Guide to Analysis


Author: F. Mary Hart
Publisher: Macmillan International Higher Education
ISBN: 1349093904
Category: Applied mathematics
Page: 202
View: 6686

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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.

Guide to Linear Algebra


Author: David A. Towers
Publisher: Macmillan International Higher Education
ISBN: 1349093181
Category: Algebra
Page: 220
View: 2567

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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.

Guide to Mathematical Modelling


Author: Dilwyn Edwards,Mike Hamson
Publisher: Macmillan International Higher Education
ISBN: 1349100420
Category: Applied mathematics
Page: 277
View: 6503

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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.

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: 6167

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

A Guide to Functional Analysis


Author: Steven G. Krantz
Publisher: MAA
ISBN: 0883853574
Category: Mathematics
Page: 150
View: 4067

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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.

A Student's Guide to Dimensional Analysis


Author: Don S. Lemons
Publisher: Cambridge University Press
ISBN: 110814618X
Category: Science
Page: N.A
View: 7407

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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.

A Guide to Complex Variables


Author: Steven G. Krantz
Publisher: MAA
ISBN: 9780883853382
Category: Mathematics
Page: 182
View: 4563

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

The Manga Guide to Calculus


Author: Hiroyuki Kojima,Shin Togami,Co Ltd Becom
Publisher: No Starch Press
ISBN: 1593272960
Category: Mathematics
Page: 256
View: 6398

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Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye. In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor). Mr. Seki teaches Noriko how to: –Use differentiation to understand a function's rate of change –Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral –Integrate and differentiate trigonometric and other complicated functions –Use multivariate calculus and partial differentiation to deal with tricky functions –Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus. This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.

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: 5885

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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.

A Student's Guide to Maxwell's Equations


Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 9781139468473
Category: Science
Page: N.A
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Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

A Student's Guide to Vectors and Tensors


Author: Daniel A. Fleisch
Publisher: Cambridge University Press
ISBN: 1139503944
Category: Science
Page: N.A
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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.

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: 4432

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A jargon-free introduction for students and researchers looking to interpret the practical significance of their results.

The Foundations of Mathematics


Author: Ian Stewart,David Tall
Publisher: Oxford University Press, USA
ISBN: 019870643X
Category: Mathematics
Page: 432
View: 1717

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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.

A Guide to Advanced Linear Algebra


Author: Steven H. Weintraub
Publisher: MAA
ISBN: 0883853515
Category: Mathematics
Page: 251
View: 3541

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Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Students in algebra, analysis, and topology will find much of interest and use to them, and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups.The book treats vector spaces in full generality, though it concentrates on the finite dimensional case. Also, it treats vector spaces over arbitrary fields, specializing to algebraically closed fields or to the fields of real and complex numbers as necessary.

A Student's Guide to Numerical Methods


Author: Ian H. Hutchinson
Publisher: Cambridge University Press
ISBN: 1107095670
Category: Computers
Page: 221
View: 3253

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

The Foundations of Mathematics


Author: Ian Stewart,David Orme Tall
Publisher: Oxford University Press on Demand
ISBN: 9780198531654
Category: Fiction
Page: 263
View: 692

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"There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books

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: 1068

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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.

MATLAB Guide, Third Edition


Author: Desmond J. Higham,Nicholas J. Higham
Publisher: SIAM
ISBN: 1611974666
Category: Science
Page: 476
View: 6286

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MATLAB is an interactive system for numerical computation that is widely used for teaching and research in industry and academia. It provides a modern programming language and problem solving environment, with powerful data structures, customizable graphics, and easy-to-use editing and debugging tools. This third edition of MATLAB Guide completely revises and updates the best-selling second edition and is more than 30 percent longer. The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox. Key features are a tutorial in Chapter 1 that gives a hands-on overview of MATLAB; a thorough treatment of MATLAB mathematics, including the linear algebra and numerical analysis functions and the differential equation solvers; and a web page at http://www.siam.org/books/ot150 that provides example program files, updates, and links to MATLAB resources. The new edition contains color figures throughout; includes pithy discussions of related topics in new ?Asides" boxes that augment the text; has new chapters on the Parallel Computing Toolbox, object-oriented programming, graphs, and large data sets; covers important new MATLAB data types such as categorical arrays, string arrays, tall arrays, tables, and timetables; contains more on MATLAB workflow, including the Live Editor and unit tests; and fully reflects major updates to the MATLAB graphics system. This book is suitable for both beginners and more experienced users, including students, researchers, and practitioners.