£44.99

Springer Real Mathematical Analysis - Undergraduate Texts

Name: Springer Real Mathematical Analysis - Undergraduate Texts
Brand: Springer
Price: 44.99 GBP
Availability: InStock

Mathematical Analysis

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Description

Master the fundamentals of real analysis with this specialized textbook from Springer. Based on an honors course taught at UC Berkeley, this book provides a unique approach to undergraduate mathematics by focusing on visual learning and challenging problems. It is designed to help students move beyond simple formulas to a deeper understanding of mathematical structures. This text covers essential topics including the natural construction of real numbers, basic point-set topology, and function spaces. It also explores multivariable calculus through differential forms, which leads to a simple proof of the Brouwer Fixed Point Theorem. To help bridge the gap between abstract theory and concrete understanding, the book includes a pictorial treatment of Lebesgue theory and four-dimensional visualization techniques. With over 150 detailed illustrations, this resource helps clarify abstract concepts and important points within proofs. Whether you are a student in an honors mathematics course or a self-learner, this book offers a clear and visual path through the complexities of mathematical analysis.

Key Features

Visual learning approach that uses over 150 detailed illustrations to help explain abstract concepts and key points in proofs.

Comprehensive coverage of core topics including the natural construction of real numbers and basic point-set topology.

Advanced mathematical instruction covering function spaces and multivariable calculus via differential forms.

Includes a pictorial treatment of Lebesgue theory to make complex subjects easier to grasp through imagery.

Provides a unique perspective on mathematical theory based on an honors course taught at UC Berkeley.

Includes four-dimensional visualization techniques and a simple proof of the Brouwer Fixed Point Theorem.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3319177702
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 07 August 2015
Listed Since: 12 March 2015

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Springer Real Mathematical Analysis - Undergraduate Texts

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