Sabtu, 15 November 2014

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  • Published on: 1992-12-17
  • Binding: Spiral-bound

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Kamis, 13 November 2014

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Mathematical Analysis I (Universitext)By Vladimir A. Zorich

This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis.

The main difference between the second and first English editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals. Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics.

The first volume constitutes a complete course in one-variable calculus along with the multivariable differential calculus elucidated in an up-to-date, clear manner, with a pleasant geometric and natural sciences flavor.

  • Sales Rank: #1388575 in Books
  • Published on: 2016-03-01
  • Original language: Russian
  • Number of items: 1
  • Dimensions: 9.21" h x 1.38" w x 6.14" l, .0 pounds
  • Binding: Hardcover
  • 616 pages

Review

“This is a thorough and easy-to-follow text for a beginning course in real analysis … . In coverage the book is slanted towards physics (mostly mechanics), and in particular there is a lot about line and surface integrals. … Will be popular with students because of the detailed explanations and the worked examples.” (Allen Stenger, MAA Reviews, maa.org, May, 2016)

From the Back Cover

VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book Mathematical Analysis of Problems in the Natural Sciences .


This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis.

The main difference between the second and first English editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals.

Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics.

The first volume constitutes a complete course in one-variable calculus along with the multivariable differential calculus elucidated in an up-to-date, clear manner, with a pleasant geometric and natural sciences flavor.


“...Complete logical rigor of discussion...is combined with simplicity and completeness as well as with the development of the habit to work with real problems from natural sciences. ” From a review by A.N. Kolmogorov of the first Russian edition of this course

“...We see here not only a mathematical pattern, but also the way it works in the solution of nontrivial questions outside mathematics. ...The course is unusually rich in ideas and shows clearly the power of the ideas and methods of modern mathematics in the study of particular problems....In my opinion, this course is the best of the existing modern courses of analysis.” From a review by V.I.Arnold


About the Author
VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book “Mathematical Analysis of Problems in the Natural Sciences”.

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Jumat, 07 November 2014

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xUnit Test Patterns: Refactoring Test CodeBy Gerard Meszaros

Automated testing is a cornerstone of agile development. An effective testing strategy will deliver new functionality more aggressively, accelerate user feedback, and improve quality. However, for many developers, creating effective automated tests is a unique and unfamiliar challenge.

xUnit Test Patterns is the definitive guide to writing automated tests using xUnit, the most popular unit testing framework in use today. Agile coach and test automation expert Gerard Meszaros describes 68 proven patterns for making tests easier to write, understand, and maintain. He then shows you how to make them more robust and repeatable--and far more cost-effective.

Loaded with information, this book feels like three books in one. The first part is a detailed tutorial on test automation that covers everything from test strategy to in-depth test coding. The second part, a catalog of 18 frequently encountered "test smells," provides trouble-shooting guidelines to help you determine the root cause of problems and the most applicable patterns. The third part contains detailed descriptions of each pattern, including refactoring instructions illustrated by extensive code samples in multiple programming languages.

Topics covered include

  • Writing better tests--and writing them faster
  • The four phases of automated tests: fixture setup, exercising the system under test, result verification, and fixture teardown
  • Improving test coverage by isolating software from its environment using Test Stubs and Mock Objects
  • Designing software for greater testability
  • Using test "smells" (including code smells, behavior smells, and project smells) to spot problems and know when and how to eliminate them
  • Refactoring tests for greater simplicity, robustness, and execution speed

This book will benefit developers, managers, and testers working with any agile or conventional development process, whether doing test-driven development or writing the tests last. While the patterns and smells are especially applicable to all members of the xUnit family, they also apply to next-generation behavior-driven development frameworks such as RSpec and JBehave and to other kinds of test automation tools, including recorded test tools and data-driven test tools such as Fit and FitNesse.

Visual Summary of the Pattern Language  Foreword Preface Acknowledgments Introduction Refactoring a Test PART I: The Narratives Chapter 1 A Brief Tour Chapter 2 Test Smells Chapter 3 Goals of Test Automation Chapter 4 Philosophy of Test Automation Chapter 5 Principles of Test Automation Chapter 6 Test Automation Strategy Chapter 7 xUnit Basics Chapter 8 Transient Fixture Management Chapter 9 Persistent Fixture Management Chapter 10 Result Verification Chapter 11 Using Test Doubles Chapter 12 Organizing Our Tests Chapter 13 Testing with Databases Chapter 14 A Roadmap to Effective Test Automation PART II: The Test Smells  Chapter 15 Code Smells Chapter 16 Behavior Smells Chapter 17 Project Smells PART III: The Patterns  Chapter 18 Test Strategy Patterns Chapter 19 xUnit Basics Patterns Chapter 20 Fixture Setup Patterns Chapter 21 Result Verification Patterns Chapter 22 Fixture Teardown Patterns Chapter 23 Test Double Patterns Chapter 24 Test Organization Patterns Chapter 25 Database Patterns Chapter 26 Design-for-Testability Patterns Chapter 27 Value Patterns PART IV: Appendixes Appendix A Test Refactorings   Appendix B xUnit Terminology  Appendix C xUnit Family Members Appendix D Tools Appendix E Goals and Principles Appendix F Smells, Aliases, and Causes Appendix G Patterns, Aliases, and Variations Glossary References  Index 

  • Amazon Sales Rank: #183468 in Books
  • Published on: 2007-05-31
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.30" h x 2.30" w x 7.00" l, 3.65 pounds
  • Binding: Hardcover
  • 833 pages

From the Back Cover Automated testing is a cornerstone of agile development. An effective testing strategy will deliver new functionality more aggressively, accelerate user feedback, and improve quality. However, for many developers, creating effective automated tests is a unique and unfamiliar challenge."xUnit Test Patterns" is the definitive guide to writing automated tests using xUnit, the most popular unit testing framework in use today. Agile coach and test automation expert Gerard Meszaros describes 68 proven patterns for making tests easier to write, understand, and maintain. He then shows you how to make them more robust and repeatable--and far more cost-effective.Loaded with information, this book feels like three books in one. The first part is a detailed tutorial on test automation that covers everything from test strategy to in-depth test coding. The second part, a catalog of 18 frequently encountered "test smells," provides trouble-shooting guidelines to help you determine the root cause of problems and the most applicable patterns. The third part contains detailed descriptions of each pattern, including refactoring instructions illustrated by extensive code samples in multiple programming languages.Topics covered include Writing better tests--and writing them faster The four phases of automated tests: fixture setup, exercising the system under test, result verification, and fixture teardown Improving test coverage by isolating software from its environment using Test Stubs and Mock Objects Designing software for greater testability Using test "smells" (including code smells, behavior smells, and project smells) to spot problems and know when and how to eliminate them Refactoring tests for greater simplicity, robustness, and execution speedThis book will benefit developers, managers, and testers working with any agile or conventional development process, whether doing test-driven development or writing the tests last. While the patterns and smells are especially applicable to all members of the xUnit family, they also apply to next-generation behavior-driven development frameworks such as RSpec and JBehave and to other kinds of test automation tools, including recorded test tools and data-driven test tools such as Fit and FitNesse. "Visual Summary of the Pattern Language " " Foreword "" Preface "" Acknowledgments "" Introduction "" Refactoring a Test " PART I: The Narratives Chapter 1 A Brief Tour Chapter 2 Test Smells Chapter 3 Goals of Test Automation Chapter 4 Philosophy of Test Automation Chapter 5 Principles of Test Automation Chapter 6 Test Automation Strategy Chapter 7 xUnit Basics Chapter 8 Transient Fixture Management Chapter 9 Persistent Fixture Management Chapter 10 Result Verification Chapter 11 Using Test Doubles Chapter 12 Organizing Our Tests Chapter 13 Testing with Databases Chapter 14 A Roadmap to Effective Test Automation PART II: The Test Smells Chapter 15 Code Smells Chapter 16 Behavior Smells Chapter 17 Project Smells PART III: The Patterns Chapter 18 Test Strategy Patterns Chapter 19 xUnit Basics Patterns Chapter 20 Fixture Setup Patterns Chapter 21 Result Verification Patterns Chapter 22 Fixture Teardown Patterns Chapter 23 Test Double Patterns Chapter 24 Test Organization Patterns Chapter 25 Database Patterns Chapter 26 Design-for-Testability Patterns Chapter 27 Value Patterns PART IV: Appendixes Appendix A Test Refactorings Appendix B xUnit Terminology Appendix C xUnit Family Members Appendix D Tools Appendix E Goals and Principles Appendix F Smells, Aliases, and Causes Appendix G Patterns, Aliases, and Variations "Glossary "" References " " Index "

About the Author Gerard Meszaros is Chief Scientist and Senior Consultant at ClearStream Consulting, a Calgary-based consultancy specializing in agile development. He has more than a decade of experience with automated unit testing frameworks and is a leading expert in test automation patterns, refactoring of software and tests, and design for testability.

Excerpt. © Reprinted by permission. All rights reserved. The Value of Self-Testing Code

In Chapter 4 of Refactoring Ref, Martin Fowler writes:

If you look at how most programmers spend their time, you'll find that writing code is actually a small fraction. Some time is spent figuring out what ought to be going on, some time is spent designing, but most time is spent debugging. I'm sure every reader can remember long hours of debugging, often long into the night. Every programmer can tell a story of a bug that took a whole day (or more) to find. Fixing the bug is usually pretty quick, but finding it is a nightmare. And then when you do fix a bug, there's always a chance that anther one will appear and that you might not even notice it until much later. Then you spend ages finding that bug.

Some software is very difficult to test manually. In these cases, we are often forced into writing test programs.

I recall a project I was working on in 1996. My task was to build an event framework that would let client software register for an event and be notified when some other software raised that event (the Observer GOF pattern). I could not think of a way to test this framework without writing some sample client software. I had about 20 different scenarios I needed to test, so I coded up each scenario with the requisite number of observers, events, and event raisers. At first, I logged what was occurring in the console and scanned it manually. This scanning became very tedious very quickly.

Being quite lazy, I naturally looked for an easier way to perform this testing. For each test I populated a Dictionary indexed by the expected event and the expected receiver of it with the name of the receiver as the value. When a particular receiver was notified of the event, it looked in the Dictionary for the entry indexed by itself and the event it had just received. If this entry existed, the receiver removed the entry. If it didn't, the receiver added the entry with an error message saying it was an unexpected event notification.

After running all the tests, the test program merely looked in the Dictionary and printed out its contents if it was not empty. As a result, running all of my tests had a nearly zero cost. The tests either passed quietly or spewed a list of test failures. I had unwittingly discovered the concept of a Mock Object (page 544) and a Test Automation Framework (page 298) out of necessity!

My First XP Project

In late 1999, I attended the OOPSLA conference, where I picked up a copy of Kent Beck's new book, eXtreme Programming Explained XPE. I was used to doing iterative and incremental development and already believed in the value of automated unit testing, although I had not tried to apply it universally. I had a lot of respect for Kent, whom I had known since the first PLoP1 conference in 1994. For all these reasons, I decided that it was worth trying to apply eXtreme Programming on a ClearStream Consulting project. Shortly after OOPSLA, I was fortunate to come across a suitable project for trying out this development approach--namely, an add-on application that interacted with an existing database but had no user interface. The client was open to developing software in a different way.

We started doing eXtreme Programming "by the book" using pretty much all of the practices it recommended, including pair programming, collective ownership, and test-driven development. Of course, we encountered a few challenges in figuring out how to test some aspects of the behavior of the application, but we still managed to write tests for most of the code. Then, as the project progressed, I started to notice a disturbing trend: It was taking longer and longer to implement seemingly similar tasks.

I explained the problem to the developers and asked them to record on each task card how much time had been spent writing new tests, modifying existing tests, and writing the production code. Very quickly, a trend emerged. While the time spent writing new tests and writing the production code seemed to be staying more or less constant, the amount of time spent modifying existing tests was increasing and the developers' estimates were going up as a result. When a developer asked me to pair on a task and we spent 90% of the time modifying existing tests to accommodate a relatively minor change, I knew we had to change something, and soon!

When we analyzed the kinds of compile errors and test failures we were experiencing as we introduced the new functionality, we discovered that many of the tests were affected by changes to methods of the system under test (SUT). This came as no surprise, of course. What was surprising was that most of the impact was felt during the fixture setup part of the test and that the changes were not affecting the core logic of the tests.

This revelation was an important discovery because it showed us that we had the knowledge about how to create the objects of the SUT scattered across most of the tests. In other words, the tests knew too much about nonessential parts of the behavior of the SUT. I say "nonessential" because most of the affected tests did not care about how the objects in the fixture were created; they were interested in ensuring that those objects were in the correct state. Upon further examination, we found that many of the tests were creating identical or nearly identical objects in their test fixtures.

The obvious solution to this problem was to factor out this logic into a small set of Test Utility Methods (page 599). There were several variations:

  • When we had a bunch of tests that needed identical objects, we simply created a method that returned that kind of object ready to use. We now call these Creation Methods (page 415).
  • Some tests needed to specify different values for some attribute of the object. In these cases, we passed that attribute as a parameter to the Parameterized Creation Method (see Creation Method).
  • Some tests wanted to create a malformed object to ensure that the SUT would reject it. Writing a separate Parameterized Creation Method for each attribute cluttered the signature of our Test Helper (page 643), so we created a valid object and then replaced the value of the One Bad Attribute (see Derived Value on page 718).
We had discovered what would become2 our first test automation patterns.

Later, when tests started failing because the database did not like the fact that we were trying to insert another object with the same key that had a unique constraint, we added code to generate the unique key programmatically. We called this variant an Anonymous Creation Method (see Creation Method) to indicate the presence of this added behavior.

Identifying the problem that we now call a Fragile Test (page 239) was an important event on this project, and the subsequent definition of its solution patterns saved this project from possible failure. Without this discovery we would, at best, have abandoned the automated unit tests that we had already built. At worst, the tests would have reduced our productivity so much that we would have been unable to deliver on our commitments to the client. As it turned out, we were able to deliver what we had promised and with very good quality. Yes, the testers3 still found bugs in our code because we were definitely missing some tests. Introducing the changes needed to fix those bugs, once we had figured out what the missing tests needed to look like, was a relatively straightforward process, however.

We were hooked. Automated unit testing and test-driven development really did work, and we have been using them consistently ever since.

As we applied the practices and patterns on subsequent projects, we have run into new problems and challenges. In each case, we have "peeled the onion" to find the root cause and come up with ways to address it. As these techniques have matured, we have added them to our repertoire of techniques for automated unit testing.

We first described some of these patterns in a paper presented at XP2001. In discussions with other participants at that and subsequent conferences, we discovered that many of our peers were using the same or similar techniques. That elevated our methods from "practice" to "pattern" (a recurring solution to a recurring problem in a context). The first paper on test smells RTC was presented at the same conference, building on the concept of code smells first described in Ref.

My Motivation

I am a great believer in the value of automated unit testing. I practiced software development without it for the better part of two decades, and I know that my professional life is much better with it than without it. I believe that the xUnit framework and the automated tests it enables are among the truly great advances in software development. I find it very frustrating when I see companies trying to adopt automated unit testing but being unsuccessful because of a lack of key information and skills.

As a software development consultant with ClearStream Consulting, I see a lot of projects. Sometimes I am called in early on a project to help clients make sure they "do things right." More often than not, however, I am called in when things are already off the rails. As a result, I see a lot of "worst practices" that result in test smells. If I am lucky and I am called early enough, I can help the client recover from the mistakes. If not, the client will likely muddle through less than satisfied with how TDD and automated unit testing worked--and the word goes out that automated unit testing is a waste of time.

In hindsight, most of these mistakes and best practices are easily avoidable given the right knowledge at the right time. But how do you obtain that knowledge without making the mistakes for yourself? At the risk of sounding self-serving, hiring someone who has the knowledge is the most time-efficient way of learning any new practice or technology. According to Gerry Weinberg's "Law of Raspberry Jam" SoC,4 taking a course or reading a book is a much less effective (though less expensive) alternative. I hope that by writing down a lot of these mistakes and suggesting ways to avoid them, I can save you a lot of grief on your project, whether it is fully agile or just more agile than it has been in the past--the "Law of Raspberry Jam" not withstanding.

Who This Book Is For

I have written this book primarily for software developers (programmers, designers, and architects) who want to write better tests and for the managers and coaches who need to understand what the developers are doing and why the developers need to be cut enough slack so they can learn to do it even better! The focus here is on developer tests and customer tests that are automated using xUnit. In addition, some of the higher-level patterns apply to tests that are automated using technologies other than xUnit. Rick Mugridge and Ward Cunningham have written an excellent book on Fit FitB, and they advocate many of the same practices.

Developers will likely want to read the book from cover to cover, but they should focus on skimming the reference chapters rather than trying to read them word for word. The emphasis should be on getting an overall idea of which patterns exist and how they work. Developers can then return to a particular pattern when the need for it arises. The first few elements (up to and include the "When to Use It" section) of each pattern should provide this overview.

Managers and coaches might prefer to focus on reading Part I, The Narratives, and perhaps Part II, The Test Smells. They might also need to read Chapter 18, Test Strategy Patterns, as these are decisions they need to understand and provide support to the developers as they work their way through these patterns. At a minimum, managers should read Chapter 3, Goals of Test Automation.

1 The Pattern Languages of Programs conference.

2 Technically, they are not truly patterns until they have been discovered by three independent project teams.

3 The testing function is sometimes referred to as "Quality Assurance." This usage is, strictly speaking, incorrect.

4 The Law of Raspberry Jam: "The wider you spread it, the thinner it gets."

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xUnit Test Patterns: Refactoring Test CodeBy Gerard Meszaros PDF

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