Geometry 1

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie algebras, including the classification of complex semisimple Lie……続きを見る

Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological gro……続きを見る

**"A must-read.”ーAvi Loeb, New York Times–bestselling author of Extraterrestrial One of the preeminent mathematicians of the past half century shows how physics and math were combined to give us th……続きを見る

"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, ……続きを見る

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the……続きを見る

In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometr……続きを見る

The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This ……続きを見る

This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on inf……続きを見る

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with ……続きを見る

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for ……続きを見る

Petrus Ramus's 'The Way To Geometry' is a groundbreaking work that revolutionized the teaching of mathematics in the 16th century. Ramus presents geometric principles in a clear and accessible manne……続きを見る

In the second edition of 'The Seven Follies of Science' by John Phin, the author delves into the fascinating world of scientific misconceptions and errors that have persisted throughout history. Usi……続きを見る

Edwin A. Abbott's 'Flatland (Illustrated)' is a groundbreaking work of mathematical fiction that explores the concept of multiple dimensions through the lens of a two-dimensional world inhabited by ……続きを見る

Breaking Classical Rules in Trigonometry-Mission 2050. Exact radical values of all integer angles and polygon based on newly developed method named as Precise-Rewritten method of exact values in tri……続きを見る

In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized a……続きを見る

In modern philosophy of nature the World is unified and holistic. Cosmic Universe and Human History, microcosm and macrocosm, inorganic and living matter coexist and form a unique unity manifested i……続きを見る

Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wile……続きを見る

Time Travel is the companion book to Mindkind: Math & Physics for the New Millennium. There we are provided with a new math and physics to carry us forward into the future. In Time Travel, we go bac……続きを見る

Fractal Delight is a collection of fractal based imagery with some 3D mixed in. These are the foundations for my video production whereby I play with colours and shapes before I embark on the task o……続きを見る

Sacred geometry is at the heart of a thousand years of art and architecture as represented in mosques, temples and churches around the world. Stunning in their search of perfection amid countless sy……続きを見る

Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and……続きを見る

The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they intr……続きを見る

In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or……続きを見る

First published in 1687, "The Mathematical Principles of Natural Philosophy", often referred to as simply the "Principia", is a work in three books by Isaac Newton. "The Mathematical Principles of N……続きを見る

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic res……続きを見る

Understanding maths has never been easier. Combining bold, elegant graphics with easy-to-understand text, Simply Maths is the perfect introduction to the subject for those who are short of time but ……続きを見る

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method……続きを見る

This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very bas……続きを見る

Hit the geometry wall? Get up and running with this no-nonsense guide! Does the thought of geometry make you jittery? You're not alone. Fortunately, this down-to-earth guide helps you approach it fr……続きを見る

‘An astonishingly readable and informative history of the greatest mathematical bestseller of all time … The writing is vivid and the stories are gripping. Highly recommended ’ IAN STEWART, AUTHOR O……続きを見る