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实分析基础
理科类系列教材
Real Analysis
This is the second edition of a graduate level real analysis textbook formerly published by Prentice Hall (Pearson) in 1997. This edition contains both volumes. Volumes one and two can also be purchased separately in smaller, more convenient sizes.
Symmetric Properties of Real Functions
This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of sets or functions.
Real Analysis via Sequences and Series
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.
Application of Number
This new edition has been created to bring Application of Number in line with the changes at GNVQ.The vocational assignments have all been updated and rewritten, making them ideal for extension or assessment work. They will also prove particularly helpful to any non-specialists who have to teach mathematics required in their own subject.Key Points:· Clear style· Rich resource of exercises for students of all abilities· Contains everything you need to teach the key mathematics skills up to Level 3 with questions set in the vocational context
Managing Depression with CBT For Dummies
Rise above depression with CBT Cognitive Behavioural Therapy (CBT) is a hugely popular self-help technique, which teaches you to break free from destructive or negative behaviours and make positive changes to both your thoughts and your actions. This practical guide to managing depression with CBT will help you understand your depression, identify solutions to your problems, and maintain your gains and avoid relapse. Managing Depression with CBT For Dummies is a practical guide to using CBT to demolish depression by identifying and correcting negative thought patterns, recognizing the destructive power of ruminative thinking, confronting problems, and finding positive solutions. Helps you understand depression and how it develops Shows you how to correct negative thought patterns Gives you tried-and-true CBT techniques to combat your depression If you're struggling with depression, Managing Depression with CBT For Dummies gives you the tools you need to break down the barriers that prevent happiness from taking hold, and allowing you to build a positive future.
Elementary Real Analysis
This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001.Chapter 1. Real NumbersChapter 2. SequencesChapter 3. Infinite sumsChapter 4. Sets of real numbersChapter 5. Continuous functionsChapter 6. More on continuous functions and setsChapter 7. Differentiation Chapter 8. The IntegralChapter 9. Sequences and series of functionsChapter 10. Power seriesChapter 11. Euclidean Space R^nChapter 12. Differentiation on R^nChapter 13. Metric Spaces
Basic Real Analysis
Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.
Handbook of Analysis and Its Foundations
Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory a...
HMS Beagle
Adventure, shipwreck, storms and survival on the high seas
