Personal Collection of Textbooks

0.1 Contents

• 0.2 Intro
• 0.3 Elements of Algebraic Topology
• 0.4 Functional Analysis
• 0.5 Abstract Algebra
• 0.6 Principles of Mathematical Analysis / Baby Rudin
• 0.7 Real and Complex Analysis
• 0.8 微积分学教程
• 0.9 Algebra

0.2 Intro

This is a personal collection of math and computer science textbooks. Each book contains:

• Name
• ISBN-10 ISBN-13
• Language
• Author
• Date of Publication
• Area
• Review / Description
• Preview Image
• Solution Manual (if available)

0.3 Elements of Algebraic Topology

Name: Elements of Algebraic Topology

ISBN-10: 0201627280

ISBN-13: 978-0201627282

Language: English

Author: James Raymond Munkres

Date of Publication: 1993

Area: Math, Algebraic Topology

Review / Description: Not finished reading yet.

0.4 Functional Analysis

Name: Functional Analysis

ISBN-10: 0070619883

ISBN-13: 978-0070619883

Language: English

Author: Walter Rudin

Date of Publication: 2007

Area: Math, Functional Analysis

Review / Description: Not finished reading yet.

0.5 Abstract Algebra

Name: Abstract Algebra

ISBN-10: 0471368792

ISBN-13: 978-0471368793

Language: English

Author: Israel Nathan Herstein

Date of Publication: 1996

Area: Math, Abstract Algebra

Review / Description: Not finished reading yet.

0.6 Principles of Mathematical Analysis / Baby Rudin

Name: Principles of Mathematical Analysis

ISBN-10: 007054235X

ISBN-13: 978-0070542358

Language: English

Author: Walter Rudin

Date of Publication: 1976

Area: Math, Mathematical Analysis

Review / Description: Good book. Rudin's style.

Preview Image:

Solution Manual: Check

0.7 Real and Complex Analysis

Name: Real and Complex Analysis

ISBN-10: 0070542341

ISBN-13: 978-0070542341

Language: English

Author: Walter Rudin

Date of Publication: 1976

Area: Math, Mathematical Analysis

Review / Description: Not finished reading yet.

0.8 微积分学教程

Name: 微积分学教程

第一卷：

ISBN-10: 704018303X

ISBN-13: 9787040183030

第二卷：

ISBN-10: 7040183048

ISBN-13: 9787040183047

第三卷：

ISBN-10: 7040183056

ISBN-13: 9787040183054

Language: Chinese

Author: Grigorii Fichtenholz

Date of Publication: 2008

Area: Math, Mathematical Analysis

Review / Description:

微积分学教程 is a Chinese translation of the original Russian textbook "Курс дифференциального и интегрального исчисления" (Course of Differential and Integral Calculus) by Grigorii Fichtenholz. The book is a comprehensive introduction to calculus and covers topics such as limits, derivatives, integrals, applications of calculus, and series.

The book is well-regarded by many mathematicians and educators, and is often used as a textbook for calculus courses in universities in Russia and China. The book is known for its clear and concise explanations, rigorous proofs, and wide range of examples and exercises.

One potential drawback of the book for some readers is that it is quite dense and may require a strong mathematical background to fully understand. Additionally, some readers may prefer a more modern approach to teaching calculus that incorporates more visual aids or real-world applications.

Overall, 微积分学教程 by Grigorii Fichtenholz is a highly respected textbook on calculus, and would likely be a valuable resource for students and educators looking to gain a deep understanding of the subject.

0.9 Algebra

Name: Algebra

ISBN-10: 0132413779 ISBN-13: 9780132413770

Language: English

Author: Michael Artin

Date of Publication: 2010

Area: Math, Abstract Algebra, Linear Algebra

Review / Description:

Algebra is a comprehensive textbook on algebraic structures, including groups, rings, and fields. The book covers topics such as group actions, Galois theory, and homological algebra. The text is known for its clear and concise explanations, as well as its emphasis on geometric interpretations of algebraic concepts.

The book is well-regarded by many mathematicians and educators, and is often used as a textbook for advanced undergraduate or graduate-level courses in algebra. It is particularly popular among students and researchers interested in algebraic geometry and number theory.

One potential drawback of the book for some readers is that it may be too advanced for those without a strong mathematical background. Additionally, some readers may prefer a more traditional approach to algebra, rather than the geometric viewpoint presented in the book.

Overall, Algebra by Michael Artin is a highly respected textbook on algebra, and would likely be a valuable resource for students and educators looking to gain a deep understanding of the subject.