Guide to Analysis


Author: F. Mary Hart
Publisher: Macmillan International Higher Education
ISBN: 1349093904
Category: Applied mathematics
Page: 202
View: 4974

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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: 9651

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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.

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: 2825

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

Guide to Mathematical Modelling


Author: Dilwyn Edwards,Mike Hamson
Publisher: Macmillan International Higher Education
ISBN: 1349100420
Category: Applied mathematics
Page: 277
View: 6024

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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 Guide to Functional Analysis


Author: Steven G. Krantz
Publisher: MAA
ISBN: 0883853574
Category: Mathematics
Page: 150
View: 5465

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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 Fourier Transforms

With Applications in Physics and Engineering
Author: John Francis James
Publisher: Cambridge University Press
ISBN: 9780521004282
Category: Mathematics
Page: 135
View: 5128

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

Oxford Users' Guide to Mathematics


Author: Eberhard Zeidler
Publisher: Oxford University Press
ISBN: 9780198507635
Category: Business & Economics
Page: 1284
View: 5462

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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 Dimensional Analysis


Author: Don S. Lemons
Publisher: Cambridge University Press
ISBN: 110814618X
Category: Science
Page: N.A
View: 5677

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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 Student's Guide to Entropy


Author: Don S. Lemons
Publisher: Cambridge University Press
ISBN: 1107470048
Category: Science
Page: 200
View: 7593

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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 Mathematics Leadership

Sequencing Instructional Change
Author: Don S. Balka,Ted H. Hull,Ruth Harbin Miles
Publisher: Corwin Press
ISBN: 1412975433
Category: Education
Page: 153
View: 1851

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Written by three noted mathematics educators, this volume presents a process-based approach to building a high-quality mathematics program based on five NCTM principles and four NCSM leadership principles.

The Manga Guide to Calculus


Author: Hiroyuki Kojima,Shin Togami,Co Ltd Becom
Publisher: No Starch Press
ISBN: 1593272960
Category: Mathematics
Page: 256
View: 2188

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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.

A Guide to Complex Variables


Author: Steven G. Krantz
Publisher: MAA
ISBN: 9780883853382
Category: Mathematics
Page: 182
View: 3636

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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 Foundations of Mathematics


Author: Ian Stewart,David Tall
Publisher: Oxford University Press, USA
ISBN: 019870643X
Category: Mathematics
Page: 432
View: 9430

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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.

An Illustrated Guide to Relativity


Author: Tatsu Takeuchi
Publisher: Cambridge University Press
ISBN: 0521141001
Category: Science
Page: 256
View: 5983

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Presents a step-by-step explanation of Einstein's Special Theory of Relativity through a series of diagrams rather than equations.

A Student's Guide to Numerical Methods


Author: Ian H. Hutchinson
Publisher: Cambridge University Press
ISBN: 1107095670
Category: Computers
Page: 221
View: 3181

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

A Student's Guide to Vectors and Tensors


Author: Daniel A. Fleisch
Publisher: Cambridge University Press
ISBN: 1139503944
Category: Science
Page: N.A
View: 1478

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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.

A Student's Guide to Data and Error Analysis


Author: Herman J. C. Berendsen
Publisher: Cambridge University Press
ISBN: 1139497855
Category: Technology & Engineering
Page: N.A
View: 3011

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All students taking laboratory courses within the physical sciences and engineering will benefit from this book, whilst researchers will find it an invaluable reference. This concise, practical guide brings the reader up-to-speed on the proper handling and presentation of scientific data and its inaccuracies. It covers all the vital topics with practical guidelines, computer programs (in Python), and recipes for handling experimental errors and reporting experimental data. In addition to the essentials, it also provides further background material for advanced readers who want to understand how the methods work. Plenty of examples, exercises and solutions are provided to aid and test understanding, whilst useful data, tables and formulas are compiled in a handy section for easy reference.

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: 6175

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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.