Schechter, Martin
Overview
Works:  54 works in 268 publications in 5 languages and 4,907 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Other 
Classifications:  QA614.7, 514.74 
Publication Timeline
.
Most widely held works by
Martin Schechter
Principles of functional analysis
by
Martin Schechter(
Book
)
45 editions published between 1971 and 2002 in 3 languages and held by 1,005 WorldCat member libraries worldwide
Functional analysis plays a crucial role in the applied sciences as well as in mathematics. In keeping with this fact the author has made this advanced textbook accessible to a wide range of students including advanced undergraduates
45 editions published between 1971 and 2002 in 3 languages and held by 1,005 WorldCat member libraries worldwide
Functional analysis plays a crucial role in the applied sciences as well as in mathematics. In keeping with this fact the author has made this advanced textbook accessible to a wide range of students including advanced undergraduates
Spectra of partial differential operators
by
Martin Schechter(
Book
)
24 editions published between 1971 and 1986 in 3 languages and held by 683 WorldCat member libraries worldwide
24 editions published between 1971 and 1986 in 3 languages and held by 683 WorldCat member libraries worldwide
Operator methods in quantum mechanics
by
Martin Schechter(
Book
)
24 editions published between 1981 and 2014 in English and Undetermined and held by 589 WorldCat member libraries worldwide
This advanced undergraduate and graduatelevel text introduces the power of operator theory as a tool in the study of quantum mechanics, assuming only a working knowledge of advanced calculus and no background in physics. The author presents a few simple postulates describing quantum theory, gradually introducing the mathematical techniques that help answer questions important to the physical theory; in this way, readers see clearly the purpose of the method and understand the accomplishment. The entire book is devoted to the study of a single particle moving along a straight line. By posing questions about the particle, the text gradually leads readers into the development of mathematical techniques that provide the answers. Lebesgue integration theory and complex variables are sometimes involved, but most of the book can be understood without them. Exercises at the end of each chapter provide helpful reinforcement
24 editions published between 1981 and 2014 in English and Undetermined and held by 589 WorldCat member libraries worldwide
This advanced undergraduate and graduatelevel text introduces the power of operator theory as a tool in the study of quantum mechanics, assuming only a working knowledge of advanced calculus and no background in physics. The author presents a few simple postulates describing quantum theory, gradually introducing the mathematical techniques that help answer questions important to the physical theory; in this way, readers see clearly the purpose of the method and understand the accomplishment. The entire book is devoted to the study of a single particle moving along a straight line. By posing questions about the particle, the text gradually leads readers into the development of mathematical techniques that provide the answers. Lebesgue integration theory and complex variables are sometimes involved, but most of the book can be understood without them. Exercises at the end of each chapter provide helpful reinforcement
Critical point theory and its applications
by
Wenming Zou(
)
19 editions published in 2006 in English and held by 586 WorldCat member libraries worldwide
Presents some of the research in the area of critical point theory. This book describes the methods and presents various applications. The topics covered include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups
19 editions published in 2006 in English and held by 586 WorldCat member libraries worldwide
Presents some of the research in the area of critical point theory. This book describes the methods and presents various applications. The topics covered include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups
Modern methods in partial differential equations : an introduction
by
Martin Schechter(
Book
)
20 editions published between 1977 and 2014 in English and Undetermined and held by 454 WorldCat member libraries worldwide
"When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a particularly fruitful era. Now it remains a permanent, muchcited contribution to the everexpanding literature on partial differential equations"
20 editions published between 1977 and 2014 in English and Undetermined and held by 454 WorldCat member libraries worldwide
"When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a particularly fruitful era. Now it remains a permanent, muchcited contribution to the everexpanding literature on partial differential equations"
Minimax systems and critical point theory
by
Martin Schechter(
)
15 editions published in 2009 in English and held by 454 WorldCat member libraries worldwide
This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points
15 editions published in 2009 in English and held by 454 WorldCat member libraries worldwide
This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points
Topics in critical point theory
by
Kanishka Perera(
Book
)
13 editions published between 2011 and 2013 in English and held by 347 WorldCat member libraries worldwide
"This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, pLaplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research"
13 editions published between 2011 and 2013 in English and held by 347 WorldCat member libraries worldwide
"This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, pLaplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research"
An introduction to nonlinear analysis
by
Martin Schechter(
Book
)
15 editions published between 2004 and 2012 in English and held by 286 WorldCat member libraries worldwide
Schechter's book deploys nonlinear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving nonlinear problems is developed whilst demonstrating their application
15 editions published between 2004 and 2012 in English and held by 286 WorldCat member libraries worldwide
Schechter's book deploys nonlinear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving nonlinear problems is developed whilst demonstrating their application
Linking methods in critical point theory
by
Martin Schechter(
Book
)
12 editions published between 1998 and 2012 in English and held by 209 WorldCat member libraries worldwide
12 editions published between 1998 and 2012 in English and held by 209 WorldCat member libraries worldwide
Partial differential equations
by
Lipman Bers(
Book
)
31 editions published between 1964 and 1998 in 3 languages and held by 199 WorldCat member libraries worldwide
31 editions published between 1964 and 1998 in 3 languages and held by 199 WorldCat member libraries worldwide
Partial differential equations : lecture notes, mathematics 365
by
Martin Schechter(
Book
)
3 editions published in 1961 in English and held by 29 WorldCat member libraries worldwide
3 editions published in 1961 in English and held by 29 WorldCat member libraries worldwide
Modern methods in partial differentiation equations : an introduction
by
Martin Schechter(
Book
)
1 edition published in 1977 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 6 WorldCat member libraries worldwide
Uravnenii︠a︡ s chastnymi proizvodnymi
by
Lipman Bers(
Book
)
2 editions published in 1966 in Russian and held by 6 WorldCat member libraries worldwide
2 editions published in 1966 in Russian and held by 6 WorldCat member libraries worldwide
An introduction to modern methods in partial differential equations
by
Martin Schechter(
Book
)
1 edition published in 1977 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 5 WorldCat member libraries worldwide
Pian wei fen fang cheng di xian dai fang fa
by
Martin Schechter(
Book
)
1 edition published in 1983 in Chinese and held by 3 WorldCat member libraries worldwide
1 edition published in 1983 in Chinese and held by 3 WorldCat member libraries worldwide
Lectures in applied mathematics : proceedings of the summer seminar, boulder, colorado, 1957
(
Book
)
1 edition published in 1959 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1959 in English and held by 3 WorldCat member libraries worldwide
Partial Differential Equations. By Lipman Bers, Fritz John, Martin Schechter, etc
by
Lipman Bers(
Book
)
1 edition published in 1964 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1964 in English and held by 2 WorldCat member libraries worldwide
Uravneniâ s častnymi proizvodnymi
by
Lipman Bers(
Book
)
2 editions published in 1966 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1966 in Russian and held by 2 WorldCat member libraries worldwide
Lectures in applied mathematics : proceedings of the summer seminar, Boulder, Colorado (June 23 to July 19,) 1957 : (sponsored by the American Mathematical Society)
(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
Partial differential equations : with special lectures by Lars Gårding and the late A. N. Milgram
(
Book
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
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Associated Subjects
Boundary value problems Chebyshev approximation Critical point theory (Mathematical analysis) Differential equations Differential equations, Linear Differential equations, Nonlinear Differential equations, Partial Differential operators Fixed point theory Functional analysis Global analysis (Mathematics) Mathematics Maxima and minima Mechanics Nonlinear boundary value problems Nonlinear functional analysis Nonlinear theories Numerical analysis Operator theory Partial differential operators Quantum theory Spectral theory (Mathematics)