Calculus & mathematical analysis books

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of...  Read More >>

This volume presents lectures given at the Wisła 20-21 Winter School and Workshop: Groups, Invariants, Integrals,...  Read More >>

"筆者畢業於交通大學應用數學研究所博士班，高中第一次數學段考只考了十幾分，班排名是最後一名，從成績吊車尾到拿到博士學位，關鍵的轉折是大三時期的一位教授，手把手教我怎麼學數學。回首求學路，有時會希望如果早點開竅便能少走很多的冤枉路，這本書將如何學數學的要領寫進書裡，希望學生們讀完這本書時不只學會了微積分也知道怎麼學數學。...  Read More >>

"筆者畢業於交通大學應用數學研究所博士班，高中第一次數學段考只考了十幾分，班排名是最後一名，從成績吊車尾到拿到博士學位，關鍵的轉折是大三時期的一位教授，手把手教我怎麼學數學。回首求學路，有時會希望如果早點開竅便能少走很多的冤枉路，這本書將如何學數學的要領寫進書裡，希望學生們讀完這本書時不只學會了微積分也知道怎麼學數學。...  Read More >>

A gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes...  Read More >>

It is a longstanding unsolved problem to characterize the optimal feedbacks for general SLQs with random coefficients...  Read More >>

A rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing...  Read More >>

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Contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory,...  Read More >>

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The goal of this book is to explore several well-known machine learning and data analysis algorithms from a mathematical...  Read More >>

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We consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity of degree p > 1. On compact manifolds...  Read More >>

In this paper, we study nonlinear stability of the 3D plane Couette flow (y, 0, 0) at high Reynolds number Re in...  Read More >>

In this article we provide conditions on the coefficient functions of the stochastic differential equation and on...  Read More >>

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This collection of four short courses looks at group representations, graph spectra, statistical optimality, and...  Read More >>

In the evolving environment of academic research, scholars face a persistent challenge – navigating the complexities...  Read More >>

Kolmogorov equations are a fundamental bridge between the theory of partial differential equations and that of stochastic...  Read More >>

The 3rd edition strikes a nice balance between mathematical rigor and engineering oriented applications, helping...  Read More >>

Dieses Buch betont die grundlegenden Konzepte des CS-Algorithmus und seiner Varianten sowie deren Anwendung zur...  Read More >>

Das vorliegende Buch analysiert den zukünftigen Temperaturverlauf der Erdoberfläche mithilfe eines naturwissenschaftlichen...  Read More >>

This book offers a novel theory of Vector Partitions, though very much grounded in the long-established work of...  Read More >>

This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed...  Read More >>