

Page: 456

View: 8744

An insightful, hands-on focus on the statistical methods used by compensation and human resources professionals in their everyday work Across various industries, compensation professionals work to organize and analyze aspects of employment that deal with elements of pay, such as deciding base salary, bonus, and commission provided by an employer to its employees for work performed. Acknowledging the numerous quantitative analyses of data that are a part of this everyday work, Statistics for Compensation provides a comprehensive guide to the key statistical tools and techniques needed to perform those analyses and to help organizations make fully informed compensation decisions. This self-contained book is the first of its kind to explore the use of various quantitative methods—from basic notions about percents to multiple linear regression—that are used in the management, design, and implementation of powerful compensation strategies. Drawing upon his extensive experience as a consultant, practitioner, and teacher of both statistics and compensation, the author focuses on the usefulness of the techniques and their immediate application to everyday compensation work, thoroughly explaining major areas such as: Frequency distributions and histograms Measures of location and variability Model building Linear models Exponential curve models Maturity curve models Power models Market models and salary survey analysis Linear and exponential integrated market models Job pricing market models Throughout the book, rigorous definitions and step-by-step procedures clearly explain and demonstrate how to apply the presented statistical techniques. Each chapter concludes with a set of exercises, and various case studies showcase the topic's real-world relevance. The book also features an extensive glossary of key statistical terms and an appendix with technical details. Data for the examples and practice problems are available in the book and on a related FTP site. Statistics for Compensation is an excellent reference for compensation professionals, human resources professionals, and other practitioners responsible for any aspect of base pay, incentive pay, sales compensation, and executive compensation in their organizations. It can also serve as a supplement for compensation courses at the upper-undergraduate and graduate levels.
Posted in Mathematics

Mastering Financial Calculations

A step-by-step guide to the mathematics of financial market instruments

Author: Bob Steiner

Publisher: Pearson UK

ISBN: 0273750607

Category: Business & Economics

Page: 616

View: 8103

Success in today's sophisticated financial markets depends on a firm understanding of key financial concepts and mathematical techniques. Mastering Financial Calculations explains them in a clear, comprehensive way — so even if your mathematical background is limited, you'll thoroughly grasp what you need to know. Mastering Financial Calculations starts by introducing the fundamentals of financial market arithmetic, including the core concepts of discounting, net present value, effective yields, and cash flow analysis. Next, walk step-by-step through the essential calculations and financial techniques behind money markets and futures, zero-coupon analysis, interest rate and currency swaps, bonds, foreign exchange, options, and more. Making use of many worked examples and practical exercises, the book explains challenging concepts such as forward pricing, duration analysis, swap valuation, and option pricing - all with exceptional clarity. Whether you are a trader, fund manager, corporate treasurer, programmer, accountant, risk manager, or market student, you'll gain the ability to manipulate and apply these techniques with speed and confidence.
Posted in Business & Economics

Secrets of Mental Math

The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks

Author: Arthur Benjamin,Michael Shermer

Publisher: Three Rivers Press

ISBN: 9780307347466

Category: Mathematics

Page: 224

View: 1535

These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.
Posted in Mathematics

A Student's Guide to Vectors and Tensors

Author: Daniel A. Fleisch

Publisher: Cambridge University Press

ISBN: 1139503944

Category: Science

Page: N.A

View: 943

Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
Posted in Science

What is Mathematical Analysis?

Author: John Baylis

Publisher: Palgrave

ISBN: 9780333540640

Category: Mathematical analysis

Page: 130

View: 5710

Posted in Mathematical analysis