Books › Textbooks › Science & Mathematics

Analysis (2) (Hindustan Book Agency)

Name: Analysis (2) (Hindustan Book Agency)
Price: 22.85 USD
Availability: InStock
Rating: 4.9 (32 reviews)

4.90 of 5 Stars: Science & Mathematics - Analysis (2) (Hindustan Book Agency)

$22.85

Buying Options

Description

Book Synopsis: This is part two of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning—the construction of the number systems and set theory—then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory. The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.

Details

Looking to deepen your understanding of real analysis? Look no further! Our book, "Analysis (2) (Hindustan Book Agency)", is the perfect resource for honours undergraduates who want to take their knowledge of calculus to the next level. This two-volume introduction focuses on rigour and foundations, ensuring that you gain a strong grasp of the subject matter.

The journey begins at the very beginning, with the construction of number systems and set theory. From there, you'll delve into the basics of analysis, including limits, series, continuity, differentiation, and Riemann integration. Power series, several variable calculus, Fourier analysis, and the Lebesgue integral are also covered comprehensively. You'll appreciate that the material is presented in the context of the real line and Euclidean spaces, with some exploration of abstract metric and topological spaces as well.

Our book isn't just about theory; it's designed to actively engage you in the learning process. By including numerous exercises and encouraging you to prove key results, you'll not only deepen your understanding but also develop your critical thinking and writing skills. You'll be able to actively apply what you learn and become a better analytical thinker.

In this fourth edition, we've incorporated a large number of additional corrections based on feedback from previous editions. Additionally, we've included new exercises to further enhance your learning experience. Get your hands on "Analysis (2) (Hindustan Book Agency)" and take your real analysis skills to new heights.

Don't miss out on this opportunity to master real analysis. Get your copy of "Analysis (2) (Hindustan Book Agency)" today and start your journey towards analytical excellence! Click here to order now.

See All Buying Options...

More Details...