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Introductory Analysis: A Deeper View of Calculus

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Introductory real analysis can be an exciting course; it is the gateway to an impressive panorama of higher mathematics. But for all too many students, the excitement takes the form of anxiety or even terror; they are overwhelmed. For many, their study of mathematics ends one course sooner than they expected, and for many others, the doorways that should have been opened now seem rigidly barred. It shouldn’t have to be that way, and this book is offered as a remedy.

GOALS FOR INTRODUCTORY ANALYSIS

The goals of first courses in real analysis are often too ambitious. Students are expected to solidify their understanding of calculus, adopt an abstract point of view that generalizes most of the concepts, recognize how explicit examples fit into the general theory and determine whether they satisfy appropriate hypotheses, and not only learn definitions, theorems, and proofs but also learn how to construct valid proofs and relevant examples to demonstrate the need for the hypotheses. Abstract properties such as countability, compactness and connectedness must be mastered.
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Advances in Control Systems and its Infrastructure: Proceedings of ICPCCI 2019 (Lecture Notes in Electrical Engineering)
Advances in Control Systems and its Infrastructure: Proceedings of ICPCCI 2019 (Lecture Notes in Electrical Engineering)

This book gathers selected research papers presented at the International Conference on Power, Control and Communication Infrastructure 2019 (ICPCCI 2019), organized by the Institute of Infrastructure, Technology, Research and Management (IITRAM), Ahmedabad, Gujarat, India, on July 4–5, 2019. It presents the latest advances,...

Customer and Business Analytics (Chapman & Hall/CRC The R Series)
Customer and Business Analytics (Chapman & Hall/CRC The R Series)

Customer and Business Analytics: Applied Data Mining for Business Decision Making Using R explains and demonstrates, via the accompanying open-source software, how advanced analytical tools can address various business problems. It also gives insight into some of the challenges faced when deploying these tools....

Python: Master the Art of Design Patterns
Python: Master the Art of Design Patterns

About This Book

  • Learn all about abstract design patterns and how to implement them in Python 3
  • Understand the structural, creational, and behavioral Python design patterns
  • Get to know the context and application of design patterns to solve real-world problems in software...

Programming C#
Programming C#
C# is designed from the ground up for development on Microsoft's new .NET framework. As such, it's a high-performance language that's simple, safe, object-oriented, and Internet-centric. Programming C# teaches this new language in a way that experienced programmers will appreciate--by grounding its applications firmly in the context of...
Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics)
Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics)

This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in...

Android Game Recipes: A Problem-Solution Approach
Android Game Recipes: A Problem-Solution Approach

Android game apps are typically the most popular type of Android apps in the various Google Play, Amazon Appstore and other Android app stores. So, beyond the Android game tutorials out there, what about a day-to-day handy and complete code reference for Android game developers?

Android Game Recipes is your first, reliable...

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