Guide to Analysis

Author: F. Mary Hart

Publisher: Macmillan International Higher Education

ISBN: 1349093904

Category: Applied mathematics

Page: 202

View: 5545

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 Mathematical Modelling

Author: Dilwyn Edwards,Mike Hamson

Publisher: Macmillan International Higher Education

ISBN: 1349100420

Category: Applied mathematics

Page: 277

View: 1838

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.

Guide to Linear Algebra

Author: David A. Towers

Publisher: Macmillan International Higher Education

ISBN: 1349093181

Category: Algebra

Page: 220

View: 4605

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.

A Guide to Functional Analysis

Author: Steven G. Krantz

Publisher: MAA

ISBN: 0883853574

Category: Mathematics

Page: 150

View: 7828

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 the Mathematics of Astronomy

Author: Daniel Fleisch,Julia Kregenow

Publisher: Cambridge University Press

ISBN: 1107034949

Category: Science

Page: 205

View: 2085

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

A Student's Guide to Dimensional Analysis

Author: Don S. Lemons

Publisher: Cambridge University Press

ISBN: 110814618X

Category: Science

Page: N.A

View: 1977

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.

Oxford Users' Guide to Mathematics

Author: Eberhard Zeidler

Publisher: Oxford University Press

ISBN: 9780198507635

Category: Business & Economics

Page: 1284

View: 9546

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.

A Student's Guide to Entropy

Author: Don S. Lemons

Publisher: Cambridge University Press

ISBN: 1107470048

Category: Science

Page: 200

View: 1652

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.

A Guide to Advanced Real Analysis

Author: G. B. Folland

Publisher: MAA

ISBN: 9780883853436

Category: Mathematics

Page: 107

View: 5189

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

Guide to Numerical Analysis

Author: N.A

Publisher: Macmillan International Higher Education

ISBN: 1349097845

Category:

Page: 208

View: 1937

A Student's Guide to Atomic Physics

Author: Mark Fox

Publisher: Student's Guides

ISBN: 1107188733

Category: Science

Page: 292

View: 5411

A concise overview of the fundamental concepts and applications of atomic physics for students including examples, problems, and diagrams of key concepts.

A Guide to Complex Variables

Author: Steven G. Krantz

Publisher: MAA

ISBN: 9780883853382

Category: Mathematics

Page: 182

View: 5828

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

From Sets and Types to Topology and Analysis

Towards Practicable Foundations for Constructive Mathematics

Author: Laura Crosilla,Peter Schuster

Publisher: Oxford University Press on Demand

ISBN: 0198566514

Category: Mathematics

Page: 350

View: 5905

Bridging the foundations and practice of constructive mathematics, this text focusses on the contrast between the theoretical developments - which have been most useful for computer science - and more specific efforts on constructive analysis, algebra and topology.

The Chicago Guide to Writing about Numbers, Second Edition

Author: Jane E. Miller

Publisher: University of Chicago Press

ISBN: 022618580X

Category: Reference

Page: 360

View: 7865

Earning praise from scientists, journalists, faculty, and students, The Chicago Guide to Writing about Numbers has helped thousands of writers communicate data clearly and effectively. Its publication offered a much-needed bridge between good quantitative analysis and clear expository writing, using straightforward principles and efficient prose. With this new edition, Jane Miller draws on a decade of additional experience and research, expanding her advice on reaching everyday audiences and further integrating non-print formats. Miller, an experienced teacher of research methods, statistics, and research writing, opens by introducing a set of basic principles for writing about numbers, then presents a toolkit of techniques that can be applied to prose, tables, charts, and presentations. Throughout the book, she emphasizes flexibility, showing writers that different approaches work for different kinds of data and different types of audiences. The second edition adds a chapter on writing about numbers for lay audiences, explaining how to avoid overwhelming readers with jargon and technical issues. Also new is an appendix comparing the contents and formats of speeches, research posters, and papers, to teach writers how to create all three types of communication without starting each from scratch. An expanded companion website includes new multimedia resources such as slide shows and podcasts that illustrate the concepts and techniques, along with an updated study guide of problem sets and suggested course extensions. This continues to be the only book that brings together all the tasks that go into writing about numbers, integrating advice on finding data, calculating statistics, organizing ideas, designing tables and charts, and writing prose all in one volume. Field-tested with students and professionals alike, this holistic book is the go-to guide for everyone who writes or speaks about numbers.

The Manga Guide to Calculus

Author: Hiroyuki Kojima,Shin Togami,Co Ltd Becom

Publisher: No Starch Press

ISBN: 1593272960

Category: Mathematics

Page: 256

View: 3629

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.

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: 6682

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.

A Student's Guide to Vectors and Tensors

Author: Daniel A. Fleisch

Publisher: Cambridge University Press

ISBN: 1139503944

Category: Science

Page: N.A

View: 2602

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.

A Student's Guide to Numerical Methods

Author: Ian H. Hutchinson

Publisher: Cambridge University Press

ISBN: 1107095670

Category: Computers

Page: 221

View: 6146

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

Guide to Mathematical Methods

Author: John Gilbert,Camilla R. Jordan

Publisher: Macmillan International Higher Education

ISBN: 1403914567

Category: Mathematics

Page: 448

View: 2250

A second edition of this text for science and engineering undergraduates which introduces the mathematical techniques and tools needed to solve the mathematical problems they will face on the first year of their course. Updated and revised by Camilla Jordan, the book now has additional examples and practice your skills sections. As with other titles in the Mathematical Guides series, this book is designed to enable students to acquire confidence and provides a solid foundation for further study

A Guide to Advanced Linear Algebra

Author: Steven H. Weintraub

Publisher: MAA

ISBN: 0883853515

Category: Mathematics

Page: 251

View: 2420

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.