I’ve just received a book named Development of Elliptic Functions According to Ramanujan
by K Venkatachaliengar (deceased) , edited by: ShaunCooper , Shaun Cooper

Development of Elliptic Functions According to Ramanujan

This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter.

The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan’s work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.

Contents:

• The Basic Identity
• The Differential Equations of $$P$$, $$Q$$ and $$R$$
• The Jordan-Kronecker Function
• The Weierstrassian Invariants
• The Weierstrassian Invariants, II
• Development of Elliptic Functions
• The Modular Function $$\lambda$$

Readership: Graduate students and researchers in Number Theory and Classical Analysis, as well as scholars and aficionados of Ramanujan’s work.

Review

It is obvious that every arithmetician should want to own a copy of this book, and every modular former should put it on his ‘to be handled-with-loving-care-shelf.’ Reader of Venkatachaliengar’s fine, fine book should be willing to enter into that part of the mathematical world where Euler, Jacobi, and Ramanujan live: beautiful formulas everywhere, innumerable computations with infinite series, and striking manouevres with infinite products.

— MAA Reviews

The author was acquainted with many who knew Ramanujan, and so historical passages offer information not found in standard biographical sources. The author has studied Ramanujan’s papers and notebooks over a period of several decades. His keen insights, beautiful new theorems, and elegant proofs presented in this monograph will enrich readers.

— MathSciNet

The author has studied Ramanujan’s papers and notebooks over a period of several decades. His keen insights, beautiful new theorems, and elegant proofs presented in this monograph will enrich readers. italic Zentralblatt MATH

— Zentralblatt MATH

• Series: Monographs in Number Theory (Book 6)
• Hardcover: 184 pages
• Publisher: World Scientific Publishing Company (September 28, 2011)
• Language: English
• ISBN-10: 9814366455
• ISBN-13: 978-9814366458

Selected Papers: On Algebraic Geometry, Including Correspondence with Grothendieck

Hillary Clinton 的讲述她在国务院工作的故事的新书 “Hard Choices” 6 月 10 日登录全美各书店. Hillary Clinton 正在巡回全国, 签名售书.

Hillary Clinton: Hard Choices

Springer 刚出了一本”授业解惑”, 给大众论述数学当前热点的书 “A Mathematical Odyssey: Journey from the Real to the Complex“.

A Mathematical Odyssey-Journey from the Real to the Complex

Mathematics is both an art and a science. It is a science because it provides a panoply of analytic tools for understanding the world around us. It is an art because it is elegant and beautiful.

• Explores several hot-button topics that are difficult to find elsewhere in popular literature
• Contains thirteen chapters intended to intrigue a broad audience of readers, on subjects such as RSA encryption, wavelets, and relativity theory
• Makes math accessible with real-word examples, color figures, tables, graphs, and diagram analysis that almost any reader can appreciate and understand

$\delta^t(C)\leqslant\frac{90\sqrt{10}}{95\sqrt{10}-4}\quad\text{and}\quad\delta^t(T)\leqslant\frac{36\sqrt{10}}{95\sqrt{10}-4}$

$0.9183673\dotsm\leqslant\delta^t(C)\leqslant0.9601527\dotsm$

$0.3673459\dotsm\leqslant\delta^t(T)\leqslant0.3840610\dotsm.$

1. Sphere Packing, Springer-Verlag, New York, 1999;
2. Strange Phenomena in Convex and Discrete Geometry, Springer-Verlag, New York, 1996.

2009 年初, 科学出版社推出他的”离散几何欣赏”, 是姜伯驹主编的科普丛书”七彩数学”中的一本. 这个的厚度是前一本的两倍, 175 页, 有一些细节的证明.

目录

ISBN: 9787040395020

Basic Commutative Algebra, Balwant Singh, 终于到货了, 这是朕买过的最贵的书了.

Basic Commutative Algebra

Contents

• Rings and Ideals
• Modules and Algebras
• Polynomial and Power Series Rings
• Homological Tools I
• Tensor, Symmetric and Exterior Algebras
• Finiteness Conditions
• Primary Decomposition
• Filtrations and Completions
• Numerical Functions
• Principal Ideal Theorem
• Integral Extensions
• Normal Domains
• Transcendental Extensions
• Affine Algebras
• Derivations and Differentials
• Valuation Rings and Valuations
• Homological Tools II
• Homological Dimensions
• Depth
• Regular Rings
• Divisor Class Groups

Author: Balwant Singh
ISBN: 978-981-4313-61-2 (hardcover)  978-981-4313-62-9 (softcover)
2011 World Scientific Publishing Company

Explorations in Topology

Explorations in Topology: Map Coloring, Surfaces and Knots 是 David A. Gay 写的一本关于低维拓扑学(Low-dimensional topology)(map coloring, surfaces, and knots)的书. 第一版是 2007 年出现的, 现在 Elsevier Inc. 推出的新版对学生和研究者都是有价值的.

Color a Map with Four Colors

Front-matter, Pages i,iii
Dedication, Page v
Preface, Pages xi-xiii
Acknowledgments, Page xv
1 Acme Does Maps and Considers Coloring Them, Pages 1-25
2 Tours, Pages 27-46
3 Maps Data, Pages 47-68
4 Map Data and Map Coloring, Pages 69-82
5 How to Color a Map with Four Colors, Pages 83-97
6 Doughnuts, Pages 99-120
7 The Möbius Strip, Pages 121-142
8 New Worlds: Klein Bottles and Other Surfaces, Pages 143-168
9 Surface Sums and Euler Numbers, Pages 169-192
10 Classification of Surfaces, Pages 193-209
11 Classification (Part II), Existence and Four-Space, Pages 211-238
12 Coloring Maps on Surfaces, Pages 239-256
13 Knots, Pages 257-295
14 Projects, Pages 297-315

Author: David A. Gay
ISBN: 978-0-12-416648-6
2014 Elsevier Inc.