Methods of Nonlinear Analysis

Discontinuity in dynamic systems is a tough property for analysis and control of the system. However, in practical engineering, we are often faced withthe discontinuity in control system design. In dy

This standard contains 14 test methods, with improvement and upgrade on the measurement apparatus, chemical reagents and measurement methods。The revision of this standard is carried out by Sinohydro C

The book aids planners in answering the following crucial questions： “Who are they?”, “What do they do?”, “Where do these activities occur?”, "How human activities are connected?”, "What are the economic effects?". In addition to detailed explanations of the selected methods, the book provides a context (scenario analysis) for applying them in performance assessment and impact analysis.

functions and Hecke L-functions of an imaginary quadratic field，and various problems on elliptic modular forms. As to the values of Dirichlet L-functions， all previous papers and books reiterate a single old result with a single old method. After a review ofelementary Fourier analysis， the author presents completely new results with new methods. though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications， new formulas for the second factor ofthe class number of a cyclotomic field will be given. The second half of the book assumes familiarity with basic knowledge ofmodular forms. However，all definitions and facts are clearly stated， and precise references are given. The notion ofnearly holomorphic modular forms is introduced and applied to the determination of the critical values of Hecke L-functions of an imaginary quadratic field. Other notable features of the book are： (1) some new results on classical E

本書結合我國當下“食品安全”熱點問題，以果蔬農殘、食用植物油、小麥粉、茶葉等檢測對象為例，系統介紹了作者所在課題組採用多種光譜技術（近紅外、中紅外、拉曼及紫外等）在農產品和食品品質快速檢測中的研究理論、方法以及應用成果，並重點探討了多種光譜技術在農產品和食品品質快速檢測領域中的應用可行性及存在問題。

《非線性雙曲型方程的一些問題與應用(國內英文版)》內容簡介：This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear

本書從爆破震動信號的產生與傳播、爆破震動監測、爆破震動預測、爆破震動信號分析技術、爆破震動作用下結構體的動態響應特征、爆破震動危害機制與主動控制、爆破震動安全判據等方面，對爆破震動效應進行了較為全面且深入的研究和總結，系統介紹了爆破震動效應分析中的理論和研究方法，特別是應用爆破震動信號分析理論與技術解決實際問題的途徑。本書可作為高等院校礦業工程、土木工程等專業研究生的教材，還可作為相關領域的工程技

This book is compiled according to the requirements of technical skills and theoretical knowledge for the advanced lathe worker in the revised national vocational qualification standard. This book introduces four modules, including machining long lead screw and worm, eccentric parts and multi-throw crankshaft, machining gearbox, and machining assembly, with tasks and subtasks in each module, with regard to the workpiece diagram recognition, processing analysis and calculation of various parts, such as long lead screw, multi-start thread, multi-line worms, double eccentric parts, four-throw crankshaft, gear reducer, worm gear reducer, bevel gears, bisector parts, mold, combined shaft and kit, as well as their clamping and positioning methods, processing methods, dimensional and geometric accuracy test methods, surface quality assurance methods, common quality problems and preventive measures or solutions, etc.This book can be used as a teaching book for mechanical, mechatronics,etc. app

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book has served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references.Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory （the possible branching of solutions as parameters vary）, including the proof of Rabinowitz's global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems.After more than 20 years, this book continues to be an excellent

Nonsmooth analysis refers to differential analysis in the absence of differentiability. It can be regarded as a subfield of that vast subject known as nonlinear analysis. While nonsmooth analysis has

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modem mathematical physics. It describes the fundamental principles of functional analysis and

This volume continues our series of texts devoted to functional analysis methods in mathematical physics. In Volume I we announced a table of contents for Volume II. However, in the preparation of the