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Real and Complex Analysis

Authors: Sinha, Rajnikant

  • Discusses major topics in real and complex analysis
  • Includes the essential analysis that is needed for the study of functional analysis
  • Presents applications of complex analysis to analytic number theory
  • Features over 800 step-by-step, fully solved examples
  • Is useful to undergraduate students of mathematics and engineering
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Buy this book

eBook $79.99
price for USA in USD (gross)
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 14, 2018
  • ISBN 978-981-13-0938-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $99.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: September 16, 2018
  • ISBN 978-981-13-0937-3
  • Free shipping for individuals worldwide
About this Textbook

This book offers a clear presentation of major topics in real and complex analysis. Intended for undergraduate mathematics and engineering students, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into seven chapters, it discusses the proof of the prime number theorem, Picard’s little theorem, Riemann’s zeta function, Euler’s gamma function and Riemann hypothesis. It also addresses the applications of complex analysis to analytic number theory in a manner that does not require any prior exposure to number theory. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work great mathematicians of the 19th and 20th centuries, such as Baire, Banach, Cauchy, Dirichlet, Fatou, Fourier, Fubini, Hadamard, Jordan, Lebesgue, Liouville, Minkowski, Morera, Picard, Poisson, Radon, Riemann, Riesz, Schwarz, Taylor, Weierstrass, and Young, to name just a few.

About the authors

RAJNIKANT SINHA is former professor of mathematics at Magadh University, Bodh Gaya, India. A passionate mathematician, Prof. Sinha has published numerous interesting research findings in international journals and books, including Smooth Manifolds (Springer) and the contributed book Solutions to Weatherburn’s Elementary Vector Analysis. His research focuses on topological vector spaces, differential geometry and manifolds.

Buy this book

eBook $79.99
price for USA in USD (gross)
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 14, 2018
  • ISBN 978-981-13-0938-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $99.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: September 16, 2018
  • ISBN 978-981-13-0937-3
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Real and Complex Analysis
Authors
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-0938-0
DOI
10.1007/978-981-13-0938-0
Hardcover ISBN
978-981-13-0937-3
Edition Number
1
Number of Pages
XI, 1034
Topics