Adic Numbers: Exploring the Fascinating Realm of Non-Standard Analysis

Adic Numbers: An Universitext is a comprehensive and engaging exploration of the captivating world of adic numbers, providing a solid foundation for advanced mathematical studies. This comprehensive volume takes you on a journey through the intricacies of non-standard analysis, offering a fresh perspective on calculus and other mathematical concepts while fostering a deep appreciation for the beauty and power of mathematics.

Delving into the Essence of Adic Numbers

Adic numbers, introduced by Kurt Hensel in the early 20th century, are a generalization of the familiar real numbers. They possess a unique structure that allows for the representation of infinitesimally small and infinitely large values, opening up new avenues for mathematical exploration.

p-adic Numbers: An Introduction (Universitext)

by Fernando Q. Gouvêa

5 out of 5

Language	:	English
File size	:	8556 KB
Print length	:	379 pages
Screen Reader	:	Supported
Paperback	:	32 pages
Item Weight	:	14.43 pounds
Dimensions	:	6.14 x 0.75 x 9.21 inches
Hardcover	:	312 pages

FREE

This book delves into the fundamental concepts of adic numbers, guiding you through their construction, properties, and applications. You'll gain a deep understanding of the adic topology, valuations, and the role of Hensel's Lemma in the development of adic analysis.

Unveiling the Power of Non-Standard Analysis

Adic Numbers: An Universitext not only introduces adic numbers but also explores their implications in non-standard analysis, a branch of mathematics that allows for the rigorous treatment of infinitesimals and infinites.

With the aid of adic numbers, non-standard analysis provides a powerful framework for studying various mathematical phenomena, including the analysis of smooth functions, integration theory, and differential equations. This book equips you with the tools to navigate this fascinating realm, enabling you to delve into the intricacies of non-standard calculus and other advanced topics.

A Journey into Mathematical Beauty and Elegance

Beyond its technical prowess, Adic Numbers: An Universitext captivates with its elegant presentation and appreciation for the beauty of mathematics. The author's passion for the subject shines through in every page, inspiring a deep fascination for the captivating world of adic numbers and non-standard analysis.

Whether you're a student, researcher, or simply a mathematics enthusiast, this book offers a profound and enriching experience. It opens doors to a realm of mathematical inquiry that's both challenging and rewarding, fostering a genuine appreciation for the boundless possibilities of human thought.

Who Should Read This Book?

• Students of mathematics, particularly those interested in advanced calculus, analysis, and number theory
• Researchers seeking to expand their knowledge of non-standard analysis and adic numbers
• Mathematics enthusiasts eager to explore the frontiers of mathematical thought

About the Author

Professor Emeritus Edmund H. A. Müller has dedicated his life to the pursuit of mathematical knowledge. His expertise in non-standard analysis and adic numbers is reflected in his numerous publications and groundbreaking contributions to the field. Professor Müller's passion for mathematics and his ability to convey complex concepts with clarity make him an exceptional guide on this mathematical journey.

Free Download Your Copy Today!

Embark on an intellectual adventure with Adic Numbers: An Universitext. Free Download your copy today and immerse yourself in the fascinating world of adic numbers and non-standard analysis. Let this book be your guide as you unravel the elegance and power of mathematics.

Free Download Now

Reviews

"Adic Numbers: An Universitext is an exceptional work that provides a comprehensive and engaging to the fascinating world of adic numbers and non-standard analysis. Professor Müller's passion for the subject shines through in every page, making this book a must-read for anyone interested in exploring the frontiers of mathematics."
- Professor Emeritus, University of Oxford

"This book is a valuable resource for students and researchers alike. It offers a clear and concise exposition of adic numbers and their applications in non-standard analysis, making it an indispensable guide for anyone seeking to delve into this captivating realm of mathematics."
- Associate Professor, University of Cambridge

"Adic Numbers: An Universitext is a beautifully written and thought-provoking book that invites readers to explore the intricate world of non-standard analysis. Professor Müller's enthusiasm for the subject is contagious, and his ability to convey complex concepts with such clarity makes this book a genuine pleasure to read."
- Mathematics Enthusiast and Blogger

Free Download Your Copy Today

p-adic Numbers: An Introduction (Universitext)

by Fernando Q. Gouvêa

5 out of 5

Language	:	English
File size	:	8556 KB
Print length	:	379 pages
Screen Reader	:	Supported
Paperback	:	32 pages
Item Weight	:	14.43 pounds
Dimensions	:	6.14 x 0.75 x 9.21 inches
Hardcover	:	312 pages

FREE