Mathematics, books

Here, this is the book I was trying to find:

""This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject." -- Provided by publisher"

A first course in analysis / John B. Conway (2018)

www.amazon.com/Course-Analysis-Cambridge-Mathematical-Textbooks/dp/1107173140/ref=sr_1_1?ie=UTF8&qid=1538863084&sr=8-1&keywords=A+first+course+in+analysis+%2F+John+B.+Conway

Original Thread:
www.tuscl.net/discussion.php5?id=61077

So considering:
A first course in analysis / John B. Conway (2018)

www.amazon.com/Course-Analysis-Cambridge-Mathematical-Textbooks/dp/1107173140/ref=sr_1_1?ie=UTF8&qid=1538863084&sr=8-1&keywords=A+first+course+in+analysis+%2F+John+B.+Conway


Lets compare it to the established standard: Walter Rudin, what I find for the table of contents is:



Table Of Contents:

Chapter 1: The Real and Complex Number Systems

Introduction

Ordered Sets

Fields

The Real Field

The Extended Real Number System

The Complex Field

Euclidean Spaces

Appendix

Exercises

Chapter 2: Basic Topology

Finite, Countable, and Uncountable Sets

Metric Spaces

Compact Sets

Perfect Sets

Connected Sets

Exercises

Chapter 3: Numerical Sequences and Series

Convergent Sequences

Subsequences

Cauchy Sequences

Upper and Lower Limits

Some Special Sequences

Series

Series of Nonnegative Terms

The Number e

The Root and Ratio Tests

Power Series

Summation by Parts

Absolute Convergence

Addition and Multiplication of Series

Rearrangements

Exercises

Chapter 4: Continuity

Limits of Functions

Continuous Functions

Continuity and Compactness

Continuity and Connectedness

Discontinuities

Monotonic Functions

Infinite Limits and Limits at Infinity

Exercises

Chapter 5: Differentiation

The Derivative of a Real Function

Mean Value Theorems

The Continuity of Derivatives

L'Hospital's Rule

Derivatives of Higher-Order

Taylor's Theorem

Differentiation of Vector-valued Functions

Exercises

Chapter 6: The Riemann-Stieltjes Integral

Definition and Existence of the Integral

Properties of the Integral

Integration and Differentiation

Integration of Vector-valued Functions

Rectifiable Curves

Exercises

Chapter 7: Sequences and Series of Functions

Discussion of Main Problem

Uniform Convergence

Uniform Convergence and Continuity

Uniform Convergence and Integration

Uniform Convergence and Differentiation

Equicontinuous Families of Functions

The Stone-Weierstrass Theorem

Exercises

Chapter 8: Some Special Functions

Power Series

The Exponential and Logarithmic Functions

The Trigonometric Functions

The Algebraic Completeness of the Complex Field

Fourier Series

The Gamma Function

Exercises

Chapter 9: Functions of Several Variables

Linear Transformations

Differentiation

The Contraction Principle

The Inverse Function Theorem

The Implicit Function Theorem

The Rank Theorem

Determinants

Derivatives of Higher Order

Differentiation of Integrals

Exercises

Chapter 10: Integration of Differential Forms

Integration

Primitive Mappings

Partitions of Unity

Change of Variables

Differential Forms

Simplexes and Chains

Stokes' Theorem

Closed Forms and Exact Forms

Vector Analysis

Exercises

Chapter 11: The Lebesgue Theory

Set Functions

Construction of the Lebesgue Measure

Measure Spaces

Measurable Functions

Simple Functions

Integration

Comparison with the Riemann Integral

Integration of Complex Functions

Functions of Class L²



Black Magick Volume 1: Awakening I
www.amazon.com/Black-Magick-Awakening/dp/163215675X/ref=sr_1_fkmr0_3?ie=UTF8&qid=1539120706&sr=8-3-fkmr0&keywords=Black+magick.+Awakening+Volume+1%2C+Awakening++%2F+created+by+Greg+Rucka

Black Magick Volume 2: Awakening II
www.amazon.com/gp/product/1534304835/ref=dbs_a_def_rwt_hsch_vapi_taft_p1_i7

The Necromancer (The Secrets of the Immortal Nicholas Flamel Book 4)
www.amazon.com/Necromancer-Secrets-Immortal-Nicholas-Flamel-ebook/dp/B0036S4C20/ref=sr_1_1?s=books&ie=UTF8&qid=1539120847&sr=1-1&keywords=The+necromancer++%2F+Michael+Scott

www.amazon.com/Secrets-Immortal-Nicholas-Flamel-Books/dp/B005H3XDUO/ref=sr_1_3?s=books&ie=UTF8&qid=1539120847&sr=1-3&keywords=The+necromancer++%2F+Michael+Scott
www.amazon.com/s/ref=nb_sb_noss_2?url=search-alias%3Dstripbooks&field-keywords=The+necromancer++%2F+Michael+Scott+